/Bioelectrics/Bidomain/jrw-1998.xml

http://github.com/xyan075/examples · XML · 5333 lines · 4738 code · 290 blank · 305 comment · 0 complexity · 37f7f29a040fabee36fb7c2b8debc8e2 MD5 · raw file

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  1. <?xml version="1.0" encoding="iso-8859-1"?>
    2. 

  2. 

  3. 

  4. <!--  FILE :  jafri_rice_winslow_model_1998.xml
    5. 

  5. 

  6. CREATED :  September 2001
    7. 

  7. 

  8. LAST MODIFIED : 30th July 2003
    9. 

  9. 

  10. AUTHOR :  Catherine Lloyd
    11. 

  11.           Department of Engineering Science
    12. 

  12.           The University of Auckland
    13. 

  13.           
    14. 

  14. MODEL STATUS :  This model conforms to the CellML 1.0 Specification released on
    15. 

  15. 10th August 2001, and the CellML Metadata 1.0 Specification released on 16th
    16. 

  16. January, 2002.
    17. 

  17. 

  18. DESCRIPTION :  This file contains a CellML description of the mammalian
    19. 

  19. ventricular action potential based on the Jafri-Rice-Winslow model, 1998.  This
    20. 

  20. model is a development of the LR-II model.  In particular, it makes an accurate
    21. 

  21. model of the membrane currents and adds a more sophisticated model of calcium
    22. 

  22. ion handling.
    23. 

  23. 

  24. CHANGES: 
    25. 

  25.   19/10/2001 - CML - Removed document type definition as this is declared as
    26. 

  26.                      optional according to the W3C recommendation.  
    27. 

  27.   24/10/2001 - CML - Made changes to some of the metadata, bringing them up to
    28. 

  28.                      date with the most recent working draft (26th September) of
    29. 

  29.                      the Metadata specification.
    30. 

  30.   07/12/2001 - CML - Changed tau_y_calculation after checking mathml using the
    31. 

  31.                      validator.
    32. 

  32.   04/01/2002 - CML - Altered some of the connections.
    33. 

  33.   21/01/2002 - AAC - Updated metadata to conform to the 16/1/02 CellML Metadata
    34. 

  34.                      1.0 Specification.
    35. 

  35.   25/02/2002 - CML - Corrected several equations.
    36. 

  36.   28/02/2002 - CML - Corrected several equations, variable units and their 
    37. 

  37.                      initial values.
    38. 

  38.   06/05/2002 - CML - Added some initial values.
    39. 

  39.   22/07/2002 - CML - Added more metadata.
    40. 

  40.   09/04/2003 - AAC - Added publication date information.  
    41. 

  41.   04/06/2003 - CML - Fixed MathML in a few components.
    42. 

  42.   30/07/2003 - CML - Altered a few equations.
    43. 

  43. -->
    44. 

  44. 

  45. <model
    46. 

  46.     name="jafri_rice_winslow_model_1998"
    47. 

  47.     cmeta:id="jafri_rice_winslow_model_1998"
    48. 

  48.     xmlns="http://www.cellml.org/cellml/1.0#"
    49. 

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    50. 

  50.     xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
    51. 

  51.   <rdf:RDF
    52. 

  52.       xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    53. 

  53.       xmlns:cmeta="http://www.cellml.org/metadata/1.0#"
    54. 

  54.       xmlns:bqs="http://www.cellml.org/bqs/1.0#"
    55. 

  55.       xmlns:dc="http://purl.org/dc/elements/1.1/"
    56. 

  56.       xmlns:dcterms="http://purl.org/dc/terms/"
    57. 

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    58. 

  58.     <!--
    59. 

  59.       The following RDF block contains metadata that applies to this document
    60. 

  60.       as a whole, as indicated by the empty about attribute on the 
    61. 

  61.       <rdf:Description> element.
    62. 

  62.     -->
    63. 

  63.     <rdf:Description rdf:about="">
    64. 

  64.       <!--
    65. 

  65.         The Model Builder Metadata.  The Dublin Core "creator" element is used  
    66. 

  66.         to indicate the person who translated the model into CellML.
    67. 

  67.       -->
    68. 

  68.       <dc:creator rdf:parseType="Resource">
    69. 

  69.         <vCard:N rdf:parseType="Resource">
    70. 

  70.           <vCard:Family>Lloyd</vCard:Family>
    71. 

  71.           <vCard:Given>Catherine</vCard:Given>
    72. 

  72.           <vCard:Other>May</vCard:Other>
    73. 

  73.         </vCard:N>
    74. 

  74.         <vCard:EMAIL rdf:parseType="Resource">
    75. 

  75.           <rdf:value>c.lloyd@auckland.ac.nz</rdf:value>
    76. 

  76.           <rdf:type rdf:resource="http://imc.org/vCard/3.0#internet" />
    77. 

  77.         </vCard:EMAIL>
    78. 

  78.         <vCard:ORG rdf:parseType="Resource">
    79. 

  79.           <vCard:Orgname>The University of Auckland</vCard:Orgname>
    80. 

  80.           <vCard:Orgunit>The Bioengineering Research Group</vCard:Orgunit>
    81. 

  81.         </vCard:ORG>
    82. 

  82.       </dc:creator>
    83. 

  83.       
    84. 

  84.       <!--
    85. 

  85.         The Creation Date metadata. This is the date on which the model
    86. 

  86.         was translated into CellML.
    87. 

  87.       -->
    88. 

  88.       <dcterms:created rdf:parseType="Resource">
    89. 

  89.         <dcterms:W3CDTF>2001-09-24</dcterms:W3CDTF>
    90. 

  90.       </dcterms:created>
    91. 

  91.       
    92. 

  92.       <!--
    93. 

  93.         The Modification History metadata. This lists the changes that have been
    94. 

  94.         made to the document, who made the changes, and when they were made.
    95. 

  95.       -->
    96. 

  96.       <cmeta:modification rdf:parseType="Resource">
    97. 

  97.         <rdf:value>
    98. 

  98.           Corrected equations.
    99. 

  99.         </rdf:value>
    100. 

  100.         <cmeta:modifier rdf:parseType="Resource">
    101. 

  101.           <vCard:N rdf:parseType="Resource">
    102. 

  102.             <vCard:Family>Lloyd</vCard:Family>
    103. 

  103.             <vCard:Given>Catherine</vCard:Given>
    104. 

  104.             <vCard:Other>May</vCard:Other>
    105. 

  105.           </vCard:N>
    106. 

  106.         </cmeta:modifier>
    107. 

  107.         <dcterms:modified rdf:parseType="Resource"> 
    108. 

  108.           <dcterms:W3CDTF>2003-07-30</dcterms:W3CDTF>
    109. 

  109.         </dcterms:modified>
    110. 

  110.       </cmeta:modification>
    111. 

  111.       <cmeta:modification rdf:parseType="Resource">
    112. 

  112.         <rdf:value>
    113. 

  113.           Corrected equations: alpha_j_calculation and beta_j_calculation in 
    114. 

  114.           fast_sodium_current_j_gate, alpha_X_calculation and beta_X_calculation           in time_dependent_potassium_current_X_gate, and f_NaK_calculation and 
    115. 

  115.           i_NaK_calculation in Ca_release_current_from_JSR.
    116. 

  116.         </rdf:value>
    117. 

  117.         <cmeta:modifier rdf:parseType="Resource">
    118. 

  118.           <vCard:N rdf:parseType="Resource">
    119. 

  119.             <vCard:Family>Lloyd</vCard:Family>
    120. 

  120.             <vCard:Given>Catherine</vCard:Given>
    121. 

  121.             <vCard:Other>May</vCard:Other>
    122. 

  122.           </vCard:N>
    123. 

  123.         </cmeta:modifier>
    124. 

  124.         <dcterms:modified rdf:parseType="Resource"> 
    125. 

  125.           <dcterms:W3CDTF>2003-06-04</dcterms:W3CDTF>
    126. 

  126.         </dcterms:modified>
    127. 

  127.       </cmeta:modification>
    128. 

  128.       <cmeta:modification rdf:parseType="Resource">
    129. 

  129.         <rdf:value>
    130. 

  130.           Added some initial values from Penny Noble's documentation.
    131. 

  131.         </rdf:value>
    132. 

  132.         <cmeta:modifier rdf:parseType="Resource">
    133. 

  133.           <vCard:N rdf:parseType="Resource">
    134. 

  134.             <vCard:Family>Lloyd</vCard:Family>
    135. 

  135.             <vCard:Given>Catherine</vCard:Given>
    136. 

  136.             <vCard:Other>May</vCard:Other>
    137. 

  137.           </vCard:N>
    138. 

  138.         </cmeta:modifier>
    139. 

  139.         <dcterms:modified rdf:parseType="Resource">
    140. 

  140.           <dcterms:W3CDTF>2002-05-06</dcterms:W3CDTF>
    141. 

  141.         </dcterms:modified>
    142. 

  142.       </cmeta:modification>
    143. 

  143.       <cmeta:modification rdf:parseType="Resource">
    144. 

  144.         <rdf:value>
    145. 

  145.           Corrected several equations, variable units and their initial values.
    146. 

  146.         </rdf:value>
    147. 

  147.         <cmeta:modifier rdf:parseType="Resource">
    148. 

  148.           <vCard:N rdf:parseType="Resource">
    149. 

  149.             <vCard:Family>Lloyd</vCard:Family>
    150. 

  150.             <vCard:Given>Catherine</vCard:Given>
    151. 

  151.             <vCard:Other>May</vCard:Other>
    152. 

  152.           </vCard:N>
    153. 

  153.         </cmeta:modifier>
    154. 

  154.         <dcterms:modified rdf:parseType="Resource">
    155. 

  155.           <dcterms:W3CDTF>2002-02-28</dcterms:W3CDTF>
    156. 

  156.         </dcterms:modified>
    157. 

  157.       </cmeta:modification>  
    158. 

  158.       <cmeta:modification rdf:parseType="Resource">
    159. 

  159.         <rdf:value>
    160. 

  160.           Corrected several equations.
    161. 

  161.         </rdf:value>
    162. 

  162.         <cmeta:modifier rdf:parseType="Resource">
    163. 

  163.           <vCard:N rdf:parseType="Resource">
    164. 

  164.             <vCard:Family>Lloyd</vCard:Family>
    165. 

  165.             <vCard:Given>Catherine</vCard:Given>
    166. 

  166.             <vCard:Other>May</vCard:Other>
    167. 

  167.           </vCard:N>
    168. 

  168.         </cmeta:modifier>
    169. 

  169.         <dcterms:modified rdf:parseType="Resource">
    170. 

  170.           <dcterms:W3CDTF>2002-02-25</dcterms:W3CDTF>
    171. 

  171.         </dcterms:modified>
    172. 

  172.       </cmeta:modification>   
    173. 

  173.       <cmeta:modification rdf:parseType="Resource">
    174. 

  174.         <rdf:value>
    175. 

  175.           Altered some of the connections.
    176. 

  176.         </rdf:value>
    177. 

  177.         <cmeta:modifier rdf:parseType="Resource">
    178. 

  178.           <vCard:N rdf:parseType="Resource">
    179. 

  179.             <vCard:Family>Lloyd</vCard:Family>
    180. 

  180.             <vCard:Given>Catherine</vCard:Given>
    181. 

  181.             <vCard:Other>May</vCard:Other>
    182. 

  182.           </vCard:N>
    183. 

  183.         </cmeta:modifier>
    184. 

  184.         <dcterms:modified rdf:parseType="Resource">
    185. 

  185.           <dcterms:W3CDTF>2002-01-04</dcterms:W3CDTF>
    186. 

  186.         </dcterms:modified>
    187. 

  187.       </cmeta:modification>
    188. 

  188.       <cmeta:modification rdf:parseType="Resource">
    189. 

  189.         <rdf:value>
    190. 

  190.           Changed tau_y_calculation after checking mathml using the validator.
    191. 

  191.         </rdf:value>
    192. 

  192.         <cmeta:modifier rdf:parseType="Resource">
    193. 

  193.           <vCard:N rdf:parseType="Resource">
    194. 

  194.             <vCard:Family>Lloyd</vCard:Family>
    195. 

  195.             <vCard:Given>Catherine</vCard:Given>
    196. 

  196.             <vCard:Other>May</vCard:Other>
    197. 

  197.           </vCard:N>
    198. 

  198.         </cmeta:modifier>
    199. 

  199.         <dcterms:modified rdf:parseType="Resource">
    200. 

  200.           <dcterms:W3CDTF>2001-12-07</dcterms:W3CDTF>
    201. 

  201.         </dcterms:modified>
    202. 

  202.       </cmeta:modification>
    203. 

  203.       <cmeta:modification rdf:parseType="Resource">
    204. 

  204.         <rdf:value>
    205. 

  205.           Removed document type definition as this is declared as optional
    206. 

  206.           according to the W3C recommendation.
    207. 

  207.         </rdf:value>
    208. 

  208.         <cmeta:modifier rdf:parseType="Resource">
    209. 

  209.           <vCard:N rdf:parseType="Resource">
    210. 

  210.             <vCard:Family>Lloyd</vCard:Family>
    211. 

  211.             <vCard:Given>Catherine</vCard:Given>
    212. 

  212.             <vCard:Other>May</vCard:Other>
    213. 

  213.           </vCard:N>
    214. 

  214.         </cmeta:modifier>
    215. 

  215.         <dcterms:modified rdf:parseType="Resource">
    216. 

  216.           <dcterms:W3CDTF>2001-10-19</dcterms:W3CDTF>
    217. 

  217.         </dcterms:modified>
    218. 

  218.       </cmeta:modification>
    219. 

  219.       
    220. 

  220.       
    221. 

  221.       <!-- The Publisher metadata. -->
    222. 

  222.       <dc:publisher>
    223. 

  223.         The University of Auckland, Bioengineering Research Group
    224. 

  224.       </dc:publisher>
    225. 

  225.     </rdf:Description>
    226. 

  226.     
    227. 

  227.     <!--
    228. 

  228.       The following metadata refers to the model itself, as indicated by the
    229. 

  229.       reference to the ID "jafri_rice_winslow_model_1998", which is declared on 
    230. 

  230.       the <model> element.
    231. 

  231.     -->
    232. 

  232.     <rdf:Description rdf:about="#jafri_rice_winslow_model_1998">
    233. 

  233.       <!-- A human readable name for the model. -->
    234. 

  234.       <dc:title>
    235. 

  235.         The Jafri-Rice-Winslow Model for Calcium Regulation in the Ventricular
    236. 

  236.         Myocyte, 1997
    237. 

  237.       </dc:title>
    238. 

  238.       
    239. 

  239.       <!-- A comment regarding the model. -->
    240. 

  240.       <cmeta:comment rdf:parseType="Resource">
    241. 

  241.         <rdf:value>
    242. 

  242.           This is the CellML description of Jafri, Rice and Winslow's           
    243. 

  243.           mathematical model for calcium regulation in the ventricular myocyte. 
    244. 

  244.           It is based on an accurate model of the membrane currents and adds a  
    245. 

  245.           more sophisticated model of calcium handling.  The JRW model is based 
    246. 

  246.           on the LR-II model for ventricular action potentials, with several    
    247. 

  247.           modifications. 
    248. 

  248.         </rdf:value>
    249. 

  249.         <!-- The creator of the comment. -->
    250. 

  250.         <dc:creator rdf:parseType="Resource">
    251. 

  251.           <vCard:FN>Catherine Lloyd</vCard:FN>
    252. 

  252.         </dc:creator>
    253. 

  253.       </cmeta:comment>
    254. 

  254.       
    255. 

  255.       <!-- The model is relevant to all mammals. -->
    256. 

  256.       <cmeta:species>Mammalia</cmeta:species>
    257. 

  257.       
    258. 

  258.       <cmeta:bio_entity>Ventricular Myocyte</cmeta:bio_entity>
    259. 

  259.       
    260. 

  260.       <!-- 
    261. 

  261.         The CellML Metadata Specification recommends that bibliographic metadata
    262. 

  262.         is used to provide information about the original model reference.  The 
    263. 

  263.         "identifier" attribute on the "BibliographicReference" class provides an
    264. 

  264.         elegant way to identify a cited reference using a database identifier            such as Pubmed.  All associated data such as author, journal title,     
    265. 

  265.         date, etc can be looked up on the database.
    266. 

  266.       -->
    267. 

  267.       <bqs:reference rdf:parseType="Resource">
    268. 

  268.         <bqs:Pubmed_id>9512016</bqs:Pubmed_id>
    269. 

  269.         <bqs:JournalArticle rdf:parseType="Resource">
    270. 

  270.           <dc:creator>
    271. 

  271.             <rdf:Seq>
    272. 

  272.               <rdf:li rdf:parseType="Resource">
    273. 

  273.                 <bqs:Person rdf:parseType="Resource">
    274. 

  274.                   <vCard:N rdf:parseType="Resource">
    275. 

  275.                     <vCard:Family>Jafri</vCard:Family>
    276. 

  276.                     <vCard:Given>M</vCard:Given>
    277. 

  277.                     <vCard:Other>Saleet</vCard:Other>
    278. 

  278.                   </vCard:N>
    279. 

  279.                 </bqs:Person>
    280. 

  280.               </rdf:li>
    281. 

  281.               <rdf:li rdf:parseType="Resource">
    282. 

  282.                 <bqs:Person rdf:parseType="Resource">
    283. 

  283.                   <vCard:N rdf:parseType="Resource">
    284. 

  284.                     <vCard:Family>Rice</vCard:Family>
    285. 

  285.                     <vCard:Given>John</vCard:Given>
    286. 

  286.                     <vCard:Other>Jeremy</vCard:Other>
    287. 

  287.                   </vCard:N>
    288. 

  288.                 </bqs:Person>
    289. 

  289.               </rdf:li>
    290. 

  290.               <rdf:li rdf:parseType="Resource">
    291. 

  291.                 <bqs:Person rdf:parseType="Resource">
    292. 

  292.                   <vCard:N rdf:parseType="Resource">
    293. 

  293.                     <vCard:Family>Winslow</vCard:Family>
    294. 

  294.                     <vCard:Given>Raimond</vCard:Given>
    295. 

  295.                     <vCard:Other>L</vCard:Other>
    296. 

  296.                   </vCard:N>
    297. 

  297.                 </bqs:Person>
    298. 

  298.               </rdf:li>
    299. 

  299.             </rdf:Seq>
    300. 

  300.           </dc:creator>
    301. 

  301.           <dc:title>
    302. 

  302.             Cardiac Ca2+ Dynamics: The Roles of Ryanodine Receptor Adaptation 
    303. 

  303.             and Sarcoplasmic Reticulum Load
    304. 

  304.           </dc:title>
    305. 

  305.           <dcterms:issued rdf:parseType="Resource">
    306. 

  306.             <dcterms:W3CDTF>1998-03</dcterms:W3CDTF>
    307. 

  307.           </dcterms:issued>
    308. 

  308.           <bqs:Journal rdf:parseType="Resource">
    309. 

  309.             <dc:title>Biophysical Journal</dc:title>
    310. 

  310.           </bqs:Journal>
    311. 

  311.           <bqs:volume>74</bqs:volume>
    312. 

  312.           <bqs:first_page>1149</bqs:first_page>
    313. 

  313.           <bqs:last_page>1168</bqs:last_page>
    314. 

  314.         </bqs:JournalArticle>
    315. 

  315.       </bqs:reference>
    316. 

  316.     </rdf:Description>
    317. 

  317.   </rdf:RDF>
    318. 

  318.   
    319. 

  319.   <!--
    320. 

  320.     Below, we define some additional units for association with variables and
    321. 

  321.     constants within the model. The identifiers are fairly self-explanatory.
    322. 

  322.   -->
    323. 

  323.   <units name="ms">
    324. 

  324.     <unit prefix="milli" units="second" />
    325. 

  325.   </units>
    326. 

  326.   
    327. 

  327.   <units name="per_ms">
    328. 

  328.     <unit prefix="milli" units="second" exponent="-1" />
    329. 

  329.   </units>
    330. 

  330.   
    331. 

  331.   <units name="per_mm">
    332. 

  332.     <unit prefix="milli" units="metre" exponent="-1" />
    333. 

  333.   </units>
    334. 

  334.   
    335. 

  335.   <units name="mV">
    336. 

  336.     <unit prefix="milli" units="volt" />
    337. 

  337.   </units>
    338. 

  338. 

  339.   <units name="per_mV">
    340. 

  340.     <unit prefix="milli" units="volt" exponent="-1" />
    341. 

  341.   </units>
    342. 

  342.   
    343. 

  343.   <units name="per_mV_ms">
    344. 

  344.     <unit units="mV" exponent="-1" />
    345. 

  345.     <unit units="ms" exponent="-1" />
    346. 

  346.   </units>
    347. 

  347.   
    348. 

  348.   <units name="mS_per_mm2">
    349. 

  349.     <unit prefix="milli" units="siemens" />
    350. 

  350.     <unit prefix="milli" units="metre" exponent="-2" />
    351. 

  351.   </units>
    352. 

  352.   
    353. 

  353.   <units name="mm2">
    354. 

  354.     <unit prefix="milli" units="metre" exponent="2" />
    355. 

  355.   </units>
    356. 

  356.   
    357. 

  357.   <units name="mM">
    358. 

  358.     <unit prefix="nano" units="mole" />
    359. 

  359.     <unit prefix="milli" units="metre" exponent="-3" />
    360. 

  360.   </units>
    361. 

  361.   
    362. 

  362.   <units name="mM_per_ms">
    363. 

  363.     <unit units="mM" />
    364. 

  364.     <unit units="ms" exponent="-1" />
    365. 

  365.   </units>
    366. 

  366.   
    367. 

  367.   <units name="per_mM_per_ms">
    368. 

  368.     <unit units="mM" exponent="-1" />
    369. 

  369.     <unit units="ms" exponent="-1" />
    370. 

  370.   </units>
    371. 

  371.   
    372. 

  372.   <units name="per_mM3_per_ms">
    373. 

  373.     <unit units="mM" exponent="-3" />
    374. 

  374.     <unit units="ms" exponent="-1" />
    375. 

  375.   </units>
    376. 

  376.   
    377. 

  377.   <units name="per_mM4_per_ms">
    378. 

  378.     <unit units="mM" exponent="-4" />
    379. 

  379.     <unit units="ms" exponent="-1" />
    380. 

  380.   </units>
    381. 

  381.     
    382. 

  382.   <units name="uF_per_mm2">
    383. 

  383.     <unit prefix="micro" units="farad" />
    384. 

  384.     <unit prefix="milli" units="metre" exponent="-2" />
    385. 

  385.   </units>
    386. 

  386. 

  387.   <units name="uA_per_mm2">
    388. 

  388.     <unit prefix="micro" units="ampere" />
    389. 

  389.     <unit prefix="milli" units="metre" exponent="-2" />
    390. 

  390.   </units>
    391. 

  391.     
    392. 

  392.   <units name="mm_per_ms">
    393. 

  393.     <unit prefix="milli" units="metre" />
    394. 

  394.     <unit units="ms" exponent="-1" />
    395. 

  395.   </units>
    396. 

  396.   
    397. 

  397.   <units name="gas_constant_units">
    398. 

  398.     <unit prefix="pico" units="joule" />
    399. 

  399.     <unit prefix="nano" units="mole" exponent="-1" />
    400. 

  400.     <unit units="kelvin" exponent="-1" />
    401. 

  401.   </units>
    402. 

  402.   
    403. 

  403.   <units name="faradays_constant_units">
    404. 

  404.     <unit prefix="nano" units="coulomb" />
    405. 

  405.     <unit prefix="nano" units="mole" exponent="-1" />
    406. 

  406.   </units>
    407. 

  407.   
    408. 

  408.   
    409. 

  409.   <!--
    410. 

  410.     The "environment" component is used to declare variables that are used by
    411. 

  411.     all or most of the other components, in this case just "time".
    412. 

  412.   -->
    413. 

  413.   <component name="environment">
    414. 

  414.     <variable name="time" public_interface="out" units="ms" />
    415. 

  415.   </component>
    416. 

  416. 

  417. 

  418.   <!--
    419. 

  419.     The "membrane" component is really the `root' node of our model.
    420. 

  420.     It defines the action potential variable "V" among other things.
    421. 

  421.   -->
    422. 

  422.   <component name="membrane" cmeta:id="membrane">
    423. 

  423.     <rdf:RDF
    424. 

  424.       xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    425. 

  425.       xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
    426. 

  426.       <rdf:Description rdf:about="#membrane">
    427. 

  427.         <cmeta:comment rdf:parseType="Resource">
    428. 

  428.           <rdf:value>
    429. 

  429.             The main component of the model which defines the action potential.
    430. 

  430.           </rdf:value>
    431. 

  431.         </cmeta:comment>
    432. 

  432.       </rdf:Description>
    433. 

  433.     </rdf:RDF>
    434. 

    435. 

  435.     <!-- These variables are defined here and used in other components. -->
    436. 

  436.     <variable
    437. 

  437.         name="V" public_interface="out"
    438. 

  438.         initial_value="-84.1638" units="mV" />
    439. 

  439.     <variable
    440. 

  440.         name="R" public_interface="out"
    441. 

  441.         initial_value="8.3145e3" units="gas_constant_units" />
    442. 

  442.     <variable
    443. 

  443.         name="T" public_interface="out"
    444. 

  444.         initial_value="310.0" units="kelvin" />
    445. 

  445.     <variable
    446. 

  446.         name="F" public_interface="out"
    447. 

  447.         initial_value="9.6845e4" units="faradays_constant_units" />
    448. 

  448.          
    449. 

  449.     <!-- These variables are imported from other components. -->
    450. 

  450.     <variable name="time" public_interface="in" units="ms" />
    451. 

  451.     <variable name="i_Na" public_interface="in" units="uA_per_mm2" />
    452. 

  452.     <variable name="i_Ca_L_Ca" public_interface="in" units="uA_per_mm2" />
    453. 

  453.     <variable name="i_Ca_L_K" public_interface="in" units="uA_per_mm2" />
    454. 

  454.     <variable name="i_K" public_interface="in" units="uA_per_mm2" />
    455. 

  455.     <variable name="i_K1" public_interface="in" units="uA_per_mm2" />
    456. 

  456.     <variable name="i_NaCa" public_interface="in" units="uA_per_mm2" />
    457. 

  457.     <variable name="i_Kp" public_interface="in" units="uA_per_mm2" />
    458. 

  458.     <variable name="i_p_Ca" public_interface="in" units="uA_per_mm2" />
    459. 

  459.     <variable name="i_Na_b" public_interface="in" units="uA_per_mm2" />
    460. 

  460.     <variable name="i_Ca_b" public_interface="in" units="uA_per_mm2" />
    461. 

  461.     <variable name="i_NaK" public_interface="in" units="uA_per_mm2" />
    462. 

  462.     <variable name="i_ns_Ca" public_interface="in" units="uA_per_mm2" />
    463. 

  463.     
    464. 

  464.     <!-- These variables is defined here and only used internally. -->
    465. 

  465.     <variable name="Cm" initial_value="0.01" units="uF_per_mm2" />
    466. 

  466.     <variable name="I_stim" units="uA_per_mm2" />
    467. 

  467.     
    468. 

  468.     <rdf:RDF
    469. 

  469.       xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    470. 

  470.       xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
    471. 

  471.       <rdf:Description rdf:about="#membrane_voltage_diff_eq">
    472. 

  472.         <cmeta:comment rdf:parseType="Resource">
    473. 

  473.           <rdf:value>
    474. 

  474.             The kinetics of the transmembrane potential, defined as the sum of
    475. 

  475.             all the sarcolemmal currents and an applied stimulus current.
    476. 

  476.           </rdf:value>
    477. 

  477.         </cmeta:comment>
    478. 

  478.       </rdf:Description>
    479. 

  479.     </rdf:RDF>
    480. 

  480.     <math xmlns="http://www.w3.org/1998/Math/MathML"
    481. 

  481.       cmeta:id="membrane_voltage_diff_eq">
    482. 

  482.       <apply id="membrane_voltage_diff_eq"><eq />
    483. 

  483.         <apply><diff />
    484. 

  484.           <bvar><ci> time </ci></bvar>
    485. 

  485.           <ci> V </ci>
    486. 

  486.         </apply>
    487. 

  487.         <apply><divide />
    488. 

  488.           <apply><minus />
    489. 

  489.             <ci>I_stim</ci>
    490. 

  490.             <apply><plus />
    491. 

  491.               <ci> i_Na </ci>
    492. 

  492.               <ci> i_Ca_L_Ca </ci>
    493. 

  493.               <ci> i_Ca_L_K </ci>
    494. 

  494.               <ci> i_K </ci>
    495. 

  495.               <ci> i_NaCa </ci>
    496. 

  496.               <ci> i_K1 </ci>
    497. 

  497.               <ci> i_Kp </ci>
    498. 

  498.               <ci> i_p_Ca </ci>
    499. 

  499.               <ci> i_Na_b </ci>
    500. 

  500.               <ci> i_Ca_b </ci>
    501. 

  501.               <ci> i_NaK </ci>
    502. 

  502.               <ci> i_ns_Ca </ci>
    503. 

  503.             </apply>
    504. 

  504.           </apply>
    505. 

  505.           <ci> Cm </ci>
    506. 

  506.         </apply>
    507. 

  507.       </apply>
    508. 

  508.     </math>
    509. 

  509.     <rdf:RDF
    510. 

  510.       xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    511. 

  511.       xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
    512. 

  512.       <rdf:Description rdf:about="#IStim_for_cmiss_eq">
    513. 

  513.         <cmeta:comment rdf:parseType="Resource">
    514. 

  514.           <rdf:value>
    515. 

  515.             This is a dummy equation that we simply use to make grabbing the
    516. 

  516.             value in CMISS much easier.
    517. 

  517.           </rdf:value>
    518. 

  518.         </cmeta:comment>
    519. 

  519.       </rdf:Description>
    520. 

  520.     </rdf:RDF>
    521. 

  521.     <variable name="IStimC" units="uA_per_mm2" public_interface="out"/>
    522. 

  522.     <math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="IStim_for_cmiss_eq">
    523. 

  523.       <apply id="IStim_for_cmiss"><eq/>
    524. 

  524.         <ci>IStimC</ci>
    525. 

  525.         <ci>I_stim</ci>
    526. 

  526.       </apply>
    527. 

  527.     </math>
    528. 

  528.   </component>
    529. 

  529.   
    530. 

  530.   <component name="fast_sodium_current" cmeta:id="fast_sodium_current">
    531. 

  531.     <rdf:RDF
    532. 

  532.       xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    533. 

  533.       xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
    534. 

  534.       <rdf:Description rdf:about="#fast_sodium_current">
    535. 

  535.         <cmeta:comment rdf:parseType="Resource">
    536. 

  536.           <rdf:value>
    537. 

  537.             The fast sodium current component contains the differential
    538. 

  538.             equations governing the influx of sodium ions through the cell
    539. 

  539.             surface membrane into the cell.
    540. 

  540.           </rdf:value>
    541. 

  541.         </cmeta:comment>
    542. 

  542.       </rdf:Description>
    543. 

  543.     </rdf:RDF>
    544. 

    545. 

  545.     <!-- These variables are defined here and used in other components. -->
    546. 

  546.     <variable name="i_Na" public_interface="out" units="uA_per_mm2" />
    547. 

  547.     <variable name="E_Na" public_interface="out" units="mV" />
    548. 

  548.     
    549. 

  549.     <!-- This variable is defined here and only used internally. -->
    550. 

  550.     <variable name="g_Na" initial_value="0.128" units="mS_per_mm2" />
    551. 

  551.     
    552. 

  552.     <!-- 
    553. 

  553.       Time is imported from the environment, and membrane potential is          
    554. 

  554.       imported from the membrane component.  These variables are used in the    
    555. 

  555.       "sodium_current" parent component, which also acts as an interface,       
    556. 

  556.       passing the variables to its encapsulated gate components. 
    557. 

  557.     -->
    558. 

  558.     <variable
    559. 

  559.         name="time" public_interface="in"
    560. 

  560.         private_interface="out" units="ms" />
    561. 

  561.     <variable
    562. 

  562.         name="V" public_interface="in"
    563. 

  563.         private_interface="out" units="mV" />
    564. 

  564.     <variable name="R" public_interface="in" units="gas_constant_units" />
    565. 

  565.     <variable name="T" public_interface="in" units="kelvin" />
    566. 

  566.     <variable name="F" public_interface="in" units="faradays_constant_units" />
    567. 

  567.     <variable name="Nai" public_interface="in" units="mM" />
    568. 

  568.     <variable name="Nao" public_interface="in" units="mM" />
    569. 

  569.     
    570. 

  570.     <!-- These variables are imported from encapsulated components. -->
    571. 

  571.     <variable name="m" private_interface="in" units="dimensionless" />
    572. 

  572.     <variable name="h" private_interface="in" units="dimensionless" />
    573. 

  573.     <variable name="j" private_interface="in" units="dimensionless" />
    574. 

  574.     
    575. 

  575.     <rdf:RDF
    576. 

  576.       xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    577. 

  577.       xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
    578. 

  578.       <rdf:Description rdf:about="#i_Na_calculation_eq">
    579. 

  579.         <cmeta:comment rdf:parseType="Resource">
    580. 

  580.           <rdf:value>
    581. 

  581.             Calculation of the fast sodium current using the three
    582. 

  582.             Hodkin-Huxley type voltage-dependent gating variables m, h, and j.
    583. 

  583.           </rdf:value>
    584. 

  584.         </cmeta:comment>
    585. 

  585.       </rdf:Description>
    586. 

  586.     </rdf:RDF>
    587. 

  587.     <math xmlns="http://www.w3.org/1998/Math/MathML"
    588. 

  588.       cmeta:id="i_Na_calculation_eq">
    589. 

  589.       <apply id="i_Na_calculation"><eq />
    590. 

  590.         <ci> i_Na </ci>
    591. 

  591.         <apply><times />
    592. 

  592.           <ci> g_Na </ci>
    593. 

  593.           <apply><power />
    594. 

  594.             <ci> m </ci>
    595. 

  595.             <cn cellml:units="dimensionless"> 3.0 </cn>
    596. 

  596.           </apply>
    597. 

  597.           <ci> h </ci>
    598. 

  598.           <ci> j </ci>
    599. 

  599.           <apply><minus />
    600. 

  600.             <ci> V </ci>
    601. 

  601.             <ci> E_Na </ci>
    602. 

  602.           </apply>
    603. 

  603.         </apply>
    604. 

  604.       </apply>
    605. 

  605.     </math>
    606. 

  606.       
    607. 

  607.     <rdf:RDF
    608. 

  608.       xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    609. 

  609.       xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
    610. 

  610.       <rdf:Description rdf:about="#E_Na_calculation_eq">
    611. 

  611.         <cmeta:comment rdf:parseType="Resource">
    612. 

  612.           <rdf:value>
    613. 

  613.             The sodium reversal potential.
    614. 

  614.           </rdf:value>
    615. 

  615.         </cmeta:comment>
    616. 

  616.       </rdf:Description>
    617. 

  617.     </rdf:RDF>
    618. 

  618.     <math xmlns="http://www.w3.org/1998/Math/MathML"
    619. 

  619.       cmeta:id="E_Na_calculation_eq">
    620. 

  620.       <apply id="E_Na_calculation"><eq />
    621. 

  621.         <ci> E_Na </ci>
    622. 

  622.         <apply><times />
    623. 

  623.           <apply><divide />
    624. 

  624.             <apply><times />
    625. 

  625.               <ci> R </ci>
    626. 

  626.               <ci> T </ci>
    627. 

  627.             </apply>
    628. 

  628.             <ci> F </ci>
    629. 

  629.           </apply>
    630. 

  630.           <apply><ln />
    631. 

  631.             <apply><divide />
    632. 

  632.               <ci> Nao </ci>
    633. 

  633.               <ci> Nai </ci>
    634. 

  634.             </apply>
    635. 

  635.           </apply>
    636. 

  636.         </apply>
    637. 

  637.       </apply>
    638. 

  638.     </math>
    639. 

  639.   </component>
    640. 

  640.      
    641. 

  641.   <!--
    642. 

  642.     The "fast_sodium_current_m_gate" is the m gate encapsulated inside the fast 
    643. 

  643.     sodium current. 
    644. 

  644.   -->
    645. 

  645.   <component name="fast_sodium_current_m_gate"
    646. 

  646.     cmeta:id="fast_sodium_current_m_gate">
    647. 

  647.     <rdf:RDF
    648. 

  648.       xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    649. 

  649.       xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
    650. 

  650.       <rdf:Description rdf:about="#fast_sodium_current_m_gate">
    651. 

  651.         <cmeta:comment rdf:parseType="Resource">
    652. 

  652.           <rdf:value>
    653. 

  653.             The voltage-dependent activation gate for the fast sodium current -
    654. 

  654.             the m gate.
    655. 

  655.           </rdf:value>
    656. 

  656.         </cmeta:comment>
    657. 

  657.       </rdf:Description>
    658. 

  658.     </rdf:RDF>
    659. 

  659.     
    660. 

  660.     <!-- This variable is defined here and used in other components. -->
    661. 

  661.     <variable
    662. 

  662.         name="m" public_interface="out"
    663. 

  663.         initial_value="0.0328302" units="dimensionless" />
    664. 

  664.         
    665. 

  665.     <!-- These variables are defined here and only used internally. -->
    666. 

  666.     <variable name="alpha_m" units="per_ms" />
    667. 

  667.     <variable name="beta_m" units="per_ms" />
    668. 

    669. 

  669.     <!-- 
    670. 

  670.       These variables are imported from the environment and the membrane via    
    671. 

  671.       the "fast_sodium_current" component.
    672. 

  672.     -->
    673. 

  673.     <variable name="V" public_interface="in" units="mV" />
    674. 

  674.     <variable name="time" public_interface="in" units="ms" />
    675. 

  675.    
    676. 

  676.     <rdf:RDF
    677. 

  677.       xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    678. 

  678.       xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
    679. 

  679.       <rdf:Description rdf:about="#alpha_m_calculation_eq">
    680. 

  680.         <cmeta:comment rdf:parseType="Resource">
    681. 

  681.           <rdf:value>
    682. 

  682.             The opening rate of the m gate.
    683. 

  683.           </rdf:value>
    684. 

  684.         </cmeta:comment>
    685. 

  685.       </rdf:Description>
    686. 

  686.     </rdf:RDF>
    687. 

  687.     <math xmlns="http://www.w3.org/1998/Math/MathML"
    688. 

  688.       cmeta:id="alpha_m_calculation_eq">
    689. 

  689.       <apply id="alpha_m_calculation"><eq />
    690. 

  690.         <ci> alpha_m </ci>
    691. 

  691.         <apply><divide />
    692. 

  692.           <apply><times />
    693. 

  693.             <cn cellml:units="per_mV_ms"> 0.32 </cn>
    694. 

  694.             <apply><plus />
    695. 

  695.               <ci> V </ci>
    696. 

  696.               <cn cellml:units="mV"> 47.13 </cn>
    697. 

  697.             </apply>
    698. 

  698.           </apply>
    699. 

  699.           <apply><minus />
    700. 

  700.             <cn cellml:units="dimensionless"> 1.0 </cn>
    701. 

  701.             <apply><exp />
    702. 

  702.               <apply><times />
    703. 

  703.                 <cn cellml:units="per_mV"> -0.1 </cn>
    704. 

  704.                 <apply><plus />
    705. 

  705.                   <ci> V </ci>
    706. 

  706.                   <cn cellml:units="mV"> 47.13 </cn>
    707. 

  707.                 </apply>
    708. 

  708.               </apply>
    709. 

  709.             </apply>
    710. 

  710.           </apply>
    711. 

  711.         </apply>
    712. 

  712.       </apply>
    713. 

  713.     </math>
    714. 

  714.       
    715. 

  715.     <rdf:RDF
    716. 

  716.       xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    717. 

  717.       xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
    718. 

  718.       <rdf:Description rdf:about="#beta_m_calculation_eq">
    719. 

  719.         <cmeta:comment rdf:parseType="Resource">
    720. 

  720.           <rdf:value>
    721. 

  721.             The closing rate of the m gate.
    722. 

  722.           </rdf:value>
    723. 

  723.         </cmeta:comment>
    724. 

  724.       </rdf:Description>
    725. 

  725.     </rdf:RDF>
    726. 

  726.     <math xmlns="http://www.w3.org/1998/Math/MathML"
    727. 

  727.       cmeta:id="beta_m_calculation_eq">
    728. 

  728.       <apply id="beta_m_calculation"><eq />
    729. 

  729.         <ci> beta_m </ci>
    730. 

  730.         <apply><times />
    731. 

  731.           <cn cellml:units="per_ms"> 0.08 </cn>
    732. 

  732.           <apply><exp />
    733. 

  733.             <apply><divide />
    734. 

  734.               <apply><minus />
    735. 

  735.                 <ci> V </ci>
    736. 

  736.               </apply>
    737. 

  737.               <cn cellml:units="mV"> 11.0 </cn>
    738. 

  738.             </apply>
    739. 

  739.           </apply>
    740. 

  740.         </apply>
    741. 

  741.       </apply>
    742. 

  742.     </math>
    743. 

  743.       
    744. 

  744.     <rdf:RDF
    745. 

  745.       xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    746. 

  746.       xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
    747. 

  747.       <rdf:Description rdf:about="#dm_dt_eq">
    748. 

  748.         <cmeta:comment rdf:parseType="Resource">
    749. 

  749.           <rdf:value>
    750. 

  750.             The kinetics of the m gate.
    751. 

  751.           </rdf:value>
    752. 

  752.         </cmeta:comment>
    753. 

  753.       </rdf:Description>
    754. 

  754.     </rdf:RDF>
    755. 

  755.     <math xmlns="http://www.w3.org/1998/Math/MathML"
    756. 

  756.       cmeta:id="dm_dt_eq">
    757. 

  757.       <apply id="dm_dt"><eq />
    758. 

  758.         <apply><diff />
    759. 

  759.           <bvar><ci> time </ci></bvar>
    760. 

  760.           <ci> m </ci>
    761. 

  761.         </apply>
    762. 

  762.         <apply><minus />
    763. 

  763.           <apply><times />
    764. 

  764.             <ci> alpha_m </ci>
    765. 

  765.             <apply><minus />
    766. 

  766.               <cn cellml:units="per_mV"> 1.0 </cn>
    767. 

  767.               <ci> m </ci>
    768. 

  768.             </apply>
    769. 

  769.           </apply>
    770. 

  770.           <apply><times />
    771. 

  771.             <ci> beta_m </ci>
    772. 

  772.             <ci> m </ci>
    773. 

  773.           </apply>
    774. 

  774.         </apply>
    775. 

  775.       </apply>
    776. 

  776.     </math>
    777. 

  777.   </component>
    778. 

  778.   
    779. 

  779.   <!--
    780. 

  780.     The "fast_sodium_current_h_gate" component is the h gate encapsulated in
    781. 

  781.     the fast sodium current.
    782. 

  782.   -->
    783. 

  783.   <component name="fast_sodium_current_h_gate"
    784. 

  784.     cmeta:id="fast_sodium_current_h_gate">
    785. 

  785.     <rdf:RDF
    786. 

  786.       xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    787. 

  787.       xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
    788. 

  788.       <rdf:Description rdf:about="#fast_sodium_current_h_gate">
    789. 

  789.         <cmeta:comment rdf:parseType="Resource">
    790. 

  790.           <rdf:value>
    791. 

  791.             The voltage-dependent inactivation gate for the fast sodium current
    792. 

  792.             - the h gate.
    793. 

  793.           </rdf:value>
    794. 

  794.         </cmeta:comment>
    795. 

  795.       </rdf:Description>
    796. 

  796.     </rdf:RDF>
    797. 

    798. 

  798.     <!-- This variable is defined here and used in other components. -->
    799. 

  799.     <variable
    800. 

  800.         name="h" public_interface="out"
    801. 

  801.         initial_value="0.988354" units="dimensionless" />
    802. 

  802.         
    803. 

  803.     <!-- These variables are defined here and only used internally. -->
    804. 

  804.     <variable name="alpha_h" units="per_ms" />
    805. 

  805.     <variable name="beta_h" units="per_ms" />
    806. 

    807. 

  807.     <!-- 
    808. 

  808.       These variables are imported from the environment and the membrane via    
    809. 

  809.       the "fast_sodium_current" component.  
    810. 

  810.     -->
    811. 

  811.     <variable name="V" public_interface="in" units="mV" />
    812. 

  812.     <variable name="time" public_interface="in" units="ms" />
    813. 

  813.     
    814. 

  814.     <rdf:RDF
    815. 

  815.       xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    816. 

  816.       xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
    817. 

  817.       <rdf:Description rdf:about="#alpha_h_calculation_eq">
    818. 

  818.         <cmeta:comment rdf:parseType="Resource">
    819. 

  819.           <rdf:value>
    820. 

  820.             The opening rate of the h gate.
    821. 

  821.           </rdf:value>
    822. 

  822.         </cmeta:comment>
    823. 

  823.       </rdf:Description>
    824. 

  824.     </rdf:RDF>
    825. 

  825.     <math xmlns="http://www.w3.org/1998/Math/MathML"
    826. 

  826.       cmeta:id="alpha_h_calculation_eq">
    827. 

  827.       <apply id="alpha_h_calculation"><eq />
    828. 

  828.         <ci> alpha_h </ci>
    829. 

  829.         <piecewise>
    830. 

  830.           <piece>
    831. 

  831.             <apply><times />
    832. 

  832.               <cn cellml:units="per_ms"> 0.135 </cn>
    833. 

  833.               <apply><exp />
    834. 

  834.                 <apply><divide />
    835. 

  835.                   <apply><plus />
    836. 

  836.                     <cn cellml:units="mV"> 80.0 </cn>
    837. 

  837.                     <ci> V </ci>
    838. 

  838.                   </apply>
    839. 

  839.                   <cn cellml:units="mV"> -6.8 </cn>
    840. 

  840.                 </apply>
    841. 

  841.               </apply>
    842. 

  842.             </apply>
    843. 

  843.             <apply><lt />
    844. 

  844.               <ci> V </ci> 
    845. 

  845.               <cn cellml:units="mV"> -40.0 </cn>
    846. 

  846.             </apply>
    847. 

  847.           </piece>
    848. 

  848.           <otherwise>
    849. 

  849.             <cn cellml:units="per_ms"> 0.0 </cn>
    850. 

  850.           </otherwise>
    851. 

  851.         </piecewise>
    852. 

  852.       </apply>
    853. 

  853.     </math>
    854. 

  854.        
    855. 

  855.     <rdf:RDF
    856. 

  856.       xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    857. 

  857.       xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
    858. 

  858.       <rdf:Description rdf:about="#beta_h_calculation_eq">
    859. 

  859.         <cmeta:comment rdf:parseType="Resource">
    860. 

  860.           <rdf:value>
    861. 

  861.             The closing rate of the h gate.
    862. 

  862.           </rdf:value>
    863. 

  863.         </cmeta:comment>
    864. 

  864.       </rdf:Description>
    865. 

  865.     </rdf:RDF>
    866. 

  866.     <math xmlns="http://www.w3.org/1998/Math/MathML"
    867. 

  867.       cmeta:id="beta_h_calculation_eq">
    868. 

  868.       <apply id="beta_h_calculation"><eq />
    869. 

  869.         <ci> beta_h </ci>
    870. 

  870.         <piecewise>
    871. 

  871.           <piece>
    872. 

  872.             <apply><plus />
    873. 

  873.               <apply><times />
    874. 

  874.                 <cn cellml:units="per_ms"> 3.56 </cn>
    875. 

  875.                 <apply><exp />
    876. 

  876.                   <apply><times />
    877. 

  877.                     <cn cellml:units="mV"> 0.079 </cn>
    878. 

  878.                     <ci> V </ci>
    879. 

  879.                   </apply>
    880. 

  880.                 </apply>
    881. 

  881.               </apply>
    882. 

  882.               <apply><times />
    883. 

  883.                 <cn cellml:units="per_ms"> 310000.0 </cn>
    884. 

  884.                 <apply><exp />
    885. 

  885.                   <apply><times />
    886. 

  886.                     <cn cellml:units="per_mV"> 0.35 </cn>
    887. 

  887.                     <ci> V </ci>
    888. 

  888.                   </apply>
    889. 

  889.                 </apply>
    890. 

  890.               </apply>
    891. 

  891.             </apply>
    892. 

  892.             <apply><lt />
    893. 

  893.               <ci> V </ci>
    894. 

  894.               <cn cellml:units="mV"> -40.0 </cn>
    895. 

  895.             </apply>
    896. 

  896.           </piece>
    897. 

  897.           <otherwise>
    898. 

  898.             <apply><divide />
    899. 

  899.               <cn cellml:units="dimensionless"> 1.0 </cn>
    900. 

  900.               <apply><times />
    901. 

  901.                 <cn cellml:units="ms"> 0.13 </cn>
    902. 

  902.                 <apply><plus />
    903. 

  903.                   <cn cellml:units="dimensionless"> 1.0 </cn>
    904. 

  904.                   <apply><exp />
    905. 

  905.                     <apply><divide />
    906. 

  906.                       <apply><plus />
    907. 

  907.                         <ci> V </ci>
    908. 

  908.                         <cn cellml:units="mV"> 10.66 </cn>
    909. 

  909.                       </apply>
    910. 

  910.                       <cn cellml:units="mV"> -11.1 </cn>
    911. 

  911.                     </apply>
    912. 

  912.                   </apply>
    913. 

  913.                 </apply>
    914. 

  914.               </apply>
    915. 

  915.             </apply>
    916. 

  916.           </otherwise>
    917. 

  917.         </piecewise>
    918. 

  918.       </apply>
    919. 

  919.     </math>
    920. 

  920.        
    921. 

  921.     <rdf:RDF
    922. 

  922.       xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    923. 

  923.       xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
    924. 

  924.       <rdf:Description rdf:about="#dh_dt_eq">
    925. 

  925.         <cmeta:comment rdf:parseType="Resource">
    926. 

  926.           <rdf:value>
    927. 

  927.             The kinetics of the h gate.
    928. 

  928.           </rdf:value>
    929. 

  929.         </cmeta:comment>
    930. 

  930.       </rdf:Description>
    931. 

  931.     </rdf:RDF>
    932. 

  932.     <math xmlns="http://www.w3.org/1998/Math/MathML"
    933. 

  933.       cmeta:id="dh_dt_eq">
    934. 

  934.       <apply id="dh_dt"><eq />
    935. 

  935.         <apply><diff />
    936. 

  936.           <bvar><ci> time </ci></bvar>
    937. 

  937.           <ci> h </ci>
    938. 

  938.         </apply>
    939. 

  939.         <apply><minus />
    940. 

  940.           <apply><times />
    941. 

  941.             <ci> alpha_h </ci>
    942. 

  942.             <apply><minus />
    943. 

  943.               <cn cellml:units="dimensionless"> 1.0 </cn>
    944. 

  944.               <ci> h </ci>
    945. 

  945.             </apply>
    946. 

  946.           </apply>
    947. 

  947.           <apply><times />
    948. 

  948.             <ci> beta_h </ci>
    949. 

  949.             <ci> h </ci>
    950. 

  950.           </apply>
    951. 

  951.         </apply>
    952. 

  952.       </apply>
    953. 

  953.     </math>
    954. 

  954.   </component>
    955. 

  955.   
    956. 

  956.   <!--
    957. 

  957.     The "fast_sodium_current_j_gate" component is the j gate encapsulated in
    958. 

  958.     the fast sodium current.
    959. 

  959.   -->
    960. 

  960.   <component name="fast_sodium_current_j_gate"
    961. 

  961.     cmeta:id="fast_sodium_current_j_gate">
    962. 

  962.     <rdf:RDF
    963. 

  963.       xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    964. 

  964.       xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
    965. 

  965.       <rdf:Description rdf:about="#fast_sodium_current_j_gate">
    966. 

  966.         <cmeta:comment rdf:parseType="Resource">
    967. 

  967.           <rdf:value>
    968. 

  968.             The voltage-dependent slow inactivation gate for the fast sodium
    969. 

  969.             current - the j gate.
    970. 

  970.           </rdf:value>
    971. 

  971.         </cmeta:comment>
    972. 

  972.       </rdf:Description>
    973. 

  973.     </rdf:RDF>
    974. 

    975. 

  975.     <!-- This variable is defined here and used in other components. -->
    976. 

  976.     <variable
    977. 

  977.         name="j" public_interface="out"
    978. 

  978.         initial_value="0.992540" units="dimensionless" />
    979. 

  979.         
    980. 

  980.     <!-- These variables are defined here and only used internally. -->
    981. 

  981.     <variable name="alpha_j" units="per_ms" />
    982. 

  982.     <variable name="beta_j" units="per_ms" />
    983. 

  983.     
    984. 

  984.     <!-- 
    985. 

  985.       These variables are imported from the environment and the membrane via    
    986. 

  986.       the "fast_sodium_current" component.  
    987. 

  987.     -->
    988. 

  988.     <variable name="V" public_interface="in" units="mV" />
    989. 

  989.     <variable name="time" public_interface="in" units="ms" />
    990. 

  990.     
    991. 

  991.     <rdf:RDF
    992. 

  992.       xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    993. 

  993.       xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
    994. 

  994.       <rdf:Description rdf:about="#alpha_j_calculation_eq">
    995. 

  995.         <cmeta:comment rdf:parseType="Resource">
    996. 

  996.           <rdf:value>
    997. 

  997.             The opening rate of the j gate.
    998. 

  998.           </rdf:value>
    999. 

  999.         </cmeta:comment>
    1000. 

  1000.       </rdf:Description>
    1001. 

  1001.     </rdf:RDF>
    1002. 

  1002.     <math xmlns="http://www.w3.org/1998/Math/MathML"
    1003. 

  1003.       cmeta:id="alpha_j_calculation_eq">
    1004. 

  1004.       <apply id="alpha_j_calculation"><eq />
    1005. 

  1005.         <ci> alpha_j </ci>
    1006. 

  1006.         <piecewise>
    1007. 

  1007.           <piece>
    1008. 

  1008.             <apply><times />
    1009. 

  1009.               <apply><minus />
    1010. 

  1010.                 <apply><times />
    1011. 

  1011.                   <cn cellml:units="per_mV_ms"> -127140.0 </cn>
    1012. 

  1012.                   <apply><exp />
    1013. 

  1013.                     <apply><times /> 
    1014. 

  1014.                       <cn cellml:units="per_mV"> 0.2444 </cn>
    1015. 

  1015.                       <ci> V </ci>
    1016. 

  1016.                     </apply>
    1017. 

  1017.                   </apply>
    1018. 

  1018.                 </apply>
    1019. 

  1019.                 <apply><times />
    1020. 

  1020.                   <cn cellml:units="per_mV_ms"> 0.00003474 </cn>
    1021. 

  1021.                   <apply><exp />
    1022. 

  1022.                     <apply><times />
    1023. 

  1023.                       <cn cellml:units="per_mV"> -0.04391 </cn>
    1024. 

  1024.                       <ci> V </ci>
    1025. 

  1025.                     </apply>
    1026. 

  1026.                   </apply>
    1027. 

  1027.                 </apply>
    1028. 

  1028.               </apply>
    1029. 

  1029.               <apply><divide />
    1030. 

  1030.                 <apply><plus />
    1031. 

  1031.                   <ci> V </ci>
    1032. 

  1032.                   <cn cellml:units="mV"> 37.78 </cn>
    1033. 

  1033.                 </apply>
    1034. 

  1034.                 <apply><plus />
    1035. 

  1035.                   <cn cellml:units="dimensionless"> 1.0 </cn>
    1036. 

  1036.                   <apply><exp />
    1037. 

  1037.                     <apply><times />
    1038. 

  1038.                       <cn cellml:units="per_mV"> 0.311 </cn>
    1039. 

  1039.                       <apply><plus />
    1040. 

  1040.                         <ci> V </ci>
    1041. 

  1041.                         <cn cellml:units="mV"> 79.23 </cn>
    1042. 

  1042.                       </apply>
    1043. 

  1043.                     </apply>
    1044. 

  1044.                   </apply>
    1045. 

  1045.                 </apply>
    1046. 

  1046.               </apply>
    1047. 

  1047.             </apply>
    1048. 

  1048.             <apply><lt />
    1049. 

  1049.               <ci> V </ci>
    1050. 

  1050.               <cn cellml:units="mV"> -40.0 </cn>
    1051. 

  1051.             </apply>
    1052. 

  1052.           </piece>
    1053. 

  1053.           <otherwise>
    1054. 

  1054.             <cn cellml:units="per_ms"> 0.0 </cn>
    1055. 

  1055.           </otherwise>
    1056. 

  1056.         </piecewise>
    1057. 

  1057.       </apply>
    1058. 

  1058.     </math>
    1059. 

  1059.        
    1060. 

  1060.     <rdf:RDF
    1061. 

  1061.       xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    1062. 

  1062.       xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
    1063. 

  1063.       <rdf:Description rdf:about="#beta_j_calculation_eq">
    1064. 

  1064.         <cmeta:comment rdf:parseType="Resource">
    1065. 

  1065.           <rdf:value>
    1066. 

  1066.             The closing rate of the j gate.
    1067. 

  1067.           </rdf:value>
    1068. 

  1068.         </cmeta:comment>
    1069. 

  1069.       </rdf:Description>
    1070. 

  1070.     </rdf:RDF>
    1071. 

  1071.     <math xmlns="http://www.w3.org/1998/Math/MathML"
    1072. 

  1072.       cmeta:id="beta_j_calculation_eq">
    1073. 

  1073.       <apply id="beta_j_calculation"><eq />
    1074. 

  1074.         <ci> beta_j </ci>
    1075. 

  1075.         <piecewise>
    1076. 

  1076.           <piece>
    1077. 

  1077.             <apply><times />
    1078. 

  1078.               <cn cellml:units="per_ms"> 0.1212 </cn>
    1079. 

  1079.               <apply><divide />
    1080. 

  1080.                 <apply><exp />
    1081. 

  1081.                   <apply><times />
    1082. 

  1082.                     <cn cellml:units="per_mV"> -0.01052 </cn>
    1083. 

  1083.                     <ci> V </ci>
    1084. 

  1084.                   </apply>
    1085. 

  1085.                 </apply>
    1086. 

  1086.                 <apply><plus />
    1087. 

  1087.                   <cn cellml:units="dimensionless"> 1.0 </cn>
    1088. 

  1088.                   <apply><exp />
    1089. 

  1089.                     <apply><times />
    1090. 

  1090.                       <cn cellml:units="per_mV"> -0.1378 </cn>
    1091. 

  1091.                       <apply><plus />       
    1092. 

  1092.                         <ci> V </ci>
    1093. 

  1093.                         <cn cellml:units="mV"> 40.14 </cn>
    1094. 

  1094.                       </apply>
    1095. 

  1095.                     </apply>
    1096. 

  1096.                   </apply>
    1097. 

  1097.                 </apply>
    1098. 

  1098.               </apply>
    1099. 

  1099.             </apply>
    1100. 

  1100.             <apply><lt />
    1101. 

  1101.               <ci> V </ci>
    1102. 

  1102.               <cn cellml:units="mV"> -40.0 </cn>
    1103. 

  1103.             </apply>
    1104. 

  1104.           </piece>
    1105. 

  1105.           <otherwise>
    1106. 

  1106.             <apply><times />
    1107. 

  1107.               <cn cellml:units="per_ms"> 0.3 </cn>
    1108. 

  1108.               <apply><divide />
    1109. 

  1109.                 <apply><exp />
    1110. 

  1110.                   <apply><times />
    1111. 

  1111.                     <cn cellml:units="per_mV"> -0.0000002535 </cn>
    1112. 

  1112.                     <ci> V </ci>                                                
    1113. 

  1113.                   </apply>
    1114. 

  1114.                 </apply>
    1115. 

  1115.                 <apply><plus />
    1116. 

  1116.                   <cn cellml:units="dimensionless"> 1.0 </cn>
    1117. 

  1117.                   <apply><exp />
    1118. 

  1118.                     <apply><times />
    1119. 

  1119.                       <cn cellml:units="per_mV"> -0.1 </cn>
    1120. 

  1120.                       <apply><plus />
    1121. 

  1121.                         <ci> V </ci>
    1122. 

  1122.                         <cn cellml:units="mV"> 32.0 </cn>
    1123. 

  1123.                       </apply>
    1124. 

  1124.                     </apply>
    1125. 

  1125.                   </apply>
    1126. 

  1126.                 </apply>
    1127. 

  1127.               </apply>
    1128. 

  1128.             </apply>                                                            
    1129. 

  1129.           </otherwise> 
    1130. 

  1130.         </piecewise>
    1131. 

  1131.       </apply>
    1132. 

  1132.     </math>
    1133. 

  1133.        
    1134. 

  1134.     <rdf:RDF
    1135. 

  1135.       xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    1136. 

  1136.       xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
    1137. 

  1137.       <rdf:Description rdf:about="#dj_dt_eq">
    1138. 

  1138.         <cmeta:comment rdf:parseType="Resource">
    1139. 

  1139.           <rdf:value>
    1140. 

  1140.             The kinetics of the j gate.
    1141. 

  1141.           </rdf:value>
    1142. 

  1142.         </cmeta:comment>
    1143. 

  1143.       </rdf:Description>
    1144. 

  1144.     </rdf:RDF>
    1145. 

  1145.     <math xmlns="http://www.w3.org/1998/Math/MathML"
    1146. 

  1146.       cmeta:id="dj_dt_eq">
    1147. 

  1147.       <apply id="dj_dt"><eq />
    1148. 

  1148.         <apply><diff />
    1149. 

  1149.           <bvar><ci> time </ci></bvar>
    1150. 

  1150.           <ci> j </ci>
    1151. 

  1151.         </apply>
    1152. 

  1152.         <apply><minus />
    1153. 

  1153.           <apply><times />
    1154. 

  1154.             <ci> alpha_j </ci>
    1155. 

  1155.             <apply><minus />
    1156. 

  1156.               <cn cellml:units="dimensionless"> 1.0 </cn>
    1157. 

  1157.               <ci> j </ci>
    1158. 

  1158.             </apply>
    1159. 

  1159.           </apply>
    1160. 

  1160.           <apply><times />
    1161. 

  1161.             <ci> beta_j </ci>
    1162. 

  1162.             <ci> j </ci>
    1163. 

  1163.           </apply>
    1164. 

  1164.         </apply>
    1165. 

  1165.       </apply>
    1166. 

  1166.     </math>
    1167. 

  1167.   </component>
    1168. 

  1168.   
    1169. 

  1169.   
    1170. 

  1170.   <component name="L_type_Ca_channel" cmeta:id="L_type_Ca_channel">
    1171. 

  1171.     <rdf:RDF
    1172. 

  1172.       xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    1173. 

  1173.       xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
    1174. 

  1174.       <rdf:Description rdf:about="#L_type_Ca_channel">
    1175. 

  1175.         <cmeta:comment rdf:parseType="Resource">
    1176. 

  1176.           <rdf:value>
    1177. 

  1177.             The JWR model creates a new mathematical model to describe the
    1178. 

  1178.             L-type calcium channel that is based on the experimentally observed
    1179. 

  1179.             mode-switching behaviour of the channel. Inactivation occurs as
    1180. 

  1180.             calcium ion binding induces the channel to switch (from mode normal)
    1181. 

  1181.             to a mode in which transitions to open states are extremely slow
    1182. 

  1182.             (mode Ca). The channel has one voltage inactivation gate, y. As well
    1183. 

  1183.             as Ca, the channel is assumed permeable to K ions also.
    1184. 

  1184.           </rdf:value>
    1185. 

  1185.         </cmeta:comment>
    1186. 

  1186.       </rdf:Description>
    1187. 

  1187.     </rdf:RDF>
    1188. 

    1189. 

  1189.     <!-- These variables are defined here and used in other components. -->
    1190. 

  1190.     <variable name="i_Ca_L_Ca" public_interface="out" units="uA_per_mm2" />
    1191. 

  1191.     <variable name="i_Ca_L_K" public_interface="out" units="uA_per_mm2" />
    1192. 

  1192.     
    1193. 

  1193.     <!-- These variables are defined here and only used internally. -->
    1194. 

  1194.     <variable name="P_Ca" initial_value="33.75e-6" units="mm_per_ms" />
    1195. 

  1195.     <variable name="P_K" initial_value="1.0e-9" units="mm_per_ms" />
    1196. 

  1196.     <variable name="p_k" units="mm_per_ms" />
    1197. 

  1197.     <variable name="i_Ca_L_Ca_half" initial_value="-4.58e-3" units="uA_per_mm2" />
    1198. 

  1198.     <variable name="i_Ca_L_Ca_max" units="uA_per_mm2" />
    1199. 

  1199.     <variable name="O" initial_value="9.84546e-21" units="dimensionless" />
    1200. 

  1200.     <variable name="O_Ca" initial_value="0.0" units="dimensionless" />
    1201. 

  1201.     <variable name="alpha" units="per_ms" />
    1202. 

  1202.     <variable name="beta" units="per_ms" />
    1203. 

  1203.     <variable name="gamma" units="per_ms" />
    1204. 

  1204.     <variable name="alpha_a" units="per_ms" />
    1205. 

  1205.     <variable name="beta_b" units="per_ms" />
    1206. 

  1206.     <variable name="a" initial_value="2.0" units="dimensionless" />
    1207. 

  1207.     <variable name="b" initial_value="2.0" units="dimensionless" />
    1208. 

  1208.     <variable name="g" initial_value="2.0" units="per_ms" />
    1209. 

  1209.     <variable name="f" initial_value="0.3" units="per_ms" />
    1210. 

  1210.     <variable name="g_" initial_value="0.0" units="per_ms" />
    1211. 

  1211.     <variable name="f_" initial_value="0.0" units="per_ms" />
    1212. 

  1212.     <variable name="omega" initial_value="0.01" units="per_ms" />
    1213. 

  1213.     <variable name="C0" initial_value="0.997208" units="dimensionless" />
    1214. 

  1214.     <variable name="C1" initial_value="6.38897e-5" units="dimensionless" />
    1215. 

  1215.     <variable name="C2" initial_value="1.535e-9" units="dimensionless" />
    1216. 

  1216.     <variable name="C3" initial_value="1.63909e-14" units="dimensionless" />
    1217. 

  1217.     <variable name="C4" initial_value="6.56337e-20" units="dimensionless" />
    1218. 

  1218.     <variable name="C_Ca0" initial_value="2.72826e-3" units="dimensionless" />
    1219. 

  1219.     <variable name="C_Ca1" initial_value="6.99215e-7" units="dimensionless" />
    1220. 

  1220.     <variable name="C_Ca2" initial_value="6.71989e-11" units="dimensionless" />
    1221. 

  1221.     <variable name="C_Ca3" initial_value="2.87031e-15" units="dimensionless" />
    1222. 

  1222.     <variable name="C_Ca4" initial_value="4.59752e-20" units="dimensionless" />
    1223. 

  1223.     
    1224. 

  1224.     <!--  These variables are imported from other components. -->          
    1225. 

  1225.     <variable name="time" public_interface="in" private_interface="out" units="ms" />
    1226. 

  1226.     <variable name="V" public_interface="in" private_interface="out" units="mV" />
    1227. 

  1227.     <variable name="Ca_SS" public_interface="in" units="mM" />
    1228. 

  1228.     <variable name="Cao" public_interface="in" units="mM" />
    1229. 

  1229.     <variable name="Ko" public_interface="in" units="mM" />
    1230. 

  1230.     <variable name="Ki" public_interface="in" units="mM" />
    1231. 

  1231.     <variable name="R" public_interface="in" units="gas_constant_units" />
    1232. 

  1232.     <variable name="T" public_interface="in" units="kelvin" />
    1233. 

  1233.     <variable name="F" public_interface="in" units="faradays_constant_units" />
    1234. 

  1234.     
    1235. 

  1235.     <!-- These variables are imported from encapsulated components. -->
    1236. 

  1236.     <variable name="y" private_interface="in" units="dimensionless" />
    1237. 

  1237.     
    1238. 

  1238.     <rdf:RDF
    1239. 

  1239.       xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    1240. 

  1240.       xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
    1241. 

  1241.       <rdf:Description rdf:about="#i_Ca_L_Ca_calculation_eq">
    1242. 

  1242.         <cmeta:comment rdf:parseType="Resource">
    1243. 

  1243.           <rdf:value>
    1244. 

  1244.             Calculation of the calcium current component of the total channel
    1245. 

  1245.             current, given as the maximal current multiplied by the
    1246. 

  1246.             voltage-dependent inactivation gate and the open probability of the
    1247. 

  1247.             channel based on the mode-switching model.
    1248. 

  1248.           </rdf:value>
    1249. 

  1249.         </cmeta:comment>
    1250. 

  1250.       </rdf:Description>
    1251. 

  1251.     </rdf:RDF>
    1252. 

  1252.     <math xmlns="http://www.w3.org/1998/Math/MathML"
    1253. 

  1253.       cmeta:id="i_Ca_L_Ca_calculation_eq">
    1254. 

  1254.       <apply id="i_Ca_L_Ca_calculation"><eq />
    1255. 

  1255.         <ci> i_Ca_L_Ca </ci>
    1256. 

  1256.         <apply><times />
    1257. 

  1257.           <ci> i_Ca_L_Ca_max </ci>
    1258. 

  1258.           <ci> y </ci>
    1259. 

  1259.           <apply><plus />
    1260. 

  1260.             <ci> O </ci>
    1261. 

  1261.             <ci> O_Ca </ci>
    1262. 

  1262.           </apply>
    1263. 

  1263.         </apply>
    1264. 

  1264.       </apply>
    1265. 

  1265.     </math>
    1266. 

  1266.       
    1267. 

  1267.     <rdf:RDF
    1268. 

  1268.       xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    1269. 

  1269.       xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
    1270. 

  1270.       <rdf:Description rdf:about="#i_Ca_L_K_calculation_eq">
    1271. 

  1271.         <cmeta:comment rdf:parseType="Resource">
    1272. 

  1272.           <rdf:value>
    1273. 

  1273.             Calculation of the potassium current component of the total channel
    1274. 

  1274.             current.
    1275. 

  1275.           </rdf:value>
    1276. 

  1276.         </cmeta:comment>
    1277. 

  1277.       </rdf:Description>
    1278. 

  1278.     </rdf:RDF>
    1279. 

  1279.     <math xmlns="http://www.w3.org/1998/Math/MathML"
    1280. 

  1280.       cmeta:id="i_Ca_L_K_calculation_eq">
    1281. 

  1281.       <apply id="i_Ca_L_K_calculation"><eq />
    1282. 

  1282.         <ci> i_Ca_L_K </ci>
    1283. 

  1283.         <apply><times />
    1284. 

  1284.           <ci> p_k </ci>
    1285. 

  1285.           <ci> y </ci>
    1286. 

  1286.           <apply><plus />
    1287. 

  1287.             <ci> O </ci>
    1288. 

  1288.             <ci> O_Ca </ci>
    1289. 

  1289.           </apply>
    1290. 

  1290.           <apply><divide />
    1291. 

  1291.             <apply><times />
    1292. 

  1292.               <ci> V </ci>
    1293. 

  1293.               <apply><power/>
    1294. 

  1294.                 <ci> F </ci>
    1295. 

  1295.                 <cn cellml:units="dimensionless"> 2.0 </cn>
    1296. 

  1296.               </apply>
    1297. 

  1297.             </apply>
    1298. 

  1298.             <apply><times />
    1299. 

  1299.               <ci> R </ci>
    1300. 

  1300.               <ci> T </ci>
    1301. 

  1301.             </apply>
    1302. 

  1302.           </apply>
    1303. 

  1303.           <apply><divide />
    1304. 

  1304.             <apply><minus />
    1305. 

  1305.               <apply><times />
    1306. 

  1306.                 <ci> Ki </ci>
    1307. 

  1307.                 <apply><exp />
    1308. 

  1308.                   <apply><divide />
    1309. 

  1309.                     <apply><times />
    1310. 

  1310.                       <ci> V </ci>
    1311. 

  1311.                       <ci> F </ci>
    1312. 

  1312.                     </apply>
    1313. 

  1313.                     <apply><times />
    1314. 

  1314.                       <ci> R </ci>
    1315. 

  1315.                       <ci> T </ci>
    1316. 

  1316.                     </apply>
    1317. 

  1317.                   </apply>
    1318. 

  1318.                 </apply>
    1319. 

  1319.               </apply>
    1320. 

  1320.               <ci> Ko </ci>
    1321. 

  1321.             </apply> 
    1322. 

  1322.             <apply><minus />
    1323. 

  1323.               <apply><exp />
    1324. 

  1324.                 <apply><divide />
    1325. 

  1325.                   <apply><times />
    1326. 

  1326.                     <ci> V </ci>
    1327. 

  1327.                     <ci> F </ci>
    1328. 

  1328.                   </apply>
    1329. 

  1329.                   <apply><times />
    1330. 

  1330.                     <ci> R </ci>
    1331. 

  1331.                     <ci> T </ci>
    1332. 

  1332.                   </apply>
    1333. 

  1333.                 </apply>
    1334. 

  1334.               </apply>
    1335. 

  1335.               <cn cellml:units="dimensionless"> 1.0 </cn>
    1336. 

  1336.             </apply>
    1337. 

  1337.           </apply>
    1338. 

  1338.         </apply>
    1339. 

  1339.       </apply>
    1340. 

  1340.     </math>
    1341. 

  1341.       
    1342. 

  1342.     <rdf:RDF
    1343. 

  1343.       xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    1344. 

  1344.       xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
    1345. 

  1345.       <rdf:Description rdf:about="#p_K_calculation_eq">
    1346. 

  1346.         <cmeta:comment rdf:parseType="Resource">
    1347. 

  1347.           <rdf:value>
    1348. 

  1348.             The potassium permeability of the channel, which depends on the
    1349. 

  1349.             calcium current component.
    1350. 

  1350.           </rdf:value>
    1351. 

  1351.         </cmeta:comment>
    1352. 

  1352.       </rdf:Description>
    1353. 

  1353.     </rdf:RDF>
    1354. 

  1354.     <math xmlns="http://www.w3.org/1998/Math/MathML"
    1355. 

  1355.       cmeta:id="p_K_calculation_eq">
    1356. 

  1356.       <apply id="p_k_calculation"><eq />
    1357. 

  1357.         <ci> p_k </ci>
    1358. 

  1358.         <apply><divide />
    1359. 

  1359.           <ci> P_K </ci>
    1360. 

  1360.           <apply><plus />
    1361. 

  1361.             <cn cellml:units="dimensionless"> 1.0 </cn>
    1362. 

  1362.             <apply><divide />
    1363. 

  1363.               <ci> i_Ca_L_Ca…
    1364.