- Author:
- Weiwei Ai <wai484@aucklanduni.ac.nz>
- Date:
- 2025-11-06 10:29:03+13:00
- Desc:
- Add constraints on z1 and z2
- Permanent Source URI:
- https://staging.physiomeproject.org/workspace/cad/rawfile/30c4948d234c3feef49a04d72f622732bb2faa85/data/Terkildsen_NaK_kinetic_Fig2b_Data.csv
environment | t (second),environment | current_density1 (uA_per_uF),environment | current_density2 (uA_per_uF),environment | current_density3 (uA_per_uF),environment | elementary_charge (uC),environment | membrane_capacitance (uF_per_um2),environment | Nae1 (mM),environment | Nae2 (mM),environment | Nae3 (mM),environment | pump_density (per_um2),environment | v_cyc_nak1 (per_second),environment | v_cyc_nak2 (per_second),environment | v_cyc_nak3 (per_second),environment | Vm (mV),environment | Vm' (mV/second)
0,0.837199104251065,0.411253653857281,0.172730640555097,1.6e-13,1e-08,50,100,150,1360.2624,38.4668017109725,18.8958787408077,7.93645772660742,-140,1
1,0.842428384583602,0.419960337600502,0.17786502233274,1.6e-13,1e-08,50,100,150,1360.2624,38.7070715447807,19.2959248892209,8.17236725487393,-139,1
2,0.847568117944184,0.428728991659961,0.183120394343046,1.6e-13,1e-08,50,100,150,1360.2624,38.943226962321,19.6988183888252,8.41383592345153,-138,1
3,0.852619213022539,0.437555255134314,0.188497776238563,1.6e-13,1e-08,50,100,150,1360.2624,39.175309715176,20.1043588692113,8.66091058233337,-137,1
4,0.857582635908872,0.446434660733561,0.193998087149699,1.6e-13,1e-08,50,100,150,1360.2624,39.4033641923092,20.5123410717282,8.91363346282024,-136,1
5,0.862459405715791,0.455362644252482,0.199622139542449,1.6e-13,1e-08,50,100,150,1360.2624,39.6274372189049,20.9225552847599,9.1720418953013,-135,1
6,0.867250590308424,0.464334554475576,0.205370633081243,1.6e-13,1e-08,50,100,150,1360.2624,39.8475778601809,21.3347877988273,9.43616802727012,-134,1
7,0.871957302150875,0.473345663468935,0.211244148523182,1.6e-13,1e-08,50,100,150,1360.2624,40.0638372305444,21.7488213794694,9.70603854278327,-133,1
8,0.876580694275997,0.48239117721148,0.217243141671547,1.6e-13,1e-08,50,100,150,1360.2624,40.2762683084159,22.164435755717,9.98167438464202,-132,1
9,0.881121956384379,0.491466246515292,0.223367937417941,1.6e-13,1e-08,50,100,150,1360.2624,40.484925756989,22.581408121849,10.2630904806465,-131,1
10,0.885582311077421,0.500565978182514,0.229618723903834,1.6e-13,1e-08,50,100,150,1360.2624,40.6898657511513,22.9995136500186,10.550295475336,-130,1
11,0.889963010228378,0.509685446344457,0.235995546833544,1.6e-13,1e-08,50,100,150,1360.2624,40.8911458107448,23.4185260112524,10.8432914686876,-129,1
12,0.894265331494359,0.518819703927181,0.242498303971815,1.6e-13,1e-08,50,100,150,1360.2624,41.0888246403028,23.8382179022583,11.1420737632963,-128,1
13,0.898490574971402,0.527963794186875,0.249126739860082,1.6e-13,1e-08,50,100,150,1360.2624,41.2829619753605,24.2583615754429,11.4466306216029,-127,1
14,0.902640059993953,0.537112762257958,0.255880440786271,1.6e-13,1e-08,50,100,150,1360.2624,41.4736184354005,24.6787293695116,11.7569430347718,-126,1
15,0.906715122079355,0.546261666656854,0.262758830043523,1.6e-13,1e-08,50,100,150,1360.2624,41.6608553834611,25.0990942380333,12.0729845048427,-125,1
16,0.910717110017265,0.555405590684934,0.269761163513496,1.6e-13,1e-08,50,100,150,1360.2624,41.8447347924041,25.5192302733711,12.3947208417975,-124,1
17,0.914647383103329,0.56453965367513,0.27688652560996,1.6e-13,1e-08,50,100,150,1360.2624,42.02531911781,25.9389132234307,12.7221099771798,-123,1
18,0.918507308515868,0.573659022028183,0.284133825618146,1.6e-13,1e-08,50,100,150,1360.2624,42.2026711774447,26.3579209987436,13.0551017958992,-122,1
19,0.922298258833831,0.58275891998641,0.291501794464771,1.6e-13,1e-08,50,100,150,1360.2624,42.376854037217,26.776034167489,13.3936379878237,-121,1
20,0.926021609693848,0.591834640095172,0.298988981952821,1.6e-13,1e-08,50,100,150,1360.2624,42.5479309035268,27.1930364361672,13.737651920726,-120,1
21,0.92967873758378,0.600881553304966,0.306593754493997,1.6e-13,1e-08,50,100,150,1360.2624,42.7159650218857,27.6087151137607,14.0870685360963,-119,1
22,0.933271017769862,0.609895118670081,0.314314293370255,1.6e-13,1e-08,50,100,150,1360.2624,42.8810195816751,28.0228615573584,14.4418042692652,-118,1
23,0.936799822354202,0.618870892603162,0.322148593554024,1.6e-13,1e-08,50,100,150,1360.2624,43.0431576268944,28.4352715973753,14.8017669951963,-117,1
24,0.940266518459152,0.627804537648634,0.330094463114537,1.6e-13,1e-08,50,100,150,1360.2624,43.2024419727378,28.8457459406653,15.1668560012087,-116,1
25,0.943672466534858,0.636691830741816,0.338149523235213,1.6e-13,1e-08,50,100,150,1360.2624,43.3589351278317,29.2540905500023,15.5369619877759,-115,1
26,0.947019018786108,0.645528670924586,0.346311208864203,1.6e-13,1e-08,50,100,150,1360.2624,43.5126992219529,29.6601169985928,15.9119670984162,-114,1
27,0.95030751771446,0.654311086492645,0.354576770017091,1.6e-13,1e-08,50,100,150,1360.2624,43.6637959390436,30.0636427984706,16.2917449795482,-113,1
28,0.953539294771522,0.663035241553681,0.362943273747318,1.6e-13,1e-08,50,100,150,1360.2624,43.812286455334,30.4644917018254,16.6761608710256,-112,1
29,0.956715669119164,0.67169744198004,0.37140760679616,1.6e-13,1e-08,50,100,150,1360.2624,43.9582313823772,30.86249397451,17.065071727896,-111,1
30,0.959837946492414,0.680294140743805,0.379966478930177,1.6e-13,1e-08,50,100,150,1360.2624,44.1016907148032,31.2574866411714,17.4583263737468,-110,1
31,0.962907418160735,0.688821942626439,0.388616426969858,1.6e-13,1e-08,50,100,150,1360.2624,44.2427237825922,31.6493137016449,17.8557656858089,-109,1
32,0.965925359983391,0.697277608299312,0.397353819508793,1.6e-13,1e-08,50,100,150,1360.2624,44.3813892076719,32.0378263184419,18.2572228117895,-108,1
33,0.96889303155462,0.705658057775459,0.406174862318258,1.6e-13,1e-08,50,100,150,1360.2624,44.5177448646406,32.4228829753482,18.6625234181957,-107,1
34,0.971811675434374,0.713960373236795,0.415075604427404,1.6e-13,1e-08,50,100,150,1360.2624,44.6518478454218,32.8043496073255,19.0714859697017,-106,1
35,0.974682516460405,0.722181801244692,0.424051944864625,1.6e-13,1e-08,50,100,150,1360.2624,44.783754427657,33.1820997020819,19.4839220388941,-105,1
36,0.977506761137599,0.730319754345299,0.433099640040936,1.6e-13,1e-08,50,100,150,1360.2624,44.9135200466468,33.5560143738305,19.8996366455167,-104,1
37,0.980285597100459,0.738371812084179,0.442214311751567,1.6e-13,1e-08,50,100,150,1360.2624,45.0411992706544,33.9259824099095,20.3184286241191,-103,1
38,0.983020192644794,0.74633572144782,0.451391455767369,1.6e-13,1e-08,50,100,150,1360.2624,45.1668457793876,34.2919002910679,20.7400910188068,-102,1
39,0.985711696324726,0.754209396752236,0.460626450983215,1.6e-13,1e-08,50,100,150,1360.2624,45.2905123454823,34.6536721863478,21.1644115035826,-101,1
40,0.988361236611246,0.761990919001303,0.469914569086301,1.6e-13,1e-08,50,100,150,1360.2624,45.4122508188147,35.0112099236011,21.5911728265766,-100,1
41,0.990969921608654,0.769678534739516,0.479250984703237,1.6e-13,1e-08,50,100,150,1360.2624,45.5321121134723,35.3644329367773,22.020153276274,-99,1
42,0.993538838825332,0.777270654425711,0.488630785981087,1.6e-13,1e-08,50,100,150,1360.2624,45.6501461972214,35.7132681912012,22.4511271676832,-98,1
43,0.996069054995439,0.784765850355774,0.49804898555409,1.6e-13,1e-08,50,100,150,1360.2624,45.7664020833149,36.057650088127,22.8838653462234,-97,1
44,0.998561615948197,0.792162854163564,0.507500531844768,1.6e-13,1e-08,50,100,150,1360.2624,45.8809278244862,36.3975203499139,23.3181357069768,-96,1
45,1.00101754652161,0.799460553930224,0.516980320645461,1.6e-13,1e-08,50,100,150,1360.2624,45.9937705089846,36.7328278872069,23.753703726826,-95,1
46,1.00343785051753,0.806657990932685,0.526483206924165,1.6e-13,1e-08,50,100,150,1360.2624,46.1049762585115,37.0635286495406,24.1903330068966,-94,1
47,1.00582351069521,0.813754356062565,0.536004016796786,1.6e-13,1e-08,50,100,150,1360.2624,46.2145902279226,37.3895854607981,24.6277858226465,-93,1
48,1.00817548880039,0.820748985946798,0.545537559606665,1.6e-13,1e-08,50,100,150,1360.2624,46.3226566065667,37.7109678409657,25.0658236788847,-92,1
49,1.01049472562744,0.827641358801223,0.555078640051526,1.6e-13,1e-08,50,100,150,1360.2624,46.4292186211389,38.0276518156177,25.5042078669677,-91,1
50,1.01278214111185,0.834431090048065,0.564622070297697,1.6e-13,1e-08,50,100,150,1360.2624,46.5343185399308,38.3396197145522,25.9427000214121,-90,1
51,1.01503863445066,0.841117927727712,0.574162682021763,1.6e-13,1e-08,50,100,150,1360.2624,46.6379976783642,38.6468599609767,26.3810626731726,-89,1
52,1.01726508424857,0.8477017477345,0.583695338320584,1.6e-13,1e-08,50,100,150,1360.2624,46.7402964057048,38.949366852606,26.8190597968719,-88,1
53,1.01946234868748,0.854182548905377,0.59321494543186,1.6e-13,1e-08,50,100,150,1360.2624,46.8412541528515,39.2471403360014,27.2564573493256,-87,1
54,1.02163126571745,0.860560447989317,0.60271646420919,1.6e-13,1e-08,50,100,150,1360.2624,46.9409094211094,39.54018577543,27.6930237967868,-86,1
55,1.02377265326695,0.866835674524227,0.612194921297772,1.6e-13,1e-08,50,100,150,1360.2624,47.0392997918521,39.8285137174741,28.1285306284367,-85,1
56,1.02588730947072,0.873008565646902,0.621645419959507,1.6e-13,1e-08,50,100,150,1360.2624,47.1364619369912,40.1121396525636,28.562752853765,-84,1
57,1.02797601291344,0.879079560860245,0.631063150499288,1.6e-13,1e-08,50,100,150,1360.2624,47.2324316301693,40.3910837745462,28.9954694816276,-83,1
58,1.03003952288739,0.885049196780637,0.640443400247632,1.6e-13,1e-08,50,100,150,1360.2624,47.3272437586027,40.665370739344,29.4264639789183,-82,1
59,1.03207857966281,0.890918101886888,0.649781563058474,1.6e-13,1e-08,50,100,150,1360.2624,47.4209323355007,40.9350294236836,29.8555247069643,-81,1
60,1.03409390476928,0.896686991290776,0.65907314828489,1.6e-13,1e-08,50,100,150,1360.2624,47.5135305129952,41.2000926848184,30.2824453339338,-80,1
61,1.03608620128682,0.90235666154769,0.668313789199686,1.6e-13,1e-08,50,100,150,1360.2624,47.6050705955161,41.4605971220925,30.7070252217369,-79,1
62,1.03805615414546,0.907927985524429,0.677499250832095,1.6e-13,1e-08,50,100,150,1360.2624,47.6955840535558,41.7165828411319,31.1290697860986,-78,1
63,1.04000443043205,0.913401907339719,0.686625437196286,1.6e-13,1e-08,50,100,150,1360.2624,47.7851015377643,41.9680932213758,31.5483908286871,-77,1
64,1.0419316797031,0.918779437391569,0.695688397891907,1.6e-13,1e-08,50,100,150,1360.2624,47.873652893327,42.2151746875993,31.9648068403891,-76,1
65,1.04383853430282,0.924061647484164,0.704684334061411,1.6e-13,1e-08,50,100,150,1360.2624,47.9612671745732,42.4578764860076,32.3781432750315,-75,1
66,1.04572560968509,0.929249666065572,0.713609603693448,1.6e-13,1e-08,50,100,150,1360.2624,48.0479726597737,42.6962504654236,32.7882327930556,-74,1
67,1.04759350473875,0.934344673586236,0.722460726266012,1.6e-13,1e-08,50,100,150,1360.2624,48.1337968660842,42.9303508640243,33.1949154748567,-73,1
68,1.04944280211515,0.939347897986881,0.731234386727423,1.6e-13,1e-08,50,100,150,1360.2624,48.218766564596,43.1602341020233,33.5980390036981,-72,1
69,1.05127406855728,0.944260610323248,0.739927438817351,1.6e-13,1e-08,50,100,150,1360.2624,48.3029077954589,43.3859585806408,33.9974588183018,-71,1
70,1.05308785522974,0.94908412053388,0.748536907734118,1.6e-13,1e-08,50,100,150,1360.2624,48.3862458830432,43.6075844876455,34.393038235404,-70,1
71,1.05488469804894,0.953819773356044,0.757059992158288,1.6e-13,1e-08,50,100,150,1360.2624,48.468805451109,43.8251736097041,34.7846485427319,-69,1
72,1.05666511801281,0.958468944393837,0.765494065646093,1.6e-13,1e-08,50,100,150,1360.2624,48.5506104379572,44.0387891517216,35.1721690630284,-68,1
73,1.05842962152956,0.963033036341521,0.773836677409513,1.6e-13,1e-08,50,100,150,1360.2624,48.6316841115343,44.2484955633156,35.5554871898941,-67,1
74,1.06017870074491,0.967513475364203,0.782085552502825,1.6e-13,1e-08,50,100,150,1360.2624,48.7120490844684,44.4543583725189,35.9344983963584,-66,1
75,1.06191283386739,0.971911707637138,0.790238591438113,1.6e-13,1e-08,50,100,150,1360.2624,48.7917273290152,44.6564440267709,36.3091062172137,-65,1
76,1.06363248549123,0.976229196044117,0.79829386925463,1.6e-13,1e-08,50,100,150,1360.2624,48.8707401918938,44.8548197412185,36.6792222062555,-64,1
77,1.06533810691646,0.980467417034704,0.806249634068962,1.6e-13,1e-08,50,100,150,1360.2624,48.9491084089943,45.0495533543153,37.0447658696661,-63,1
78,1.06703013646589,0.984627857639407,0.814104305134707,1.6e-13,1e-08,50,100,150,1360.2624,49.0268521199426,45.2407131906777,37.4056645768634,-62,1
79,1.06870899979865,0.988712012641278,0.821856470441819,1.6e-13,1e-08,50,100,150,1360.2624,49.1039908825061,45.4283679311285,37.7618534501973,-61,1
80,1.07037511022,0.99272138190191,0.82950488388692,1.6e-13,1e-08,50,100,150,1360.2624,49.1805436868282,45.6125864898342,38.1132752349344,-60,1
81,1.07202886898713,0.99665746783931,0.837048462046705,1.6e-13,1e-08,50,100,150,1360.2624,49.2565289694807,45.7934378984208,38.4598801510055,-59,1
82,1.07367066561082,1.0005217730547,0.844486280587137,1.6e-13,1e-08,50,100,150,1360.2624,49.3319646273222,45.9709911969331,38.8016257280184,-58,1
83,1.07530087815267,1.00431579810499,0.851817570341403,1.6e-13,1e-08,50,100,150,1360.2624,49.4068680311546,46.1453153314843,39.1384766250524,-57,1
84,1.0769198735177,1.00804103941715,0.859041713089625,1.6e-13,1e-08,50,100,150,1360.2624,49.4812560391702,46.3164790584316,39.470404436748,-56,1
85,1.07852800774235,1.01169898734086,0.866158237073126,1.6e-13,1e-08,50,100,150,1360.2624,49.5551450101809,46.4845508548968,39.7973874872013,-55,1
86,1.0801256262775,1.01529112433499,0.873166812275594,1.6e-13,1e-08,50,100,150,1360.2624,49.6285508166247,46.6495988354429,40.1194106131469,-54,1
87,1.08171306426666,1.01881892328382,0.880067245502874,1.6e-13,1e-08,50,100,150,1360.2624,49.7014888573456,46.81169067471,40.4364649378896,-53,1
88,1.08329064681898,1.0222838459385,0.886859475292292,1.6e-13,1e-08,50,100,150,1360.2624,49.7739740701397,46.9708935358034,40.7485476374031,-52,1
89,1.08485868927725,1.02568734147915,0.893543566681466,1.6e-13,1e-08,50,100,150,1360.2624,49.8460209440679,47.1272740042264,41.0556616999717,-51,1
90,1.08641749748069,1.02903084519289,0.900119705865402,1.6e-13,1e-08,50,100,150,1360.2624,49.9176435315298,47.2808980271421,41.3578156807007,-50,1
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92,1.08950858850213,1.03554354166636,0.912949445564712,1.6e-13,1e-08,50,100,150,1360.2624,50.0596699441102,47.580137004557,41.9473039523805,-48,1
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187,1.21898390312389,1.21639364412719,1.20964305007352,1.6e-13,1e-08,50,100,150,1360.2624,56.0086744625471,55.8896597876625,55.5794901260191,47,1
188,1.22028354482884,1.21777316969544,1.21123659995942,1.6e-13,1e-08,50,100,150,1360.2624,56.0683891224241,55.9530448727869,55.6527089901655,48,1
189,1.22158287752214,1.21914978144878,1.21282037746538,1.6e-13,1e-08,50,100,150,1360.2624,56.1280895841376,56.0162960768076,55.7254788426012,49,1
190,1.22288191070754,1.22052357290676,1.21439469058954,1.6e-13,1e-08,50,100,150,1360.2624,56.1877762843558,56.0794176966684,55.7978138349236,50,1
191,1.22418065349124,1.22189463451527,1.21595983786092,1.6e-13,1e-08,50,100,150,1360.2624,56.2474496414826,56.1424138880881,55.8697276836493,51,1
192,1.22547911459482,1.22326305374257,1.217516108606,1.6e-13,1e-08,50,100,150,1360.2624,56.3071100562479,56.2052886699734,55.9412336824682,52,1
193,1.22677730236762,1.22462891517254,1.21906378320942,1.6e-13,1e-08,50,100,150,1360.2624,56.3667579122796,56.2680459287,56.0123447142176,53,1
194,1.22807522479884,1.22599230059497,1.22060313336851,1.6e-13,1e-08,50,100,150,1360.2624,56.4263935766568,56.3306894222656,56.0830732625793,53.9999999999999,1
195,1.22937288952915,1.2273532890933,1.22213442234187,1.6e-13,1e-08,50,100,150,1360.2624,56.4860174004454,56.3932227843179,56.1534314235012,55,1
196,1.23067030386197,1.2287119571296,1.22365790519204,1.6e-13,1e-08,50,100,150,1360.2624,56.5456297192167,56.4556495280617,56.2234309163459,56,1
197,1.23196747477444,1.23006837862708,1.22517382902225,1.6e-13,1e-08,50,100,150,1360.2624,56.6052308535491,56.5179730500473,56.2930830947697,57,1
198,1.23326440892797,1.23142262505,1.22668243320738,1.6e-13,1e-08,50,100,150,1360.2624,56.6648211095138,56.5801966338443,56.3623989573343,58,1
199,1.23456111267842,1.23277476548122,1.22818394961916,1.6e-13,1e-08,50,100,150,1360.2624,56.7244007791449,56.6423234536045,56.431389157855,59,1
200,1.2358575920861,1.23412486669739,1.22967860284578,1.6e-13,1e-08,50,100,150,1360.2624,56.7839701408943,56.7043565775153,56.5000640154881,59.9999999999999,1
