Model Mathematics

Component: Vm

$V=p1⁢time-t0-tss+p2p1=0iftime-tss<0.47420.2508iftime-tss≥0.4742∧time-tss<9.7684-4.2966iftime-tss≥9.7684∧time-tss<10.80763.6283iftime-tss≥10.8076∧time-tss<12.03136.7127iftime-tss≥12.0313∧time-tss<18.32683.6151iftime-tss≥18.3268∧time-tss<19.7879-6.8481iftime-tss≥19.7879∧time-tss<21.9031-0.0369iftime-tss≥21.9031∧time-tss<55.9040-66.1632iftime-tss≥55.9040∧time-tss<56.2152-1.4456iftime-tss≥56.2152∧time-tss<62.2548-0.1557iftime-tss≥62.2548∧time-tss<82.4301-0.0623iftime-tss≥82.4301∧time-tss<113.96100otherwisep2=-63.0930iftime-tss<0.4742-63.0930iftime-tss≥0.4742∧time-tss<9.7684-60.7620iftime-tss≥9.7684∧time-tss<10.8076-65.2270iftime-tss≥10.8076∧time-tss<12.0313-60.7870iftime-tss≥12.0313∧time-tss<18.3268-18.5270iftime-tss≥18.3268∧time-tss<19.7879-13.2450iftime-tss≥19.7879∧time-tss<21.9031-27.7300iftime-tss≥21.9031∧time-tss<55.9040-28.9850iftime-tss≥55.9040∧time-tss<56.2152-49.5750iftime-tss≥56.2152∧time-tss<62.2548-58.3060iftime-tss≥62.2548∧time-tss<82.4301-61.4480iftime-tss≥82.4301∧time-tss<113.9610-63.411otherwiset0=0iftime-tss<0.47420.4742iftime-tss≥0.4742∧time-tss<9.76849.7684iftime-tss≥9.7684∧time-tss<10.807610.8076iftime-tss≥10.8076∧time-tss<12.031312.0313iftime-tss≥12.0313∧time-tss<18.326818.3268iftime-tss≥18.3268∧time-tss<19.787919.7879iftime-tss≥19.7879∧time-tss<21.903121.9031iftime-tss≥21.9031∧time-tss<55.904055.9040iftime-tss≥55.9040∧time-tss<56.215156.2151iftime-tss≥56.2151∧time-tss<62.254862.2548iftime-tss≥62.2548∧time-tss<82.430182.4299iftime-tss≥82.4301∧time-tss<113.96100otherwise$

Component: K_1

$K_1=Cain_MCa_halfMLCKn_M+Cain_M⁢1$

Component: Nernst_potential

$E=R⁢Tz⁢F⁢ln⁡X_oX_i$

Component: Nernst_potential

$E=R⁢Tz⁢F⁢ln⁡X_oX_i$

Component: Nernst_potential

$E=R⁢Tz⁢F⁢ln⁡X_oX_i$

Component: CB4HM

$K_4=K_34K_5=K_2K_6=K_1norm=M+Mp+AM+AMpddtimeM=-K_1⁢Mnorm+K_2⁢Mpnorm+K_7⁢AMnormddtimeMp=K_4⁢AMpnorm+K_1⁢Mnorm-K_2+K_3⁢MpnormddtimeAM=K_5⁢AMpnorm-K_6+K_7⁢AMnormddtimeAMp=K_3⁢Mpnorm+K_6⁢AMnorm-K_4+K_5⁢AMpnormstress=AMp+AMphosphorylation=AMp+Mp$

Component: J_VOCC

$rho_vCa=11+ⅇV_Cahalf-VK_CahalfJ_VOCC=-I_VOCC2⁢V_cell⁢F$

Component: J_CaPump

$J_CaPump=-V_pmax⁢CainK_phn+Cain$

Component: J_NaCa

$V_mNaCa=3⁢E_Na-2⁢E_CaJ_NaCa=G_NaCa⁢CaiCai+K_NaCa⁢V-V_mNaCa$

Component: Cai

$ddtimeCai=J_VOCC+inhPump⁢J_CaPump+J_NaCa$

Component: Ionic_currents

$I=g_max⁢PO⁢V-E$

Component: initials

Source
Derived from workspace Model of Excitation-Contraction in a uterine SMC at changeset ea9d4586c4e4.
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