Model Mathematics

Component: environment

Component: membrane

ddtime Vm =- Ik + Ica + Ikca + Ikatp cm

Component: Ik

Ik = gK n Vm - VK

Component: n

ddtime n = n_infinity - n tau_n n_infinity = 1.0 1.0 + vn - Vm sn

Component: Ica

Ica = gCa m_infinity Vm - VCa

Component: m

m_infinity = 1.0 1.0 + v - Vm sm

Component: Ikca

Ikca = gkCa 1.0 + kd c 2.0 Vm - VK

Component: Ikatp

Ikatp = gkATP_ katpo Vm - VK katpo =topobottomo topo = 0.08 1.0 + 2.0 mgadp 17.0 + 0.89 mgadp 17.0 2.0 bottomo = 1.0 + mgadp 17.0 2.0 1.0 + adp3m 26.0 + atp4m 1.0 mgadp = 0.165 adp adp3m = 0.135 adp atp4m = 0.05 atp

Component: JGPDH

JGPDH = kGPDH | FBP 1|

Component: G6P

ddtime G6P = JGK_ms - JPFK_ms

Component: FBP

ddtime FBP = JPFK_ms - 0.5 JGPDH

Component: F6P

F6P = 0.3 G6P

Component: JPFK

JPFK_ms = kappa JPFK JPFK =lambdaVmaxPFKtopa16+VmaxPFKtopbbottom16 weight2=atp2k41 topa2=topa1 bottom2=bottom1+weight2 weight3=F6P2k31 topa3=topa2+weight3 bottom3=bottom2+weight3 weight4=F6Patp2f43k3k412 topa4=topa3+weight4 bottom4=bottom3+weight4 weight5=FBPk2 topa5=topa4 bottom5=bottom4+weight5 weight6=FBPatp2k2k4f421 topa6=topa5 bottom6=bottom5+weight6 weight7=FBPF6P2k2k3f231 topa7=topa6+weight7 bottom7=bottom6+weight7 weight8=FBPF6P2atp2k2k3k4f23f42f4312 topa8=topa7+weight8 bottom8=bottom7+weight8 weight9=AMPk1 topa9=topa8 bottom9=bottom8+weight9 weight10=AMPatp2k1k4f411 topa10=topa9 bottom10=bottom9+weight10 weight11=AMPF6P2k1k3f131 topa11=topa10+weight11 bottom11=bottom10+weight11 weight12=AMPF6P2atp2k1k3k4f13f41f4312 topa12=topa11+weight12 bottom12=bottom11+weight12 weight13=AMPFBPk1k2 topa13=topa12 bottom13=bottom12+weight13 weight14=AMPFBPatp2k1k2k4f42f411 topa14=topa13 bottom14=bottom13+weight14 weight15=AMPFBPF6P2k1k2k3f23f131 topa15=topa14 bottom15=bottom14+weight15 topb=weight15 weight16=AMPFBPF6P2atp2k1k2k3k4f23f13f42f41f4312 topa16=topa15+weight16 bottom16=bottom15+weight16

Component: JPDH

JPDH = p1 p2 + NADHm NADm Cam p3 + Cam JGPDH + JGPDHbas

Component: NADHm

ddtime NADHm = gamma JPDH - JO

Component: JO

JO = p4 NADHm p5 + NADHm 1.0 + delta_psi - p6 p7

Component: NADm

NADm = NADmtot - NADHm

Component: delta_psi

ddtime delta_psi = JHres - JHatp + JANT + JHleak + JNaCa + 2.0 Juni Cmito

Component: JHres

JHres = p8 NADHm p9 + NADHm 1.0 + delta_psi - p10 p11

Component: JF1F0

JF1F0 = p16 p13 p13 + ATPm 1.0 + p14 - delta_psi p15

Component: JHatp

JHatp = 3.0 JF1F0

Component: JGK

JGK_ms = kappa JGK

Component: JHleak

JHleak = p17 delta_psi + p18

Component: JANT

JANT = p19 RATm RATm + p20 -0.5 FRT delta_psi

Component: RATm

RATm = ATPm ADPm

Component: Juni

Juni = p21 delta_psi - p22 c 2.0

Component: JNaCa

JNaCa = p23 c Cam p24 delta_psi

Component: Cam

ddtime Cam =- fmito Jmito

Component: Jmito

Jmito = JNaCa - Juni

Component: ADPm

ddtime ADPm = gamma JANT - JF1F0

Component: ATPm

ATPm = Amtot - ADPm

Component: adp

ddtime adp =- delta JANT + Jhyd

Component: Jhyd

Jhyd = khyd c + khydbas atp

Component: atp

atp = atot - adp

Component: c

ddtime c = fcyt Jmem + Jer + delta Jmito

Component: Jmem

Jmem =- alpha Ica + kPMCA c - Cbas

Component: Jleak

Jleak = pleak Caer - c

Component: JSERCA

JSERCA = kSERCA c

Component: Jer

Jer = Jleak - JSERCA

Component: Caer

ddtime Caer =- fer Vc_Ver Jer

Component: model_parameters

delta = 3.9 53.2