Model Mathematics

Component: environment

Component: membrane

dd time V = i_VCa + i_Ca_pump + i_NaCa + i_CRAN + i_Na + i_NaK + i_KDr + i_KCa + i_KATP - Cm

Component: whole_cell_calcium_current

i_VCa = gm_VCa p_VCa V - V_Ca V_Ca = R T 2.0 F ln Cao Cai

Component: whole_cell_calcium_current_p_VCa_gate

p_VCa = 1.0 1.0 + V_Cah - V K_Cah

Component: PM_calcium_pumps

i_Ca_pump = Pm_Cap Cai 2.0 K_Cap 2.0 + Cai 2.0

Component: sodium_calcium_exchanger

i_NaCa = g_NaCa Cai 5.0 Cai 5.0 + K_NaCa 5.0 V - V_NaCa V_NaCa = R T F 3.0 ln Nao Nai -ln Cao Cai

Component: nonselective_cation_current

i_CRAN = f_CRAN P_CRAN V - V_Na f_CRAN =- gm_CRAN 1.0 + CaER - K_Car 3.0 P_CRAN = V - V_CRAN

Component: sodium_current

i_Na = gm_Na p_Na V - V_Na V_Na = R T F ln Nao Nai

Component: sodium_current_p_Na_gate

p_Na = 1.0 1.0 + 104.0 + V 8.0

Component: sodium_potassium_active_transport

i_NaK = P_NaK F1 f2 f3 F4 F5 f6 - b1 B2 B3 B4 b5 B6 D D = f2 f3 F4 F5 f6 + b1 f3 F4 F5 f6 + b1 B2 F4 F5 f6 + b1 B2 B3 F5 f6 + b1 B2 B3 B4 f6 + b1 B2 B3 B4 b5 F1 = f1 Nai 3.0 F4 = f4 Ko 2.0 F5 = f5 ATPi f5 = f5_ V F 2.0 R T B2 = b2 ATPi B3 = b3 Nai 3.0 B4 = b4 P B6 = b6 K_supi 2.0 b5 = b5_ - V F 2.0 R T

Component: voltage_dependent_potassium_current

i_KDr = gm_KDr n V - V_K V_K = R T F ln Ko Ki

Component: voltage_dependent_potassium_current_n_gate

dd time n = n_infinity - n tau_n n_infinity = 1.0 1.0 + Vn - V Sn tau_n = c V - Vtau a + Vtau - V b

Component: calcium_dependent_potassium_current

i_KCa = gm_KCa fCa V - V_K

Component: calcium_dependent_potassium_current_fCa_gate

fCa = Cai 4.0 Cai 4.0 + K_KCa 4.0

Component: ATP_dependent_potassium_current

i_KATP = gm_KATP O_KATP V - V_K O_KATP = 0.08 1.0 + 0.33 ADPi Kdd + 0.89 0.165 + ADPi Kdd 2.0 0.165 + ADPi Kdd 2.0 1.0 + 0.135 ADPi Ktd + 0.05 ATPi Ktt

Component: SERCA_pump

Jer_p = P_CaER Cai 2.0 Cai 2.0 + K_Carp 2.0

Component: IP3_metabolism

dd time IP3i = kIP Cai 2.0 Cai 2.0 + K_IPCa 2.0 - kdIP IP3i

Component: CaER_mobilisation

J_out = P_leak + P_IP3 O_infinity CaER - Cai O_infinity = Cai Cai + K_RCa IP3i 3.0 IP3i 3.0 + K_IP3 3.0

Component: calcium_and_sodium_dynamics

dd time Cai = fi - i_VCa + i_NaCa 2.0 - i_Ca_pump 2.0 2.0 F Vi - Jer_p + J_out Vi - ksg Cai dd time CaER = fer Ver Jer_p Vi - J_out dd time Nai =- 3.0 i_NaCa + 3.0 i_NaK + i_Na + i_CRAN Vi F

Component: ATP_homeostasis

dd time ATPi = k_ADP ADPi - i_NaK + i_CRAN Vi F + Jer_p 2.0 + k_ATP_Ca Cai + k_ATP ATPi ADPi = Ao - ATPi

Component: cell_and_external_parameters

Model Curation
  • Curation Status c0
  • JSim c0
  • COR c0
  • OpenCell c0
Source
Derived from workspace Fridlyand, Tamarina, Philipson, 2003 at changeset 78a543ec8519.
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License

This work is licensed under a Creative Commons Attribution 3.0 Unported License.