Activity-mediated_accumulation_potassium_induces_switch_firing_pattern/cfg/MTM_W_sPNaS_sICD.json

{
    
    "ode": [
      "C*(dv/dt) = - I_Na - I_K - I_L - i_p + I_app",
      "dm_Na/dt = alpha_m*(1-m_Na)-beta_m*m_Na",
      "dh_Na/dt = alpha_h*(1-h_Na)-beta_h*h_Na",
      "dn_K/dt = alpha_n*(1-n_K)-beta_n*n_K",
      "dNa_i/dt = rho/F*(-parstNa*i_p-I_Na-I_L_Na)*r_fast_vs_ion",
      "dK_i/dt = rho/F*(parstK*i_p-I_K-I_L_K)*r_fast_vs_ion",
      "dK_o/dt = rho/F*(parstK*i_p-I_K-I_L_K)*-remim*r_fast_vs_ion"
       
    ],
    
     "init_states": {
      "m_Na":"0.1",
      "h_Na":"0.6",
      "n_K":"0.4",
      "Na_i":"(10.0*mM)",
      "K_i":"(150.0*mM)",
      "K_o":"(8.0*mM)",
      "v":"(-60.0*mV)"
    },
    
     "definitions":
    {
      "I_Na": "g_Na*(m_Na**3)*h_Na*(v-E_Na)*Q10_gNa**((T-T0)/(10*kelvin))",
      "I_K": "g_K*(n_K**4)*(v-E_K)*Q10_gK**((T-T0)/(10*kelvin))",
      "I_L": "I_L_K+I_L_Na",
      "i_p": "(Piecewise((0,(Na_i<=(Na_sens0/2))),(1,(Na_i>(Na_sens0/2)))))*(I_max*(1/(1+exp(-Na_sens*(Na_i-Na_sens0)))-1/(1+exp(-Na_sens*-Na_sens0/2))))*Q10_gPump**((T-T0)/(10*kelvin))"
    },
    
     "functions":
    {
      "q_m": "Q10_m**((T-T0)/(10*kelvin))",
      "q_n": "Q10_n**((T-T0)/(10*kelvin))",
      "q_h": "Q10_h**((T-T0)/(10*kelvin))",
      "alpha_m": "0.32*(v/mV+alpha_mV)/(1-exp(-(v/mV+alpha_mV)/4))*q_m/ms",
      "beta_m": "0.28*(v/mV+beta_mV)/(exp((v/mV+beta_mV)/5)-1)*q_m/ms",
      "alpha_h": "0.128*exp(-(v/mV+alpha_hV)/18)*q_h/ms",
      "beta_h": "4/(1+exp(-(v/mV+beta_hV)/5))*q_h/ms",
      "alpha_n": "0.032*(v/mV+alpha_nV)/(1-exp(-(v/mV+alpha_nV)/5))*q_n/ms",
      "beta_n": "0.5*exp(-(v/mV+beta_nV)/40)*q_n/ms",
      "m_Na_inf":"alpha_m/(alpha_m+beta_m)",
      "h_Na_inf":"alpha_h/(alpha_h+beta_h)",
      "n_K_inf":"alpha_n/(alpha_n+beta_n)",
      "I_Nainf":"g_Na*(m_Na_inf**3)*h_Na_inf*(v-E_Na)*Q10_gNa**((T-T0)/(10*kelvin))",
      "I_Kinf": "g_K*(n_K_inf**4)*(v-E_K)*Q10_gK**((T-T0)/(10*kelvin))",
      "I_Linf": "g_L*(v-E_L)*Q10_gL**((T-T0)/(10*kelvin))",
      "i_pinf": "(Piecewise((0,Na_i<=(Na_sens0/2)),(1,Na_i>(Na_sens0/2))))*(I_max*(1/(1+exp(-Na_sens*(Na_i-Na_sens0)))-1/(1+exp(-Na_sens*-Na_sens0/2))))*Q10_gPump**((T-T0)/(10*kelvin))",
      "E_Na": "R*T/F*log(Na_o/Na_i)",
      "E_K":"R*T/F*log(K_o/K_i)",
      "E_L":"R*T/F*log((K_o*P_K+Na_o*P_Na)/(K_i*P_K+Na_i*P_Na))",
      "I_L_K": "g_L*P_K*(v-E_K)*Q10_gL**((T-T0)/(10*kelvin))",
      "I_L_Na": "g_L*P_Na*(v-E_Na)*Q10_gL**((T-T0)/(10*kelvin))"

    },
    
     "currents": {
        "I_Na": "I_Na",
        "I_K": "I_K",
        "I_L": "I_L",
        "i_p": "i_p"
    },
    
    "resting_membrane_pot": {
      "E_Na": "E_Na",
      "E_K":"E_K",
      "E_L":"E_L"
    },
    "ss_currents": {
          "I_Nainf":"I_Nainf",
          "I_Kinf": "I_Kinf",
          "I_Linf": "I_Linf",
          "i_pinf": "i_pinf"
      },
    "parameters": {
        "I_app": "1.0 * uA/cm2",

        "C": "1.0 * uF/cm2",
        "P_K":"(0.96)",
        "P_Na":"(0.04)",
        "F":"96484.6*coulomb/mol",
        "R":"8314.4*mjoule/(mol*kelvin)",
        "T": "293.15 * kelvin",

        "rho":"4000/cm",
        "remim":"0.2",
        "parstNa":"3",
        "parstK":"2",

        "g_Na":"100.0* msiemens/cm2",
        "g_K":"200.0* msiemens/cm2",
        "g_L":"0.1* msiemens/cm2",

        "alpha_mV":"54.0",
        "beta_mV":"27.0",
        "alpha_hV":"50.0",
        "beta_hV":"27.0",

        "alpha_nV":"52.0",
        "beta_nV":"57.0",

        "T0": "291.15 * kelvin",

        "Q10_gL":"1.2",
        "Q10_gNa":"1.2",
        "Q10_gK":"1.2",
        "Q10_gPump":"1.2",
        "Q10_n":"2.0",
        "Q10_m":"2.0",
        "Q10_h":"2.0",

        "I_max":"40.0*uA/cm2",
        "Na_sens0":"20.0*mM",
        "Na_sens":"0.1/mM",
        "i_p0":"-2.59284862*uA/cm2",
        "Na_o":"140.0*mM",
        
        "r_fast_vs_ion":"0.001*second/ms"
        
    },
    "source": "Miles Traub model ++ Na sens Pump, with dynamic concentrations"
}