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OriginalTest_CRN98.cpp
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OriginalTest_CRN98.cpp
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#include <vector>
#include "SharedArray.hpp"
#include "VmathArray.hpp"
#include "Assertions.hpp"
#include "CellModelConstants_CRN98.hpp"
int nq;
unsigned int n_var;
std::vector<int> gates;
std::vector<int> concentrations;
Array<OneD, Array<OneD, NekDouble> > cellSol;
Array<OneD, Array<OneD, NekDouble> > wsp;
Array<OneD, Array<OneD, NekDouble> > gates_tau;
extern NekDouble lastTime;
extern unsigned int substeps;
void init_test(int n)
{
gates = std::vector<int>();
concentrations = std::vector<int>();
gates.push_back(1);
gates.push_back(2);
gates.push_back(3);
gates.push_back(4);
gates.push_back(5);
gates.push_back(6);
gates.push_back(7);
gates.push_back(8);
gates.push_back(9);
gates.push_back(10);
gates.push_back(11);
gates.push_back(12);
gates.push_back(13);
gates.push_back(14);
gates.push_back(15);
concentrations.push_back(16);
concentrations.push_back(17);
concentrations.push_back(18);
concentrations.push_back(19);
concentrations.push_back(20);
n_var = 21;
nq = n;
cellSol = Array<OneD, Array<OneD, NekDouble> > (n_var);
wsp = Array<OneD, Array<OneD, NekDouble> > (n_var);
gates_tau = Array<OneD, Array<OneD, NekDouble> > (gates.size());
for (unsigned int i = 0; i < n_var; ++i) {
cellSol[i] = Array<OneD, NekDouble> (nq);
wsp[i] = Array<OneD, NekDouble> (nq);
}
for (unsigned int i = 0; i < gates.size(); ++i) {
gates_tau[i] = Array<OneD, NekDouble> (nq);
}
Vmath::Fill(nq, -81.0, cellSol[0], 1);
Vmath::Fill(nq, 2.908e-03, cellSol[1], 1);
Vmath::Fill(nq, 9.649e-01, cellSol[2], 1);
Vmath::Fill(nq, 9.775e-01, cellSol[3], 1);
Vmath::Fill(nq, 3.043e-02, cellSol[4], 1);
Vmath::Fill(nq, 9.992e-01, cellSol[5], 1);
Vmath::Fill(nq, 4.966e-03, cellSol[6], 1);
Vmath::Fill(nq, 9.986e-01, cellSol[7], 1);
Vmath::Fill(nq, 3.296e-05, cellSol[8], 1);
Vmath::Fill(nq, 1.869e-02, cellSol[9], 1);
Vmath::Fill(nq, 1.367e-04, cellSol[10], 1);
Vmath::Fill(nq, 9.996e-01, cellSol[11], 1);
Vmath::Fill(nq, 7.755e-01, cellSol[12], 1);
Vmath::Fill(nq, 2.35e-112, cellSol[13], 1);
Vmath::Fill(nq, 1.0, cellSol[14], 1);
Vmath::Fill(nq, 0.9992, cellSol[15], 1);
Vmath::Fill(nq, 1.117e+01, cellSol[16], 1);
Vmath::Fill(nq, 1.013e-04, cellSol[17], 1);
Vmath::Fill(nq, 1.39e+02, cellSol[18], 1);
Vmath::Fill(nq, 1.488, cellSol[19], 1);
Vmath::Fill(nq, 1.488, cellSol[20], 1);
}
void v_Update(const Array<OneD, const Array<OneD, NekDouble> >& inarray,
Array<OneD, Array<OneD, NekDouble> >& outarray,
const NekDouble)
{
ASSERTL0(inarray.get() != outarray.get(),
"Must have different arrays for input and output.");
int n = nq;
int i = 0;
NekDouble alpha, beta;
Vmath::Zero(n, outarray[0], 1);
Array<OneD, NekDouble> &tmp = outarray[11];
Array<OneD, NekDouble> &tmp2 = outarray[12];
// E_Na
Array<OneD, NekDouble> &tmp_E_na = outarray[14];
Vmath::Sdiv(n, Na_o, inarray[16], 1, tmp_E_na, 1);
Vmath::Vlog(n, tmp_E_na, 1, tmp_E_na, 1);
Vmath::Smul(n, R*T/F, tmp_E_na, 1, tmp_E_na, 1);
// Sodium I_Na
Array<OneD, NekDouble> &tmp_I_Na = outarray[15];
Vmath::Vsub(n, inarray[0], 1, tmp_E_na, 1, tmp_I_Na, 1);
Vmath::Vmul(n, inarray[1], 1, tmp_I_Na, 1, tmp_I_Na, 1);
Vmath::Vmul(n, inarray[1], 1, tmp_I_Na, 1, tmp_I_Na, 1);
Vmath::Vmul(n, inarray[1], 1, tmp_I_Na, 1, tmp_I_Na, 1);
Vmath::Vmul(n, inarray[2], 1, tmp_I_Na, 1, tmp_I_Na, 1);
Vmath::Vmul(n, inarray[3], 1, tmp_I_Na, 1, tmp_I_Na, 1);
Vmath::Smul(n, C_m*g_Na, tmp_I_Na, 1, tmp_I_Na, 1);
Vmath::Vsub(n, outarray[0], 1, tmp_I_Na, 1, outarray[0], 1);
Vmath::Smul(n, -1.0, tmp_I_Na, 1, outarray[16], 1);
// Background current, sodium
Array<OneD, NekDouble> &tmp_I_b_Na = outarray[15];
Vmath::Vsub(n, inarray[0], 1, tmp_E_na, 1, tmp_I_b_Na, 1);
Vmath::Smul(n, C_m*g_b_Na, tmp_I_b_Na, 1, tmp_I_b_Na, 1);
Vmath::Vsub(n, outarray[0], 1, tmp_I_b_Na, 1, outarray[0], 1);
Vmath::Vsub(n, outarray[16], 1, tmp_I_b_Na, 1, outarray[16], 1);
// V - E_K
Array<OneD, NekDouble> &tmp_V_E_k = outarray[14];
Vmath::Sdiv(n, K_o, inarray[18], 1, tmp_V_E_k, 1);
Vmath::Vlog(n, tmp_V_E_k, 1, tmp_V_E_k, 1);
Vmath::Smul(n, R*T/F, tmp_V_E_k, 1, tmp_V_E_k, 1);
Vmath::Vsub(n, inarray[0], 1, tmp_V_E_k, 1, tmp_V_E_k, 1);
// Potassium I_K1
Array<OneD, NekDouble> &tmp_I_K1 = outarray[15];
Vmath::Sadd(n, 80.0, inarray[0], 1, tmp_I_K1, 1);
Vmath::Smul(n, 0.07, tmp_I_K1, 1, tmp_I_K1, 1);
Vmath::Vexp(n, tmp_I_K1, 1, tmp_I_K1, 1);
Vmath::Sadd(n, 1.0, tmp_I_K1, 1, tmp_I_K1, 1);
Vmath::Vdiv(n, tmp_V_E_k, 1, tmp_I_K1, 1, tmp_I_K1, 1);
Vmath::Smul(n, C_m*g_K1, tmp_I_K1, 1, tmp_I_K1, 1);
Vmath::Vsub(n, outarray[0], 1, tmp_I_K1, 1, outarray[0], 1);
Vmath::Smul(n, -1.0, tmp_I_K1, 1, outarray[18], 1);
// Transient Outward K+ current
Array<OneD, NekDouble> &tmp_I_to = outarray[15];
Vmath::Vmul(n, inarray[5], 1, tmp_V_E_k, 1, tmp_I_to, 1);
Vmath::Vmul(n, inarray[4], 1, tmp_I_to, 1, tmp_I_to, 1);
Vmath::Vmul(n, inarray[4], 1, tmp_I_to, 1, tmp_I_to, 1);
Vmath::Vmul(n, inarray[4], 1, tmp_I_to, 1, tmp_I_to, 1);
Vmath::Smul(n, C_m*g_to, tmp_I_to, 1, tmp_I_to, 1);
Vmath::Vsub(n, outarray[0], 1, tmp_I_to, 1, outarray[0], 1);
Vmath::Vsub(n, outarray[18], 1, tmp_I_to, 1, outarray[18], 1);
// Ultrarapid Delayed rectifier K+ current
Array<OneD, NekDouble> &tmp_I_kur = outarray[15];
Vmath::Sadd(n, -15.0, inarray[0], 1, tmp_I_kur, 1);
Vmath::Smul(n, -1.0/13.0, tmp_I_kur, 1, tmp_I_kur, 1);
Vmath::Vexp(n, tmp_I_kur, 1, tmp_I_kur, 1);
Vmath::Sadd(n, 1.0, tmp_I_kur, 1, tmp_I_kur, 1);
Vmath::Sdiv(n, 0.05, tmp_I_kur, 1, tmp_I_kur, 1);
Vmath::Sadd(n, 0.005, tmp_I_kur, 1, tmp_I_kur, 1);
Vmath::Vmul(n, tmp_V_E_k, 1, tmp_I_kur, 1, tmp_I_kur, 1);
Vmath::Vmul(n, inarray[6], 1, tmp_I_kur, 1, tmp_I_kur, 1);
Vmath::Vmul(n, inarray[6], 1, tmp_I_kur, 1, tmp_I_kur, 1);
Vmath::Vmul(n, inarray[6], 1, tmp_I_kur, 1, tmp_I_kur, 1);
Vmath::Vmul(n, inarray[7], 1, tmp_I_kur, 1, tmp_I_kur, 1);
Vmath::Smul(n, C_m*g_Kur_scaling, tmp_I_kur, 1, tmp_I_kur, 1);
Vmath::Vsub(n, outarray[0], 1, tmp_I_kur, 1, outarray[0], 1);
Vmath::Vsub(n, outarray[18], 1, tmp_I_kur, 1, outarray[18], 1);
// Rapid delayed outward rectifier K+ current
Array<OneD, NekDouble> &tmp_I_Kr = outarray[15];
Vmath::Sadd(n, 15.0, inarray[0], 1, tmp_I_Kr, 1);
Vmath::Smul(n, 1.0/22.4, tmp_I_Kr, 1, tmp_I_Kr, 1);
Vmath::Vexp(n, tmp_I_Kr, 1, tmp_I_Kr, 1);
Vmath::Sadd(n, 1.0, tmp_I_Kr, 1, tmp_I_Kr, 1);
Vmath::Vdiv(n, tmp_V_E_k, 1, tmp_I_Kr, 1, tmp_I_Kr, 1);
Vmath::Vmul(n, inarray[8], 1, tmp_I_Kr, 1, tmp_I_Kr, 1);
Vmath::Smul(n, C_m*g_Kr, tmp_I_Kr, 1, tmp_I_Kr, 1);
Vmath::Vsub(n, outarray[0], 1, tmp_I_Kr, 1, outarray[0], 1);
Vmath::Vsub(n, outarray[18], 1, tmp_I_Kr, 1, outarray[18], 1);
// Slow delayed outward rectifier K+ Current
Array<OneD, NekDouble> &tmp_I_Ks = outarray[15];
Vmath::Vmul(n, inarray[9], 1, tmp_V_E_k, 1, tmp_I_Ks, 1);
Vmath::Vmul(n, inarray[9], 1, tmp_I_Ks, 1, tmp_I_Ks, 1);
Vmath::Smul(n, C_m*g_Ks, tmp_I_Ks, 1, tmp_I_Ks, 1);
Vmath::Vsub(n, outarray[0], 1, tmp_I_Ks, 1, outarray[0], 1);
Vmath::Vsub(n, outarray[18], 1, tmp_I_Ks, 1, outarray[18], 1);
// Background current, calcium
Array<OneD, NekDouble> &tmp_I_b_Ca = outarray[1];
Vmath::Sdiv(n, Ca_o, inarray[17], 1, tmp_I_b_Ca, 1);
Vmath::Vlog(n, tmp_I_b_Ca, 1, tmp_I_b_Ca, 1);
Vmath::Smul(n, 0.5*R*T/F, tmp_I_b_Ca, 1, tmp_I_b_Ca, 1);
Vmath::Vsub(n, inarray[0], 1, tmp_I_b_Ca, 1, tmp_I_b_Ca, 1);
Vmath::Smul(n, C_m*g_b_Ca, tmp_I_b_Ca, 1, tmp_I_b_Ca, 1);
Vmath::Vsub(n, outarray[0], 1, tmp_I_b_Ca, 1, outarray[0], 1);
// L-Type Ca2+ current
Array<OneD, NekDouble> &tmp_I_Ca_L = outarray[2];
Vmath::Sadd(n, -65.0, inarray[0], 1, tmp_I_Ca_L, 1);
Vmath::Vmul(n, inarray[10], 1, tmp_I_Ca_L, 1, tmp_I_Ca_L, 1);
Vmath::Vmul(n, inarray[11], 1, tmp_I_Ca_L, 1, tmp_I_Ca_L, 1);
Vmath::Vmul(n, inarray[12], 1, tmp_I_Ca_L, 1, tmp_I_Ca_L, 1);
Vmath::Smul(n, C_m*g_Ca_L, tmp_I_Ca_L, 1, tmp_I_Ca_L, 1);
Vmath::Vsub(n, outarray[0], 1, tmp_I_Ca_L, 1, outarray[0], 1);
// Na-K Pump Current
Array<OneD, NekDouble> &tmp_f_Na_k = outarray[14];
Vmath::Smul(n, -F/R/T, inarray[0], 1, tmp_f_Na_k, 1);
Vmath::Vexp(n, tmp_f_Na_k, 1, tmp, 1);
Vmath::Smul(n, 0.0365*sigma, tmp, 1, tmp, 1);
Vmath::Smul(n, -0.1*F/R/T, inarray[0], 1, tmp_f_Na_k, 1);
Vmath::Vexp(n, tmp_f_Na_k, 1, tmp_f_Na_k, 1);
Vmath::Smul(n, 0.1245, tmp_f_Na_k, 1, tmp_f_Na_k, 1);
Vmath::Vadd(n, tmp_f_Na_k, 1, tmp, 1, tmp_f_Na_k, 1);
Vmath::Sadd(n, 1.0, tmp_f_Na_k, 1, tmp_f_Na_k, 1);
Array<OneD, NekDouble> &tmp_I_Na_K = outarray[15];
Vmath::Sdiv(n, K_m_Na_i, inarray[16], 1, tmp_I_Na_K, 1);
Vmath::Vpow(n, tmp_I_Na_K, 1, 1.5, tmp_I_Na_K, 1);
Vmath::Sadd(n, 1.0, tmp_I_Na_K, 1, tmp_I_Na_K, 1);
Vmath::Vmul(n, tmp_f_Na_k, 1, tmp_I_Na_K, 1, tmp_I_Na_K, 1);
Vmath::Sdiv(n, C_m*I_Na_K_max*K_o/(K_o+K_i), tmp_I_Na_K, 1, tmp_I_Na_K, 1);
Vmath::Vsub(n, outarray[0], 1, tmp_I_Na_K, 1, outarray[0], 1);
Vmath::Svtvp(n, -3.0, tmp_I_Na_K, 1, outarray[16], 1, outarray[16], 1);
Vmath::Svtvp(n, 2.0, tmp_I_Na_K, 1, outarray[18], 1, outarray[18], 1);
// Na-Ca exchanger current
Array<OneD, NekDouble> &tmp_I_Na_Ca = outarray[3];
Vmath::Smul(n, (gamma_d-1)*F/R/T, inarray[0], 1, tmp, 1);
Vmath::Vexp(n, tmp, 1, tmp, 1);
Vmath::Smul(n, K_sat, tmp, 1, tmp_I_Na_Ca, 1);
Vmath::Sadd(n, 1.0, tmp_I_Na_Ca, 1, tmp_I_Na_Ca, 1);
Vmath::Smul(n, (K_m_Na*K_m_Na*K_m_Na + Na_o*Na_o*Na_o)*(K_m_Ca + Ca_o), tmp_I_Na_Ca, 1, tmp_I_Na_Ca, 1);
Vmath::Smul(n, Na_o*Na_o*Na_o, tmp, 1, tmp2, 1);
Vmath::Vmul(n, tmp2, 1, inarray[17], 1, tmp2, 1);
Vmath::Smul(n, gamma_d*F/R/T, inarray[0], 1, tmp, 1);
Vmath::Vexp(n, tmp, 1, tmp, 1);
Vmath::Vmul(n, inarray[16], 1, tmp, 1, tmp, 1);
Vmath::Vmul(n, inarray[16], 1, tmp, 1, tmp, 1);
Vmath::Vmul(n, inarray[16], 1, tmp, 1, tmp, 1);
Vmath::Svtvm(n, Ca_o, tmp, 1, tmp2, 1, tmp, 1);
Vmath::Smul(n, C_m*I_NaCa_max, tmp, 1, tmp, 1);
Vmath::Vdiv(n, tmp, 1, tmp_I_Na_Ca, 1, tmp_I_Na_Ca, 1);
Vmath::Vsub(n, outarray[0], 1, tmp_I_Na_Ca, 1, outarray[0], 1);
Vmath::Svtvp(n, -3.0, tmp_I_Na_Ca, 1, outarray[16], 1, outarray[16], 1);
// Calcium Pump current
Array<OneD, NekDouble> &tmp_I_p_Ca = outarray[4];
Vmath::Sadd(n, 0.0005, inarray[17], 1, tmp_I_p_Ca, 1);
Vmath::Vdiv(n, inarray[17], 1, tmp_I_p_Ca, 1, tmp_I_p_Ca, 1);
Vmath::Smul(n, C_m*I_p_Ca_max, tmp_I_p_Ca, 1, tmp_I_p_Ca, 1);
Vmath::Vsub(n, outarray[0], 1, tmp_I_p_Ca, 1, outarray[0], 1);
// Scale currents by capacitance
Vmath::Smul(n, 1.0/C_m, outarray[0], 1, outarray[0], 1);
// Scale sodium and potassium by FV_i
Vmath::Smul(n, 1.0/F/V_i, outarray[16], 1, outarray[16], 1);
Vmath::Smul(n, 1.0/F/V_i, outarray[18], 1, outarray[18], 1);
// I_tr
Array<OneD, NekDouble> &tmp_I_tr = outarray[5];
Vmath::Vsub(n, inarray[20], 1, inarray[19], 1, tmp_I_tr, 1);
Vmath::Smul(n, 1.0/tau_tr, tmp_I_tr, 1, tmp_I_tr, 1);
// I_up_leak
Array<OneD, NekDouble> &tmp_I_up_leak = outarray[6];
Vmath::Smul(n, NSR_I_up_max/NSR_I_Ca_max, inarray[20], 1, tmp_I_up_leak, 1);
// I_up
Array<OneD, NekDouble> &tmp_I_up = outarray[7];
Vmath::Sdiv(n, NSR_K_up, inarray[17], 1, tmp_I_up, 1);
Vmath::Sadd(n, 1.0, tmp_I_up, 1, tmp_I_up, 1);
Vmath::Sdiv(n, NSR_I_up_max, tmp_I_up, 1, tmp_I_up, 1);
// I_rel
Array<OneD, NekDouble> &tmp_I_rel = outarray[8];
Vmath::Vsub(n, inarray[19], 1, inarray[17], 1, tmp_I_rel, 1);
Vmath::Vmul(n, tmp_I_rel, 1, inarray[13], 1, tmp_I_rel, 1);
Vmath::Vmul(n, tmp_I_rel, 1, inarray[13], 1, tmp_I_rel, 1);
Vmath::Vmul(n, tmp_I_rel, 1, inarray[14], 1, tmp_I_rel, 1);
Vmath::Vmul(n, tmp_I_rel, 1, inarray[15], 1, tmp_I_rel, 1);
Vmath::Smul(n, JSR_K_rel, tmp_I_rel, 1, tmp_I_rel, 1);
// B1
Array<OneD, NekDouble> &tmp_B1 = outarray[9];
Vmath::Svtvm(n, 2.0, tmp_I_Na_Ca, 1, tmp_I_p_Ca, 1, tmp_B1, 1);
Vmath::Vsub(n, tmp_B1, 1, tmp_I_Ca_L, 1, tmp_B1, 1);
Vmath::Vsub(n, tmp_B1, 1, tmp_I_b_Ca, 1, tmp_B1, 1);
Vmath::Smul(n, 0.5/F, tmp_B1, 1, tmp_B1, 1);
Vmath::Svtvp(n, JSR_V_up, tmp_I_up_leak, 1, tmp_B1, 1, tmp_B1, 1);
Vmath::Svtvp(n, -JSR_V_up, tmp_I_up, 1, tmp_B1, 1, tmp_B1, 1);
Vmath::Svtvp(n, JSR_V_rel, tmp_I_rel, 1, tmp_B1, 1, tmp_B1, 1);
Vmath::Smul(n, 1.0/V_i, tmp_B1, 1, tmp_B1, 1);
// B2
Array<OneD, NekDouble> &tmp_B2 = outarray[10];
Vmath::Sadd(n, Km_Cmdn, inarray[17], 1, tmp_B2, 1);
Vmath::Vmul(n, tmp_B2, 1, tmp_B2, 1, tmp_B2, 1);
Vmath::Sdiv(n, Cmdn_max*Km_Cmdn, tmp_B2, 1, tmp_B2, 1);
Vmath::Sadd(n, Km_Trpn, inarray[17], 1, tmp, 1);
Vmath::Vmul(n, tmp, 1, tmp, 1, tmp, 1);
Vmath::Sdiv(n, Trpn_max*Km_Trpn, tmp, 1, tmp, 1);
Vmath::Vadd(n, tmp, 1, tmp_B2, 1, tmp_B2, 1);
Vmath::Sadd(n, 1.0, tmp_B2, 1, tmp_B2, 1);
// Calcium concentration (18)
Vmath::Vdiv(n, tmp_B1, 1, tmp_B2, 1, outarray[17], 1);
// Calcium up (21)
Vmath::Vsub(n, tmp_I_up, 1, tmp_I_up_leak, 1, outarray[20], 1);
Vmath::Svtvp(n, -JSR_V_rel/JSR_V_up, tmp_I_tr, 1, outarray[20], 1, outarray[20], 1);
// Calcium rel (20)
Vmath::Vsub(n, tmp_I_tr, 1, tmp_I_rel, 1, tmp, 1);
Vmath::Sadd(n, Km_Csqn, inarray[19], 1, outarray[19], 1);
Vmath::Vmul(n, outarray[19], 1, outarray[19], 1, outarray[19], 1);
Vmath::Sdiv(n, Csqn_max*Km_Csqn, outarray[19], 1, outarray[19], 1);
Vmath::Sadd(n, 1.0, outarray[19], 1, outarray[19], 1);
Vmath::Vdiv(n, tmp, 1, outarray[19], 1, outarray[19], 1);
// Process gating variables
const NekDouble* v;
const NekDouble* x;
NekDouble* x_tau;
NekDouble* x_new;
// m
for (i = 0, v = &inarray[0][0], x = &inarray[1][0], x_new = &outarray[1][0], x_tau = &gates_tau[0][0];
i < n; ++i, ++v, ++x, ++x_new, ++x_tau)
{
alpha = (*v == (-47.13)) ? 3.2 : (0.32*(*v+47.13))/(1.0-exp((-0.1)*(*v + 47.13)));
beta = 0.08*exp(-(*v)/11.0);
*x_tau = 1.0/(alpha + beta);
*x_new = alpha*(*x_tau);
}
// h
for (i = 0, v = &inarray[0][0], x = &inarray[2][0], x_new = &outarray[2][0], x_tau = &gates_tau[1][0];
i < n; ++i, ++v, ++x, ++x_new, ++x_tau)
{
alpha = (*v >= -40.0) ? 0.0 : 0.135*exp(-((*v)+80.0)/6.8);
beta = (*v >= -40.0) ? 1.0/(0.13*(1.0+exp(-(*v + 10.66)/11.1)))
: 3.56*exp(0.079*(*v))+310000.0*exp(0.35*(*v));
*x_tau = 1.0/(alpha + beta);
*x_new = alpha*(*x_tau);
}
// j
for (i = 0, v = &inarray[0][0], x = &inarray[3][0], x_new = &outarray[3][0], x_tau = &gates_tau[2][0];
i < n; ++i, ++v, ++x, ++x_new, ++x_tau)
{
alpha = (*v >= -40.0) ? 0.0
: (-127140.0*exp(0.2444*(*v))-3.474e-05*exp(-0.04391*(*v)))*(((*v)+37.78)/(1.0+exp(0.311*((*v)+79.23))));
beta = (*v >= -40.0) ? (0.3*exp(-2.535e-07*(*v))/(1.0+exp(-0.1*(*v+32.0))))
: 0.1212*exp(-0.01052*(*v))/(1.0+exp(-0.1378*(*v+40.14)));
*x_tau = 1.0/(alpha + beta);
*x_new = alpha*(*x_tau);
}
// oa
for (i = 0, v = &inarray[0][0], x = &inarray[4][0], x_new = &outarray[4][0], x_tau = &gates_tau[3][0];
i < n; ++i, ++v, ++x, ++x_new, ++x_tau)
{
alpha = 0.65/(exp(-(*v+10.0)/8.5) + exp(-(*v-30.0)/59.0));
beta = 0.65/(2.5 + exp((*v+82.0)/17.0));
*x_tau = 1.0/K_Q10/(alpha + beta);
*x_new = (1.0/(1.0+exp(-(*v+20.47)/17.54)));
}
// oi
for (i = 0, v = &inarray[0][0], x = &inarray[5][0], x_new = &outarray[5][0], x_tau = &gates_tau[4][0];
i < n; ++i, ++v, ++x, ++x_new, ++x_tau)
{
alpha = 1.0/(18.53 + exp((*v+113.7)/10.95));
beta = 1.0/(35.56 + exp(-(*v+1.26)/7.44));
*x_tau = 1.0/K_Q10/(alpha + beta);
*x_new = (1.0/(1.0+exp((*v+43.1)/5.3)));
}
// ua
for (i = 0, v = &inarray[0][0], x = &inarray[6][0], x_new = &outarray[6][0], x_tau = &gates_tau[5][0];
i < n; ++i, ++v, ++x, ++x_new, ++x_tau)
{
alpha = 0.65/(exp(-(*v+10.0)/8.5)+exp(-(*v-30.0)/59.0));
beta = 0.65/(2.5+exp((*v+82.0)/17.0));
*x_tau = 1.0/K_Q10/(alpha + beta);
*x_new = 1.0/(1.0+exp(-(*v+30.3)/9.6));
}
// ui
for (i = 0, v = &inarray[0][0], x = &inarray[7][0], x_new = &outarray[7][0], x_tau = &gates_tau[6][0];
i < n; ++i, ++v, ++x, ++x_new, ++x_tau)
{
alpha = 1.0/(21.0 + exp(-(*v-185.0)/28.0));
beta = exp((*v-158.0)/16.0);
*x_tau = 1.0/K_Q10/(alpha + beta);
*x_new = 1.0/(1.0+exp((*v-99.45)/27.48));
}
// xr
for (i = 0, v = &inarray[0][0], x = &inarray[8][0], x_new = &outarray[8][0], x_tau = &gates_tau[7][0];
i < n; ++i, ++v, ++x, ++x_new, ++x_tau)
{
alpha = 0.0003*(*v+14.1)/(1-exp(-(*v+14.1)/5.0));
beta = 7.3898e-5*(*v-3.3328)/(exp((*v-3.3328)/5.1237)-1.0);
*x_tau = 1.0/(alpha + beta);
*x_new = 1.0/(1+exp(-(*v+14.1)/6.5));
}
// xs
for (i = 0, v = &inarray[0][0], x = &inarray[9][0], x_new = &outarray[9][0], x_tau = &gates_tau[8][0];
i < n; ++i, ++v, ++x, ++x_new, ++x_tau)
{
alpha = 4e-5*(*v-19.9)/(1.0-exp(-(*v-19.9)/17.0));
beta = 3.5e-5*(*v-19.9)/(exp((*v-19.9)/9.0)-1.0);
*x_tau = 0.5/(alpha + beta);
*x_new = 1.0/sqrt(1.0+exp(-(*v-19.9)/12.7));
}
// d
for (i = 0, v = &inarray[0][0], x = &inarray[10][0], x_new = &outarray[10][0], x_tau = &gates_tau[9][0];
i < n; ++i, ++v, ++x, ++x_new, ++x_tau)
{
*x_tau = (1-exp(-(*v+10.0)/6.24))/(0.035*(*v+10.0)*(1+exp(-(*v+10.0)/6.24)));
*x_new = 1.0/(1.0 + exp(-(*v+10)/8.0));
}
// f
for (i = 0, v = &inarray[0][0], x = &inarray[11][0], x_new = &outarray[11][0], x_tau = &gates_tau[10][0];
i < n; ++i, ++v, ++x, ++x_new, ++x_tau)
{
//alpha = 1.0/(1.0 + exp((*v+28.0)/6.9));
*x_tau = 9.0/(0.0197*exp(-0.0337*0.0337*(*v+10.0)*(*v+10.0))+0.02);
*x_new = exp((-(*v + 28.0)) / 6.9) / (1.0 + exp((-(*v + 28.0)) / 6.9));
}
// f_Ca
for (i = 0, v = &inarray[0][0], x = &inarray[12][0], x_new = &outarray[12][0], x_tau = &gates_tau[11][0];
i < n; ++i, ++v, ++x, ++x_new, ++x_tau)
{
*x_tau = 2.0;
*x_new = 1.0/(1.0+inarray[17][i]/0.00035);
}
Array<OneD, NekDouble> &tmp_Fn = outarray[15];
Vmath::Svtsvtp(n, 0.5*5e-13/F, tmp_I_Ca_L, 1, -0.2*5e-13/F, tmp_I_Na_Ca, 1, tmp_Fn, 1);
Vmath::Svtvm(n, 1e-12*JSR_V_rel, tmp_I_rel, 1, tmp_Fn, 1, tmp_Fn, 1);
// u
for (i = 0, v = &tmp_Fn[0], x = &inarray[13][0], x_new = &outarray[13][0], x_tau = &gates_tau[12][0];
i < n; ++i, ++v, ++x, ++x_new, ++x_tau)
{
*x_tau = 8.0;
*x_new = 1.0/(1.0 + exp(-(*v - 3.4175e-13)/1.367e-15));
}
// v
for (i = 0, v = &tmp_Fn[0], x = &inarray[14][0], x_new = &outarray[14][0], x_tau = &gates_tau[13][0];
i < n; ++i, ++v, ++x, ++x_new, ++x_tau)
{
*x_tau = 1.91 + 2.09/(1.0+exp(-(*v - 3.4175e-13)/13.67e-16));
*x_new = 1.0 - 1.0/(1.0 + exp(-(*v - 6.835e-14)/13.67e-16));
}
// w
for (i = 0, v = &inarray[0][0], x = &inarray[15][0], x_new = &outarray[15][0], x_tau = &gates_tau[14][0];
i < n; ++i, ++v, ++x, ++x_new, ++x_tau)
{
*x_tau = 6.0*(1.0-exp(-(*v-7.9)/5.0))/(1.0+0.3*exp(-(*v-7.9)/5.0))/(*v-7.9);
*x_new = 1.0 - 1.0/(1.0 + exp(-(*v - 40.0)/17.0));
}
}