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#define _USE_MATH_DEFINES #include "math.h" #include
#include
#include
#include
#include
#define N 3 #define Ca f[0] #define IP3 f[1] #define z f[2] double f[N]; double c_0 = 2; double c_1 = 0.185; double v_1 = 6; double v_2 = 0.11; double v_3 = 2.2; double v_5 = 0.025; double v_6 = 0.2; double k_1 = 0.5; double k_2 = 1; double k_3 = 0.1; double k_4 = 1.1; double a_2 = 0.14; double d_1 = 0.13; double d_2 = 1.049; double d_3 = 0.9434; double d_5 = 0.082; double alpha_G = 25; double beta_G = 500; double alpha = 0.8; double tau_IP3 = 7.143; double IP3_star = 0.16; //double d_Ca = 0.001; //double d_IP3 = 0.12; double v_4; int RandomI(int min, int max) { return ((double)rand() / (RAND_MAX - 1)) * (max - min) + min; } double RandomD(double min, double max) { return ((double)rand() / RAND_MAX) * (max - min) + min; } double UllahJung(int i, double f[N]) { switch (i) { case 0: // Ca return ( c_1 * v_1 * pow(IP3, 3) * pow(Ca, 3) * pow(z, 3) * (c_0 / c_1 - (1 + 1 / c_1) * Ca) / pow( ((IP3 + d_1) * (Ca + d_5)), 3) ) - ( v_3 * pow(Ca, 2) / (pow(k_3, 2) + pow(Ca, 2)) ) + ( c_1 * v_2 * ( c_0 / c_1 - (1 + 1 / c_1) * Ca ) ) + ( v_5 + v_6 * pow(IP3, 2) / (pow(k_2, 2) + pow(IP3, 2)) ) - k_1 * Ca; case 1: // IP3 return ( IP3_star - IP3 ) / tau_IP3 + v_4 * (Ca + (1 - alpha) * k_4) / (Ca + k_4); case 2: // z return a_2 * ( d_2 * ((IP3 + d_1) / (IP3 + d_3)) * (1 - z) - Ca * z ); } return 0; } void RungeKutta(double dt, double f[N], double f_next[N]) { double k[N][4]; // k1 for (int i = 0; i < N; i++) k[i][0] = UllahJung(i, f) * dt; double phi_k1[N]; for (int i = 0; i < N; i++) phi_k1[i] = f[i] + k[i][0] / 2; // k2 for (int i = 0; i < N; i++) k[i][1] = UllahJung(i, phi_k1) * dt; double phi_k2[N]; for (int i = 0; i < N; i++) phi_k2[i] = f[i] + k[i][1] / 2; // k3 for (int i = 0; i < N; i++) k[i][2] = UllahJung(i, phi_k2) * dt; double phi_k3[N]; for (int i = 0; i < N; i++) phi_k3[i] = f[i] + k[i][2] / 2; // k4 for (int i = 0; i < N; i++) k[i][3] = UllahJung(i, phi_k3) * dt; for (int i = 0; i < N; i++) f_next[i] = f[i] + (k[i][0] + 2 * k[i][1] + 2 * k[i][2] + k[i][3]) / 6; } void CopyArray(double source[N], double target[N]) { for (int i = 0; i < N; i++) target[i] = source[i]; } bool Approximately(double a, double b) { if (a < 0) a = -a; if (b < 0) b = -b; return a - b <= 0.000001; } int main(int argc, char *argv[]) { sscanf(argv[1], "%lf", &v_4); FILE *fp0; srand(time(NULL)); double Ca_0 = 0.07; double IP3_0 = 0.16; double z_0 = 0.67; //Initial values at t = 0 f[0] = Ca_0; f[1] = IP3_0; f[2] = z_0; /*fp0 = fopen("last_values.txt", "r"); for (int i = 0; i < N; i++) { fscanf(fp0, "%lf", &f[i]); } fclose(fp0);*/ const double t_start = 0; const double t_max = 180; // sec const double dt = 0.00001; double t = t_start; fp0 = fopen("v_4.txt", "w+"); fprintf(fp0, "%f\n", v_4); fclose(fp0); fp0 = fopen("results_Ca_IP3_z.txt", "w+"); //setlocale(LC_NUMERIC, "French_Canada.1252"); clock_t start_rk4, end_rk4; start_rk4 = clock(); int lastPercent = -1; while (t < t_max || Approximately(t, t_max)) { fprintf(fp0, "%f\t", t); for (int i = 0; i < N; i++) { fprintf(fp0, i == N - 1 ? "%f" : "%f\t", f[i]); } fprintf(fp0, "\n"); double f_next[N]; RungeKutta(dt, f, f_next); CopyArray(f_next, f); t += dt; int percent = (int)(100 * (t - t_start) / (t_max - t_start)); if (percent != lastPercent) { printf("Progress: %d%%\n", percent); lastPercent = percent; } } end_rk4 = clock(); double extime_rk4 = (double)(end_rk4 - start_rk4) / CLOCKS_PER_SEC; int minutes = (int)extime_rk4 / 60; int seconds = (int)extime_rk4 % 60; printf("\nExecution time is: %d minutes %d seconds\n ", minutes, seconds); fclose(fp0); fp0 = fopen("time_exec.txt", "w+"); fprintf(fp0, "%f\n", extime_rk4); fclose(fp0); fp0 = fopen("last_values.txt", "w+"); for (int i = 0; i < N; i++) { fprintf(fp0, i == N - 1 ? "%f" : "%f\t", f[i]); } fclose(fp0); }
Mark as private (unlisted)
for 30 minutes
for 6 hours
for 1 day
for 1 week
for 1 month
for 1 year
everlasting (like CCCP)