Model Mathematics

T_Cai = \frac{Ca_i}{kdcai} T_Casr = \frac{Ca_sr}{kdcasr} T_H1 = \frac{H_i}{kdh1} T_Hi = \frac{{H_i}^{n}}{kdhi} T_Hsr = \frac{{H_i}^{n}}{kdhsr} T_H = \frac{H_i}{kdh} a_p1 = k_p1 ATP a_p2 = \frac{k_p2 {T_Cai}^{2}}{{T_Cai}^{2} + {T_Cai}^{2} T_Hi + T_Hi (1 + T_H1)} a_p3 = \frac{k_p3 T_Hsr}{{T_Casr}^{2} T_H + T_H + T_Hsr (1 + T_H)} a_m1 = \frac{k_m1 T_Hi}{{T_Cai}^{2} + {T_Cai}^{2} T_Hi + T_Hi (1 + T_H1)} a_m2 = \frac{k_m2 ADP {T_Casr}^{2} T_H}{{T_Casr}^{2} T_H + T_H + T_Hsr (1 + T_H)} a_m3 = k_m3 P_i s1 = a_p2 a_p3 + a_m1 a_p3 + a_m1 a_m2 s2 = a_p1 a_p3 + a_m2 a_p1 + a_m2 a_m3 s3 = a_p1 a_p2 + a_m3 a_m1 + a_m3 a_p2 v_cycle = \frac{a_p1 a_p2 a_p3 - (a_m1 a_m2 a_m3)}{s1 + s2 + s3} \frac{d}{d time} (Ca_sr) = 1.0