Model Mathematics

T = 1.0 - TCa

\frac{d}{d time} (TCa) = kon Ca T - (koff TCa)

N0 = 1.0 - (P0 + N1 + P1)

\frac{d}{d time} (N1) = k1_P1 - (g10 N1 + k1 N1)

\frac{d}{d time} (P0) = k1 N0 + g10 P1 - (k1_P0 + f01 P0)

\frac{d}{d time} (P1) = k1 N1 + f01 P0 + g21 P2 - (k1_P1 + g10 P1 + f12 P1)

\frac{d}{d time} (P2) = f12 P1 + g32 P3 - (f23 P2 + g21 P2)

\frac{d}{d time} (P3) = f23 P2 - (g32 P3)

f01 = 3.0 f

f12 = 10.0 f

f23 = 7.0 f

gSL = g (2.0 - ({SL_norm}^{1.6}))

g10 = 1.0 gSL

g21 = 2.0 gSL

g32 = 3.0 gSL

k1 = k1_{(\frac{TCa}{K_1_2})}^{N}

K_1_2 = \frac{1.0}{1.0 + \frac{K_Ca}{1.5 - (SL_norm 1.0)}}

N = 5.0 + 3.0 SL_norm

SL_norm = \frac{SL - 1.7}{2.3 - 1.7}

F = \frac{alpha (P1 + N1 + 2.0 P2 + 3.0 P3)}{Fmax} Fmax = P1_max + 2.0 P2_max + 3.0 P3_max P1_max = \frac{f01 g21 g32}{g10 g21 g32 + f01 g21 g32 + f01 f12 g32 + f01 f12 f23} P2_max = \frac{f01 f12 g32}{g10 g21 g32 + f01 g21 g32 + f01 f12 g32 + f01 f12 f23} P3_max = \frac{f01 f12 f23}{g10 g21 g32 + f01 g21 g32 + f01 f12 g32 + f01 f12 f23}