# Model Mathematics

### Component: T

$T = 1.0 - TCa$

### Component: TCa

$ddtime TCa = kon ⁢ Ca ⁢ T - koff_ ⁢ TCa$

### Component: N0

$N0 = 1.0 - P0 + N1 + P1$

### Component: N1

$ddtime N1 = k1_ ⁢ P1 - g10 ⁢ N1 + k1 ⁢ N1$

### Component: P0

$ddtime P0 = k1 ⁢ N0 + g10 ⁢ P1 - k1_ ⁢ P0 + f01 ⁢ P0$

### Component: P1

$ddtime P1 = k1 ⁢ N1 + f01 ⁢ P0 + g21 ⁢ P2 - k1_ ⁢ P1 + g10 ⁢ P1 + f12 ⁢ P1$

### Component: P2

$ddtime P2 = f12 ⁢ P1 + g32 ⁢ P3 - f23 ⁢ P2 + g21 ⁢ P2$

### Component: P3

$ddtime P3 = f23 ⁢ P2 - g32 ⁢ P3$

### Component: constants

$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$$k1 = k1_ ⁢ TCa K_1_2 N$$K_1_2 = 1.0 1.0 + K_Ca 1.8 - SL_norm ⁢ 1.0$$N = 2.6 + 1.0 ⁢ SL_norm$$SL_norm = SL - 1.7 2.3 - 1.7$$koff_ = koff ⁢ 1.0 - 0.75 ⁢ F$

### Component: force

$F = alpha ⁢ P1 + N1 + 2.0 ⁢ P2 + 3.0 ⁢ P3 Fmax Fmax = P1_max + 2.0 ⁢ P2_max + 3.0 ⁢ P3_max P1_max = f01 ⁢ g21 ⁢ g32 g10 ⁢ g21 ⁢ g32 + f01 ⁢ g21 ⁢ g32 + f01 ⁢ f12 ⁢ g32 + f01 ⁢ f12 ⁢ f23 P2_max = f01 ⁢ f12 ⁢ g32 g10 ⁢ g21 ⁢ g32 + f01 ⁢ g21 ⁢ g32 + f01 ⁢ f12 ⁢ g32 + f01 ⁢ f12 ⁢ f23 P3_max = f01 ⁢ f12 ⁢ f23 g10 ⁢ g21 ⁢ g32 + f01 ⁢ g21 ⁢ g32 + f01 ⁢ f12 ⁢ g32 + f01 ⁢ f12 ⁢ f23$
Source
Derived from workspace Rice, Winslow, Hunter, 1999 at changeset 1403ca54f018.
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