# Model Mathematics

### Component: Y

$ddtime Y = k1 ⁢ C1 ⁢ P K + P ⁢ C - k2 ⁢ C2 ⁢ 1.0 - P K + P ⁢ Y + ky ⁢ Y$

### Component: X

$ddtime X = k2 ⁢ C2 ⁢ 1.0 - P K + P ⁢ Y - k3 ⁢ X$

### Component: P

$ddtime P = 10.0 - k4 ⁢ P if time ≥ 0.0 ∧ time < 6.0 - k4 ⁢ P if time ≥ 6.0 ∧ time < 12.0 10.0 - k4 ⁢ P if time ≥ 12.0 ∧ time < 18.0 - k4 ⁢ P if time ≥ 18.0 ∧ time < 24.0 10.0 - k4 ⁢ P if time ≥ 24.0 ∧ time < 30.0 - k4 ⁢ P if time ≥ 30.0 ∧ time < 36.0 10.0 - k4 ⁢ P if time ≥ 36.0 ∧ time < 42.0 - k4 ⁢ P if time ≥ 42.0 ∧ time < 48.0 10.0 - k4 ⁢ P if time ≥ 48.0 ∧ time < 54.0 - k4 ⁢ P if time ≥ 54.0 ∧ time < 60.0 10.0 - k4 ⁢ P if time ≥ 60.0 ∧ time < 66.0 - k4 ⁢ P if time ≥ 66.0 ∧ time < 72.0 10.0 - k4 ⁢ P if time ≥ 72.0 ∧ time < 78.0 - k4 ⁢ P if time ≥ 78.0 ∧ time < 84.0 10.0 - k4 ⁢ P if time ≥ 84.0 ∧ time < 90.0 - k4 ⁢ P if time ≥ 90.0 ∧ time < 96.0$

### Component: Z

$ddtime Z = k5 ⁢ C3 ⁢ IL6 K2 + IL6 - k6 ⁢ Z$

### Component: IL6

$ddtime IL6 = 0.1 ⁢ X - 10.0 ⁢ IL6$

### Component: model_parameters

Source
Derived from workspace Kroll, 2000 at changeset 58a3629c25fb.
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