# Model Mathematics

### Component: GnRH

$GnRH = 0.5 if time ≥ 0.0 ∧ time < 0.0666667 0.0 if time ≥ 0.0666667 ∧ time < 0.4 0.5 if time ≥ 0.4 ∧ time < 0.4666667 0.0 if time ≥ 0.4666667 ∧ time < 2.4666667 0.5 if time ≥ 2.4666667 ∧ time < 2.533333 0.0 if time ≥ 2.533333 ∧ time < 2.6166667 0.5 if time ≥ 2.6166667 ∧ time < 2.6833333 0.0 if time ≥ 2.6833333 ∧ time < 4.6833333 0.5 if time ≥ 4.6833333 ∧ time < 4.75 0.0 if time ≥ 4.75 ∧ time < 4.916667 0.5 if time ≥ 4.916667 ∧ time < 4.983333 0.0 if time ≥ 4.983333 ∧ time < 6.983333 0.5 if time ≥ 6.983333 ∧ time < 7.066667 0.0 if time ≥ 7.066667 ∧ time < 7.733333 0.5 if time ≥ 7.733333 ∧ time < 7.8 0.0 if time ≥ 7.8 ∧ time < 9.8$

### Component: F

$ddtime F = kdf ⁢ D - kfb ⁢ F ⁢ GnRH$

### Component: D

$ddtime D = kbd ⁢ B - kdf ⁢ D$

### Component: B

$ddtime B = kfb ⁢ F ⁢ GnRH - kbd ⁢ B$

### Component: R

$ddtime R = s - a1 + a2 ⁢ B ⁢ R$

### Component: C

$ddtime C = a1 + a2 ⁢ B ⁢ R$

### Component: model_parameters

Source
Derived from workspace Heinze, Keener, Midgley, 1998 at changeset d7ff63605bdb.
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This work is licensed under a Creative Commons Attribution 3.0 Unported License.