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Model Mathematics

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Component: environment

Component: phi_I

\frac{d}{d time} (phi_I) = alpha K_T + k1 k2 phi_I (1.0 - (k3 (phi_I + phi_R))) - (d1 phi_I) total_macrophages = phi_R + phi_I

Component: phi_R

\frac{d}{d time} (phi_R) = (1.0 - alpha) K_T + k1 k2 phi_R (1.0 - (k3 (phi_I + phi_R))) - (d1 phi_R)

Component: T

\frac{d}{d time} (T) = k4 phi_I - (d2 T)

Component: K_T

K_T = tau1 T^{3.0} + tau2 T^{2.0} + tau3 T + tau4

Component: model_parameters

alpha = \{\begin{matrix} 0.8 if time \geq 0.0 \land time ≦ 10.0 \\ 0.2 otherwise \end{matrix}

Source: Derived from workspace Waugh, Sherratt, 2006 at changeset c24f5882d550.

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