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Model Mathematics

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Component: environment

Component: Pfr

\frac{d}{d time} (Pfr) = Ir_sigma_r_phi_r \Pr - (Ifr_sigma_fr_phi_fr Pfr)

Component: Pr

\frac{d}{d time} (\Pr) = Ifr_sigma_fr_phi_fr \Pr - (Ir_sigma_r_phi_r \Pr + kd \Pr)

Component: Xi

\frac{d}{d time} (Xi) = kai Xa - (kia \Pr Xi)

Component: Xa

\frac{d}{d time} (Xa) = kia \Pr Xi - (kai Xa)

Component: prepreS

\frac{d}{d time} (prepreS) = - (kx Xa prepreS)

Component: preS

\frac{d}{d time} (preS) = kx Xa prepreS - (ky Ya preS)

Component: S

\frac{d}{d time} (S) = ky Ya preS + \frac{alpha1}{1.0 + V^{3.0}} - S

Component: V

\frac{d}{d time} (V) = \frac{alpha2}{1.0 + S^{3.0}} - V

Component: Ya

\frac{d}{d time} (Ya) = - (kG glucose Ya)

Component: model_parameters

Source: Derived from workspace Marwan, 2003 at changeset 3192ff5708ab.

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Theory of Time-Resolved Somatic Complementation and Its Use to Explore the Sporulation Control Network in Physarum polycephalum