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Model Mathematics

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Component: environment

Component: parameters

Component: C_1

\frac{d}{d time} (C_1) = \frac{v_12 {T_1}^{n}}{{k_120}^{n} + {T_1}^{n} + {C_2}^{n}} - (k_d4 C_1)

Component: C_2

\frac{d}{d time} (C_2) = \frac{v_11 {T_2}^{n}}{{k_110}^{n} + {T_2}^{n} + {C_3}^{n}} - (k_d5 C_2)

Component: C_3

\frac{d}{d time} (C_3) = \frac{v_10 {T_3}^{n}}{{k_100}^{n} + {T_3}^{n} + {C_1}^{n}} - (k_d6 C_3)

Component: T_1

\frac{d}{d time} (T_1) = j_1 + \frac{v_d1 {T_3}^{n}}{{k_m1}^{n} + {T_3}^{n}} + k_c1 C_1 - (k_d1 T_1)

Component: T_2

\frac{d}{d time} (T_2) = j_2 + \frac{v_d2 {T_1}^{n}}{{k_m2}^{n} + {T_1}^{n}} + k_c2 C_2 - (k_d2 T_2)

Component: T_3

\frac{d}{d time} (T_3) = j_3 + \frac{v_d3 {T_2}^{n}}{{k_m3}^{n} + {T_2}^{n}} + k_c3 C_3 - (k_d3 T_3)

Source: Derived from workspace Sriram, Bernot, Kepes, 2007 at changeset 0263c2698892.

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A minimal mathematical model combining several regulatory cycles from the budding yeast cell cycle