You are here: Home / Exposures / Komarova, Wodarz, 2003 / Evolutionary dynamics of mutator phenotypes in cancer: implications for chemotherapy (Complex Model)

Model Mathematics

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Component: environment

Component: S

\frac{d}{d time} (S) = rs S ((1 - (u 1)) + \frac{beta epsilon_s u}{1}) + \frac{alpha u rs S}{1} (1 - epsilon_s) - (phi S 1)

Component: M

\frac{d}{d time} (M) = rm M ((1 - (\frac{u}{1})) + \frac{beta epsilon_m u}{1}) + \frac{alpha u rm M}{1} (1 - epsilon_m) - (phi M 1)

Component: phi

phi = \frac{S rs}{1} (1 - (\frac{u}{1} (1 - (\frac{beta epsilon_s}{1}) - (\frac{alpha}{1} (1 - (\frac{epsilon_s}{1})))))) + \frac{M rm}{1} (1 - (\frac{u}{1} (1 - (\frac{beta epsilon_m}{1}) - (\frac{alpha}{1} (1 - (\frac{epsilon_m}{1})))))) growth_rate = (rs + rm) (1 - (\frac{a}{1}))

Component: kinetic_parameters

Source: Derived from workspace Komarova, Wodarz, 2003 at changeset 8f0650c2459b.; This exposure was expired. A more up-to-date exposure is available, or view related resources.

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