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Component: environment

Component: S_0

\frac{d}{d time} (S_0) = \frac{R_0 S_0}{1} (1 - u_s) - (phi S_0)

Component: S_1

\frac{d}{d time} (S_1) = \frac{alpha u R_0 S_0}{1} (1 - epsilon_s) + \frac{R_1 S_1}{1} (1 - u_s) - (phi S_1)

Component: S_2

\frac{d}{d time} (S_2) = \frac{alpha u R_1 S_1}{1} (1 - epsilon_s) + \frac{R_2 S_2}{1} (1 - u_s) - (phi S_2)

Component: S_3

\frac{d}{d time} (S_3) = \frac{alpha u R_2 S_2}{1} (1 - epsilon_s) + \frac{R_3 S_3}{1} (1 - u_s) - (phi S_3)

Component: S_4

\frac{d}{d time} (S_4) = \frac{alpha u R_3 S_3}{1} (1 - epsilon_s) + \frac{R_4 S_4}{1} (1 - u_s) - (phi S_4)

Component: S_5

\frac{d}{d time} (S_5) = \frac{alpha u R_4 S_4}{1} (1 - epsilon_s) + \frac{R_5 S_5}{1} (1 - u_s) - (phi S_5)

Component: S_6

\frac{d}{d time} (S_6) = \frac{alpha u R_5 S_5}{1} (1 - epsilon_s) + \frac{R_6 S_6}{1} (1 - u_s) - (phi S_6)

Component: S_7

\frac{d}{d time} (S_7) = \frac{alpha u R_6 S_6}{1} (1 - epsilon_s) + \frac{R_7 S_7}{1} (1 - u_s) - (phi S_7)

Component: S_8

\frac{d}{d time} (S_8) = \frac{alpha u R_7 S_7}{1} (1 - epsilon_s) + \frac{R_8 S_8}{1} (1 - u_s) - (phi S_8)

Component: M_0

\frac{d}{d time} (M_0) = \frac{R_0 M_0}{1} (1 - u_m) - (phi M_0)

Component: M_1

\frac{d}{d time} (M_1) = M_0 1 \frac{d}{d time} (M_1_2) = \frac{alpha u R_0 M_0}{1} (1 - epsilon_m) + \frac{R_1 M_1}{1} (1 - u_m) - (phi M_1)

Component: M_2

\frac{d}{d time} (M_2) = \frac{alpha u R_1 M_1}{1} (1 - epsilon_m) + \frac{R_2 M_2}{1} (1 - u_m) - (phi M_2)

Component: M_3

\frac{d}{d time} (M_3) = \frac{alpha u R_2 M_2}{1} (1 - epsilon_m) + \frac{R_3 M_3}{1} (1 - u_m) - (phi M_3)

Component: M_4

\frac{d}{d time} (M_4) = \frac{alpha u R_3 M_4}{1} (1 - epsilon_m) + \frac{R_4 M_4}{1} (1 - u_m) - (phi M_4)

Component: M_5

\frac{d}{d time} (M_5) = \frac{alpha u R_4 M_4}{1} (1 - epsilon_m) + \frac{R_5 M_5}{1} (1 - u_m) - (phi M_5)

Component: M_6

\frac{d}{d time} (M_6) = \frac{alpha u R_5 M_5}{1} (1 - epsilon_m) + \frac{R_6 M_6}{1} (1 - u_m) - (phi M_6)

Component: M_7

\frac{d}{d time} (M_7) = \frac{alpha u R_6 M_6}{1} (1 - epsilon_m) + \frac{R_7 M_7}{1} (1 - u_m) - (phi M_7)

Component: M_8

\frac{d}{d time} (M_8) = \frac{alpha u R_7 M_7}{1} (1 - epsilon_m) + \frac{R_8 M_8}{1} ((1 - u_m) + \frac{alpha u}{1} (1 - epsilon_m)) - (phi S_8)

Component: R

R_0 = r_0 R_1 = r_1 (1 - a) R_2 = r_2 (1 - a) R_3 = r_3 (1 - a) R_4 = r_4 (1 - a) R_5 = r_5 (1 - a) R_6 = r_6 (1 - a) R_7 = r_7 (1 - a) R_8 = r_8 (1 - a)

Component: phi

phi = \frac{1 - u_s}{1} (R_0 S_0 + R_1 S_1 + R_2 S_2 + R_3 S_3 + R_4 S_4) + \frac{1 - u_m}{1} (R_1 M_1 + R_2 M_2 + R_3 M_3 + R_4 M_4)

Component: w

\frac{d}{d time} (w) = \frac{(1 - alpha) u}{1} ((1 - epsilon_s) (R_0 S_0 + R_1 S_1 + R_2 S_2 + R_3 S_3 + R_4 S_4 + R_5 S_5 + R_6 S_6 + R_7 S_7 + R_8 S_8) + (1 - epsilon_m) (R_0 M_0 + R_1 M_1 + R_2 M_2 + R_3 M_3 + R_4 M_4 + R_5 M_5 + R_6 M_6 + R_7 M_7 + R_8 M_8)) - (phi w)

Component: total_cells

total_cells = S_0 + S_1 + S_2 + S_3 + S_4 + S_5 + S_6 + S_7 + S_8 + M_0 + M_2 + M_3 + M_4 + M_5 + M_6 + M_7 + M_8 stable_total = S_0 + S_1 + S_2 + S_3 + S_4 + S_5 + S_6 + S_7 + S_8 mutant_total = M_0 + M_2 + M_3 + M_4 + M_5 + M_6 + M_7 + M_8

Component: kinetic_parameters

u_s = u (1 - (\frac{beta epsilon_s}{1})) u_m = u (1 - (\frac{beta epsilon_m}{1}))

Source: Derived from workspace Komarova, Wodarz, 2003 at changeset da6cde834b16.

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