You are here: Home / Exposures / Muller, Obeyesekere, Mills, Ram, 2008 / Network topology determines dynamics of the mammalian MAPK1,2 signaling network: bifan motif regulation of C-Raf and B-Raf isoforms by FGFR and MC1R

Model Mathematics

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Component: environment

Component: y1

\frac{d}{d time} (y1) = a1 \frac{g1}{b1 + g1} - (d1 y1)

g1 = \{\begin{matrix} 0.0 if time \geq 0.0 \land time < 5.0 \\ 1.0 if time \geq 5.0 \land time ≦ 10.0 \\ 0.0 otherwise \end{matrix}

Component: y2

\frac{d}{d time} (y2) = a2 \frac{g2}{b2 + g2} - (d2 y2)

g2 = \{\begin{matrix} 1.0 if time \geq 0.0 \land time ≦ 5.0 \\ 0.0 otherwise \end{matrix}

Component: y3

\frac{d}{d time} (y3) = f13 (E - (y3 + y6)) y1 + f53 (E - (y3 + y6)) y5 - (h36 y2 y3 + d3 y3)

Component: y4

\frac{d}{d time} (y4) = f14 y1 + f24 y2 - (d4 y4)

Component: y5

\frac{d}{d time} (y5) = f35 y3 + f45 y4 - (d5 y5)

Component: y6

\frac{d}{d time} (y6) = h36 y2 y3 - (d6 y6)

Source: Derived from workspace Muller, Obeyesekere, Mills, Ram, 2008 at changeset 94a8494fa8b1.

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Network topology determines dynamics of the mammalian MAPK1,2 signaling network: bifan motif regulation of C-Raf and B-Raf isoforms by FGFR and MC1R