Interaction between two mutually inhibiting proteins

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Reference no: EM1390381

1. (From Modeling the Dynamics of Life by F. Adler) Think about an interaction between two mutually-inhibiting proteins with concentrations x and y, given by the differential equations
dx = f(y)?x dt
dy =g(x)?y. dt
Both f(y) and g(x) are positive decreasing functions.
a) Explain each of the terms in these equations. What is the influence of the proteins on each other?
Do part b) for the following two cases:
Case 1: f(y)= 1 , g(x)= 1 ; 1+?y 1+?x
Case 2 : f(y) = e??y, g(x) = e??x.

Reference no: EM1390381

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