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Table 1 The reaction table with x corresponding to p53, y 0 to Mdm2-precursor while y corresponds to Mdm2

From: Parametric sensitivity analysis for biochemical reaction networks based on pathwise information theory

Event

Reaction

Rate

Rate’s derivative

R 1

∅ → x

a1(x) = b x

∇ θ a1(x) = [1, 0, 0, 0, 0, 0, 0]T

R 2

x → ∅

a 2 (x)= a x x+ a k y x + k x

∇ θ a2(x) = [0, x, x y / (x + k),

   

−a k x y / (x + k)2, 0, 0, 0]T

R 3

x → x + y0

a3(x) = b y x

∇ θ a3(x) = [0, 0, 0, 0, x, 0, 0]T

R 4

y0 → y

a4(x) = a0y0

∇ θ a4(x) = [0, 0, 0, 0, 0, y0, 0]T

R 5

y → ∅

a5(x) = a y y

∇ θ a5(x) = [0, 0, 0, 0, 0, 0, y]T

  1. The state of the reaction model is defined as x = [x, y0, y ]T while the parameter vector is defined as θ = [b x , a x , a k , k, b y , a0, a y ]T.
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BMC Bioinformatics

ISSN: 1471-2105

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