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Table 2 Ordinary differential equations for the ERK signaling cascade model

From: Emergence of bimodal cell population responses from the interplay between analog single-cell signaling and protein expression noise

d M A P 3 K d t

v 2 − v 1

d p M A P 3 K d t

v 1 - v 2

d M A P 2 K d t

v 6 − v 3

d p M A P 2 K d t

v 3 + v 5 − ( v 4 + v 6 )

d p p M A P 2 K d t

v 4 − v 5

d M A P K d t

v 10 − v 7

d p M A P K d t

v 7 + v 9 − ( v 8 + v 10 )

d p p M A P K d t

v 8 − v 9

d R a s G T P d t

K 1 τ 1 exp − t τ 1 + K 2 τ 2 exp − t τ 2 ; R a s G T P t = K 1 1 − e − t / τ 1 + K 2 1 − e − t / τ 2

  1. K’s and τ’s are determined as described in Methods.