You are here: Home / Exposures / Goldbeter, Gonze, Pourquie, 2007 / Sharp Developmental Thresholds Defined Through Bistability By Antagonistic Gradients of Retinoic Acid and FGF Signaling

Model Mathematics

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Component: environment

Component: RA

\frac{d}{d time} (RA) = v_s1 - (k_d1 C RA) - (k_d5 RA)

Component: M_C

\frac{d}{d time} (M_C) = V_0 + \frac{V_sC F^{n}}{{K_A}^{n} + F^{n}} - (k_d3 M_C)

Component: C

\frac{d}{d time} (C) = k_s2 M_C - (k_d2 C)

Component: F

\frac{d}{d time} (F) = \frac{k_s3 M_F {K_I}^{m}}{{K_I}^{m} + {RA}^{m}} - (k_d4 F)

Component: v_s1

v_s1 = k_s1 RALDH2_0 (1 - (\frac{x}{L}))

Component: M_F

M_F = \frac{M_0 x}{L}

Component: alpha_1

alpha_1 = \frac{RA}{RA + K_r1}

Component: alpha_2

alpha_2 = \frac{F}{F + K_r2}

Component: rho

rho = \frac{alpha_2}{alpha_1}

Component: model_parameters

Source: Derived from workspace Goldbeter, Gonze and Pourquie 2007 at changeset 4c91e7341526.

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Sharp Developmental Thresholds Defined Through Bistability By Antagonistic Gradients of Retinoic Acid and FGF Signaling