Gene regulatory network model

ZC Zixuan Cang
YW Yangyang Wang
QW Qixuan Wang
KC Ken W. Y. Cho
WH William Holmes
QN Qing Nie
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The gene expression dynamics of Nanog/Gata6/Fgf are represented by the following non-dimensional stochastic ODE system:

where [Nan]i, [Gat]i, [Fr]i, [Fs]i, and [Erk]i represent secreted Nanog, Gata6, Fgfr2, Fgf4, and Erk in cell i. The perceived Fgf4 from neighboring cells for cell i is described by

where rcontact is a cutoff determining if cells located at ri and rj are neighboring cells, Nj is the number of neighbors of cell j, and γj is a Gaussian noise.

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