Potential for regulatory genetic networks of gene expression near a stable point

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dc.creatorHuang, Ming-Chang
dc.creatorHuang, Yu-tin
dc.creatorWu, Jinn-Wen
dc.creatorChung, Tien-Shen
dc.date2007-10-20
dc.date.accessioned2026-07-07T08:37:35Z
dc.date.available2026-07-07T08:37:35Z
dc.descriptionA description for regulatory genetic network based on generalized potential energy is constructed. The potential energy is derived from the steady state solution of linearized Fokker-Plank equation, and the result is shown to be equivalent to the system of coupled oscillators. The correspondence between the quantities from the mechanical picture and the steady-state fluctuations is established. Explicit calculation is given for auto-regulatory networks in which, the force constant associated with the degree of protein is very weak. Negative feedback not only suppresses the fluctuations but also increases the steepness of the potential. The results for the fluctuations agree completely with those obtained from linear noise Fokker-Planck equation.
dc.description6 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0710.3837
dc.identifierhttp://arxiv.org/abs/0710.3837
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140449
dc.subjectBiological Physics
dc.subjectMolecular Networks
dc.titlePotential for regulatory genetic networks of gene expression near a stable point
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