文章基本信息

标题：On the applicability of deterministic approximations to model genetic circuits * * This work has been partially supported by Ministerio de Economia y Competitividad AGL2012-39951-C02-01. M. Pájaro acknowledge support from grant BES-2013-063112.
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作者：M. Pájaro ; A.A. Alonso
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2016
卷号：49
期号：7
页码：206-211
DOI：10.1016/j.ifacol.2016.07.251
语种：English
出版社：Elsevier
摘要：Theoretical results and simulations support the idea that deterministic models provide an acceptable description only for large numbers of molecules. In the context of GRN, which usually involve a small number of molecules, such arguments might lead to disregard deterministic models as unsuitable representations. We found, however, strong evidences that justify their use to model self-regulatory genetic circuits, even for small number of molecules. In fact, we show that under some conditions, a stochastic system showing a switching-like behaviour (manifested on a bimodal distribution) nearly coincides with a deterministic counterpart exhibiting bistability. Moreover, and contrary to what it might be expected, we find situations involving large numbers of molecules where the deterministic model results into a poor approximation. The analysis and methods presented are expected to help selecting the most adequate system’s representation.
关键词：Gene circuitsmathematical modelsbiochemical switchesbistabilitystochastic systemsmodel reduction