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Simplifying Stochastic Mathematical Models of Biochemical Systems

机译:简化生化系统的随机数学模型

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Stochastic modeling of biochemical reactions taking place at the cellular level has become the subject of intense research in recent years. Molecular interactions in a single cell exhibit random fluctuations. These fluctuations may be significant when small populations of some reacting species are present and then a stochastic description of the cellular dynamics is required. Often, the biochemically reacting systems encountered in applications consist of many species interacting through many reaction channels. Also, the dynamics of such systems is typically non-linear and presents multiple time-scales. Consequently, the stochastic mathematical models of biochemical systems can be quite complex and their analysis challenging. In this paper, we present a method to reduce a stochastic continuous model of well-stirred biochemical systems, the Chemical Langevin Equation, while preserving the overall behavior of the system. Several tests of our method on models of practical interest gave excellent results.
机译:近年来,在细胞水平上发生的生化反应的随机建模已成为深入研究的主题。单个细胞中的分子相互作用表现出随机波动。当存在一些反应物种的小种群,然后需要对细胞动力学进行随机描述时,这些波动可能会很明显。通常,在应用中遇到的生化反应系统由许多物种通过许多反应通道相互作用组成。同样,这种系统的动力学通常是非线性的,并呈现多个时间尺度。因此,生化系统的随机数学模型可能非常复杂,并且其分析具有挑战性。在本文中,我们提出了一种减少搅拌良好的生化系统的随机连续模型化学朗文芬方程的方法,同时保留了系统的整体性能。我们的方法在实用模型上的几次测试给出了极好的结果。

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