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Lineage grammars: describing simulating and analyzing population dynamics

机译:沿袭语法:描述模拟和分析人口动态

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摘要

BackgroundPrecise description of the dynamics of biological processes would enable the mathematical analysis and computational simulation of complex biological phenomena. Languages such as Chemical Reaction Networks and Process Algebras cater for the detailed description of interactions among individuals and for the simulation and analysis of ensuing behaviors of populations. However, often knowledge of such interactions is lacking or not available. Yet complete oblivion to the environment would make the description of any biological process vacuous. Here we present a language for describing population dynamics that abstracts away detailed interaction among individuals, yet captures in broad terms the effect of the changing environment, based on environment-dependent Stochastic Tree Grammars (eSTG). It is comprised of a set of stochastic tree grammar transition rules, which are context-free and as such abstract away specific interactions among individuals. Transition rule probabilities and rates, however, can depend on global parameters such as population size, generation count, and elapsed time.
机译:背景技术对生物过程动力学的精确描述将使复杂生物现象的数学分析和计算模拟成为可能。诸如化学反应网络和过程代数之类的语言适合于个人之间的相互作用的详细描述,以及随之而来的种群行为的模拟和分析。但是,通常缺乏或不了解这种相互作用。但是完全遗忘环境会使任何生物过程的描述变得空洞。在这里,我们提供一种用于描述人口动态的语言,该语言抽象出了个体之间的详细交互,但是基于依赖于环境的随机树文法(eSTG)广泛地捕获了不断变化的环境的影响。它由一组随机树语法转换规则组成,这些规则不受上下文限制,因此抽象出了个体之间的特定交互。但是,过渡规则的概率和发生率可能取决于总体参数,例如人口规模,世代计数和经过时间。

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