论文标题
系统和合成生物学的数值延续和分叉理论教程
Tutorial of numerical continuation and bifurcation theory for systems and synthetic biology
论文作者
论文摘要
数学建模使我们能够简单地描述生物学的基本原理。模型的分析可以有助于解释已知现象，并预测新的，看不见的行为的存在。模型分析通常是一项复杂的任务，因此我们别无选择，只能通过计算方法解决问题。数值延续是一种计算方法，用于通过算法检测分叉分析非线性模型的动力学。在这里，我们旨在通过提供非线性动力学和数值分叉分析的介绍来促进数值延续工具的使用。提供了许多数值延续软件包，涵盖了广泛的系统类别；提供了这些包裹的审查，以帮助新的和经验丰富的从业人员为其需求选择适当的软件工具。
Mathematical modelling allows us to concisely describe fundamental principles in biology. Analysis of models can help to both explain known phenomena, and predict the existence of new, unseen behaviours. Model analysis is often a complex task, such that we have little choice but to approach the problem with computational methods. Numerical continuation is a computational method for analysing the dynamics of nonlinear models by algorithmically detecting bifurcations. Here we aim to promote the use of numerical continuation tools by providing an introduction to nonlinear dynamics and numerical bifurcation analysis. Many numerical continuation packages are available, covering a wide range of system classes; a review of these packages is provided, to help both new and experienced practitioners in choosing the appropriate software tools for their needs.
