Fitness landscapes and adaptive dynamics

健身景观和适应性动态

• 批准号: 221844245
• 负责人: Professor Dr. Anton Bovier
• 金额: --
• 依托单位: Institut für Angewandte Mathematik (IAM)
• 依托单位国家: 德国
• 项目类别: Priority Programmes
• 财政年份: 2012
• 资助国家: 德国
• 起止时间: 2011-12-31 至 2019-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/221844245?language=en
• 关键词: Fitness; landscapes; adaptive; dynamics

The adaptive evolution of a population under the influenceof mutation and selection is governed by the structure of theunderlying fitness landscape. Here fitness can either be assigned directly to genotypes, or it arises dynamically from ecological interactions. In the first case thefitness landscape is modeled as a random function on the space of genotypes, andthe interest is in characterizing the evolutionary accessibility of high-fitnessregions, for example, in terms of pathways of ascending fitness and the properties of uphilladaptive walks. Building on results achieved in the first funding period, the project willcontinue the investigation of accessibility properties for classes of correlated landscapesand introduce more realistic models incorporating explicit intermediate phenotypes. The application of adaptive walks for the exploration of high-dimensional empirical data sets will also be developed. An important achievement of the investigation of adaptive dynamics in the first funding period was a rigorous control of various scaling limits, and these results can now be exploited to provide an underpinning of the simplified adaptive walk models in terms of individual-based ecological dynamics. Moreover, the analysis will be extended to the regime of evolutionary branching, and the effects of higher mutation rates and diploid recombination on genetic diversity will be addressed. A further focus of the project will be on adaptive dynamics models with phenotypic switchingthat arise in the context of tumor growth and immunotherapy.

在突变和选择的影响下，种群的适应性进化受基本适应度格局的结构控制。在这里，适合度可以直接分配给基因类型，也可以动态地从生态相互作用中产生。在第一种情况下，适应度景观被建模为基因型空间上的随机函数，并且感兴趣的是表征高适合度区域的进化可及性，例如，根据提升适合度的路径和上坡适应性行走的特性。在第一个资助期取得的成果的基础上，该项目将继续调查相关景观类别的可达性属性，并引入更现实的模型，纳入明确的中间表型。还将开发用于探索高维经验数据集的自适应行走的应用。第一个资助期适应性动力学研究的一个重要成果是严格控制了各种尺度限制，这些结果现在可以用来从基于个体的生态动力学的角度为简化的适应性行走模型提供支持。此外，分析还将扩展到进化分支机制，以及更高的突变率和二倍体重组对遗传多样性的影响。该项目的另一个重点将是在肿瘤生长和免疫治疗的背景下出现的具有表型切换的适应性动力学模型。