Some advances of modeling complex traits evolution as a wave
组织者
演讲者
时间
2024年12月23日 11:00 至 11:30
地点
Online
摘要
There has long been attempts to make analogy between quantum mechanics and evolutionary dynamics. However, although these works formed elegant frameworks using various equations to explain evolution of quantitative or complex trait, there is great theoretical gap between the mathematical treatment and evolutionary implications. Questions are hard to be answered such that what does the Harmiltonian or momentum mean for a trait of a population? Here we suggest a straightforward analogy that with some limitations on the fertility of an episodes of selection, the evolution of a trait can be compared as a special wave. We suggested a de broglie-like relation and construct a schrodinger-like equation. a more complicated form can be deduced from a diffusion equation, whose form is widely used in population genetics. A trait iteration equation based on the relationship involving the phenotypic value and fitness of the wave is obtained, which has a form of implicit function. The relation between the implicit function form of iteration function and schrodinger equation is to be discovered.