功多汁水 发表于 2025-3-23 10:37:02
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,The Wright–Fisher Model,ormulated for diploid populations, and some of the interesting effects occurring in generalizations depend on that diploidy, the formal scheme emerges already for haploid populations. In the basic version, with which we start here, there is a single genetic locus that can be occupied by different al小虫 发表于 2025-3-23 19:41:05
Continuous Approximations,y of convergence of Markov processes, see Ethier and Kurtz (Markov processes. Wiley, New York, 1986), but we shall present the proof here in order to keep our treatment self-contained. The proof can be shortened by appealing to general theorems about stochastic processes, but, in order to be self-coClassify 发表于 2025-3-24 00:05:58
Recombination,sumed to be linearly ordered. The number of loci, as well as the set of possible alleles for each, are the same for all gametes within the population under consideration. When two gametes are paired, they form an offspring gamete that at some of its sites gets the alleles from the first parent, andFLAIL 发表于 2025-3-24 02:45:35
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The Backward Equation,te .(., 0) = .(.) at time . = 0, i.e. having reached the corresponding (generalised) target set. It becomes a parabolic equation upon time reversal, that is, replacing . by − .. We can then treat .(., 0) = .(.) as the initial condition at time . = 0. In view of the biological model behind the Kolmog辫子带来帮助 发表于 2025-3-24 12:07:41
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Introduction,Population genetics is concerned with the stochastic dynamics of allele frequencies in a population. In mathematical models, alleles are represented as alternative values at genetic loci.defuse 发表于 2025-3-24 21:20:44
Geometric Structures and Information Geometry,We consider the probability simplexVentricle 发表于 2025-3-25 02:57:17
Moment Generating and Free Energy Functionals,In this section, we will construct the moment generating function for the Wright–Fisher model and derive a partial differential equation that it satisfies. This differential equation encodes all the moment evolution equations from the Sect. .