迁移和基因频率的李氏对称方法

IF 0.7 Q2 MATHEMATICS

Afrika Matematika Pub Date : 2025-08-20 DOI:10.1007/s13370-025-01357-y

Sameerah Jamal

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引用次数: 0

摘要

本文研究了一个遗传频率模型，该模型由包含迁移均值和方差参数的二阶微分方程控制。这样的模型对于理解基因流动如何影响迁移人群的遗传变异至关重要。我们证明了如何将方程化简为可解表达式，然后应用李氏对称性得到精确解。最后，讨论了抗HIV的CCR5- \(\triangle\) 32突变基因的案例研究。

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A Lie symmetry approach to migration and gene frequency

This paper examines a genetic frequency model, governed by a second-order differential equation that includes a migration mean and variance parameters. Such a model is critical for understanding how gene flow affects genetic variation across migrating populations. We prove how to reduce the equation to a solvable expression, and thereafter apply Lie symmetries to obtain exact solutions. Finally, a case study of the CCR5-\(\triangle\)32 mutant gene which provides resistance to HIV, is discussed.

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来源期刊

Afrika Matematika MATHEMATICS-

CiteScore

2.00

自引率

9.10%

发文量