摘要
[Objective]The aim was to discuss elimination mechanism and equilibrium model about complete linkage gene of panmixis based on fitness.[Method]A mathematical model that gsgenerational evalution of frequency of panmixis two pairs of complete linkage gene under difference fitness was built by using difference equations to study elimination mechanism and genetic equilibrium state of panncticcoinplete linkage gene.[Result]The panmixis is different from Hardy-Weinberg Equilibrium which reached the equilibrium just by one generation.A method that by using linear equation to calculate the frequency of four gametes and the fitnessed of panmixis was established after detormining is the fitness of 10 genotypes the necessary and sufficient condition of the panmixis to reach balance.[Conclusion]The method is valuable for reference on linkage disequilibrium and hitchhiking effect study.
[目的]探讨基于适合度的随机交配群体完全连锁的淘汰机理及平衡模型。[方法]用差分方程组建立具有2对完全连锁基因随机交配群体4种配子在不同适合度下频率逐代演变的数学模型,研究它的淘汰机理及遗传平衡状态。[结果]该群体不像Hardy-Weinberg平衡那样经一代就达到平衡。找到该群体达到平衡的一个充要条件,获得在测出10种基因型的适合度后,用线性方程组计算平衡状态4种配子的频率及群体适合度的方法。[结论]对目前学术界进行的连锁不平衡研究、选择牵连研究有一定的参考意义。
基金
Supported by Scientific Research Grant of the Education Department of Guangxi Zhuang Autonomous Region(200807MS065)
Elite Support Fund for Universities in Guangxi Zhuang Autonomous Region~~