Year: 2025
Type: article
Abstract: We propose a new continuum model for random genetic drift by employing a dynamic boundary condition approach. The model can be viewed as a regularized version of the Kimura equation and admits a continuous solution. We establish existence and uniqueness of a strong solution to the regularized system. Numerical experiments illustrate that, for sufficiently small regularization parameters, the model can capture key phenomena of the original Kimura equation, such as gene fixation and conservation of the first moment.
Authors: Chun Liu, Jan-Eric Sulzbach, Yiwei Wang
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Awards: Collaborative Research: Energetic Variation Based Numerical Studies in Complex Fluids with Thermo-Chemo-Mechanical Effects, Collaborative Research: Multi-Scale Modeling and Numerical Methods for Charge Transport in Ion Channels, QuasiStationärzustand Approximation für Partielle Differentialgleichungen, Energetic Variational Inference: Foundations, Algorithms, and Applications, Collaborative Research: Energetic Variation Based Numerical Studies in Complex Fluids with Thermo-Chemo-Mechanical Effects, Collaborative Research: DMREF: Microstructure by Design: Integrating Grain Growth Experiments, Data Analytics, Simulation, and Theory
OpenAlex ID: W4414220293