%0 Journal Article
%T Bayesian inverse problem for a fractional diffusion model of cell migration.
%A Ariza-Hernandez FJ
%A Najera-Tinoco JC
%A Arciga-Alejandre MP
%A Castañeda-Saucedo E
%A Sanchez-Ortiz J
%J Math Biosci Eng
%V 21
%N 4
%D 2024 Apr 28
%M 38872560
%F 2.194
%R 10.3934/mbe.2024257
%X In the present work, both direct and inverse problems are considered for a Fisher-type fractional diffusion equation, which is proposed to describe the phenomenon of cell migration. For the direct problem, a solution is given via the Fourier method and the Laplace transform. On the other hand, we solved the inverse problem from a Bayesian statistical framework using a set of data that are the result of a cell migration experiment on a wound closure assay. We estimated the parameters of the mathematical model via Markov Chain Monte Carlo methods.