{Reference Type}: Journal Article
{Title}: Bayesian inverse problem for a fractional diffusion model of cell migration.
{Author}: Ariza-Hernandez FJ;Najera-Tinoco JC;Arciga-Alejandre MP;Castañeda-Saucedo E;Sanchez-Ortiz J;
{Journal}: Math Biosci Eng
{Volume}: 21
{Issue}: 4
{Year}: 2024 Apr 28
{Factor}: 2.194
{DOI}: 10.3934/mbe.2024257
{Abstract}: 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.