Bayesian inverse problem for a fractional diffusion model of cell migration-Reference-Cited by-同舟云学术

Bayesian inverse problem for a fractional diffusion model of cell migration

Published:2024 Issue:4 Volume:21 Page:5826-5837
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Ariza-Hernandez Francisco Julian¹,Najera-Tinoco Juan Carlos¹,Arciga-Alejandre Martin Patricio¹,Castañeda-Saucedo Eduardo²,Sanchez-Ortiz Jorge¹

Affiliation:

1. Faculty of Mathematics, Autonomous University of Guerrero, Mexico

2. Laboratory of Cancer Cell Biology, Faculty of Chemical and Biological Sciences, Autonomous University of Guerrero, Mexico

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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