Bayesian inverse problem for a fractional diffusion model of cell migration.
Math Biosci Eng
; 21(4): 5826-5837, 2024 Apr 28.
Article
em En
| MEDLINE
| ID: mdl-38872560
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.
Palavras-chave
Texto completo:
1
Coleções:
01-internacional
Base de dados:
MEDLINE
Assunto principal:
Movimento Celular
/
Método de Monte Carlo
/
Cadeias de Markov
/
Teorema de Bayes
/
Modelos Biológicos
Limite:
Animals
/
Humans
Idioma:
En
Ano de publicação:
2024
Tipo de documento:
Article