细胞迁移分数扩散模型的贝叶斯逆问题。

IF 2.6 4区工程技术 Q1 Mathematics

Mathematical Biosciences and Engineering Pub Date : 2024-04-28 DOI:10.3934/mbe.2024257

Francisco Julian Ariza-Hernandez, Juan Carlos Najera-Tinoco, Martin Patricio Arciga-Alejandre, Eduardo Castañeda-Saucedo, Jorge Sanchez-Ortiz

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引用次数: 0

摘要

本研究考虑了费雪型分数扩散方程的直接问题和逆问题，该方程被提出来描述细胞迁移现象。对于直接问题，我们通过傅立叶方法和拉普拉斯变换给出了解决方案。另一方面，我们从贝叶斯统计框架出发，利用一组在伤口闭合试验中进行细胞迁移实验的数据解决了逆问题。我们通过马尔可夫链蒙特卡洛方法估计了数学模型的参数。

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Bayesian inverse problem for a fractional diffusion model of cell migration.

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.

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来源期刊

Mathematical Biosciences and Engineering 工程技术-数学跨学科应用

CiteScore

3.90

自引率

7.70%

发文量

586

审稿时长

>12 weeks

期刊介绍： Mathematical Biosciences and Engineering (MBE) is an interdisciplinary Open Access journal promoting cutting-edge research, technology transfer and knowledge translation about complex data and information processing. MBE publishes Research articles (long and original research); Communications (short and novel research); Expository papers; Technology Transfer and Knowledge Translation reports (description of new technologies and products); Announcements and Industrial Progress and News (announcements and even advertisement, including major conferences).