2026-06-08T14:41:40Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/1370042026-05-28T23:54:11Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Serrano, Helia
author
Fernández Álvarez-Estrada, Ramón
2026-05-28T18:48:50Z
2026-05-28T18:48:50Z
2023-12-18
Serrano, H.; Álvarez-Estrada, R.F. Characterization of the Mean First-Passage Time Function Subject to Advection in Annular-like Domains. Mathematics 2023, 11, 4998. https:// doi.org/10.3390/math11244998
10.3390/math11244998
https://hdl.handle.net/20.500.14352/137004
2227-7390
https//doi.org/10.1073/10.3390/math11244998
https://www.mdpi.com/2227-7390/11/24/4998
Cell migration in a biological medium towards a blood vessel is modeled, as a random process, sucessively inside an annulus (two-dimensional domain) and an annular cylinder (three-dimensional domain). The conditional probability function u for the cell moving inside such domains (tissue) fulfills by assumption a diffusion-advection equation that is subject to a Dirichlet boundary condition on the outer boundary and a Robin boundary condition on the inner boundary. The mean first-passage time (MFPT) function determined by u estimates the average time for the travelling cell to reach various interesting targets. The MFPT function fulfills a Poisson equation inside a domain with suitable boundary conditions, which give rise to various mathematical problems. The main novelty of this study is the characterization of such an MFPT function inside an annulus and an annular cylinder, which is subject to a Robin boundary condition on the inner boundary and a Dirichlet boundary condition on the outer one, and these are integral functions whose densities are the solution of an inhomogeneous system of linear integral equations.
eng
Attribution 4.0 International
Characterization of the mean first-passage time function subject to advection in annular-like domains
journal article
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fee2b25b7438455ccb5426c844559bb9
2466951
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Characterization of themean first-passage....pdf