A stochastic hybrid model with a fast concentration bias for chemotactic cellular attraction

dc.contributor.authorOjer, Jaume
dc.contributor.authorGarcía López, Álvaro
dc.contributor.authorUsed, Javier
dc.contributor.authorFernández Sanjuán, Miguel Ángel
dc.date.accessioned2023-12-21T11:36:41Z
dc.date.available2023-12-21T11:36:41Z
dc.date.issued2022-01
dc.descriptionSpanish State Re- search Agency (AEI) and the European Regional Development Fund (ERDF, EU) under Project no. PID2019-105554GB-I00es
dc.description.abstractWe reproduce the phenomenon of chemotaxis through a hybrid random walk model in two dimensions on a lattice. The dynamics of the chemoattractant is modelled using a partial differential equation, which reproduces its diffusion through the environment from its local sources. The cell is treated discretely and it is considered immersed in a medium with concentration gradients, so that its path is affected by these chemical anisotropies. Therefore, the direction taken in each iteration of the walk is given by a stochastic process that must be biased by the chemical concentrations, giving preference towards the highest values. For this purpose, we model the intensity of the bias by a single parameter, which is related to how much a cell is attracted to a source and, consequently, how efficient this source is with respect to the cellular capture. Since the model is intended for later hybridization with cellular automata models, a thorough quantitative analysis of the parameter space has been carried out. Finally, we also illustrate the efficiency of the cellular capture due to the concentration sources by using stochastic basins of attraction.es
dc.identifier.citationJaume Ojer, Álvaro G. López, Javier Used, Miguel A.F. Sanjuán, A stochastic hybrid model with a fast concentration bias for chemotactic cellular attraction, Chaos, Solitons & Fractals, Volume 156, 2022, 111792, ISSN 0960-0779, https://doi.org/10.1016/j.chaos.2022.111792.es
dc.identifier.doi10.1016/j.chaos.2022.111792es
dc.identifier.issn1873-2887
dc.identifier.issn0960-0779
dc.identifier.urihttps://hdl.handle.net/10115/27655
dc.language.isoenges
dc.publisherElsevieres
dc.rightsCC0 1.0 Universal*
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.subjectChemotaxises
dc.subjectRandom walkses
dc.subjectStochastic basins of attractiones
dc.subjectCellular automataes
dc.subjectFractalses
dc.titleA stochastic hybrid model with a fast concentration bias for chemotactic cellular attractiones
dc.typeinfo:eu-repo/semantics/articlees

Archivos

Bloque original

Mostrando 1 - 1 de 1
No hay miniatura disponible
Nombre:
Ojer_Lopez_Used_Sanjuan_CS&F.pdf
Tamaño:
1.45 MB
Formato:
Adobe Portable Document Format
Descripción:
Artículo principal