128030 20241125101152.0 doi 10.1007/s11538-023-01194-9 sideral 135179 ART-2023-135179 eng Ayensa-Jiménez, Jacobo (orcid)0000-0003-2564-6038 A Mathematical Modelling Study of Chemotactic Dynamics in Cell Cultures: The Impact of Spatio-temporal Heterogeneity 2023 Access copy available to the general public Unrestricted As motivated by studies of cellular motility driven by spatiotemporal chemotactic gradients in microdevices, we develop a framework for constructing approximate analytical solutions for the location, speed and cellular densities for cell chemotaxis waves in heterogeneous fields of chemoattractant from the underlying partial differential equation models. In particular, such chemotactic waves are not in general translationally invariant travelling waves, but possess a spatial variation that evolves in time, and may even oscillate back and forth in time, according to the details of the chemotactic gradients. The analytical framework exploits the observation that unbiased cellular diffusive flux is typically small compared to chemotactic fluxes and is first developed and validated for a range of exemplar scenarios. The framework is subsequently applied to more complex models considering the chemoattractant dynamics under more general settings, potentially including those of relevance for representing pathophysiology scenarios in microdevice studies. In particular, even though solutions cannot be constructed in all cases, a wide variety of scenarios can be considered analytically, firstly providing global insight into the important mechanisms and features of cell motility in complex spatiotemporal fields of chemoattractant. Such analytical solutions also provide a means of rapid evaluation of model predictions, with the prospect of application in computationally demanding investigations relating theoretical models and experimental observation, such as Bayesian parameter estimation. info:eu-repo/grantAgreement/ES/MICINN/PID2019-106099RB-C44 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 2.0 2023 BIOLOGY 49 / 109 = 0.45 2023 Q2 T2 MATHEMATICAL & COMPUTATIONAL BIOLOGY 34 / 66 = 0.515 2023 Q3 T2 0.61 2023 Agricultural and Biological Sciences (miscellaneous) 2023 Q1 Environmental Science (miscellaneous) 2023 Q2 Pharmacology 2023 Q2 Biochemistry, Genetics and Molecular Biology (miscellaneous) 2023 Q2 Computational Theory and Mathematics 2023 Q2 Mathematics (miscellaneous) 2023 Q2 Neuroscience (miscellaneous) 2023 Q3 Immunology 2023 Q3 3.9 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Doweidar, Mohamed H. Universidad de Zaragoza (orcid)0000-0003-0088-7222 Doblaré, Manuel Universidad de Zaragoza (orcid)0000-0001-8741-6452 Gaffney, Eamonn A. 5004 605 Universidad de Zaragoza Dpto. Ingeniería Mecánica Área Mec.Med.Cont. y Teor.Est. 85, 98 (2023), [48 pp.] Bull. math. biol. BULLETIN OF MATHEMATICAL BIOLOGY 0092-8240 2823685 http://zaguan.unizar.es/record/128030/files/texto_completo.pdf Versión publicada 1210551 http://zaguan.unizar.es/record/128030/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:128030 articulos driver 2024-11-22-12:07:36 ARTICLE