Publication:
From microscopic to macroscopic description of multicellular systems and biological growing tissues

dc.contributor.authorBellomo, Nicola
dc.contributor.authorBellouquid, Abdelghani
dc.contributor.authorHerrero, Miguel A.
dc.date.accessioned2023-06-20T09:38:31Z
dc.date.available2023-06-20T09:38:31Z
dc.date.issued2007-02
dc.description.abstractThis paper presents an asymptotic theory for a large class of Boltzmann-type equations suitable to model the evolution of multicellular systems in biology. The mathematical approach described herein shows how various types of diffusion phenomena, linear and nonlinear, can be obtained in suitable asymptotic limits. Time scaling related to cell movement and biological activity are shown to play a crucial role in determining the macroscopic equations corresponding to each case.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipEU Network Modelling, Mathematical Methods and Computer Simulation of Tumor Growth and Therapy
dc.description.sponsorshipItalian Council of University and Scientific Research
dc.description.sponsorshipUniversidad Complutense Acción Especial
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/16308
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dc.identifier.doi10.1016/j.camwa.2006.02.028
dc.identifier.issn0898-1221
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/S0898122107001198
dc.identifier.relatedurlhttp://www.sciencedirect.com
dc.identifier.urihttps://hdl.handle.net/20.500.14352/50095
dc.issue.number3-4
dc.journal.titleComputers & Mathematics with Applications
dc.language.isoeng
dc.page.final663
dc.page.initial647
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.projectIDMRTN-CT-2004-503661
dc.relation.projectIDAE5/06-14364
dc.rights.accessRightsrestricted access
dc.subject.cdu519.87
dc.subject.cdu51-76
dc.subject.keywordKinetic theory
dc.subject.keywordmulticellular systems
dc.subject.keywordasymptotic limits
dc.subject.keywordnonlinear problems
dc.subject.keywordbacterial chemotaxis
dc.subject.keywordasymptotic analysis
dc.subject.keywordmathematical-model
dc.subject.keyworddiffusion limit
dc.subject.keywordkinetic-models
dc.subject.keywordequations
dc.subject.keywordaggregation
dc.subject.keyworddictyostelium
dc.subject.keywordangiogenesis
dc.subject.keywordinvasion
dc.subject.ucmBiomatemáticas
dc.subject.ucmInvestigación operativa (Matemáticas)
dc.subject.unesco2404 Biomatemáticas
dc.subject.unesco1207 Investigación Operativa
dc.titleFrom microscopic to macroscopic description of multicellular systems and biological growing tissues
dc.typejournal article
dc.volume.number53
dspace.entity.typePublication
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