Coherent Modelling Switch Between Pointwise and Distributed Representations of Cell Aggregates

摘要: Biological systems are typically formed by different cell phenotypes, characterized specific biophysical properties and behaviors. Moreover, cells able to undergo differentiation or phenotypic transitions upon internal external stimuli. In order take these phenomena into account, we here propose a modelling framework in which can be described either as pointwise/concentrated particles distributed masses, according their biological determinants. A set of suitable rules then defines coherent procedure switch between the two mathematical representations. The theoretical environment describing transition is enriched including migratory dynamics duplication/apoptotic processes, well kinetics selected diffusing chemicals influencing system evolution. Finally, biologically relevant numerical realizations presented: particular, they deal with growth tumor spheroid initial stages formation zebrafish posterior lateral line. Both mainly rely on differentiated behaviour, thereby constituting particularly assess advantages proposed model.