ArticleJournal of mathematical biology2017
Coherent modelling switch between pointwise and distributed representations of cell aggregates.
Article in Journal of mathematical biology, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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Who cites it
8 citing papers in PubMed.
- A Multicellular Mechanochemical Model to Investigate Tumor Microenvironment Remodeling and Pre-Metastatic Niche Formation.Cellular and molecular bioengineering · 2024Article
- A Genuinely Hybrid, Multiscale 3D Cancer Invasion and Metastasis Modelling Framework.Bulletin of mathematical biology · 2024Article
- Multi-Cue Kinetic Model with Non-Local Sensing for Cell Migration on a Fiber Network with Chemotaxis.Bulletin of mathematical biology · 2022Article
- An agent-based approach for modelling collective dynamics in animal groups distinguishing individual speed and orientation.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2020Article
- Modelling physical limits of migration by a kinetic model with non-local sensing.Journal of mathematical biology · 2020Article
- Kinetic models with non-local sensing determining cell polarization and speed according to independent cues.Journal of mathematical biology · 2020Article
- Modelling chase-and-run migration in heterogeneous populations.Journal of mathematical biology · 2020Article
- Non-local Parabolic and Hyperbolic Models for Cell Polarisation in Heterogeneous Cancer Cell Populations.Bulletin of mathematical biology · 2018Article
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Authors and funding
3 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Biological systems are typically formed by different cell phenotypes, characterized by specific biophysical properties and behaviors. Moreover, cells are able to undergo differentiation or phenotypic transitions upon internal or external stimuli. In order to take these phenomena into account, we here propose a modelling framework in which cells can be described either as pointwise/concentrated particles or as distributed masses, according to their biological determinants. A set of suitable rules then defines a coherent procedure to switch between the two mathematical representations. The theoretical environment describing cell transition is then enriched by including cell migratory dynamics and duplication/apoptotic processes, as well as the kinetics of selected diffusing chemicals influencing the system evolution. Finally, biologically relevant numerical realizations are presented: in particular, they deal with the growth of a tumor spheroid and with the initial differentiation stages of the formation of the zebrafish posterior lateral line. Both phenomena mainly rely on cell phenotypic transition and differentiated behaviour, thereby constituting biological systems particularly suitable to assess the advantages of the proposed model.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.