Abstract
Collective cell population motility stays at the hearts of many important processes in human body, notably in wound healing and cancer progression, and involve a cascade of interlinked processes at both single and multiple spatial and temporal scales. One of the key processes contributing to collective cell motility is the directed movement triggered by calcium mediate cell-adhesion interactions, which involve of a combination of two sub-processes namely, cell – cell adhesion and cell – matrix adhesion.
Despite the advances recorded in characterising these sub-processes over the past two decades, both cell-cell adhesion and cell-matrix adhesion require renewed mathematical modelling efforts for deciphering their underlying mechanisms under complex tissue conditions.
In this work we focus our attention on cell-cell adhesion in the context of both standard diffusion and cross-diffusion, for which we propose and derive scratch a novel non-local modelling approach by which we address the cross-talk-type interactions between the cells on a given sensing region. The analytical derivation is accompanied by a finite volume computational implementation and relevant numerical examples.
Despite the advances recorded in characterising these sub-processes over the past two decades, both cell-cell adhesion and cell-matrix adhesion require renewed mathematical modelling efforts for deciphering their underlying mechanisms under complex tissue conditions.
In this work we focus our attention on cell-cell adhesion in the context of both standard diffusion and cross-diffusion, for which we propose and derive scratch a novel non-local modelling approach by which we address the cross-talk-type interactions between the cells on a given sensing region. The analytical derivation is accompanied by a finite volume computational implementation and relevant numerical examples.
| Original language | English |
|---|---|
| Publication status | Published - 27 Aug 2026 |
| Event | Nonlocal Aggregation Models in the Life Sciences - Banff International Research Station for Mathematical Innovation and Discovery, Banff, Canada Duration: 23 Aug 2026 → 28 Aug 2026 https://www.birs.ca/events/2026/5-day-workshops/26w5519 |
Conference
| Conference | Nonlocal Aggregation Models in the Life Sciences |
|---|---|
| Country/Territory | Canada |
| City | Banff |
| Period | 23/08/26 → 28/08/26 |
| Internet address |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 3 Good Health and Well-being
Keywords
- Keynote Speaker
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