Поредната сбирка на СЕМИНАРА на секция

“Математическо моделиране и числен анализ”

ще се състои на  23.04.2025 г. (сряда) от 14:00 часа в зала 478 на ИМИ – БАН.

Доклад на тема:

Multiscale Leading Edge and Bulk Dynamics for Tumour Invasion in Fibrous Environment

ще изнесе Dr. Dumitru Trucu (University of Dundee, Шотландия).

Резюме: Despite all recent in vivo, in vitro, and in silico advances, the understanding of the genuine biologically multiscale process of solid tumour invasion remains one of the greatest open questions for scientific community. In this talk we present novel mathematical multiscale moving boundary modelling and structural analytical approaches for tumour invasion. Specifically, we focus on characterising mathematically key aspects of the dynamic interactions that the migratory cancer cells population and the accompanying matrix degrading enzymes (MDEs) have with the extracellular matrix (ECM) components, and in particular with the ECM fibres. These are complex interactions enabled by a series of integrated multiscale systems, which are at least two-scale in nature and share (and contribute to) the same tumour macro-dynamics (i.e., tissue-scale dynamics) but have independent-in-nature micro-dynamics (i.e., cell-scale dynamics). For instance, on the bulk of the tumour, of major interest is the dynamics of fibres degradation and structural realignment occurring at micro-scale as well as the immediate impact that this continuously changing field of oriented ECM fibres has over the tumour macro-dynamics. On the other hand, the cell-scale proteolytic micro-dynamics occurring at the tumour invasive edge interacts with the peritumoural ECM fibres through the molecular fluxes of MDEs. This interfacial cell-scale interaction not only results in changes in the micro-scale structural distribution of peritumoural ECM fibres but also influences directly the changes of the overall tumour morphology.