Dynamics of EMT/MET transitions in a mathematical model

Speaker(s)

Magdalena Szafrańska-Łęczycka

Affiliation

Szkoła Doktorska Nauk Scisłych i przyrodniczych UW

Language of the talk

English

Date

Dec. 10, 2025, 2:15 p.m.

Room

room 5070

Seminar

Seminar of Biomathematics and Game Theory Group

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Epithelial–mesenchymal transition (EMT) and its reverse process (MET) play a central role in cancer progression by enhancing tumor cell invasiveness and metastatic potential. Following the framework proposed by Celià-Terrassa et al. (2018), we investigate a mathematical model describing interactions among the key regulators of EMT/MET, with particular focus on the initiation of TGF-β signaling, the miR-200/ZEB feedback loop, and the expression of E-cadherin, a key marker of the epithelial phenotype.
We approach the model as a hierarchical system and analyse each of its subsystems separately by determining their steady states and examining their stability properties. For every subsystem, as well as for the full model, we prove global stability by applying Vidyasagara's theorem. Moreover, we extend the existing results by considering cases in which multiple steady states may exist within a given subsystem or when a steady state lies on the boundary of the  domain.
 

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