13 papers
Speed and stability of segregated waves in a pressure-based model of heterogeneous cell populations
Carles Falcó, Rebecca M. Crossley, Martina Conte +1
We consider a minimal pressure-based model of heterogeneous cell populations consisting of proliferative and non-proliferative cells with different mobilities. The model is formula…
Kinetic and mean-field modeling of muscular dystrophies
Tommaso Lorenzi, Horacio Tettamanti, Mattia Zanella
We present a new class of models for assessing the cell dynamics characterising muscular dystrophies. The proposed approach comprises a system of integro-differential equations for…
Derivation and quasi-invariant asymptotics of phenotype-structured integro-differential models
Emanuele Bernardi, Tommaso Lorenzi, Andrea Tosin
Building upon kinetic theory approaches for mass-varying multi-agent systems, we develop a modelling framework for phenotype-structured populations that makes it possible to bridge…
A phenotype-structured reaction-diffusion model of avascular glioma growth
Francesca Ballatore, Xinran Ruan, Chiara Giverso +1
We consider a phenotype-structured reaction-diffusion model of avascular glioma growth. The model describes the interaction dynamics between tumour cells and oxygen, and takes into…
On a phenotype-structured phase-field model of nutrient-limited tumour growth
Tommaso Lorenzi, Giulia Pozzi, Andrea Signori
Phase-field models of tumour growth have proved useful as theoretical tools to investigate cancer invasion. A key implicit assumption underlying mathematical models of this type wh…
Pattern formation within phenotype-structured chemotactic populations
Tommaso Lorenzi, Kevin J. Painter
Populations can become spatially organised through chemotaxis autoattraction, wherein population members release their own chemoattractant. Standard models of this process usually…