Section: New Results

Reaction and motion equations for living systems

Mathematical modelling for chemotaxis

A new kinetic model of chemotaxis for angiogenesis has been developed [22].

Aggregation equation.

Based on the approach relying on weak measure-valued solutions  [100], an extension to a model for two species in interaction has been proposed in [12].

Free boundary problems for tumour growth.

Motivated by numerical observations from D. Drasdo using agent-based modelling, the article [17] studies the interfaces between two cell populations described by continuous models with different motilities and recovers interface instabilities.