Paramita Chatterjee, M.Sc.

Department of Biosystems and Soft Matter (ZBiMM)
Division of Modelling in Biology and Medicine (PMBM)
position: doctoral student
telephone: (+48) 22 826 12 81 ext.: 330
room: 320
e-mail: pchatter

Recent publications
1.Chatterjee P., Kaźmierczak B., Eigenfunction Approach to Transient Patterns in a Model of Chemotaxis, MATHEMATICAL MODELLING OF NATURAL PHENOMENA, ISSN: 0973-5348, DOI: 10.1051/mmnp/201611204, Vol.11, No.2, pp.44-62, 2016
Abstract:

In the paper we examine solutions to a model of cell movement governed by the chemotaxis phenomenon derived in [14] and established via macroscopic limits of corresponding microscopic cell-based models with extended cell representations. The model is given by two PDEs for the density of cells and the concentration of a chemical. To avoid singularities in cell density, the aggregating force of chemotaxis phenomenon is attenuated by a density dependent diffusion of cells, which grows to infinity with density tending to a certain critical value. In this paper we recover the quasi-periodic structures provided by this model by means of (local in time) expansion of the solution into a basis of eigenfunctions of the linearized system. Both planar and spherical geometries are considered.

Keywords:

pattern formation, chemotaxis, Turing bifurcation, eigenfunction expansion

Affiliations:
Chatterjee P.-IPPT PAN
Kaźmierczak B.-IPPT PAN