Mathematics and Physics

Stochastic models for population dynamics

Branching processes are a class of stochastic models that are based on reproduction and behavior at the individual level, from which conclusions are drawn about the population as a whole. Ongoing research projects address (1) accumulation of mutations in shrinking populations, (2) dynamics of prions (potentially pathogenic proteins), (3) persistence (a non-hereditary transient condition) to antibiotics in bacteria.

For information, contact Peter Olofsson (1,2 och 3) eller Arpan Ghosh (2).

Stochastic Models in Materials Science

Crack propagation and crack branching are well-known phenomena in materials science, particularly in brittle metals and alloys. We intend to study them using stochastic models based on branching processes and Poisson processes, and to test the validity of the models through various kinds of experiments in collaboration with members of the Department of Materials and Manufacturing.

For information, contact Peter Olofsson

Modelling blood flow through elastic blood vessels

Development and analysis of a mathematical model of blood circulation within blood vessels in the human vascular system. Asymptotic methods are used to derive one-dimensional models of arteries that takes into account the information about its complicated geometry and elastic properties. The model equations which consist of coupled systems of partial differential equations, are studied and used for simulations.

For information, contact kontakta: Arpan Ghosh

Modeling fission and fusion of atomic nuclei

Theoretical studies of fission of heavy atomic nuclei, with a focus on the mechanisms that control the deformation and division of the nucleus into fission fragments, as well as fusion for the formation of new elements.

For information, contact kontakta: Martin Albertson

Mathematical modeling and numerical methods for acoustics and electro-dynamics

In cooperation with ICMM, the International Center for Mathematical Modeling, at Linnaeus University, Växjö, Sweden, research is done regarding development of mathematical models and numerical methods for acoustics and electro-dynamics. In particular, numerical methods for conformal mappings are developed.

For information, contact Anders Andersson or Thomas Biro.

Approximate Approximations

Approximation with non-local base functions, algorithms for multiresolution decomposition, semi-analytic methods for calculations of non-homogeneous linear partial differential equation potentials.

For information, contact Tjavdar Ivanov.