Mathematical modeling of growing biological tissues: from discrete to continual models
- Prelegent(ci)
- Natalya Kizilova, dr.hab., prof.
- Afiliacja
- ICM Warsaw University
- Termin
- 11 czerwca 2015 12:30
- Pokój
- p. 4060
- Seminarium
- Seminarium Zakładu Równań Fizyki Matematycznej
A brief review of mathematical models of growing biological materials
is given. Surface and volumetric growth and remodeling at different
external conditions are considered. The main experimental results on
influence of expansion/compression load on the growing biological bodies
are presented. The ‘from single-cell to tissues’ approach, discrete
models and their finite element implementations are discussed. The model
of the growing body as open thermodynamic system with distributed
sources of mass and energy is presented. Applications to the tissue
engineering problems at passive and active load conditions are
discussed.