Numerical bifurcation analysis of nonlinear dynamics in biological cells and tissues

Datum

09.12.2013

Zeit

16:40 - 17:40

Sprecher

Lutz Brusch

Zugehörigkeit

Center for Information Services and High Performance Computing (ZIH), TU Dresden

Sprache

en

Hauptthema

Mathematik

Andere Themen

Biologie, Mathematik

Host

Prof. Jörg Wensch

Beschreibung

Biological systems utilise feedback regulation among their components to let system functions self-organise. Mathematical models of feedback regulation are inherently nonlinear and only fully disclose their properties through bifurcation analysis. The results of the bifurcation analysis let us understand the modularity of biological systems, i.e. the variables of one sub-system act as control parameters of other sub-systems. Specifically, I'll illustrate the application of numerical bifurcation analysis for two self-organising system functions (i) multi-stability and switches, which coordinate intracellular organelle identity [1] as well as cell fate determination [2,3], and (ii) complex oscillatory states including bursting that encode signals [4]. [1] del Conte-Zerial et al. (2008) Membrane identity and GTPase cascades regulated by toggle and cut-out switches. Mol. Syst. Biol. 4, 206. [2] de Back, Zhou, Brusch (2012) On the role of lateral stabilization during early patterning in the pancreas. J. R. Soc. Interface 10, 20120766. [3] de Back, Zimm, Brusch (2013) Transdifferentiation of pancreatic cells by loss of contact-mediated signaling. BMC Systems Biology 7, 77. [4] Brusch et al. (2002) Fold-Hopf bursting in a model for calcium signal transduction. Z. Phys. Chem. 216, 487-497.

Letztmalig verändert: 11.12.2013, 22:55:17