Mathematical models for intra- and inter-cellular Ca²⁺ wave propagations

Spatio-Temporal Feature in Two-Wave and Multi-Wave Propagations

It is well known that the wave propagation depends mainly on its velocity and frequency in one direction for a single wave[1-3]. There are many literatures devoted researches of single wave propagation such as solitary wave, periodic wave, chirped wave, rational wave etc [4-6]. However, what can be happen when two and even more waves with different features propagate together along different di...

A Mathematical Model for Inter-Cellular Inductive Notch Signaling

In vertebrate limb, a group of specialized epithelial cells called Apical Ectodermal Ridge (AER) form at the boundary of dorsal and ventral limb ectoderm. Recent experiments suggest that AER forms at the boundary of Fringe expressing and Fringe non-expressing cells by a specific type of receptor-ligand interaction called as inductive signaling, involving the transmembrane proteins Notch, Serrat...

An Efficient Algorithm to Inter and Intra-Cell Layout Problems in Cellular Manufacturing Systems with Stochastic Demands

Combining Intra- and Inter-cellular Dynamics to Investigate Intestinal Homeostasis

This paper reports on the multi-scale modelling of an intestinal crypt cellular structure coupled with Wnt signalling. Using formal modelling techniques based on the stochastic π-calculus, which supports ambients needed for compartments, we develop a collection of cell and molecular level models. The focus of our study is the role of Wnt in the control of cell division and differentiation. Usin...

Mathematical Models in Cellular Biophysics

i Sammanfattning (in Swedish) ii