With computation models playing an ever increasing role in the advancement of science, it is important that researchers understand what it means to model something; recognize the …
This monograph presents a general mathematical theory for biological growth. It provides both a conceptual and a technical foundation for the understanding and analysis of …
Despite major scientific, medical and technological advances over the last few decades, a cure for cancer remains elusive. The disease initiation is complex, and including initiation …
We present a three-dimensional individual cell-based, biophysical model to study the effect of normal and malfunctioning growth regulation and control on the spatial-temporal …
The dynamic behaviour of epithelial cell sheets plays a central role during development, growth, disease and wound healing. These processes occur as a result of cell adhesion …
For nearly 150 years, it has been recognized that cell shape strongly influences the orientation of the mitotic cleavage plane (eg, Hofmeister, 1863). However, we still …
The biomechanical modeling of growing tissues has recently become an area of intense interest. In particular, the interplay between growth patterns and mechanical stress is of …
M Bock, AK Tyagi, JU Kreft, W Alt - Bulletin of mathematical biology, 2010 - Springer
Voronoi tessellations have been used to model the geometric arrangement of cells in morphogenetic or cancerous tissues, however, so far only with flat hyper-surfaces as cell …
WT Gibson, MC Gibson - Current topics in developmental biology, 2009 - Elsevier
Epithelia are sheets of tightly adherent cells that line both internal and external surfaces in a vast array of metazoans. During development, an intrinsic consequence of coupling tight …