Mathematical models of morphogenesis

Clocks, gradients, and molecular networks mathematical models for morphogenesis

6.9 M e th o d s ........................................................................................................131 6.9.1 Numerical in teg ra tion .....................................................................131 6.9.2 Com putation of convergence times ..........................................131 6.9.3 Simulations with time-dependent p a ram e te rs .........................132...

Visual Models of Morphogenesis

Conference paper: Chairman’s Introduction Mushroom Mechanics and Mathematical Models of Mushroom Morphogenesis

Simulation of Pedestrian Dynamics with Macroscopic and Microscopic Mathematical Models

Here, we collect two parts of a research project on the pedestrian flow modeling. Rapid growth in the volume of public transport and the need for its reasonable, efficient planning have made the description and modeling of transport and pedestrian behaviors as important research topics in the past twenty years. First, we present a macroscopic model for the pedestrian flow based on continuum mec...

Mechanocellular models of epithelial morphogenesis.

Embryonic epithelia achieve complex morphogenetic movements, including in-plane reshaping, bending and folding, through the coordinated action and rearrangement of individual cells. Technical advances in molecular and live-imaging studies of epithelial dynamics provide a very real opportunity to understand how cell-level processes facilitate these large-scale tissue rearrangements. However, the...