Embryonic cells have the remarkable ability to spontaneously reposition themselves with
respect to other cells in an aggregate, an ability that is central to embryo morphogenesis …

Using a model proposed earlier by Goel et al. and a set of plausible motility rules, a
computer simulation of engulfment of two or more intact embryonic tissues is successfully …

Publisher Summary This chapter discusses some of the key principles that may be involved
in the construction of biological units from basic components and presents a set of examples …

Background Development of multicellular organisms proceeds from a single fertilized egg as
the combined effect of countless numbers of cellular interactions among highly dynamic …

The sorting out of biological cell mixtures into clusters of one cell type is modelled as a
consequence of random cell and cluster motion, during which cells of like type cohere upon …

Mathematical models of the phenomena of the sorting out of embryonic cells are derived
which predict multiple clustering of like cell types into many small islands. The experiments …

Adhesive molecules are suggested to play an important role when a single tissue is
separated into two in developmental processes, illustrated by tissue-specific cadherins in …

We propose a model for cell sorting which accounts for a key phenomenon of histogenesis
and morphogenesis. The model reproduces almost all the characteristics of cell …

The two-dimensional cell-sorting problem is found to be mathematically equivalent to the
one-dimensional random walk problem with pair creations and annihilations, ie the …

In this thesis, we will present simulations of solid tumour growth. We gradually develop a
biologically realistic simulation from an initially simplistic model. Continuum models are then …