Computational modeling of cell sorting, tissue engulfment, and related phenomena: A review

GW Brodland - Appl. Mech. Rev., 2004 - asmedigitalcollection.asme.org
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 …

Computer simulation of engulfment and other movements of embryonic tissues

NS Goel, G Rogers - Journal of Theoretical Biology, 1978 - Elsevier
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 …

Organization of biological systems: some principles and models

NS Goel, RL Thompson - International review of cytology, 1986 - Elsevier
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 …

[HTML][HTML] Computational cell model based on autonomous cell movement regulated by cell-cell signalling successfully recapitulates the" inside and outside" pattern of …

TT Maeda, I Ajioka, K Nakajima - BMC Systems Biology, 2007 - Springer
Background Development of multicellular organisms proceeds from a single fertilized egg as
the combined effect of countless numbers of cellular interactions among highly dynamic …

A random walk model of cellular kinetics

TD Rogers, JR Sampson - International Journal of Bio-Medical Computing, 1977 - Elsevier
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 …

Local models of cell aggregation kinetics

TD Rogers - Bulletin of Mathematical Biology, 1977 - Springer
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 …

Possibility of tissue separation caused by cell adhesion

R Takano, A Mochizuki, Y Iwasa - Journal of theoretical biology, 2003 - Elsevier
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 …

[PDF][PDF] Cell sorting model based on cell signaling

TT Maeda - Forma, 2000 - forma.katachi-jp.com
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 …

Equivalence between two-dimensional cell-sorting and one-dimensional generalized random walk--spin representations of generating operators

K Minami - arXiv preprint arXiv:1106.6210, 2011 - arxiv.org
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 …

[图书][B] Solid tumour growth: a comparison of mathematical models and computer simulations

EL Stott - 1998 - search.proquest.com
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 …