On multiscale approaches to three-dimensional modelling of morphogenesis.
In this paper we present the foundation of a unified, object-oriented, three-dimensional biomodelling environment, which allows us to integrate multiple submodels at scales from subcellular to those of tissues and organs. Our current implementation combines a modified discrete model from statistical mechanics, the Cellular Potts Model, with a continuum reaction-diffusion model and a state automaton with well-defined conditions for cell differentiation transitions to model genetic regulation. This environment allows us to rapidly and compactly create computational models of a class of complex-developmental phenomena. To illustrate model development, we simulate a simplified version of the formation of the skeletal pattern in a growing embryonic vertebrate limb.
Chaturvedi
R
R
Department of Mathematics, Department of Physics and Center for the Study of Biocomplexity, University of Notre Dame, Notre Dame, IN 46556-5670, USA.
Huang
C
C
Kazmierczak
B
B
Schneider
T
T
Izaguirre
J A
JA
Glimm
T
T
Hentschel
H G E
HG
Glazier
J A
JA
Newman
S A
SA
Alber
M S
MS
D000818:Animals; D002417:Cattle; D016923:Cell Death; D002455:Cell Division; D002468:Cell Physiological Phenomena; D008954:Models, Biological; D009024:Morphogenesis / Q000502:physiology*; D010827:Physiology / Q000379:methods