 COARSE GRAINING IN SIMULATED CELL POPULATIONSDirk Drasdo ()
Advances in Complex Systems (ACS), 2005, vol. 08, issue 02n03, 319-363 Abstract: The main mechanisms that control the organization of multicellular tissues are still largely open. A commonly used tool to study basic control mechanisms arein vitroexperiments in which the growth conditions can be widely varied. However, evenin vitroexperiments are not free from unknown or uncontrolled influences. One reason why mathematical models become more and more a popular complementary tool to experiments is that they permit the study of hypotheses free from unknown or uncontrolled influences that occur in experiments. Many model types have been considered so far to model multicellular organization ranging from detailed individual-cell based models with explicit representations of the cell shape to cellular automata models with no representation of cell shape, and continuum models, which consider a local density averaged over many individual cells. However, how the different model description may be linked, and, how a description on a coarser level may be constructed based on the knowledge of the finer, microscopic level, is still largely unknown. Here, we consider the example of monolayer growthin vitroto illustrate how, in a multi-step process starting from a single-cell based off-lattice-model that subsumes the information on the sub-cellular scale by characteristic cell-biophysical and cell-kinetic properties, a cellular automaton may be constructed whose rules have been chosen based on the findings in the off-lattice model. Finally, we use the cellular automaton model as a starting point to construct a multivariate master equation from a compartment approach from which a continuum model can be derived by a systematic coarse-graining procedure. We find that the resulting continuum equation largely captures the growth behavior of the CA model. The development of our models is guided by experimental observations on growing monolayers. Keywords: Tumor growth; monolayer growth; mathematical modeling; individual-based model; stochastic model; cellular automaton; coarse graining; multi-scale; master equation; Fisher–KPP equation (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:wsi:acsxxx:v:08:y:2005:i:02n03:n:s0219525905000440 Ordering information: This journal article can be ordered from DOI: 10.1142/S0219525905000440 Access Statistics for this article Advances in Complex Systems (ACS) is currently edited by Frank Schweitzer More articles in Advances in Complex Systems (ACS) from World Scientific Publishing Co. Pte. Ltd. |
Is your work missing from RePEc? Here is how to contribute.
Questions or problems? Check the EconPapers FAQ or send mail to .
EconPapers is hosted by the
School of Business at Örebro University.