Abstract
We present the simulation results of a comprehensive model based on cellular automata that describes the dynamic behavior of a population of mammalian cells that migrate and proliferate to fill a three-dimensional scaffold. The model is applied to study how cell migration and the density or spatial distribution of seed cells affect the cell proliferation rates. A large number of system parameters allow for a detailed simulation of the population dynamics of migrating and proliferating cells. This permits the exploration of the relative influence of these parameters on the proliferation rate and some other aspects of cell behavior such as the average speed of locomotion and the collision rate.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ben Youssef, B.: Cell Proliferation and Migration: 3-D Modeling Using Cellular Automata, Development of a Parallel Algorithm and Its Implementation on an IBM SP2. Ph.D. Dissertation. University of Houston (1999)
Ben Youssef, B., Markenscoff, P., Zygourakis, K.: A Computational Model for Tissue Regeneration and Wound Healing. In: Proceedings of the Third Chemical Engineering Symposium, Athens, Greece, vol. 2, pp. 1133–1136 (2001)
Bratley, P., Fox, B.L., Schrage, L.E.: A Guide to Simulation, 2nd edn. Springer, New York (1987)
Chopard, B., Droz, M.: Cellular Automata Modeling of Physical Systems. Cambridge University Press, Cambridge (1998)
Langer, R., Vacanti, J.P.: Tissue Engineering. Science 260(5110), 920–926 (1993)
Lee, Y., Markenscoff, P., McIntire, L.V., Zygourakis, K.: Characterization of Endothelial Cell Locomotion Using a Markov Chain Model. Biochemistry and Cell Biology 73, 461–472 (1995)
Lehmer, D.H.: Mathematical Methods in Large-Scale Computing Units. The Annals of the Computation Laboratory of Harvard University 26, 141–146 (1951)
Toffoli, T., Margolus, N.: Cellular Automata Machines: A New Environment for Modeling. The MIT Press, Cambridge (1987)
Zygourakis, K., Bizios, R., Markenscoff, P.: Proliferation of Anchorage-Dependent Contact-Inhibited Cells: I. Development of Theoretical Models Based on Cellular Automata. Biotechnology and Bioengineering 38(5), 459–470 (1991)
Zygourakis, K., Markenscoff, P., Bizios, R.: Proliferation of Anchorage-Dependent Contact-Inhibited Cells: II. Experimental Results and Validation of the Theoretical Models. Biotechnology and Bioengineering 38(5), 471–479 (1991)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ben Youssef, B. (2004). Simulation of Cell Population Dynamics Using 3-D Cellular Automata. In: Sloot, P.M.A., Chopard, B., Hoekstra, A.G. (eds) Cellular Automata. ACRI 2004. Lecture Notes in Computer Science, vol 3305. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30479-1_58
Download citation
DOI: https://doi.org/10.1007/978-3-540-30479-1_58
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-23596-5
Online ISBN: 978-3-540-30479-1
eBook Packages: Springer Book Archive