Abstract
This chapter describes a new method for simulating grid-free multicellular structures, in which the three-dimensional shape of each cell is dynamically adaptive to its local environment. This is achieved by constructing each cell from “subcellular elements.” I describe in detail the underlying mathematical equation of motion for the elements, and the additional algorithms which allow for cell growth and cell division. The model is illustrated with the simple example of a growing three dimensional cluster of cells.
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© 2007 Birkhäuser Verlag Basel/Switzerland
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Newman, T.J. (2007). Modeling Multicellular Structures Using the Subcellular Element Model. In: Anderson, A.R.A., Chaplain, M.A.J., Rejniak, K.A. (eds) Single-Cell-Based Models in Biology and Medicine. Mathematics and Biosciences in Interaction. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8123-3_10
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DOI: https://doi.org/10.1007/978-3-7643-8123-3_10
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8101-1
Online ISBN: 978-3-7643-8123-3
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