Abstract
In this chapter we describe a discrete continuum hybrid method applied to two biological systems. The cells are modeled as discrete objects which are free to move in space (lattice-free), the forces which act on the cells are applied to their center of mass (center-based), and the cells interact with something represented as a continuum variable. Dictyostelium discoideum is the first system modeled by the method. The cells move and communicate with each other through a diffusible chemical. In the second system, scar tissue formation, the cells interact with the extracellular matrix which is represented as a continuous vector field.
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© 2007 Birkhäuser Verlag Basel/Switzerland
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Dallon, J.C. (2007). Models with Lattice-free Center-based Cells Interacting with Continuum Environment Variables. 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_9
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DOI: https://doi.org/10.1007/978-3-7643-8123-3_9
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-8101-1
Online ISBN: 978-3-7643-8123-3
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Keywords
- Dictyostelium Discoideum
- Scar Tissue Formation
- Continuous Vector Field
- Continuum Environment
- Continuum Hybrid
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.