Summary
We (and others) have spent considerable effort over the last decade to develop continuum models partial differential equations (PDEs) of cell-populated collagen gels. These models have a number of advantages: they are relatively simple and easy to solve, they resemble transport equations familiar to engineers, and they are a natural description of the material on the scale of interest. There have, however, been recent advances in understanding the behavior of individual cells or fibrils. We are thus exploring ways to incorporate discrete cell/fibril information into our continuum model in a logical and tractable way.
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Rice, R.B., Barocas, V.H. (2003). A Discrete-cell Model of Tissue-equivalent Compaction. In: Alt, W., Chaplain, M., Griebel, M., Lenz, J. (eds) Polymer and Cell Dynamics. Mathematics and Biosciences in Interaction. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8043-5_18
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DOI: https://doi.org/10.1007/978-3-0348-8043-5_18
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