Abstract
Growth is involved in many fundamental biological processes such as morphogenesis, physiological regulation, or pathological disorders. It is, in general, a process of enormous complexity involving genetic, biochemical, and physical components at many different scales and with complex interactions. The purpose of this paper is to provide a simple introduction to the modeling of elastic growth. We first consider systems in one-dimensions (suitable to model filamentary structures)to introduce the key concepts. Second, we review the general three-dimensional theory and show how to apply it to the growth of cylindrical structures. Different possible growth mechanisms are considered.
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Goriely, A., Robertson-Tessi, M., Tabor, M., Vandiver, R. (2008). Elastic Growth Models. In: Mondaini, R.P., Pardalos, P.M. (eds) Mathematical Modelling of Biosystems. Applied Optimization, vol 102. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76784-8_1
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DOI: https://doi.org/10.1007/978-3-540-76784-8_1
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