|
|
 |
 |
Elastic Growth in Biology
Rebecca Vandiver
UA
|
Elastic Growth in Biology Rebecca Vandiver UA |
|
ABSTRACT Growth plays a key role in many fundamental biological processes. In the theory of elastic growth, the growth process can be modeled as a sequence of incremental steps, where each step consists of a local addition of material followed by an elastic response to ensure integrity and compatibility of the body. These incremental growth steps are compounded as time evolves. I will focus on how to model the overall cumulative growth and whether a continuous description of this process is possible. The formulation of growth is studied in the case of three-dimensional nonlinear elastic bodies and applied to specific geometries relevant in many physiological and biological systems (such as the cylindrical growth of arteries and stems). |