Modeling the growth and branching of plants: A simple rod-based model |
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| Authors: | Nur Adila Faruk Senan Timothy N Tresierras |
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| Institution: | Department of Mechanical Engineering, University of California at Berkeley, 6137 Etcheverry Hall, Berkeley, CA 94720, USA |
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| Abstract: | A rod-based model for plant growth and branching is developed in this paper. Specifically, Euler's theory of the elastica is modified to accommodate growth and remodeling. In addition, branching is characterized using a configuration force and evolution equations are postulated for the flexural stiffness and intrinsic curvature. The theory is illustrated with examples of multiple static equilibria of a branched plant and the remodeling and tip growth of a plant stem under gravitational loading. |
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| Keywords: | Biological material Wood material Thermomechanical process Stability and bifurcation Buckling |
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