In a recent paper , plant growth and branching were modeled using a rod-based theory featuring Euler’s elastica. This work extended the works of Goreily et al.  and Silk et al.  on this topic. Special features of the model developed in  included an evolution equation for the flexural rigidity EI and intrinsic curvature νo and the use of an intermediate (growth) configuration.
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An Evolution Equation for Plant Growth
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O’Reilly, OM, & Tresierras, TN. "An Evolution Equation for Plant Growth." Proceedings of the ASME 2009 Summer Bioengineering Conference. ASME 2009 Summer Bioengineering Conference, Parts A and B. Lake Tahoe, California, USA. June 17–21, 2009. pp. 1143-1144. ASME. https://doi.org/10.1115/SBC2009-206770
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