Abstract by Nathaniel Neubert
Modeling the Young\'s Modulus of Collagen Lattices
The organization of collagen fibers within the various connective tissues of the body plays an important role in the functionality of the organs they support. Each connective tissue exhibits varied fiber connectivity, nodal concentrations and fiber orientations resulting in many functionally diverse tissues despite the similarity of their compositions. Improving our understanding of collagen fiber organization within connective tissues will provide insights into bioengineering, wound care and other medical sciences. In this project we use lattices consisting of a grid of randomly placed nodes joined by springs representing the intersections of fibers and the fibers themselves. By parameterizing the randomly generated lattices, we will examine how varied nodal connectivity, nodal density and orientation affect the Young's modulus of the lattice.