BYU

Abstract by Nathaniel Neubert

Personal Infomation


Presenter's Name

Nathaniel Neubert

Degree Level

Undergraduate

Abstract Infomation


Department

Mathematics

Faculty Advisor

John Dallon
Emily Evans

Title

Modeling the Young\'s Modulus of Collagen Lattices

Abstract

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.