Available at: https://digitalcommons.calpoly.edu/theses/3075
Date of Award
6-2025
Degree Name
MS in Mathematics
Department/Program
Mathematics
College
College of Science and Mathematics
Advisor
Elena Dimitrova
Advisor Department
Mathematics
Advisor College
College of Science and Mathematics
Abstract
To study the complicated structure of a maestro pea seedling root, we investigate three spatial metrics and one functional metric. The spatial metrics are fractal dimension which measures the complexity, convex hull area which measures the occupied space, and Euler characteristic which topologically describes the shape of the root. We discuss the successes of various metrics and the possible limitations they bring to analysis. As a functional metric, we study the rhizosphere: the volume radially around the root branches from which the plant accesses nutrients and water. We investigate the relationship of the rhizosphere to the root, and propose how to analytically determine the radius of the rhizosphere when it has not been found experimentally. These metrics provide a foundation upon which roots can be studied.