One-dimensional coupled ODE-PDE models for fungal growth

This research thesis is a study of the growth of a family of fungal colonies, based on the growth of the fungal hyphae and tips, branching type, anastomosis type, and death of the hyphae and tips. The research model has been adapted from the reference paper by Dr. Leah Edelstein. We decided to incorporate hyphal death in our analytical calculations, analyze the model using different methods, and compare the observations with the results produced in the original paper. It would give us a more realistic understanding of the system’s feasibility in actually representing a fungal colony. For analyzing the system, we have used the method of nullclines, linear stability analysis, and computer simulations. We found that the results produced in the absence of hyphal death are very close and similar to the results produced when they are ignored.

Name thesis:degree_name

M.S.

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Applied Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2024

Author dc:creator

• Bhartia, Aditya

Contributors dc:contributor

• Rapti, Zoi

• Fungi
• Ode-pde
• Transport Equation
• Traveling Wave Solution
• Edelstein
• Analysis
• Matlab
• Death
• Growth
• Hyphae
• Tip

Statement dc:rights

• Copyright 2024 Aditya Bhartia

Language dc:language

en, eng

Handle dc:identifier

https://hdl.handle.net/2142/124184

OAI record oai:identifier

https://www.ideals.illinois.edu/oai-pmh?verb=GetRecord&metadataPrefix=etdms&identifier=oai%3Awww.ideals.illinois.edu%3A2142%2F124184