One-dimensional coupled ODE-PDE models for fungal growth

Bhartia, Aditya

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https://hdl.handle.net/2142/124127 Copy

Description

Title

One-dimensional coupled ODE-PDE models for fungal growth

Author(s)

Bhartia, Aditya

Issue Date

2023-12-08

Director of Research (if dissertation) or Advisor (if thesis)

Rapti, Zoi

Department of Study

Mathematics

Discipline

Applied Mathematics

Degree Granting Institution

University of Illinois at Urbana-Champaign

Degree Name

M.S.

Degree Level

Thesis

Keyword(s)

• Fungi
• ODE-PDE
• Transport Equation
• Traveling Wave Solution
• Edelstein
• Analysis
• MATLAB
• death
• growth
• hyphae
• tip

Abstract

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.

Graduation Semester

2024-05

Type of Resource

Thesis

Copyright and License Information

Copyright 2024 Aditya Bhartia

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