One-dimensional coupled ODE-PDE models for fungal growth
Bhartia, Aditya
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https://hdl.handle.net/2142/124127
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
Language
eng
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.
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