Mathematical Analysis of a Fungal Growth Model: Analyzing the Dynamics of Branching, Tip Death, and Substrate
DOI:
https://doi.org/10.71285/icpt.v3i2.71Ключевые слова:
Mathematical model, Tip death, Tip death due to overcrowding, Tip death Substrate, Traveling wave, Stability analysis.Аннотация
This research explores the mechanisms of fungal growth and branching mathematical modeling, focusing on the complex mycelia network. The model aims to understand how the fungal network's structure is influenced by several key biological factors, most importantly :
1- The effect of the substrate (nutrient source) as the energy source for growth.
2- Lateral branching of the hyphae.
3- Tip death.
4- Tip death due to overcrowding.
To analyze theses dynamics, a system of three dimensional partial differential equation (PDEs) is employed. This mathematical model is solved using a range of advanced techniques, including stability theory, traveling wave analysis, and numerical solutions. Specialized software, such as MATLAB (using the pdepe solver) and Maple, is also utilized to aid in implementing numerical solutions and verifying the system's stability.
The primary objective of this research is to understand how these biological factors interact and how such models can contribute to saving time, effort, and costs in applied biological research.
Библиографические ссылки
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Growth ,M.S.C thesis ,
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