Mathematical Model of  FHXWBranching Type with Hyphal Death

Mudhafar Habeeb Zmakh; Ali H Shuaa Al-Taie

doi:10.24297/jam.v12i4.348

Authors

Mudhafar Habeeb Zmakh College of Education for Pure Science, Thi-Qar University, Thi-Qar,
Ali H Shuaa Al-Taie College of Education, Wasit University, Wasit , Iraq

DOI:

https://doi.org/10.24297/jam.v12i4.348

Keywords:

Hyphaldeath, Dichotomous branching, Lateral branching, Tip-hypha anastomosis, Tip-tip anastomosis, Tip death, Tip death due to overcrowding.

Abstract

A mathematical description of growth and branching in fungi can be derived in terms of continuous variables such as densities of filaments and tips. The general concept of continuum modeling yields the following equations of fungal growth in which a balance is kept for the accumulation of hyphal filaments and their tips.Hyphae are immobile. They are created only through the motion of tips-essentially the trail left behind tips as they moves. The rate of local length accumulation depends on the number of tips and branches present as well as on their rate of motion.