Mathematical Model of FHXWBranching Type with Hyphal Death

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.