
DERIVATION OF FORMULA OF APPROXIMATE IDEALIZED HYPHAL CONTOUR AS BUILT-IN HYPHAL FITTING PROFILE
Author(s) -
Mai Zurwatul Ahlam Mohd Jaffar,
M.B.A. Ayop
Publication year - 2021
Publication title -
matrix science mathematic
Language(s) - English
Resource type - Journals
eISSN - 2521-084X
pISSN - 2521-0831
DOI - 10.26480/msmk.02.2021.39.41
Subject(s) - hypha , representation (politics) , mathematics , biological system , biology , botany , politics , political science , law
Hypha consists of two regions; cap (apex) and cylindrical shaft (subapex and mature combined). The hyphal-cap is the most critical part due to its dominant role in the hyphal-wall growth and mor- phogenesis. Just how the hyphal-wall growth is regulated in order to maintain its tubular shape has been the subject of much research for over 100 years. Here, we derived a formula of approximate idealized hyphal-contour based on gradients of secant lines joining a fixed coor- dinate at the starting hyphal-shaft to any coordinates on the contour. The formula is capable of being a control for experimental analysis in which it is not limited to one specific shape of the hyphal-like cell. Also, it potentially can play a role as built-in or ready-made hyphal-fitting profile that “best fits” microscopic images of various actual hyphal- like cells. In other words, given a microscopic image of hyphal-like cell, mycologists and microbiologists would not have to wonder about mathematical representation of its contour since the formula has pre- pared for it.