Culture analysis and external interaction models of mycelial growth
type: Item
instance of: scholarly article
title: Culture analysis and external interaction models of mycelial growth
zbMATH Open document ID: 0817.92003
DOI: 10.1007/BF02460715
author: C. Indermitte
author: H. Clémençon
author: Thomas M. Liebling
published in: Bulletin of Mathematical Biology
publication date: 1994-11-28T00:00:00Z
review text: This paper reports on a joint project by biologists and mathematicians to describe and model morphogenetic aspects of mycelial growth mechanisms. The life cycle of a fungus starts with the germination of a spore leading to a mycelium. The mycelium has a tendency to form a circular growth front, which enables it to uniformly explore its medium. Certain questions arise concerning the underlying mechanisms of this behavior: (1) How does circularization happen? (2) Do different fungal species follow different circularization stragegies? (3) Do different culture conditions change circularization behavior? (4) Can the branching patterns and circularization behaviors be linked to known physiological and cytological observations, such as the relations between the growth rates of leading hyphae and secondary and tertiary hyphae; the occurrence of physiological delimiters within the mycelial cells, such as sealed cross walls, or large vacuoles? We study the morphogenesis of young developing mycelia through direct observation of growth patterns and through their mathematical models. We describe observations of the zygomycete Mucor spinosus (which was chosen for its easy handling) that show how the young mycelium occupies the surface of its culture medium. In particular we introduce parameters to quantify the efficiency of territory occupation. These parameters measure circularization, branching rate, growth rates of primary, secondary and tertiary hyphae, and the choice of growth direction. We present a growth model without interaction with the medium that yields closed form expressions for several quantities of interest as function of the model parameters and finally we report simulation models based on interactions between hyphae exclusively through the surrounding medium via secretion, diffusion and detection of some inhibitory substance. Although it is very likely that branching of the hyphae is affected by certain internal messages traveling within the mycelium, we first …
Mathematics Subject Classification ID: 92C15
zbMATH DE Number: 682046
zbMATH Keywords: discrete models of two-dimensional filamental branching growth
zbMATH Keywords: Markovian growth model
zbMATH Keywords: mycelial growth mechanisms
zbMATH Keywords: morphogenesis
zbMATH Keywords: Mucor spinosus
zbMATH Keywords: territory occupation
zbMATH Keywords: circularization
zbMATH Keywords: branching rate
zbMATH Keywords: growth rates
zbMATH Keywords: simulation models
zbMATH Keywords: hyphal growth
Wikidata QID: Q52374513
MaRDI profile type: Publication
cites work: Q3236921
cites work: Q3992578
cites work: Models for Branching Networks in Two Dimensions
description: scientific article; zbMATH DE number 682046