2019/03/08 by Thomas Geert de Jong, de Jong, Thomas, Josephus Hulshof +3
Agricultural and Biological Sciences · Biochemistry, Genetics and Molecular Biology · #76Z99 #92C10 #Biological Physics (physics.bio-ph) #Cell Behavior (q-bio.CB) #Dynamical Systems (math.DS) #FOS: Biological sciences #FOS: Mathematics #FOS: Physical sciences #Fungal and yeast genetics research #Plant Reproductive Biology #Polysaccharides and Plant Cell Walls
paper · pdf · doi:10.48550/arxiv.1903.03565
openalex publication_date 2019/03/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we present a new model for single-celled, non-branching hypha tip growth. The growth mechanism of hypha cells consists of transport of cell wall building material to the cell wall and subsequent incorporation of this material in the wall as it arrives. To model the transport of cell wall building material to the cell wall we follow Bartnicki-Garcia et al in assuming that the cell wall building material is transported in straight lines by an isotropic point source. To model the dynamics of the cell wall, including its growth by new material, we use the approach of Campas and Mahadevan, which assumes that the cell wall is a thin viscous sheet sustained by a pressure difference. Furthermore, we include a novel equation which models the hardening of the cell wall as it ages. We present numerical results which give evidence that our model can describe tip growth, and briefly discuss validation aspects.