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Linear stability analysis of morphodynamics during tissue regeneration in plants

2018/06/21 by Anne-Mieke Reijne, Gunnar Pruessner, Ignacio Bordeu +1 · 1 citation
Agricultural and Biological Sciences · Biochemistry, Genetics and Molecular Biology · #Beach morphodynamics #Dynamics (music) #Multicellular organism #Plant Molecular Biology Research #Plant Reproductive Biology #Plant and Biological Electrophysiology Studies #Process (computing) #Regeneration (biology) #Stability (learning theory) #q-bio.TO

paper · pdf · doi:10.1088/1361-6463/aaf68e

published in Journal of Physics D Applied Physics 52(8), 084002 (Institute of Physics) · 18 pages, 11 figures, 1 table. Typos fixed, added one ref, improved some figure labels

arxiv created 2018/06/21 · openalex created_date 2018/06/21 · openalex publication_date 2018/12/06 · arxiv updated 2019/05/22 · openalex updated_date 2026/08/06

Abstract

Abstract One of the key characteristics of multicellular organisms is the ability to establish and maintain shapes, or morphologies, under a variety of physical and chemical perturbations. A quantitative description of the underlying morphological dynamics is a critical step to fully understand the self-organising properties of multicellular systems. Although many powerful mathematical tools have been developed to analyse stochastic dynamics, rarely these are applied to experimental developmental biology. Here, we take root tip regeneration in the plant model system Arabidopsis thaliana as an example of robust morphogenesis in living tissue, and present a novel approach to quantify and model the relaxation of the system to its unperturbed morphology. By generating and analysing time-lapse series of regenerating root tips captured with confocal microscopy, we are able to extract and model the dynamics of key morphological traits at cellular resolution. We present a linear stability analysis of its Markovian dynamics, with the stationary state representing the intact root in the space of morphological traits. This analysis suggests the intriguing co-existence of two distinct temporal scales during the process of root regeneration in Arabidopsis . We discuss the possible biological implications of our specific results, and suggest future experiments to further probe the self-organising properties of living tissue.

Citations