ArticlePloS one2014
An active poroelastic model for mechanochemical patterns in protoplasmic droplets of Physarum polycephalum.
Article in PloS one, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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10 citing papers in PubMed, 50 citations in OpenAlex.
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- Adaptive behaviour and learning in slime moulds: the role of oscillations.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2021Article
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- Oscillatory fluid flow drives scaling of contraction wave with system size.Proceedings of the National Academy of Sciences of the United States of America · 2018Article
- Self-organized mechano-chemical dynamics in amoeboid locomotion ofJournal of physics D: Applied physics · 2017Article
- Patterns of cell thickness oscillations during directional migration of Physarum polycephalum.European biophysics journal : EBJ · 2015Article
- Coordination of contractility, adhesion and flow in migrating Physarum amoebae.Journal of the Royal Society, Interface · 2015Article
- An active poroelastic model for mechanochemical patterns in protoplasmic droplets of Physarum polycephalum.PloS one · 2014Article
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Authors and funding
3 authors at 2 institutions in 1 country.
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Abstract
Motivated by recent experimental studies, we derive and analyze a two-dimensional model for the contraction patterns observed in protoplasmic droplets of Physarum polycephalum. The model couples a description of an active poroelastic two-phase medium with equations describing the spatiotemporal dynamics of the intracellular free calcium concentration. The poroelastic medium is assumed to consist of an active viscoelastic solid representing the cytoskeleton and a viscous fluid describing the cytosol. The equations for the poroelastic medium are obtained from continuum force balance and include the relevant mechanical fields and an incompressibility condition for the two-phase medium. The reaction-diffusion equations for the calcium dynamics in the protoplasm of Physarum are extended by advective transport due to the flow of the cytosol generated by mechanical stress. Moreover, we assume that the active tension in the solid cytoskeleton is regulated by the calcium concentration in the fluid phase at the same location, which introduces a mechanochemical coupling. A linear stability analysis of the homogeneous state without deformation and cytosolic flows exhibits an oscillatory Turing instability for a large enough mechanochemical coupling strength. Numerical simulations of the model equations reproduce a large variety of wave patterns, including traveling and standing waves, turbulent patterns, rotating spirals and antiphase oscillations in line with experimental observations of contraction patterns in the protoplasmic droplets.
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