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A cellular automaton for modeling non-trivial biomembrane ruptures

Abhay Gupta, Ganna Reint, Irep Gözen, View ORCID ProfileMichael Taylor
doi: https://doi.org/10.1101/429548
Abhay Gupta
1Department of Mechanical Engineering, Santa Clara University, Santa Clara, California, USA
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Ganna Reint
2Centre for Molecular Medicine Norway, Faculty of Medicine, University of Oslo, 0318 Oslo, Norway
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Irep Gözen
2Centre for Molecular Medicine Norway, Faculty of Medicine, University of Oslo, 0318 Oslo, Norway
3Department of Chemistry, Faculty of Mathematics and Natural Sciences, University of Oslo, 0315 Oslo, Norway
4Department of Chemistry, Faculty of Mathematics and Natural Sciences, University of Oslo, 0315 Oslo, Norway department of Chemistry and Chemical Engineering, Chalmers University of Technology, SE-412 96 Göteborg, Sweden
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Michael Taylor
1Department of Mechanical Engineering, Santa Clara University, Santa Clara, California, USA
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Abstract

A novel cellular automaton (CA) for simulating biological membrane rupture is proposed. Constructed via simple rules governing deformation, tension, and fracture, the CA incorporates ideas from standard percolation models and bond-based fracture methods. The model is demonstrated by comparing simulations with experimental results of a double bilayer lipid membrane expanding on a solid substrate. Results indicate that the CA can capture non-trivial rupture morphologies such as floral patterns and the saltatory dynamics of fractal avalanches observed in experiments. Moreover, the CA provides insight into the poorly understood role of inter-layer adhesion, supporting the hypothesis that the density of adhesion sites governs rupture morphology.

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Posted September 27, 2018.
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A cellular automaton for modeling non-trivial biomembrane ruptures
Abhay Gupta, Ganna Reint, Irep Gözen, Michael Taylor
bioRxiv 429548; doi: https://doi.org/10.1101/429548
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A cellular automaton for modeling non-trivial biomembrane ruptures
Abhay Gupta, Ganna Reint, Irep Gözen, Michael Taylor
bioRxiv 429548; doi: https://doi.org/10.1101/429548

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