Abstract
Neuronal membrane undergoes mechanical deformations in response to electrical pulse or mechanical influence. We propose a one-dimensional mathematical minimal model that describes propagation and dissipation of the deformations. The model is based on fluid dynamics equations and uses the Lippmann equation to connect electrical effects with membrane elasticity. The effects of internal heterogeneity of neuron, e.g. cytoskeleton, on mechanical deformations and pressure waves is investigated and specified as relaxation. The pressure in response to the mechanical disturbance of the neuron is compared to known experiment.
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Acknowledgments
The study has been supported by the Russian Science Foundation (the grant No. 21-15-00416).
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Kotikova, M.R., Chizhov, A.V. (2022). Propagation and Relaxation of Neuronal Membrane Mechanical Deformations in Mathematical Model. In: Kryzhanovsky, B., Dunin-Barkowski, W., Redko, V., Tiumentsev, Y., Klimov, V.V. (eds) Advances in Neural Computation, Machine Learning, and Cognitive Research V. NEUROINFORMATICS 2021. Studies in Computational Intelligence, vol 1008. Springer, Cham. https://doi.org/10.1007/978-3-030-91581-0_22
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DOI: https://doi.org/10.1007/978-3-030-91581-0_22
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