Jüri Engelbrecht, Kert Tamm, Tanel Peets. Modelling of Complex Signals in Nerves. Springer, Cham, 2021.
- Step-by-step modelling of a complex physiological process
- Combination of physical, mathematical and physiological descriptions
- Modelling illustrated by numerical simulation with explanations of a code for users
This monograph describes fundamental physical principles, together with their mathematical formulations, for modelling the propagation of signals in nerve fibres. Above all, it focuses on the complex electro-mechano-thermal process that produces an ensemble of waves composed of several components, besides the action potential. These components include mechanical waves in the biomembrane and axoplasm, together with the temperature change. Pursuing a step-by-step approach, the content moves from physics and mathematics, to describing the physiological effects, and finally to modelling the coupling effects.
The assumptions and hypotheses used for modelling, as well as selected helpful concepts from continuum mechanics, are systematically explained, and the modelling is illustrated using the outcomes of numerical simulation. The book is chiefly intended for researchers and graduate students, providing them with a detailed description of how to model the complex physiological processes in nerve fibres.
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