Modeling of complex signals in nerve fibers

Temperature changes accompanying signal propagation in axons

“…(9) in time with F 3 ∝ Z 2 (Fig. 2, right panel) takes into account expression (7). Finally it seems prudent to emphasize where, exactly, is this temperature change modelled on axon in the presented framework as normally the experimental measurements for the phenomenon are performed close to the axon wall outside of the axon itself.…”

“…The coupled system of model equations has been previously proposed by the authors for describing the nerve pulse (action potential (AP)) propagation including the accompanying mechanical effects (pressure wave (PW) and longitudinal density change in the lipide bi-layer (LW)) [4][5][6][7]14]. In this paper, the temperature effects which accompany the propagation of an AP in the axoplasm, are also described.…”

“…In this paper, the temperature effects which accompany the propagation of an AP in the axoplasm, are also described. The dimensionless 1D model used so far [4][5][6][7]14] is the following:…”

“…It is of great interest to formulate the mathematical basis for calculating the heat production or temperature changes given these experimental assumptions. In our earlier studies [4][5][6][7]14] a system of differential equations is derived in order to model the action potential (AP) and accompanying mechanical effects -pressure wave (PW) in axoplasm, longitudinal (LW) and transverse (TW) waves in the surrounding biomembrane. This system will here be enlarged by including the temperature (Θ) effects.…”

Mathematics of nerve signals

“…There are several proposals to build up a joint system [13,38]. To the best knowledge of authors, the ideas to compose the system of governing differential equation are proposed by Engelbrecht et al [18,19,21]. Further we represent their model based on results described in Sections 2-5.…”