Результаты поиска по 'FitzHugh-Nagumo model':
Найдено статей: 2
  1. Borina M.Y., Polezhaev A.A.
    On the mechanisms for formation of segmented waves in active media
    Computer Research and Modeling, 2013, v. 5, no. 4, pp. 533-542

    We suggest three possible mechanisms for formation of segmented waves and spirals. These structures were observed in the Belousov–Zhabotinsky reaction dispersed in a water-in-oil aerosol OT microemulsion. The first mechanism is caused by interaction of two coupled subsystems, one of which is excitable, and the other one has Turing instability depending on the parameters. It is shown that, segmented spirals evolve from ordinary smooth spirals as a result of the transverse Turing instability. We demonstrate that depending on the properties of subsystems different segmented spirals emerge. For the second mechanism we suggest "splitting" of the traveling wave in the vicinity of the bifurcation point of codimension-2, where the boundaries of the Turing and wave instabilities intersect. Finally we show that the segmented waves can emerge in some simple two-component reaction-diffusion models having more than one steady state, particularly in a FitzHugh–Nagumo model.

    Keywords: segmented waves and spirals, excitable media, diffusion instability.
    Citations: 3 (RSCI).
  2. Sukhov V.S., Nerush V.N., Vodeneev V.A.
    An investigation of an action potential propagation in vascular plant using FitzHugh-Nagumo model
    Computer Research and Modeling, 2011, v. 3, no. 1, pp. 77-84

    A two-dimensional system of excitable cells, describing by the FitzHugh-Nagumo model, has been used for a theoretical investigation of an action potential propagation (AP) in vascular plant tissues. It is shown that growth of electrical conductivity between cells increases the AP generation threshold and its propagation velocity in the homogeneous system, which has been formed by equal elements. The plant symplast has been
    described by the heterogeneous system, including elements with low electrical conductivity, which simulate parenchyma cells, and elements with high electrical conductivity, which simulate sieve elements. Analysis of this system shows that the threshold of the AP generation is similar with this threshold in the homogeneous system
    with low electrical conductivity; the velocity of the AP propagation is faster than one in this system.

    Keywords: action potential, vascular plants, FitzHugh-Nagumo model.
    Views (last year): 3. Citations: 4 (RSCI).

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