introduction: direction and latency of electrical connectivity between different sites of brain explains brain neural functionality. we compared efficiency of cross correlation and phase locking methods in time lag estimation which are based on local field potential (lfp) and lfpspike signals, respectively. methods: signals recorded from mt area of a macaque’s brain was used in a simulation app...

We consider the system of dual-phase-lag heat conduction proposed by Tzou [21]. First, we prove that the solutions of the problem are generated by a semigroup of quasicontractions. Thus, the problem of third-order in time is well-posed. Then the exponential stability is investigated. Finally the spatial behavior of solutions is analyzed in a semi-infinite cylinder.

The current paper is dealing with the thermal reaction and response of skin tissue subjected to a constant heat flux due thermo-electrical shock on bounding plane. dual-phase-lag bio conduction equation based Tzou model has been applied solved in Laplace transform domain by using direct method. numerical inversions transform, solution obtained. thermos-electrical for small value time considered...

In the present work, three different modes of heat conduction, diffusion, thermal wave, and dual-phase lag, across a thin layer subjected to constant temperature insulated boundary conditions are compared by using finite element solution. The model is developed considering relaxation time flux gradient for single element. After assembling all elements, number algebraic equations obtained solved...

Lagging models of heat conduction, such as the Dual-Phase-Lag or the Single-Phase-Lag models, lead to heat conduction equations in the form of partial differential equations with delays or to partial differential equations of hyperbolic type, and have been considered to model microscale heat transfer in engineering problems or bio-heat transfer in medical treatments. In this work we obtain expl...