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• W642160381 abstract "The paper demonstrates the modelling of the interaction mechanism between the biological tissues and electromagnetic field at mobile communication frequency ranges. The implementing of modified FDTD numerical method using frequency scaled FDTD with Floquet periodic boundary conditions and modified PMLs, the microdosimetric modelling of bioelectromagnetic interactions at cellular level, is established. In order to include the membrane effect on the biological tissues model in the analysis, the LE-FDTD is exploited to embed the lumped element cell-membrane model on the surface of the proposed tissue model in the FDTD computational domain. A new different structures of biological tissues are modeled and discussed, this includes a cluster of cylindrical cells. In order to imitate the effect of periodic replication of assemblages, Floquet periodic boundary conditions are imposed on the proposed model. Thus, the analysis of a large structure of cells is made more computationally efficient than the modeling of the entire structure. The total field distributions were shown in the context. 1. INTRODUCTIO The interest in diagnostic and therapeutic applications of RF/microwaves in Medicine and in the assessment of possible health hazards due to EM radiation have stimulated the development of research streams in both modelling and experiments for evaluating EM power deposition in the interior of the human body or biological system. In order to establish precisely the required safety standard for regulating human exposure to EM waves, different aspects of studying the problem such as tissue level [1–6], cell level [7] and ionic level [8] have been carried out theoretically and experimentally. In this particular research area, the Finite-Difference Time-Domain (FDTD) method has been a overwhelming majority of the numerical techniques to solve various of different electromagnetic problem due to its simplicity and capable to handle complex geometry. This paper is devoted to investigate the EM field distribution over the new proposed cylindrical cells equivalent tissue model by using modified FDTD numerical technique. Different EM approaches have been used to analyze this problem, in particular, the lumped-element FDTD has been implemented to model the cell’s membrane. This was achieved with the use of HodgkinHuxley (HH) model and the Floquet theorem, in order to mimic the infinite model of the tissue and in turn to reduce the computational time. Due to the analysed structure under consideration is considerably smaller than the wavelength of mobile communication frequency GSM900/GSM1800 and also the time steps required for GSM900/GSM1800 frequency involves some millions of iterations, therefore, quasi-static FDTD is exploited to perform the computation of the analysis. The electric field distribution along the centre of the analysed various structures are discussed in which the computational results are found in well agreement with the previous published results [4, 6]. 2. SUMMARY OF THE METHOD Figure 1 shows a simple geometry for the elucidation of three-dimensional periodic boundary implementation. As can be observed, the periodic boundaries are imposed on the xand y-sides of the structures, while modified Absorbing Boundary Conditions (ABCs) [6] are applied to truncate the space lattice along z-axis. The coordinate points (io, jo, ko) and (iN , jM , kp) denote a space point in a uniform rectangular lattice, where io, jo, ko are the smallest lattice grid number in x, y, z direction respectively and iN , jM , kp are the largest lattice gird number in x, y, z direction respectively. Consider the problem space is filled with the lossless medium (σ = 0, eo er and μ = μo) and normal incident plane wave is propagating along z axis. The tangential electric fields distribution on plane i0, iN , j0 and jM are illustrated in Fig. 2. As can be seen, the red arrows are representing the tangential electric field components which are located on edge of the surface plane, while the PIERS ONLINE, VOL. 4, NO. 1, 2008 7 Figure 1: Geometry used in the analysis of 3-D infinite periodic structure illuminated by a normal incident plane wave. black arrows are indicated as the rest of the tangential electric field components which are located on the surface plane. It should be noted that the explanation of the implementation method of the periodic boundary condition into FDTD computation domain in the following context, are based on the normal incidence methods [9, 10], therefore, it is only applicable when the normal incidence plane wave is used. For the sake of simplicity and consistency of explanation of updating equations for the periodic boundary condition on the surfaces of the geometry shown in Fig. 1, the updating equations of the tangential electric components (Ex, Ez and Ey) which are not on the edge of the surface will be firstly to be discussed, and subsequently, the updating equations of the edged tangential electric component (Ez) are demonstrated." @default.
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• W642160381 date "2008-01-01" @default.
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• W642160381 title "Microscopic biological cell level model using modified finite-difference time-domain at mobile radio frequences" @default.
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