Abstract
An explicit high-order, symplectic, finite-difference time-domain (SFDTD) scheme is applied to a bioelectromagnetic simulation using a simple model of a pregnant woman and her fetus. Compared to the traditional FDTD scheme, this scheme maintains the inherent nature of the Hamilton system and ensures energy conservation numerically and a high precision. The SFDTD scheme is used to predict the specific absorption rate (SAR) for a simple model of a pregnant female woman (month 9) using radio frequency (RF) fields from 1.5 T and 3 T MRI systems (operating at approximately 64 and 128 MHz, respectively). The results suggest that by using a plasma protective layer under the 1.5 T MRI system, the SAR values for the pregnant woman and her fetus are significantly reduced. Additionally, for a 90 degree plasma protective layer, the SAR values are approximately equal to the 120 degree layer and the 180 degree layer, and it is reduced relative to the 60 degree layer. This proves that using a 90 degree plasma protective layer is the most effective and economical angle to use.
Highlights
Because the protection of a pregnant woman and her fetus is very important, the algorithm that is used in mother/fetus modeling and simulation must have a high precision and must be numerically stable.The Finite Different Method (FDM), Finite Element Method (FEM) and Finite Volume Method (FVM) can be used for calculating the specific absorption rate (SAR) values of the mother/ fetus model
The FDM is better for processing the simplified geometries, the FEM and FVM are not necessary for the calculation of the mother/ fetus model
A long-term simulation is performed with CFL~0:48 and the length of one space-step D~1 cm, for which is the 10th part of a wavelength
Summary
Because the protection of a pregnant woman and her fetus is very important, the algorithm that is used in mother/fetus modeling and simulation must have a high precision and must be numerically stable. The Finite Different Method (FDM), Finite Element Method (FEM) and Finite Volume Method (FVM) can be used for calculating the SAR values of the mother/ fetus model. The FEM is more precise caused by the possibility to use high-order approximations. Since the methods for the high-order calculations of the PLOS ONE | DOI:10.1371/journal.pone.0114425. Since the methods for the high-order calculations of the PLOS ONE | DOI:10.1371/journal.pone.0114425 December 10, 2014
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