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This paper describes the development of a simple model of a human B cell in suspension to predict the coupling frequency of a time varying external electric field to the nucleoplasm while minimizing any significant effects on the plasma membrane and nuclear envelope. The approach is based on the measured parameters for two-shelled model in the literature. The two-shelled model solves the Laplace's equation and assumes continuity of complex current and potential at each interface. The model is first solved using the symbolic feature in MATLAB. Using the complex current continuity boundary condition, we determine a simplified series equivalent circuit that is applicable to a specific frequency range, where most of the absorbed power in the cell occurs in the nucleoplasm. A smaller portion of the absorbed power occurs in the cytoplasm. The modeling also provides predictions of the operating frequency range for maximally selective energy targeting at the nucleoplasm.
Date of Publication: Aug. 2008