Abboud, Shimon, Arbel, Michael, Rosenfeld, Moshe, Udom-Rice, Izuka, Skupski, Dan, Friedman, Deborah, Chervenak, Frank A. (1999)
Journal of Theoretical Medicine
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Andrei Irimia (2008)
Applications of Mathematics
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The bioelectric current dipole model is important both theoretically and computationally in the study of electrical activity in the brain and stomach due to the resemblance of the shape of these two organs to an ellipsoid. To calculate the magnetic field due to a dipole in an ellipsoid, one must evaluate truncated series expansions involving ellipsoidal harmonics , which are products of Lamé functions. In this article, we extend a strictly analytic model (G. Dassios and F. Kariotou,...
Dassios, George, Kariotou, Fotini (2004)
Abstract and Applied Analysis
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Dupré, Luc R., Van Keer, Roger, Melkebeek, Jan A.A. (1997)
Mathematical Problems in Engineering
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Pradhan, Anirudh, Yadav, Padmini (2009)
International Journal of Mathematics and Mathematical Sciences
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Bisnovatyi-Kogan, G. S. (2001)
Discrete Dynamics in Nature and Society
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Crooke, P.S., Marini, J.J., Hotchkiss, J.R. (2002)
Journal of Theoretical Medicine
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Olivera Jovanović, Dimitar Jurukovski (1997)
The Yugoslav Journal of Operations Research
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Zhan Chen (2015)
Molecular Based Mathematical Biology
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Differential geometry (DG) based solvation models have shown their great success in solvation analysis by avoiding the use of ad hoc surface definitions, coupling the polar and nonpolar free energies, and generating solvent-solute boundary in a physically self-consistent fashion. Parameter optimization is a key factor for their accuracy, predictive ability of solvation free energies, and other applications. Recently, a series of efforts have been made to improve the parameterization...
Baihua Ren, Jaydeep P. Bardhan (2017)
Molecular Based Mathematical Biology
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Nonlocal continua have been proposed to offer a more realistic model for the electrostatic response of solutions such as the electrolyte solvents prominent in biology and electrochemistry. In this work, we review three nonlocal models based on the Landau-Ginzburg framework which have been proposed but not directly compared previously, due to different expressions of the nonlocal constitutive relationship. To understand the relationships between these models and the underlying physical...