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Applied Mathematics of Science and Engineering

Charles Dixon
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The article was published on 1971-01-01 and is currently open access. It has received 7 citations till now. The article focuses on the topics: Engineering mathematics & Informatics engineering.

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Book ChapterDOI

Mechanism of Irreversible Electroporation in Cells: Insight from the Models

TL;DR: Irreversible electroporation’s ability to create a complete and predictable cell ablation with a sharp transition between normal and necrotic tissue, while sparing neighboring blood vessels, connective tissue, and nerves, has great advantages in a variety of medical applications.
Journal ArticleDOI

Bioturbation, advection, and diffusion of a conserved tracer in a laboratory flume

TL;DR: In this article, the relative influences of advection, diffusion, and bioturbation on transport of NaCl tracer between a stream and streambed are described, where data were collected in a recirculating flume housing a box filled with test sediments.
Journal ArticleDOI

Asymptotic model of electrical stimulation of nerve fibers

TL;DR: A computationally efficient algorithm is created that facilitates studies of the complete spatiotemporal dynamics of nerve fibers in three dimensions and predicts steady-state transmembrane potential directly under the electrodes with the root mean square error.
Journal ArticleDOI

Activating function of needle electrodes in anisotropic tissue.

TL;DR: An analytical solution for the electrical potential and activating function established by cylindrical needle electrodes in anisotropic tissue shows that when the fiber is two needle diameters away from the electrodes, the maximum of the AF for needle electrodes is 1.43-times larger than for line-source electrodes, which results in lower thresholds for stimulation and electroporation.
Journal ArticleDOI

Simulation of transient thermal states in layered electronic microstructures

TL;DR: The mathematical function which describes the instantaneous temperature changes was presented in this paper in order to provide more accurate analysis of reliability and thermal properties measurement problems.