Cynthia J. Musante

Works (3)

Updated: July 5th, 2023 16:03

2000 article

Approximation Methods for Inverse Problems Governed by Nonlinear Parabolic Systems

Banks, H. T., Musante, C. J., & Raye, J. K. (2000, January 1). Numerical Functional Analysis and Optimization.

By: H. Banks*, C. Musante* & J. Raye*

author keywords: inverse problems; nonlinear parabolic systems; approximation techniques; least squares optimization; computational methods
topics (OpenAlex): Numerical methods in inverse problems; Differential Equations and Numerical Methods; Differential Equations and Boundary Problems
TL;DR: A rigorous theoretical framework for approximation of nonlinear parabolic systems with delays in the context of inverse least squares problems is presented and sample numerical results demonstrating the convergence are given. (via Semantic Scholar)
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Source: Web Of Science
Added: August 6, 2018

1999 article

Well-posedness for a class of abstract nonlinear parabolic systems with time delay

Banks, H. T., & Musante, C. J. (1999, March 1). Nonlinear Analysis.

By: H. Banks n & C. Musante n

author keywords: nonlinear parabolic distributed parameter systems with delays; existence; uniqueness; variational form; toxicokinetic modeling; liver transport models
topics (OpenAlex): Advanced Mathematical Modeling in Engineering; Nonlinear Partial Differential Equations; Geometric Analysis and Curvature Flows
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Source: Web Of Science
Added: August 6, 2018

1998 article

A dispersion model for the hepatic uptake and elimination of 2,3,7,8-tetrachlorodibenzo-p-dioxin

Banks, H. T., Musante, C. J., & Tran, H. T. (1998, July 1). Mathematical and Computer Modelling, Vol. 28, pp. 9–29.

By: H. Banks n, C. Musante n & H. Tran n 

author keywords: physiologically-based pharmacokinetic (PBPK) model; 2,3,7,8-tetrachlorodibenzo-p-dioxin (TCDD); liver transport models; nonlinear partial differential equations; delay equations
topics (OpenAlex): Toxic Organic Pollutants Impact; Computational Drug Discovery Methods; Analytical Chemistry and Chromatography
TL;DR: A convection-dispersion model for the uptake and elimination of 2,3,7,8-tetrachlorodibenzo-p-dioxin in the liver is presented and the result is a nonlinear system of seven coupled partial and ordinary differential equations with time delays. (via Semantic Scholar)
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Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

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