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Mathematical Analysis of a Non-Local Mixed ODE-PDE Model for Tumor Invasion and Chemotherapy
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Anderson L. A. de Araújo +2 more
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High-Resolution Mathematical and Numerical Analysis of Involution-Constrained PDEs
Partial differential equations constrained by involutions provide the highest fidelity mathematical models for a large number of complex physical systems of fundamental interest in critical scientific and technological disciplines. The applications described by these models include electromagnetics, continuum dynamics of solid media, and general ...
Bruno Després +3 more
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Messoud Efendiev +2 more
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Mathematical modeling has revealed the quantitative dynamics during the process of viral infection and evolved into an important tool in modern virology. Coupled with analyses of clinical and experimental data, the widely used basic model of viral dynamics described by ordinary differential equations (ODEs) has been well parameterized. In recent years,
Kosaku Kitagawa +5 more
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High-Resolution Mathematical and Numerical Analysis of Involution-Constrained PDEs
2013Partial differential equations constrained by involutions provide the highest fidelity mathematical models for a large number of complex physical systems of fundamental interest in critical scientific and technological disciplines. The applications described by these models include electromagnetics, continuum dynamics of solid media, and general ...
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This paper investigates the use of Laplace transforms to derive analytical solutions for one-dimensional heat-induced vibrations in damped elastic strings. The governing partial differential equation, incorporating both spatial and temporal dependencies with a damping term, is transformed into an ordinary differential equation in the Laplace domain ...
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