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High-Resolution Mathematical and Numerical Analysis of Involution-Constrained PDEs

Oberwolfach Reports, 2014
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
openaire   +1 more source

Mathematical Analysis of a PDE-ODE Coupled Model of Mitochondrial Swelling with Degenerate Calcium Ion Diffusion

SIAM Journal on Mathematical Analysis, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Efendiyev, M.A., Otani, M., Eberl, H.J.
openaire   +3 more sources

Mathematical Analysis of a Non-Local Mixed ODE-PDE Model for Tumor Invasion and Chemotherapy

Acta Applicandae Mathematicae, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anderson L. A. de Araujo   +2 more
openaire   +2 more sources

Mathematical Analysis of a Transformed ODE from a PDE Multiscale Model of Hepatitis C Virus Infection

Bulletin of Mathematical Biology, 2019
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,
Kitagawa, Kosaku   +5 more
openaire   +2 more sources

High-Resolution Mathematical and Numerical Analysis of Involution-Constrained PDEs

2013
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 ...
openaire   +2 more sources

Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce   +2 more
exaly  

Mathematical Analysis of Heat-Induced Vibrations in Damped Strings Using Laplace Transforms for Solving ODEs and PDEs

 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 ...
openaire   +1 more source

Obesity and adverse breast cancer risk and outcome: Mechanistic insights and strategies for intervention

Ca-A Cancer Journal for Clinicians, 2017
Cynthia Morata-Tarifa   +1 more
exaly  

Multidisciplinary standards of care and recent progress in pancreatic ductal adenocarcinoma

Ca-A Cancer Journal for Clinicians, 2020
Aaron J Grossberg   +2 more
exaly  

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