Results 171 to 180 of about 2,638 (189)

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

open access: closedActa Applicandae Mathematicae, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anderson L. A. de Araújo   +2 more
openalex   +3 more sources

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

open access: closedOberwolfach 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
openalex   +2 more sources

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

open access: closedSIAM Journal on Mathematical Analysis, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Messoud Efendiev   +2 more
openalex   +4 more sources

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

open access: closedBulletin 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,
Kosaku Kitagawa   +5 more
openalex   +3 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

Dynamical Systems, PDEs and Networks for Biomedical Applications: Mathematical Modeling, Analysis and Simulations

open access: closed, 2023
André H. Erhardt   +3 more
openalex   +1 more source

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

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