Results 41 to 50 of about 5,363 (146)

Modeling the spatiotemporal dynamic heterogeneity of pre-synthetic stage breast cancer tumor-immune interactions

Partial Differential Equations in Applied Mathematics
Breast cancer remains a leading cause of mortality among women worldwide. While metastatic-stage cancer has no cure, understanding the spatiotemporal dynamics of tumor-immune interactions at the pre-synthetic stage is essential for developing effective ...
Kennedy Mensah, Joseph Abeiku Ackora-Prah, Dominic Otoo, Atta Kwame Gyamfi   +3 more
doaj   +1 more source

A Caputo fractional-order SEIHRD model for Ebola: theoretical analysis, sensitivity, bifurcation, and numerical simulations

Scientific Reports
This study develops and analyzes a Caputo fractional-order SEIHRD model to investigate the transmission dynamics and control of Ebola virus disease. The model ensures positivity, boundedness, and invariance of feasible regions for all solutions. Rigorous
R. Malathy, G. Sai Sundara Krishnan, K. Loganathan   +2 more
doaj   +1 more source

A sustainable method for analyzing and studying the fractional-order panic spreading caused by the COVID-19 pandemic

Partial Differential Equations in Applied Mathematics
This study gives us an expression of non-integer order in mathematics via fractional Caputo operator just for the broadcast development of different emotions under emergencies due to any situation or some disease.
Muhammad Farman, Evern Hincal, Parvaiz Ahmad Naik, Ali Hasan, Aceng Sambas, Kottakkaran Sooppy Nisar   +5 more
doaj   +1 more source

Building a Digital Twin for Material Testing: Model Reduction and Data Assimilation

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT The rapid advancement of industrial technologies, data collection, and handling methods has paved the way for the widespread adoption of digital twins (DTs) in engineering, enabling seamless integration between physical systems and their virtual counterparts.
Rubén Aylwin, Nina Beranek, Gajendra Babu Budihala, Matthias Mettenleiter, Goksu Oruc, Karsten Urban   +5 more
wiley   +1 more source

Aspects of Parameter Identification for a Micromorphic Continuum applied to a Cold‐Box Sand

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT This work is concerned with the modeling of a cold‐box sand, a composition of sand grains and a resin binder. To this end, experiments are performed, which show the following characteristics: localization phenomena in the form of a shear band, softening behavior in the force‐displacement curve, and asymmetric behavior for compression and ...
Alexander Börger, Rolf Mahnken, Ismail Caylak, Richard Ostwald   +3 more
wiley   +1 more source

Mathematical Model Dynamics of Drug-Resistant Tuberculosis and Its Optimal Control Analysis

Journal of Applied Mathematics
This study presents a mathematical model to understand and control the spread of drug-resistant tuberculosis (DR-TB). A system of nonlinear ordinary differential equations is developed to represent the transmission dynamics, incorporating prevention and ...
Mohammed Hasen Galete, Mohammed Yiha Dawed, Legesse Lemecha Obsu   +2 more
doaj   +1 more source

Mathematical model of immune response to Hepatitis C virus (HCV) disease

Partial Differential Equations in Applied Mathematics
This paper presents a mathematical model that comprehensively analyzes the dynamics of Hepatitis C Virus (HCV) infection. The model based on a system of nonlinear differential equations captures the interactions between liver cells (hepatocytes), the ...
Amna H.A. Ibrahim, Hermane Mambili Mamboundou   +1 more
doaj   +1 more source

Fourier Neural Pseudo‐Log Generator for Well Log Reconstruction and Beyond‐Record Generation

Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 3, June 2026.
Abstract Geophysical well logging is crucial for subsurface exploration, but its application is often hindered by incomplete data and high operational costs. To address these challenges, we propose the Fourier neural pseudo‐log generator (FNPG), a novel generative model capable of both missing well log reconstruction and generation of new, beyond ...
Zicheng Gai, Yanfei Wang
wiley   +1 more source

A fractional–order model with prevention and isolation optimal control measures to reduce the transmission of Tuberculosis

Journal of Taibah University for Science
In this research paper, we develop a fractional mathematical model consisting of a system of four fractional differential equations (FDEs) utilizing the Caputo operator.
A. El-Mesady, A. M. S. Mahdy, Fatma Özköse   +2 more
doaj   +1 more source

Impact of Uncertain Parameters on Navier–Stokes Equations With Heat Transfer via Polynomial Chaos Expansion

International Journal for Numerical Methods in Fluids, Volume 98, Issue 5, Page 557-577, May 2026.
This study investigates the impact of uncertain parameters on Navier–Stokes equations coupled with heat transfer using the Intrusive Polynomial Chaos Method (IPCM). Sensitivity equations are formulated for key input parameters, such as viscosity and thermal diffusivity, and solved numerically using the Finite Element‐Volume method.
N. Nouaime, B. Després, M. A. Puscas, C. Fiorini   +3 more
wiley   +1 more source