Results 61 to 70 of about 2,529,562 (187)

Dynamic sensitivity analysis of biological systems

BMC Bioinformatics, 2008
BackgroundA mathematical model to understand, predict, control, or even design a real biological system is a central theme in systems biology. A dynamic biological system is always modeled as a nonlinear ordinary differential equation (ODE) system.
Wu-Hsiung Wu, F. Wang, Maw-Shang Chang
semanticscholar   +1 more source

Reductions of Gauss-Codazzi equations

, 2016
We prove that conformally parametrized surfaces in Euclidean space $\Rcubec$ of curvature $c$ admit a symmetry reduction of their Gauss-Codazzi equations whose general solution is expressed with the sixth Painlev\'e function.
Conte, Robert, Grundland, A. Michel
core   +1 more source

Global attractor and stabilization for a coupled PDE-ODE system [PDF]

arXiv, 2011
We study the asymptotic behavior of solutions of one coupled PDE-ODE system arising in mathematical biology as a model for the development of a forest ecosystem. In the case where the ODE-component of the system is monotone, we establish the existence of a smooth global attractor of finite Hausdorff and fractal dimension.
arxiv  

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Numerical Solutions of ODEs using Volterra Series [PDF]

, 2006
We propose a numerical approach for solving systems of nonautonomous ordinary di®erential equations under suitable assumptions. This approach is based on expansion of the solutions by Volterra series and allows to estimate the accuracy of the ...
Kirov, Nikolay, Krastanov, Michail
core  

A Stable Hybridized Discontinuous Galerkin Method for Solving Some Nonlinear m$$ m $$‐Component Reaction–Diffusion Systems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we present a stable numerical scheme for solving two‐dimensional m$$ m $$‐component reaction–diffusion systems. The proposed approach utilizes the backward Euler method for temporal discretization and the hybridized discontinuous Galerkin (HDG) method for spatial discretization.
Shima Baharlouei, Reza Mokhtari, Nabi Chegini   +2 more
wiley   +1 more source

Computational Cellular Mathematical Model Aids Understanding the cGAS-STING in NSCLC Pathogenicity

Bio-protocol
Non-small cell lung cancer (NSCLC) is the most common type of lung cancer. According to 2020 reports, globally, 2.2 million cases are reported every year, with the mortality number being as high as 1.8 million patients.
Shweta Khandibharad, Pooja Gulhane, Shailza Singh   +2 more
semanticscholar   +1 more source

Analysis of the Generalized Ostrovsky Equation in the Propagation of Surface and Internal Waves in Rotating Fluids

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The Ostrovsky equation models long, weakly nonlinear waves, explaining the propagation of surface and internal waves in a rotating fluid. The study focuses on the generalized Ostrovsky equation. Introduced by Levandosky and Liu, this equation demonstrates the existence of solitary waves through variational methods.
Sol Sáez
wiley   +1 more source

Quenching, global existence and blowup phenomena in heat transfer [PDF]

arXiv, 2020
Basing on the relations between a system of ODE and a system of parabolic equations, we establish some general theories in heat transfer about quenching, global existence and blowup phenomena, obtain the conditions(even watershed) on f(u,v), g(u,v), a(x) and b(x) which let the solution be global existence, quench or blow up, and estimate the bounds for
arxiv  

Individuals Strategies and Predator–Prey Game Models in Deterministic and Random Settings

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The authors propose a new predator–prey game model by integrating two optional strategies into prey species: cooperative and isolation strategies. An investigation of the evolutionary impact on predator–prey system dynamics is given. The model utilizes a replicator equation to track changes in the frequency of cooperative strategy among preys,
Hairui Yuan, Xinzhu Meng, Federico Frascoli, Tonghua Zhang   +3 more
wiley   +1 more source