Results 1 to 10 of about 227,477 (267)

A neural ordinary differential equation model for visualizing deep neural network behaviors in multi-parametric MRI-based glioma segmentation. [PDF]

Med Phys, 2023
Yang Z, Hu Z, Ji H, Lafata K, Vaios E, Floyd S, Yin FF, Wang C.   +7 more
europepmc   +1 more source

Algebraic identifiability of partial differential equation models

Nonlinearity
Abstract Differential equation models are crucial to scientific processes across many disciplines, and the values of model parameters are important for analyzing the behaviour of solutions. Identifying these values is known as a parameter estimation, a type of inverse problem, which has applications in areas that include industry ...
Helen M Byrne, Heather A Harrington, Alexey Ovchinnikov, Gleb Pogudin, Hamid Rahkooy, Pedro Soto   +5 more
openaire   +5 more sources

Numerical investigation of fractional Fisher partial differential equation via natural transform decomposition method

Partial Differential Equations in Applied Mathematics
In modern Science, a Fisher non-linear differential equation plays a significant role due to its diverse applications in fisher hypothesis, mathematical biology, engineering, physics and ecology. In this regard, the authors utilized the Natural transform
Samia Bushnaq, Amjad Ali, Abdullah
doaj   +1 more source

New Exact Solutions for New Model Nonlinear Partial Differential Equation

Journal of Applied Mathematics, 2013
In this paper we propose a new form of Padé-II equation, namely, a combined Padé-II and modified Padé-II equation. The mapping method is a promising method to solve nonlinear evaluation equations. Therefore, we apply it, to solve the combined Padé-II and
A. Maher, H. M. El-Hawary, M. S. Al-Amry
doaj   +1 more source

Stochastic differential equation model of Covid-19: Case study of Pakistan. [PDF]

Results Phys, 2022
El Koufi A, El Koufi N.
europepmc   +1 more source

Differential Equations Models to Study Quorum Sensing

, 2017
Mathematical models to study quorum sensing (QS) have become an important tool to explore all aspects of this type of bacterial communication. A wide spectrum of mathematical tools and methods such as dynamical systems, stochastics, and spatial models can be employed.
Pérez-Velázquez, J., Hense, B.A.
openaire   +4 more sources

A nonlinear sparse neural ordinary differential equation model for multiple functional processes. [PDF]

Can J Stat, 2022
Liu Y, Li L, Wang X.
europepmc   +1 more source

Reverse engineering gene regulatory network based on complex-valued ordinary differential equation model. [PDF]

BMC Bioinformatics, 2021
Yang B, Bao W, Zhang W, Wang H, Song C, Chen Y, Jiang X.   +6 more
europepmc   +1 more source

Adsorption–Desorption at Anomalous Diffusion: Fractional Calculus Approach

Fractal and Fractional
A mathematical model of the anomalous diffusion of surfactant and the process of adsorption–desorption on an interface is analyzed using a fractional calculus approach.
Ivan Bazhlekov, Emilia Bazhlekova
doaj   +1 more source

A fractional-order differential equation model of COVID-19 infection of epithelial cells. [PDF]

Chaos Solitons Fractals, 2021
Chatterjee AN, Ahmad B.
europepmc   +1 more source