Results 51 to 60 of about 4,250,733 (158)

Traction Force Microscopy for Viscoelastic Substrates: A Semi‐Analytical Method

Advanced Science, Volume 13, Issue 42, 28 July 2026.
A semi‐analytical viscoelastic traction force microscopy framework is introduced for quantifying time‐resolved cell tractions on flat finite‐thickness substrates. The method generalizes elastic traction force microscopy to Generalized Maxwell materials, identifies when elastic approximations remain valid and, when they do not, shows that inferred ...
Adrià Villacrosa‐Ribas, Daniëlle C. A. Duffhues, Pim van den Bersselaar, Sarah Pragnere, Bart G. W. Groenen, Mariana Azevedo Gonzalez Oliva, Giuseppe Ciccone, Manuel Salmeron‐Sanchez, Carlijn V. C. Bouten, Jose J. Muñoz, Vito Conte   +10 more
wiley   +1 more source

A Neural Operator Emulator for Coastal and Riverine Shallow Water Dynamics

Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 3, June 2026.
Abstract Coastal regions and river floodplains are particularly vulnerable to the impacts of extreme weather events. Accurate real‐time forecasting of hydrodynamic processes in these areas is essential for infrastructure planning and climate adaptation.
Peter Rivera‐Casillas, Sourav Dutta, Shukai Cai, Mark Loveland, Kamaljyoti Nath, Khemraj Shukla, Corey Trahan, Jonghyun Lee, Matthew Farthing, Clint Dawson   +9 more
wiley   +1 more source

Periodic solution for a delay integro-differential equation in biomathematics [PDF]

, 2003
Sufficient conditions for the existence and uniqueness of periodic solution of a delay integro-differential equation which arise in biomathematics are given.
Bica, Alexandru Mihai, Muresan, Sorin
core   +5 more sources

The Role of Inducible Defence in Ecological Models: Effects of Nonlocal Intraspecific Competition

Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.
ABSTRACT Phenotypic plasticity significantly influences species interactions, especially via inducible defensive mechanisms in predator–prey dynamics. This work proposes and explores a predator–prey scenario whereby the prey species demonstrates inducible defence mechanisms against predators.
Sangeeta Saha, Swadesh Pal, Roderick Melnik   +2 more
wiley   +1 more source

Banach Contraction Method to Solve Partial Integral-differential Equations

مجلة ابحاث كلية التربية الاساسية
In this paper,  Banach contraction method was used to solve linear and nonlinear partial integra differential equations of  Volterra type and compared them with exact solutions to demonstrate  accuracy of the proposed method.
Hiba Shuker Mahmood, Ahmed F. Qasim
doaj   +1 more source

Application of conserved quantities using the formal Lagrangian of a nonlinear integro partial differential equation through optimal system of one-dimensional subalgebras in physics and engineering

Open Physics
Abstract This research article analytically investigates a soliton equation of high dimensions, particularly with applications, and precisely in the fields of physical sciences and engineering. The soliton equation of high dimensions, particularly with applications, and precisely in the fields of physical sciences along with engineering,
Adeyemo, Oke Davies, Khalique, Chaudry Masood   +1 more
openaire   +3 more sources

Free Surface Waves in Electrohydrodynamics With a Prescribed Vorticity Distribution

Mathematical Methods in the Applied Sciences, Volume 49, Issue 7, Page 7068-7081, 15 May 2026.
ABSTRACT Traditionally, the study of free surface flows assumed irrotationality to simplify matters, and the results seemed to have great success, notably with the Korteweg‐de Vries(KdV) equation. In the past decade, there have been attempts to remove this seemingly strong condition and replace it with a global constant vorticity equivalent to a linear
M. J. Hunt, Denys Dutykh
wiley   +1 more source

Synthesis of uniformly distributed optimal control with nonlinear optimization of oscillatory processes

Қарағанды университетінің хабаршысы. Математика сериясы
In the article the problem of synthesizing uniformly distributed optimal control for nonlinear optimization of oscillatory processes described by integro-differential partial differential equations with the Volterra integral operator was explored.
A. Kerimbekov, Zh.K. Asanova, A.K. Baetov   +2 more
doaj   +1 more source

Red Blood Cell Membrane Mechanics Using Discrete Exterior Calculus (DEC) and Optimization

International Journal for Numerical Methods in Biomedical Engineering, Volume 42, Issue 4, April 2026.
We present a novel DEC approach for calculating RBC shapes applicable to other cell types and membrane problems. We derive an energy minimization equation that can be solved semi‐implicitly, and a Lie derivative method to control node spacing. This novel work should aid computational modeling in many biological situations.
Keith C. Afas, Daniel Goldman
wiley   +1 more source

Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three

Open Mathematics
In this article, we study the Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three, of hyperbolic type, using Bielecki norm.
Marian Daniela, Ciplea Sorina Anamaria, Lungu Nicolaie   +2 more
doaj   +1 more source