All Research Papers Published In Applied Mathematical Modelling

Research Article
10.1016/j.apm.2025.116666

Three-dimensional electromagnetic inverse scattering imaging via FBE-CIE model with L2/3 regularization and alternating direction method of multipliers

Jun 01, 2026
Applied Mathematical Modelling
Haixia Li + 3 more +3

Research Article
10.1016/j.apm.2026.117024

Jacobi Iteration for Solving Linear Equations Based on DNA Strand Displacement

May 01, 2026
Applied Mathematical Modelling
Yanfeng Wang + 3 more +3

Research Article
10.1016/j.apm.2025.116652

Level-set-based topology optimization method for conjugate heat transfer structure design based on mixing length turbulence model

May 01, 2026
Applied Mathematical Modelling
Zexu Wang + 8 more +8

Research Article
10.1016/j.apm.2026.116964

Evolution of cooperation in heterogeneous populations with graph attention network

Apr 01, 2026
Applied Mathematical Modelling
Qianxi Yang + 1 more +1

Research Article
10.1016/j.apm.2025.116525

Viscoelastic dynamics of cell-matrix adhesions: Insights from a one-dimensional perspective

Apr 01, 2026
Applied Mathematical Modelling
Jacopo Ciambella + 2 more +2

• A mathematical model for viscoelastic cell-matrix adhesion mechanics. • Elastic adhesion plaque, Kelvin-Voigt interface, standard linear solid substrate. • Equations solved analytically in the Laplace domain with internal length analysis. • Analytical formula for frequency-dependent internal length, possibly non-monotonic. • Simulations highlight the relevance of viscoelasticity in adhesion dynamics. We develop a mathematical treatment of viscoelastic cell-matrix interactions via a one-dimensional continuum-mechanical model within a thermodynamically consistent framework. The model explicitly incorporates the time-dependent behaviour of both the adhesion interface and substrate, with the former modelled as a Kelvin-Voigt material and the latter as a standard linear solid (i.e., a parallel arrangement of an elastic spring and a Maxwell element). We derive a system of coupled partial differential equations and show that they can be solved analytically in the Laplace domain, yielding a concise expression for the time-dependent internal length scale that mediates force transmission. We also perform numerical simulations to highlight the model’s main features in prototypical cases. Our theoretical and numerical predictions demonstrate that the coupling between interface and substrate viscoelasticity modulates the system’s time-dependent response to a mechanical stimulus applied to the substrate and critically determines how much deformation is transmitted to the adhesion plaque. These findings align with experimental observations of frequency-dependent cellular responses and provide mechanistic insights into phenomena that purely elastic models cannot capture.

Research Article
10.1016/j.apm.2025.116577

An interval analysis method based on pdf for unconditional/conditional uncertain structural responses

Apr 01, 2026
Applied Mathematical Modelling
Feng Wu + 2 more +2

Research Article
10.1016/j.apm.2026.116904

Dynamic response of a loosely bonded viscoelastic/porous piezoelectric bilayer microplate to a frictional moving load over a parabolic discontinuity

Mar 13, 2026
Applied Mathematical Modelling
Ar Meghana + 6 more +6

Research Article
10.1016/j.apm.2026.116910

Multi-stage contact model between two rough surfaces based on the improved equivalent contact method

Mar 12, 2026
Applied Mathematical Modelling
Linqiang Zhou + 1 more +1

Research Article
10.1016/j.apm.2025.116502

Effects of local grazing and cross-diffusion on vegetation-water systems and modeling for desertification prevention

Mar 01, 2026
Applied Mathematical Modelling
Yarong Zhang + 4 more +4

Research Article
2
10.1016/j.apm.2025.116452

A vibration-reduction pipe clamp with piecewise stiffness

Mar 01, 2026
Applied Mathematical Modelling
Bo Dou + 4 more +4