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Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
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Published on: April 12, 2019

A discrete model to study reaction-diffusion-mechanics systems.

Louis D Weise1, Martyn P Nash, Alexander V Panfilov

  • 1Department of Theoretical Biology, Utrecht University, Utrecht, The Netherlands. L.D.Weise@uu.nl

Plos One
|August 2, 2011
PubMed
Summary
This summary is machine-generated.

This study presents a discrete reaction-diffusion-mechanics (dRDM) model to explore how material deformation impacts reaction-diffusion (RD) processes. The model reveals how deformation and curvature influence pacemaker activity in RD systems.

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Area of Science:

  • Computational Biology
  • Biophysics
  • Materials Science

Background:

  • Reaction-diffusion (RD) processes are fundamental to many biological phenomena.
  • Understanding the interplay between mechanical deformation and RD is crucial for complex biological systems.
  • Existing models often lack the discrete framework to capture localized deformation effects.

Purpose of the Study:

  • To introduce a novel discrete reaction-diffusion-mechanics (dRDM) model.
  • To investigate the influence of finite deformations on RD processes.
  • To elucidate the mechanisms governing pacemaker activity in deformable media.

Main Methods:

  • Developed a dRDM framework coupling a FitzHugh-Nagumo RD model with a mass-lattice model for finite deformations.
  • Employed a generalized Hooke's law (Seth material) for elastic properties.
  • Utilized finite difference and Verlet integration schemes for numerical simulations.

Main Results:

  • Successfully reproduced self-organized pacemaking activity previously observed with continuous models.
  • Identified key mechanisms determining pacemaker period and medium size dependency.
  • Established a relationship between pacemaker drift direction and spatial deformation/curvature distribution.

Conclusions:

  • The dRDM model provides a robust framework for studying deformation effects on RD systems.
  • Pacemaker behavior is significantly influenced by mechanical cues, including deformation and curvature.
  • This discrete approach offers new insights into pattern formation in mechanochemically active materials.