PMID: 15244531Jul 13, 2004Paper

Hybrid method for simulating front propagation in reaction-diffusion systems

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Esteban Moro

Abstract

We study the propagation of pulled fronts in the A<--> A+A microscopic reaction-diffusion process using Monte Carlo simulations. In the mean field approximation the process is described by the deterministic Fisher-Kolmogorov-Petrovsky-Piscounov equation. In particular, we concentrate on the corrections to the deterministic behavior due to the number of particles per correlated volume Omega. By means of a hybrid simulation scheme, we manage to reach large macroscopic values of Omega, which allows us to show the importance in the dynamics of microscopic pulled fronts of the interplay of microscopic fluctuations and their macroscopic relaxation.

References

Oct 4, 2000·Physical Review Letters·M Plapp, A Karma
Dec 12, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E G FlekkøyG Wagner
Dec 12, 2001·Physical Review Letters·E Moro
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Esteban Moro
Feb 3, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Debabrata Panja

❮ Previous
Next ❯

Citations

Apr 5, 2014·The Journal of Chemical Physics·Martin RobinsonRadek Erban
May 4, 2013·Bulletin of Mathematical Biology·Radek ErbanGaregin A Papoian
Nov 17, 2015·Journal of Computational Physics·Mark B FleggaRadek Erban
Aug 25, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Eric Brunet, Bernard Derrida
Jun 29, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E BrunetS Munier
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sergei Fedotov
Mar 2, 2018·Journal of the Royal Society, Interface·Cameron A Smith, Christian A Yates
Sep 16, 2016·Journal of the Royal Society, Interface·Jonathan U Harrison, Christian A Yates
Apr 24, 2015·Journal of the Royal Society, Interface·Christian A Yates, Mark B Flegg
Sep 17, 2016·Physical Review Letters·Federico BenitezMiguel A Muñoz
Nov 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E BrunetS Munier
Oct 22, 2020·Journal of the Royal Society, Interface·Christian A YatesKonstantinos C Zygalakis
Jan 8, 2021·PLoS Computational Biology·Daria StepanovaTomás Alarcón
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Niraj Kumar, Goutam Tripathy
Oct 15, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Anuj ChaudhriAleksandar Donev
Nov 7, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A H Mueller, S Munier
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Esteban Moro
Apr 15, 2021·Journal of the Royal Society, Interface·Cameron A Smith, Christian A Yates

❮ Previous
Next ❯

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
R Delgado-Buscalioni, P V Coveney
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
S T O'Connell, P A Thompson
Physical Review A: General Physics
A L GarciaE Clementi
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
E G FlekkøyG Wagner
© 2022 Meta ULC. All rights reserved