Literature DB >> 20416847

Reaction-diffusion waves in biology.

V Volpert1, S Petrovskii.   

Abstract

The theory of reaction-diffusion waves begins in the 1930s with the works in population dynamics, combustion theory and chemical kinetics. At the present time, it is a well developed area of research which includes qualitative properties of travelling waves for the scalar reaction-diffusion equation and for system of equations, complex nonlinear dynamics, numerous applications in physics, chemistry, biology, medicine. This paper reviews biological applications of reaction-diffusion waves.

Year:  2009        PMID: 20416847     DOI: 10.1016/j.plrev.2009.10.002

Source DB:  PubMed          Journal:  Phys Life Rev        ISSN: 1571-0645            Impact factor:   11.025


  22 in total

1.  Reversing invasion in bistable systems.

Authors:  Ebraheem O Alzahrani; Fordyce A Davidson; Niall Dodds
Journal:  J Math Biol       Date:  2011-11-16       Impact factor: 2.259

2.  River networks as ecological corridors: A coherent ecohydrological perspective.

Authors:  Andrea Rinaldo; Marino Gatto; Ignacio Rodriguez-Iturbe
Journal:  Adv Water Resour       Date:  2018-02       Impact factor: 4.510

3.  A living mesoscopic cellular automaton made of skin scales.

Authors:  Liana Manukyan; Sophie A Montandon; Anamarija Fofonjka; Stanislav Smirnov; Michel C Milinkovitch
Journal:  Nature       Date:  2017-04-12       Impact factor: 49.962

4.  Revealing new dynamical patterns in a reaction-diffusion model with cyclic competition via a novel computational framework.

Authors:  A Cangiani; E H Georgoulis; A Yu Morozov; O J Sutton
Journal:  Proc Math Phys Eng Sci       Date:  2018-05-23       Impact factor: 2.704

Review 5.  Population genomics of rapid adaptation by soft selective sweeps.

Authors:  Philipp W Messer; Dmitri A Petrov
Journal:  Trends Ecol Evol       Date:  2013-09-25       Impact factor: 17.712

6.  Bifurcation and dynamics in a mathematical model of early atherosclerosis: How acute inflammation drives lesion development.

Authors:  Alexander D Chalmers; Anna Cohen; Christina A Bursill; Mary R Myerscough
Journal:  J Math Biol       Date:  2015-03-03       Impact factor: 2.259

7.  Propagation of CaMKII translocation waves in heterogeneous spiny dendrites.

Authors:  Paul C Bressloff
Journal:  J Math Biol       Date:  2012-05-16       Impact factor: 2.259

8.  Emerging predictable features of replicated biological invasion fronts.

Authors:  Andrea Giometto; Andrea Rinaldo; Francesco Carrara; Florian Altermatt
Journal:  Proc Natl Acad Sci U S A       Date:  2013-12-23       Impact factor: 11.205

9.  Incorporating domain growth into hybrid methods for reaction-diffusion systems.

Authors:  Cameron A Smith; Christian A Yates
Journal:  J R Soc Interface       Date:  2021-04-14       Impact factor: 4.118

10.  Dynamic optimization of distributed biological systems using robust and efficient numerical techniques.

Authors:  Carlos Vilas; Eva Balsa-Canto; Maria-Sonia G García; Julio R Banga; Antonio A Alonso
Journal:  BMC Syst Biol       Date:  2012-07-02
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