Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Boundary-induced spatiotemporal complex patterns in excitable systems.

Olga Nekhamkina1, Moshe Sheintuch

  • 1Department of Chemical Engineering, Technion, Israel Institute of Technology, Haifa 32000, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 16, 2006
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

The Design Space of the Embryonic Cell Cycle Oscillator.

Biophysical journal·2017
Same author

Hydrodynamic instability of thermal fronts in reactive porous media: spinning patterns.

Physical review. E, Statistical, nonlinear, and soft matter physics·2014
Same author

Spinning propagation of diffusionally unstable planar fronts.

Physical review. E, Statistical, nonlinear, and soft matter physics·2010
Same author

Why Turing mechanism is an obstacle to stationary periodic patterns in bounded reaction-diffusion media with advection.

Physical chemistry chemical physics : PCCP·2010
Same author

Principal bifurcations and symmetries in the emergence of reaction-diffusion-advection patterns on finite domains.

Physical review. E, Statistical, nonlinear, and soft matter physics·2010
Same author

Drifting solitary waves in a reaction-diffusion medium with differential advection.

Physical review. E, Statistical, nonlinear, and soft matter physics·2010
Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
See all related articles

Inhomogeneous boundary conditions in reaction-diffusion systems naturally create wave trains and mixed-mode oscillations. These findings explain recent experimental observations of period-adding bifurcations in catalytic oxidation.

Area of Science:

  • Chemical kinetics
  • Nonlinear dynamics
  • Mathematical modeling

Background:

  • Reaction-diffusion systems exhibit complex dynamics.
  • Excitable media can support wave propagation.
  • Boundary conditions significantly influence system behavior.

Purpose of the Study:

  • To investigate the role of inhomogeneous boundary conditions in generating complex dynamics in reaction-diffusion systems.
  • To demonstrate that these conditions can induce wave trains and mixed-mode oscillations.
  • To explain experimental observations of period-adding bifurcations.

Main Methods:

  • Analysis of a coupled excitable-oscillatory cell model.
  • Simulation of a distributed FitzHugh-Nagumo model.
  • Modeling of a five-variable catalytic oxidation system.

Related Experiment Videos

Main Results:

  • Inhomogeneous boundary conditions act as permanent perturbations.
  • These perturbations lead to the formation of wave trains.
  • Mixed-mode oscillations and period-adding bifurcations were observed across models.

Conclusions:

  • Inhomogeneous boundary conditions are a fundamental source of complex dynamics in excitable systems.
  • The study provides a theoretical framework for understanding experimental findings in catalytic oxidation.
  • The results highlight the importance of boundary effects in nonlinear chemical dynamics.