Share This Author
An Introduction to Nonlinear Chemical Dynamics: Oscillations, Waves, Patterns, and Chaos
Part I: Overview 1. Introduction - A Bit of History 2. Fundamentals 3. Apparatus 4. Chemical Oscillations: Synthesis 5. Chemical Oscillations: Analysis 6. Waves and Patterns 7. Computational Tools…
An Introduction to Nonlinear Chemical Dynamics
Cooperative and non-cooperative binding of large ligands to a finite one-dimensional lattice. A model for ligand-oligonucleotide interactions.
- I. Epstein
- PhysicsBiophysical chemistry
- 1 September 1978
Role of the Neurogranin Concentrated in Spines in the Induction of Long-Term Potentiation
- A. Zhabotinsky, R. Camp, I. Epstein, J. Lisman
- Biology, ChemistryThe Journal of Neuroscience
- 12 July 2006
A computational model shows how the Ca2+ transients that occur during LTD or LTP induction affect calmodulin and how the resulting activation of calcineurin and CaMKII affects AMPA receptor-mediated transmission.
A chemical approach to designing Turing patterns in reaction-diffusion systems.
A systematic approach is suggested to design chemical systems capable of displaying stationary, symmetry-breaking reaction diffusion patterns (Turing structures). The technique utilizes the fact that…
Mathematical model of an identified stomatogastric ganglion neuron.
The model and biological neurons show similar action-potential shapes, durations, steady-state current-voltage (I-V) curves, and respond to injected current in a comparable way.
Modeling of Turing Structures in the Chlorite—Iodide—Malonic Acid—Starch Reaction System
Recent experiments on the chlorite-iodide-malonic acid-starch reaction in a gel reactor give the first evidence of the existence of the symmetry breaking, reaction-diffusion structures predicted by…
Pattern formation arising from interactions between Turing and wave instabilities
We study pattern formation arising from the interaction of the stationary Turing and wave (oscillatory Turing) instabilities. Interaction and competition between these symmetry-breaking modes lead to…
Stable squares and other oscillatory turing patterns in a reaction-diffusion model.
The Brusselator reaction-diffusion model under conditions where the Hopf mode is supercritical and the Turing band is subcritical is studied, finding symmetric patterns show period doubling in both space and time.
Cross-diffusion and pattern formation in reaction-diffusion systems.
Experiments are summarized that demonstrate that cross-diffusion coefficients can be quite significant, even exceeding "normal," diagonal diffusion coefficients in magnitude in systems that involve ions, micelles, complex formation, excluded volume effects and other phenomena commonly encountered in situations of interest to chemists.