Irving R Epstein

Summary

Affiliation: Brandeis University
Country: USA

Publications

  1. doi request reprint Chemical oscillators in structured media
    Irving R Epstein
    Department of Chemistry, Brandeis University, MS 015, Waltham, Massachusetts 02454 9110, USA
    Acc Chem Res 45:2160-8. 2012
  2. pmc Predicting complex biology with simple chemistry
    Irving R Epstein
    Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, Waltham, MA 02454 9110, USA
    Proc Natl Acad Sci U S A 103:15727-8. 2006
  3. ncbi request reprint Patterns in the Belousov-Zhabotinsky reaction in water-in-oil microemulsion induced by a temperature gradient
    Jorge Carballido Landeira
    Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, Waltham, 02454 9110, USA
    Phys Chem Chem Phys 12:3656-65. 2010
  4. ncbi request reprint Complex patterns in reactive microemulsions: self-organized nanostructures?
    Irving R Epstein
    Department of Chemistry and Volen Center for Complex Systems, Brandeis University MS 015, Waltham, Massachusetts 02454 9110, USA
    Chaos 15:047510. 2005
  5. ncbi request reprint Diversity in chemistry: catalyzing change
    Irving R Epstein
    Department of Chemistry and Volen National Center for Complex Systems, Brandeis University, MS 015, Waltham, Massachusetts 02454 9110, USA
    Nat Chem Biol 3:299-302. 2007
  6. ncbi request reprint Chemistry. Can droplets and bubbles think?
    Irving R Epstein
    Department of Chemistry and the Volen Center for Complex Systems, Brandeis University, Waltham, MA 02454 9110, USA
    Science 315:775-6. 2007
  7. ncbi request reprint Instabilities of a three-dimensional localized spot
    Marcin Leda
    Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, Waltham, Massachusetts 02454 9110, USA
    Phys Rev E Stat Nonlin Soft Matter Phys 80:066204. 2009
  8. ncbi request reprint Jumping solitary waves in an autonomous reaction-diffusion system with subcritical wave instability
    Lingfa Yang
    Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, Waltham, Massachusetts 02454 9110, USA
    Phys Chem Chem Phys 8:4647-51. 2006
  9. ncbi request reprint Turing patterns beyond hexagons and stripes
    Lingfa Yang
    Department of Chemistry and Center for Complex Systems, Brandeis University, Waltham, Massachusetts 02454 9110, USA
    Chaos 16:037114. 2006
  10. doi request reprint Pattern formation mechanisms in reaction-diffusion systems
    Vladimir K Vanag
    Department of Chemistry and Volen Center for Complex Systems, Brandeis University, Waltham, MA 02454, USA
    Int J Dev Biol 53:673-81. 2009

Collaborators

Detail Information

Publications40

  1. doi request reprint Chemical oscillators in structured media
    Irving R Epstein
    Department of Chemistry, Brandeis University, MS 015, Waltham, Massachusetts 02454 9110, USA
    Acc Chem Res 45:2160-8. 2012
    ..The evolution of systems of coupled chemical oscillators presents another challenge to the development of these systems, but one that we expect to be solved...
  2. pmc Predicting complex biology with simple chemistry
    Irving R Epstein
    Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, Waltham, MA 02454 9110, USA
    Proc Natl Acad Sci U S A 103:15727-8. 2006
  3. ncbi request reprint Patterns in the Belousov-Zhabotinsky reaction in water-in-oil microemulsion induced by a temperature gradient
    Jorge Carballido Landeira
    Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, Waltham, 02454 9110, USA
    Phys Chem Chem Phys 12:3656-65. 2010
    ..These new patterns originate from the coupling between a low temperature Turing mode and a high temperature Hopf mode. Simulations with a simple model of the BZ-AOT system give good agreement with our experimental results...
  4. ncbi request reprint Complex patterns in reactive microemulsions: self-organized nanostructures?
    Irving R Epstein
    Department of Chemistry and Volen Center for Complex Systems, Brandeis University MS 015, Waltham, Massachusetts 02454 9110, USA
    Chaos 15:047510. 2005
    ..We present experimental and computational results on this fascinating system and comment on possible future directions for research...
  5. ncbi request reprint Diversity in chemistry: catalyzing change
    Irving R Epstein
    Department of Chemistry and Volen National Center for Complex Systems, Brandeis University, MS 015, Waltham, Massachusetts 02454 9110, USA
    Nat Chem Biol 3:299-302. 2007
  6. ncbi request reprint Chemistry. Can droplets and bubbles think?
    Irving R Epstein
    Department of Chemistry and the Volen Center for Complex Systems, Brandeis University, Waltham, MA 02454 9110, USA
    Science 315:775-6. 2007
  7. ncbi request reprint Instabilities of a three-dimensional localized spot
    Marcin Leda
    Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, Waltham, Massachusetts 02454 9110, USA
    Phys Rev E Stat Nonlin Soft Matter Phys 80:066204. 2009
    ..We find three types of instabilities: splitting of a single spot (i) into two spots, (ii) into a torus, and (iii) into an unstable shell that splits almost immediately to six or eight new spots...
  8. ncbi request reprint Jumping solitary waves in an autonomous reaction-diffusion system with subcritical wave instability
    Lingfa Yang
    Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, Waltham, Massachusetts 02454 9110, USA
    Phys Chem Chem Phys 8:4647-51. 2006
    ..We study the characteristics of and interactions between these solitary waves and the dynamics of related wave trains and standing waves...
  9. ncbi request reprint Turing patterns beyond hexagons and stripes
    Lingfa Yang
    Department of Chemistry and Center for Complex Systems, Brandeis University, Waltham, Massachusetts 02454 9110, USA
    Chaos 16:037114. 2006
    ..We also demonstrate that in a system where the Turing band is slightly below criticality, spatially uniform internal or external oscillations can create oscillating square patterns...
  10. doi request reprint Pattern formation mechanisms in reaction-diffusion systems
    Vladimir K Vanag
    Department of Chemistry and Volen Center for Complex Systems, Brandeis University, Waltham, MA 02454, USA
    Int J Dev Biol 53:673-81. 2009
    ..In some systems, the pattern that emerges depends not only on the chemical and physical parameters but also on the initial state of the system. Interactions between instabilities can result in particularly complex patterns...
  11. doi request reprint Pentanary cross-diffusion in water-in-oil microemulsions loaded with two components of the Belousov-Zhabotinsky reaction
    Federico Rossi
    Department of Chemistry and Volen Center for Complex System, MS 015, Brandeis University, Waltham MA 02454 9110, USA
    Chemistry 17:2138-45. 2011
    ..Using a four-variable model for the BZ reaction, we find that the cross-diffusion coefficients measured here can lead to a noticeable shift in the onset of Turing instability in the BZ-AOT system...
  12. ncbi request reprint Localized patterns in reaction-diffusion systems
    Vladimir K Vanag
    Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, Waltham, Massachusetts 02454, USA
    Chaos 17:037110. 2007
    ..We also suggest some promising directions for future research in this area...
  13. ncbi request reprint Two- and three-dimensional standing waves in a reaction-diffusion system
    Tamás Bánsági
    Department of Chemistry, Brandeis University, Mail Stop 015, Waltham, Massachusetts 02454 9110, USA
    Phys Rev E Stat Nonlin Soft Matter Phys 86:045202. 2012
    ..Computer simulations, as well as observations in E. coli, give qualitative agreement with the observed patterns and suggest that, in contrast to Turing patterns, the structures are sensitive to the size and shape of the system...
  14. pmc Fronts and pulses in an enzymatic reaction catalyzed by glucose oxidase
    David G Miguez
    Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, Waltham, MA 02454, USA
    Proc Natl Acad Sci U S A 104:6992-7. 2007
    ..Fronts and pulses propagate as a result of the coupling between the enzyme-catalyzed autocatalytic production and diffusion of hydrogen ions. A mathematical model qualitatively explains the experimental observations...
  15. doi request reprint Design and control of patterns in reaction-diffusion systems
    Vladimir K Vanag
    Department of Chemistry and Volen Center for Complex Systems, Brandeis University, Waltham, Massachusetts 02454 9110, USA
    Chaos 18:026107. 2008
    ..e., the BZ reaction in a water-in-oil reverse microemulsion stabilized by the surfactant sodium bis(2-ethylhexyl) sulfosuccinate (AOT)...
  16. doi request reprint Small-amplitude and mixed-mode pH oscillations in the bromate-sulfite-ferrocyanide-aluminum(III) system
    Klara Kovacs
    Department of Chemistry, Brandeis University, MS 015, Waltham, Massachusetts 02454, USA
    J Phys Chem A 113:146-56. 2009
    ..In addition to the large-amplitude pH oscillations found in the BSF system, new small-amplitude and mixed-mode oscillations occur. A detailed mechanism of the BSFA system is developed and investigated...
  17. doi request reprint Cross-diffusion in a water-in-oil microemulsion loaded with malonic acid or ferroin. Taylor dispersion method for four-component systems
    Vladimir K Vanag
    Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, Waltham, Massachusetts 02454, USA
    J Phys Chem B 112:9058-70. 2008
    ..The results should provide a basis for modeling pattern formation in the BZ-AOT system...
  18. ncbi request reprint Designing an enzymatic oscillator: bistability and feedback controlled oscillations with glucose oxidase in a continuous flow stirred tank reactor
    Vladimir K Vanag
    Department of Chemistry, MS 015, Brandeis University, Waltham, Massachusetts 02454, USA
    J Chem Phys 125:194515. 2006
    ..pH oscillations are found over a broad range of enzyme and ferricyanide concentrations, residence times (k0 (-1)), and feedback parameters. A simple mathematical model quantitatively accounts for the experimentally found oscillations...
  19. doi request reprint Diffusively coupled chemical oscillators in a microfluidic assembly
    Masahiro Toiya
    Department of Chemistry and Volen Center for Complex Systems, MS015, Brandeis University, 415 South St, Waltham, MA 02454, USA
    Angew Chem Int Ed Engl 47:7753-5. 2008
  20. pmc From the Cover: Segmented spiral waves in a reaction-diffusion system
    Vladimir K Vanag
    Department of Chemistry and Volen Center for Complex Systems, Brandeis University, Waltham, MA 02454, USA
    Proc Natl Acad Sci U S A 100:14635-8. 2003
    ..They exhibit aspects of such fundamental biological behavior as self-replication of structural elements and preservation of morphology during evolutionary development from a simpler precursor to a more complex structure...
  21. ncbi request reprint Locking of Turing patterns in the chlorine dioxide-iodine-malonic acid reaction with one-dimensional spatial periodic forcing
    Milos Dolnik
    Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, Waltham, MA 02454, USA
    Phys Chem Chem Phys 13:12578-83. 2011
    ..These findings confirm that additive one-dimensional forcing can generate a two-dimensional resonant response. However, such a response is considerably less robust than the effect of multiplicative forcing...
  22. doi request reprint Pulse-coupled chemical oscillators with time delay
    Viktor Horváth
    Department of Chemistry, Brandeis University, Waltham, MA 02454 9110, USA
    Angew Chem Int Ed Engl 51:6878-81. 2012
    ..These features are not observed in diffusively coupled systems, and shed light on how such pulse coupling occurs at synapses...
  23. ncbi request reprint Rearrangement dynamics of fishbonelike Turing patterns generated by spatial periodic forcing
    Tamás Bánsági
    Department of Chemistry and Volen Center for Complex Systems, Brandeis University, Waltham, Massachusetts 02454 9110, USA
    Phys Rev E Stat Nonlin Soft Matter Phys 81:066207. 2010
    ..These unforced, fishbonelike configurations undergo self-reorganization and establish stationary arrangements, some of which fully exhibit, while others partially or completely lose, the symmetry of the initially imposed pattern...
  24. ncbi request reprint Turing patterns in the chlorine dioxide-iodine-malonic acid reaction with square spatial periodic forcing
    Daniel Feldman
    Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, Waltham, MA 02454, USA
    Phys Chem Chem Phys 14:6577-83. 2012
    ..Numerical simulations using a model that incorporates additive two-dimensional spatially periodic forcing reproduce well the experimental observations...
  25. ncbi request reprint Introduction: Self-organization in nonequilibrium chemical systems
    Irving R Epstein
    Department of Chemistry, MS 015, Brandeis University, Waltham, Massachusetts 02454 9110, USA
    Chaos 16:037101. 2006
    ..The articles in this Focus Issue provide an overview of the development and current state of the field...
  26. ncbi request reprint Tomography of reaction-diffusion microemulsions reveals three-dimensional turing patterns
    Tamás Bánsági
    Department of Chemistry, MS 015, Brandeis University, Waltham, MA 02454, USA
    Science 331:1309-12. 2011
    ..We demonstrate the existence of Turing patterns that can exist only in three dimensions, including curved surfaces, hexagonally packed cylinders, spots, and labyrinthine and lamellar patterns...
  27. ncbi request reprint High-frequency oscillations in the Belousov-Zhabotinsky reaction
    Tamás Bánsági
    Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, Waltham, Massachusetts 02454 9110, USA
    J Phys Chem A 113:5644-8. 2009
    ..We show that our simple model accurately captures the complex temporal behavior of the system and suggests paths toward even higher frequencies...
  28. ncbi request reprint Wavelength halving in a transition between standing waves and traveling waves
    Akiko Kaminaga
    Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, Waltham, Massachusetts 02454, USA
    Phys Rev Lett 95:058302. 2005
    ..In the Belousov-Zhabotinsky reaction-diffusion system dispersed in a newly developed water-in-oil aerosol OT/Span-20 microemulsion, the transition between standing waves and traveling waves is accompanied by a halving of the wavelength...
  29. doi request reprint Temperature (over)compensation in an oscillatory surface reaction
    Raphael Nagao
    Instituto de Quimica de Sao Carlos, Universidade de Sao Paulo, C P 780, CEP 13560 970, Sao Carlos SP, Brasil
    J Phys Chem A 112:4617-24. 2008
    ....
  30. ncbi request reprint Amplitude equations for reaction-diffusion systems with cross diffusion
    Evgeny P Zemskov
    Department of Chemistry, MS 015, Brandeis University, Waltham, Massachusetts 02454 9110, USA
    Phys Rev E Stat Nonlin Soft Matter Phys 84:036216. 2011
    ..Our analysis facilitates finding regions of supercritical and subcritical bifurcations, as well as wave and antiwave domains and domains of turbulent waves in the case of Hopf instability...
  31. ncbi request reprint Excitatory and inhibitory coupling in a one-dimensional array of Belousov-Zhabotinsky micro-oscillators: Theory
    Vladimir K Vanag
    Department of Chemistry, Brandeis University, Waltham, Massachusetts 02454 9110, USA
    Phys Rev E Stat Nonlin Soft Matter Phys 84:066209. 2011
    ....
  32. ncbi request reprint Periodic perturbation of one of two identical chemical oscillators coupled via inhibition
    Vladimir K Vanag
    Department of Chemistry, Brandeis University, Waltham, Massachusetts 02454, USA
    Phys Rev E Stat Nonlin Soft Matter Phys 81:066213. 2010
    ..The period of the perturbed oscillator can be tuned over a wide range (from T0 to >10T0) by varying T(p) between T(C) and T0...
  33. ncbi request reprint Temperature control of pattern formation in the Ru(bpy)(3)(2+)-catalyzed BZ-AOT system
    Rachel McIlwaine
    Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, Waltham, 02454 9110, USA
    Phys Chem Chem Phys 11:1581-7. 2009
    ..We attribute the pattern transitions to a temperature-induced percolation transition of the BZ-AOT microemulsion, implying a change from isolated water nanodroplets to a system-spanning network of water channels...
  34. ncbi request reprint Cross-diffusion and pattern formation in reaction-diffusion systems
    Vladimir K Vanag
    Department of Chemistry and Volen Center for Complex Systems, MS015, Brandeis University, 415 South St, Waltham, MA 02454, USA
    Phys Chem Chem Phys 11:897-912. 2009
    ..We also show that, in the absence of cross-diffusion among the reacting species, introduction of a nonreactive species that induces appropriate cross-diffusive fluxes with reactive species can lead to pattern formation...
  35. ncbi request reprint Role of the neurogranin concentrated in spines in the induction of long-term potentiation
    Anatol M Zhabotinsky
    Department of Chemistry, Brandeis University, Waltham, Massachusetts 02454 9110, USA
    J Neurosci 26:7337-47. 2006
    ..Therefore, inducing LTP with a short tetanus requires calmodulin stored in spines in the form of rapidly dissociating calmodulin-neurogranin complexes...
  36. ncbi request reprint Spatial resonances and superposition patterns in a reaction-diffusion model with interacting Turing modes
    Lingfa Yang
    Department of Chemistry and Center for Complex Systems, MS 015, Brandeis University, Waltham, Massachusetts 02454 9110, USA
    Phys Rev Lett 88:208303. 2002
    ..A three-phase oscillatory interlacing hexagonal lattice pattern is also found, and its appearance is attributed to resonance between a Turing mode and its subharmonic...
  37. doi request reprint Long-lasting dashed waves in a reactive microemulsion
    Jorge Carballido-Landeira
    Group of Nonlinear Physics, Universidade de Santiago de Compostela, Santiago de Compostela, E 15782, Spain
    Phys Chem Chem Phys 10:1094-6. 2008
    ..Addition of PEO lengthens the period during which these patterns are observed, so that dashed waves can persist for 12-14 h, in contrast to the 2-3 h found in earlier studies without added polymer...
  38. ncbi request reprint Optimization of robustness and connectivity in complex networks
    Benjamin Shargel
    New England Complex Systems Institute, Cambridge, Massachusetts 02138, USA
    Phys Rev Lett 90:068701. 2003
    ....
  39. ncbi request reprint Periodic pulses of calcium ions in a chemical system
    Krisztina Kurin-Csörgei
    Department of Inorganic and Analytical Chemistry, L Eotvos University, H 1518 Budapest 112, P O Box 32, Hungary
    J Phys Chem A 110:7588-92. 2006
    ..These pulses may be observed either with a calcium ion-selective electrode or with Arsenazo(III) as an indicator. We describe the systematic design procedure and the properties of this first abiotic calcium-based chemical oscillator...
  40. pmc Response of complex networks to stimuli
    Yaneer Bar-Yam
    New England Complex Systems Institute, Cambridge, MA 02138, USA
    Proc Natl Acad Sci U S A 101:4341-5. 2004
    ..Phenomenologically observed exponents for functional scale-free networks fall in a range corresponding to the onset of particularly high sensitivities, while still retaining robustness...