Irving R. Epstein - Publications

Affiliations: 
1971- Chemistry Brandeis University, Waltham, MA, United States 
Area:
oscillatory chemical reactions, spatial pattern formation, dynamical systems and neurobiology
Website:
http://www.bio.brandeis.edu/faculty/epstein.html

280 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2021 Cupić ŽD, Taylor AF, Horváth D, Orlik M, Epstein IR. Editorial: Advances in Oscillating Reactions. Frontiers in Chemistry. 9: 690699. PMID 33996772 DOI: 10.3389/fchem.2021.690699  0.539
2020 Awal NM, Epstein IR. Post-canard symmetry breaking and other exotic dynamic behaviors in identical coupled chemical oscillators. Physical Review. E. 101: 042222. PMID 32422823 DOI: 10.1103/Physreve.101.042222  0.341
2020 Wang L, Yu Z, Gao Q, Wang H, Ren L, Ji C, Epstein IR. Capillarity-Induced Propagation Reversal of Chemical Waves in a Self-Oscillating Gel. The Journal of Physical Chemistry. A. PMID 32298110 DOI: 10.1021/Acs.Jpca.0C01087  0.361
2020 Epstein IR, Ren L, Wang L, Gao Q, Teng R, Xu Z, Wang J, Pan C. Programmed Locomotion of an Active Gel Driven by Spiral Waves. Angewandte Chemie (International Ed. in English). PMID 32059069 DOI: 10.1002/Anie.202000110  0.317
2019 Teng R, Ren L, Yuan L, Wang L, Gao QY, Epstein IR. Effect of Reaction Parameters on the Wavelength of Pulse Waves in the Belousov-Zhabotinsky Reaction-Diffusion System. The Journal of Physical Chemistry. A. PMID 31580676 DOI: 10.1021/Acs.Jpca.9B08254  0.357
2019 Konow C, Somberg NH, Chavez J, Epstein IR, Dolnik M. Turing patterns on radially growing domains: experiments and simulations. Physical Chemistry Chemical Physics : Pccp. 21: 6718-6724. PMID 30860212 DOI: 10.1039/C8Cp07797E  0.313
2019 Horváth V, Kutner DJ, Zeng MD, Epstein IR. Phase-frequency model of strongly pulse-coupled Belousov-Zhabotinsky oscillators. Chaos (Woodbury, N.Y.). 29: 023128. PMID 30823715 DOI: 10.1063/1.5082161  0.322
2019 Awal NM, Bullara D, Epstein IR. The smallest chimera: Periodicity and chaos in a pair of coupled chemical oscillators. Chaos (Woodbury, N.Y.). 29: 013131. PMID 30709119 DOI: 10.1063/1.5060959  0.328
2019 Nagao PDR, de Miranda RCC, Epstein IR, Dolnik M. Modulation of Turing Patterns in the CDIMA Reaction by Ultraviolet and Visible Light. The Journal of Physical Chemistry. A. PMID 30646688 DOI: 10.1021/Acs.Jpca.8B10819  0.311
2019 Epstein IR. Reaction: Life Is Messy Chem. 5: 1922-1923. DOI: 10.1016/J.Chempr.2019.05.004  0.305
2018 Horvath V, Epstein IR. Pulse-coupled Belousov-Zhabotinsky oscillators with frequency modulation. Chaos (Woodbury, N.Y.). 28: 045108. PMID 31906644 DOI: 10.1063/1.5021585  0.342
2018 Bullara D, Decker YD, Epstein IR. On the possibility of spontaneous chemomechanical oscillations in adsorptive porous media. Philosophical Transactions of the Royal Society A. 376: 20170374. PMID 30420542 DOI: 10.1098/Rsta.2017.0374  0.309
2018 González Ochoa HO, Perales GS, Epstein IR, Femat R. Effects of stochastic time-delayed feedback on a dynamical system modeling a chemical oscillator. Physical Review. E. 97: 052214. PMID 29906855 DOI: 10.1103/Physreve.97.052214  0.326
2018 Horváth V, Epstein IR, Kustin K. Correction to "Mechanism of the Ferrocyanide-Iodate-Sulfite Oscillatory Chemical Reaction". The Journal of Physical Chemistry. A. PMID 29790334 DOI: 10.1021/Acs.Jpca.8B04634  0.333
2017 Ren L, Wang M, Pan C, Gao Q, Liu Y, Epstein IR. Autonomous reciprocating migration of an active material. Proceedings of the National Academy of Sciences of the United States of America. PMID 28760961 DOI: 10.1073/Pnas.1704094114  0.322
2017 Epstein IR, Gao Q. Photo-Controlled Waves and Active Locomotion. Chemistry (Weinheim An Der Bergstrasse, Germany). PMID 28474377 DOI: 10.1002/Chem.201700725  0.372
2016 Ren L, She W, Gao Q, Pan C, Ji C, Epstein IR. Retrograde and Direct Wave Locomotion in a Photosensitive Self-Oscillating Gel. Angewandte Chemie (International Ed. in English). PMID 27735127 DOI: 10.1002/Anie.201608367  0.342
2016 Gaskins DK, Pruc EE, Epstein IR, Dolnik M. Multifold Increases in Turing Pattern Wavelength in the Chlorine Dioxide-Iodine-Malonic Acid Reaction-Diffusion System. Physical Review Letters. 117: 056001. PMID 27517779 DOI: 10.1103/Physrevlett.117.056001  0.367
2016 Luo H, Wang C, Ren L, Gao Q, Pan C, Epstein IR. Light-Modulated Intermittent Wave Groups in a Diffusively Fed Reactive Gel. Angewandte Chemie (International Ed. in English). 55: 4988-91. PMID 27079819 DOI: 10.1002/Anie.201600889  0.375
2016 Epstein IR, Xu B. Reaction-diffusion processes at the nano- and microscales. Nature Nanotechnology. 11: 312-9. PMID 27045215 DOI: 10.1038/Nnano.2016.41  0.341
2016 Horváth V, Epstein IR, Kustin K. Mechanism of the Ferrocyanide-Iodate-Sulfite Oscillatory Chemical Reaction. The Journal of Physical Chemistry. A. PMID 26949219 DOI: 10.1021/Acs.Jpca.5B11152  0.347
2015 Ren L, Fan B, Gao Q, Zhao Y, Luo H, Xia Y, Lu X, Epstein IR. Experimental, numerical, and mechanistic analysis of the nonmonotonic relationship between oscillatory frequency and photointensity for the photosensitive Belousov-Zhabotinsky oscillator. Chaos (Woodbury, N.Y.). 25: 064607. PMID 26117132 DOI: 10.1063/1.4921693  0.314
2015 Orbán M, Kurin-Csörgei K, Epstein IR. pH-regulated chemical oscillators. Accounts of Chemical Research. 48: 593-601. PMID 25705810 DOI: 10.1021/Ar5004237  0.333
2015 Horvath V, Kutner DJ, Chavis JT, Epstein IR. Pulse-coupled BZ oscillators with unequal coupling strengths. Physical Chemistry Chemical Physics : Pccp. 17: 4664-76. PMID 25587932 DOI: 10.1039/C4Cp05416D  0.333
2014 Haim L, Hagberg A, Nagao R, Steinberg AP, Dolnik M, Epstein IR, Meron E. Fronts and patterns in a spatially forced CDIMA reaction. Physical Chemistry Chemical Physics : Pccp. 16: 26137-43. PMID 25360810 DOI: 10.1039/C4Cp04261A  0.586
2014 Tang X, Yang T, Epstein IR, Liu Y, Zhao Y, Gao Q. Novel type of chimera spiral waves arising from decoupling of a diffusible component. The Journal of Chemical Physics. 141: 024110. PMID 25028002 DOI: 10.1063/1.4886395  0.333
2014 Tang X, He Y, Epstein IR, Wang Q, Wang S, Gao Q. Diffusion-induced periodic transition between oscillatory modes in amplitude-modulated patterns. Chaos (Woodbury, N.Y.). 24: 023109. PMID 24985423 DOI: 10.1063/1.4872215  0.35
2014 Epstein IR. Coupled chemical oscillators and emergent system properties. Chemical Communications (Cambridge, England). 50: 10758-67. PMID 24835430 DOI: 10.1039/C4Cc00290C  0.334
2014 Perini N, Batista BC, Angelo AC, Epstein IR, Varela H. Long-lasting oscillations in the electro-oxidation of formic acid on PtSn intermetallic surfaces. Chemphyschem : a European Journal of Chemical Physics and Physical Chemistry. 15: 1753-60. PMID 24789345 DOI: 10.1002/Cphc.201301186  0.558
2014 Li N, Delgado J, González-Ochoa HO, Epstein IR, Fraden S. Combined excitatory and inhibitory coupling in a 1-D array of Belousov-Zhabotinsky droplets. Physical Chemistry Chemical Physics : Pccp. 16: 10965-78. PMID 24770658 DOI: 10.1039/C4Cp00957F  0.356
2014 Tompkins N, Li N, Girabawe C, Heymann M, Ermentrout GB, Epstein IR, Fraden S. Testing Turing's theory of morphogenesis in chemical cells. Proceedings of the National Academy of Sciences of the United States of America. 111: 4397-402. PMID 24616508 DOI: 10.1073/Pnas.1322005111  0.325
2014 Preska Steinberg A, Epstein IR, Dolnik M. Target Turing patterns and growth dynamics in the chlorine dioxide-iodine-malonic acid reaction. The Journal of Physical Chemistry. A. 118: 2393-400. PMID 24601764 DOI: 10.1021/Jp500432T  0.344
2014 Gentili PL, Dolnik M, Epstein IR. "Photochemical oscillator": Colored hydrodynamic oscillations and waves in a photochromic system Journal of Physical Chemistry C. 118: 598-608. DOI: 10.1021/Jp407393H  0.368
2014 Perini N, Batista BC, Angelo ACD, Epstein IR, Varela H. Cover Picture: Long-Lasting Oscillations in the Electro-Oxidation of Formic Acid on PtSn Intermetallic Surfaces (ChemPhysChem 9/2014) Chemphyschem. 15: 1713-1713. DOI: 10.1002/Cphc.201490040  0.517
2014 Perini N, Batista BC, Angelo ACD, Epstein IR, Varela H. Long-lasting oscillations in the electro-oxidation of formic acid on PtSn intermetallic surfaces Chemphyschem. 15: 1753-1760. DOI: 10.1002/cphc.201301186  0.459
2013 Nagao R, Epstein IR, Dolnik M. Forcing of Turing patterns in the chlorine dioxide-iodine-malonic acid reaction with strong visible light. The Journal of Physical Chemistry. A. 117: 9120-6. PMID 23991763 DOI: 10.1021/Jp4073069  0.559
2013 Lu X, Ren L, Gao Q, Zhao Y, Wang S, Yang J, Epstein IR. Photophobic and phototropic movement of a self-oscillating gel. Chemical Communications (Cambridge, England). 49: 7690-2. PMID 23884557 DOI: 10.1039/C3Cc44480E  0.311
2013 Yang J, Song Y, Varela H, Epstein IR, Bi W, Yu H, Zhao Y, Gao Q. The effect of chloride on spatiotemporal dynamics in the electro-oxidation of sulfide on platinum Electrochimica Acta. 98: 116-122. DOI: 10.1016/J.Electacta.2013.03.042  0.568
2012 Tang X, Gao Q, Gong S, Zhao Y, Epstein IR. Spiral waves with superstructures in a mixed-mode oscillatory medium. The Journal of Chemical Physics. 137: 214303. PMID 23231227 DOI: 10.1063/1.4768895  0.379
2012 Bánsági T, Vanag VK, Epstein IR. Two- and three-dimensional standing waves in a reaction-diffusion system. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 86: 045202. PMID 23214640 DOI: 10.1103/Physreve.86.045202  0.355
2012 Horvath V, Gentili PL, Vanag VK, Epstein IR. Pulse-coupled chemical oscillators with time delay. Angewandte Chemie (International Ed. in English). 51: 6878-81. PMID 22674752 DOI: 10.1002/Anie.201201962  0.305
2012 Feldman D, Nagao R, Bánsági T, Epstein IR, Dolnik M. Turing patterns in the chlorine dioxide-iodine-malonic acid reaction with square spatial periodic forcing. Physical Chemistry Chemical Physics : Pccp. 14: 6577-83. PMID 22456449 DOI: 10.1039/C2Cp23779B  0.598
2012 Zhang Y, Li N, Delgado J, Gao Y, Kuang Y, Fraden S, Epstein IR, Xu B. Post-self-assembly cross-linking of molecular nanofibers for oscillatory hydrogels. Langmuir : the Acs Journal of Surfaces and Colloids. 28: 3063-6. PMID 22276980 DOI: 10.1021/La203923D  0.331
2012 Epstein IR, Vanag VK, Balazs AC, Kuksenok O, Dayal P, Bhattacharya A. Chemical oscillators in structured media. Accounts of Chemical Research. 45: 2160-8. PMID 22204671 DOI: 10.1021/Ar200251J  0.562
2012 Zhang Y, Li N, Delgado J, Zhou N, Yoshida R, Fraden S, Epstein IR, Xu B. Structural modulation of self-oscillating gels: Changing the proximity of the catalyst to the polymer backbone to tailor chemomechanical oscillation Soft Matter. 8: 7056-7061. DOI: 10.1039/C2Sm25797A  0.331
2011 Vanag VK, Epstein IR. Excitatory and inhibitory coupling in a one-dimensional array of Belousov-Zhabotinsky micro-oscillators: theory. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 84: 066209. PMID 22304180 DOI: 10.1103/Physreve.84.066209  0.363
2011 Míguez DG, Dolnik M, Epstein I, Muñuzuri AP. Interaction of chemical patterns in coupled layers. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 84: 046210. PMID 22181248 DOI: 10.1103/Physreve.84.046210  0.34
2011 Zemskov EP, Vanag VK, Epstein IR. Amplitude equations for reaction-diffusion systems with cross diffusion. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 84: 036216. PMID 22060484 DOI: 10.1103/Physreve.84.036216  0.318
2011 Dolnik M, Bánsági T, Ansari S, Valent I, Epstein IR. Locking of Turing patterns in the chlorine dioxide-iodine-malonic acid reaction with one-dimensional spatial periodic forcing. Physical Chemistry Chemical Physics : Pccp. 13: 12578-83. PMID 21666931 DOI: 10.1039/C1Cp20949C  0.338
2011 Zemskov EP, Kassner K, Tsyganov MA, Epstein IR. Speed of traveling fronts in a sigmoidal reaction-diffusion system. Chaos (Woodbury, N.Y.). 21: 013115. PMID 21456829 DOI: 10.1063/1.3562546  0.359
2011 Bánsági T, Vanag VK, Epstein IR. Tomography of reaction-diffusion microemulsions reveals three-dimensional Turing patterns. Science (New York, N.Y.). 331: 1309-12. PMID 21310963 DOI: 10.1126/Science.1200815  0.348
2011 Rossi F, Vanag VK, Epstein IR. Pentanary cross-diffusion in water-in-oil microemulsions loaded with two components of the Belousov-Zhabotinsky reaction. Chemistry (Weinheim An Der Bergstrasse, Germany). 17: 2138-45. PMID 21254264 DOI: 10.1002/Chem.201002069  0.309
2011 Zemskov EP, Epstein IR, Muntean A. Oscillatory pulses in FitzHugh-Nagumo type systems with cross-diffusion. Mathematical Medicine and Biology : a Journal of the Ima. 28: 217-26. PMID 20685831 DOI: 10.1093/Imammb/Dqq012  0.32
2011 Delgado J, Li N, Leda M, González-Ochoa HO, Fraden S, Epstein IR. Coupled oscillations in a 1D emulsion of Belousov-Zhabotinsky droplets Soft Matter. 7: 3155-3167. DOI: 10.1039/C0Sm01240H  0.326
2011 Zhao Y, Wang S, Varela H, Gao Q, Hu X, Yang J, Epstein IR. Spatiotemporal pattern formation in the oscillatory electro-oxidation of sulfide on a platinum disk Journal of Physical Chemistry C. 115: 12965-12971. DOI: 10.1021/Jp202881H  0.535
2010 Zemskov EP, Epstein IR. Wave propagation in a FitzHugh-Nagumo-type model with modified excitability. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 82: 026207. PMID 20866893 DOI: 10.1103/Physreve.82.026207  0.333
2010 Bánsági T, Ansari S, Epstein IR, Dolnik M. Rearrangement dynamics of fishbonelike Turing patterns generated by spatial periodic forcing. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 81: 066207. PMID 20866501 DOI: 10.1103/Physreve.81.066207  0.351
2010 Yuan L, Gao Q, Zhao Y, Tang X, Epstein IR. Temperature-induced bifurcations in the Cu(II)-catalyzed and catalyst-free hydrogen peroxide-thiosulfate oscillating reaction. The Journal of Physical Chemistry. A. 114: 7014-20. PMID 20536217 DOI: 10.1021/Jp102010K  0.305
2010 Carballido-Landeira J, Vanag VK, Epstein IR. Patterns in the Belousov-Zhabotinsky reaction in water-in-oil microemulsion induced by a temperature gradient. Physical Chemistry Chemical Physics : Pccp. 12: 3656-65. PMID 20358062 DOI: 10.1039/B919278F  0.319
2010 Horváth V, Kurin-Csörgei K, Epstein IR, Orbán M. Oscillatory concentration pulses of some divalent metal ions induced by a redox oscillator. Physical Chemistry Chemical Physics : Pccp. 12: 1248-52. PMID 20119602 DOI: 10.1039/B919924A  0.327
2010 Toiya M, González-Ochoa HO, Vanag VK, Fraden S, Epstein IR. Synchronization of chemical micro-oscillators Journal of Physical Chemistry Letters. 1: 1241-1246. DOI: 10.1021/Jz100238U  0.377
2010 Epstein IR, Pojman JA, Tran-Cong-Miyata Q. What Is Nonlinear Dynamics and How Does It Relate to Polymers? Nonlinear Dynamics With Polymers: Fundamentals, Methods and Applications. 5-19. DOI: 10.1002/9783527632602.ch2  0.44
2009 Gao Q, Li J, Zhang K, Epstein IR. Spiral instabilities in media supporting complex oscillations under periodic forcing. Chaos (Woodbury, N.Y.). 19: 033134. PMID 19792014 DOI: 10.1063/1.3224031  0.355
2009 Balazs AC, Epstein IR. Chemistry. Emergent or just complex? Science (New York, N.Y.). 325: 1632-4. PMID 19779180 DOI: 10.1126/Science.1178323  0.48
2009 Vanag VK, Epstein IR. Pattern formation mechanisms in reaction-diffusion systems. The International Journal of Developmental Biology. 53: 673-81. PMID 19557676 DOI: 10.1387/Ijdb.072484Vv  0.368
2009 Bánsági T, Leda M, Toiya M, Zhabotinsky AM, Epstein IR. High-frequency oscillations in the Belousov-Zhabotinsky reaction. The Journal of Physical Chemistry. A. 113: 5644-8. PMID 19374364 DOI: 10.1021/Jp901318Z  0.326
2009 Gao Q, Zhang L, Wang Q, Epstein IR. Arm splitting and backfiring of spiral waves in media displaying local mixed-mode oscillations. Chaos (Woodbury, N.Y.). 19: 013135. PMID 19334999 DOI: 10.1063/1.3093047  0.363
2009 Vanag VK, Epstein IR. Cross-diffusion and pattern formation in reaction-diffusion systems. Physical Chemistry Chemical Physics : Pccp. 11: 897-912. PMID 19177206 DOI: 10.1039/B813825G  0.308
2009 Mao S, Gao Q, Wang H, Zheng J, Epstein IR. Oscillations and mechanistic analysis of the chlorite-sulfide reaction in a continuous-flow stirred tank reactor. The Journal of Physical Chemistry. A. 113: 1231-4. PMID 19159207 DOI: 10.1021/Jp807802V  0.327
2009 Kovacs K, Leda M, Vanag VK, Epstein IR. Small-amplitude and mixed-mode pH oscillations in the bromate-sulfite-ferrocyanide-aluminum(III) system. The Journal of Physical Chemistry. A. 113: 146-56. PMID 19086810 DOI: 10.1021/Jp807840G  0.31
2009 Vanag VK, Epstein IR. A model for jumping and bubble waves in the Belousov-Zhabotinsky-aerosol OT system Journal of Chemical Physics. 131. DOI: 10.1063/1.3231488  0.389
2008 Berenstein I, Muñuzuri AP, Yang L, Dolnik M, Zhabotinsky AM, Epstein IR. Breathing spiral waves in the chlorine dioxide-iodine-malonic acid reaction-diffusion system. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 78: 025101. PMID 18850879 DOI: 10.1103/Physreve.78.025101  0.721
2008 Toiya M, Vanag VK, Epstein IR. Diffusively coupled chemical oscillators in a microfluidic assembly. Angewandte Chemie (International Ed. in English). 47: 7753-5. PMID 18756573 DOI: 10.1002/Anie.200802339  0.369
2008 Vanag VK, Epstein IR. Design and control of patterns in reaction-diffusion systems. Chaos (Woodbury, N.Y.). 18: 026107. PMID 18601509 DOI: 10.1063/1.2900555  0.372
2008 Feng J, Gao Q, Lv X, Epstein IR. Dynamic complexity in the electrochemical oxidation of thiourea. The Journal of Physical Chemistry. A. 112: 6578-85. PMID 18582028 DOI: 10.1021/Jp802002K  0.323
2008 Cherkashin AA, Vanag VK, Epstein IR. Discontinuously propagating waves in the bathoferroin-catalyzed Belousov-Zhabotinsky reaction incorporated into a microemulsion. The Journal of Chemical Physics. 128: 204508. PMID 18513033 DOI: 10.1063/1.2924119  0.323
2008 Nagao R, Epstein IR, Gonzalez ER, Varela H. Temperature (over)compensation in an oscillatory surface reaction. The Journal of Physical Chemistry. A. 112: 4617-24. PMID 18433166 DOI: 10.1021/Jp801361J  0.657
2008 Carballido-Landeira J, Berenstein I, Taboada P, Mosquera V, Vanag VK, Epstein IR, Pérez-Villar V, Muñuzuri AP. Long-lasting dashed waves in a reactive microemulsion. Physical Chemistry Chemical Physics : Pccp. 10: 1094-6. PMID 18270609 DOI: 10.1039/B714705H  0.699
2008 Epstein IR, Berenstein IB, Dolnik M, Vanag VK, Yang L, Zhabotinsky AM. Coupled and forced patterns in reaction-diffusion systems. Philosophical Transactions. Series a, Mathematical, Physical, and Engineering Sciences. 366: 397-408. PMID 17673412 DOI: 10.1098/Rsta.2007.2097  0.741
2007 Vanag VK, Epstein IR. Localized patterns in reaction-diffusion systems. Chaos (Woodbury, N.Y.). 17: 037110. PMID 17903017 DOI: 10.1063/1.2752494  0.349
2007 Zhang R, Yang L, Zhabotinsky AM, Epstein IR. Propagation and refraction of chemical waves generated by local periodic forcing in a reaction-diffusion model. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 76: 016201. PMID 17677537 DOI: 10.1103/Physreve.76.016201  0.352
2007 Míguez DG, Vanag VK, Epstein IR. Fronts and pulses in an enzymatic reaction catalyzed by glucose oxidase. Proceedings of the National Academy of Sciences of the United States of America. 104: 6992-7. PMID 17420460 DOI: 10.1073/Pnas.0611438104  0.365
2007 Luo Y, Epstein IR. Feedback Analysis of Mechanisms for Chemical Oscillators Advances in Chemical Physics. 79: 269-299. DOI: 10.1002/9780470141281.Ch3  0.319
2006 Vanag VK, Míguez DG, Epstein IR. Designing an enzymatic oscillator: bistability and feedback controlled oscillations with glucose oxidase in a continuous flow stirred tank reactor. The Journal of Chemical Physics. 125: 194515. PMID 17129131 DOI: 10.1063/1.2378833  0.302
2006 Horváth AK, Nagypál I, Epstein IR. Three autocatalysts and self-inhibition in a single reaction: a detailed mechanism of the chlorite-tetrathionate reaction. Inorganic Chemistry. 45: 9877-83. PMID 17112285 DOI: 10.1021/Ic061332T  0.338
2006 Yang L, Zhabotinsky AM, Epstein IR. Jumping solitary waves in an autonomous reaction-diffusion system with subcritical wave instability. Physical Chemistry Chemical Physics : Pccp. 8: 4647-51. PMID 17047760 DOI: 10.1039/B609214D  0.337
2006 Epstein IR. Predicting complex biology with simple chemistry. Proceedings of the National Academy of Sciences of the United States of America. 103: 15727-8. PMID 17043211 DOI: 10.1073/Pnas.0608026103  0.31
2006 Yang L, Dolnik M, Zhabotinsky AM, Epstein IR. Turing patterns beyond hexagons and stripes. Chaos (Woodbury, N.Y.). 16: 037114. PMID 17014248 DOI: 10.1063/1.2214167  0.352
2006 Epstein IR, Pojman JA, Steinbock O. Introduction: Self-organization in nonequilibrium chemical systems. Chaos (Woodbury, N.Y.). 16: 037101. PMID 17014235 DOI: 10.1063/1.2354477  0.711
2006 Vanag VK, Epstein IR. Resonance-induced oscillons in a reaction-diffusion system. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 73: 016201. PMID 16486252 DOI: 10.1103/Physreve.73.016201  0.354
2005 Berenstein I, Yang L, Dolnik M, Zhabotinsky AM, Epstein IR. Dynamic mechanism of photochemical induction of turing superlattices in the chlorine dioxide-iodine-malonic acid reaction-diffusion system. The Journal of Physical Chemistry. A. 109: 5382-7. PMID 16839063 DOI: 10.1021/Jp0505882  0.722
2005 Epstein IR, Vanag VK. Complex patterns in reactive microemulsions: self-organized nanostructures? Chaos (Woodbury, N.Y.). 15: 047510. PMID 16396603 DOI: 10.1063/1.2102447  0.363
2005 Kaminaga A, Vanag VK, Epstein IR. Wavelength halving in a transition between standing waves and traveling waves. Physical Review Letters. 95: 058302. PMID 16090924 DOI: 10.1103/Physrevlett.95.058302  0.317
2005 Yang L, Berenstein I, Epstein IR. Segmented waves from a spatiotemporal transverse wave instability. Physical Review Letters. 95: 038303. PMID 16090777 DOI: 10.1103/Physrevlett.95.038303  0.692
2005 Vanag VK, Epstein IR. Out-of-phase oscillatory Turing patterns in a bistable reaction-diffusion system. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 71: 066212. PMID 16089854 DOI: 10.1103/Physreve.71.066212  0.38
2005 Kaminaga A, Vanag VK, Epstein IR. "Black spots" in a surfactant-rich Belousov-Zhabotinsky reaction dispersed in a water-in-oil microemulsion system. The Journal of Chemical Physics. 122: 174706. PMID 15910059 DOI: 10.1063/1.1888386  0.343
2005 Kurin-Csörgei K, Epstein IR, Orbán M. Systematic design of chemical oscillators using complexation and precipitation equilibria. Nature. 433: 139-42. PMID 15650734 DOI: 10.1038/Nature03214  0.393
2004 Berenstein I, Dolnik M, Yang L, Zhabotinsky AM, Epstein IR. Turing pattern formation in a two-layer system: superposition and superlattice patterns. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 70: 046219. PMID 15600507 DOI: 10.1103/Physreve.70.046219  0.695
2004 Vanag VK, Epstein IR. Subcritical wave instability in reaction-diffusion systems. The Journal of Chemical Physics. 121: 890-4. PMID 15260620 DOI: 10.1063/1.1760742  0.398
2004 Yang L, Zhabotinsky AM, Epstein IR. Stable squares and other oscillatory turing patterns in a reaction-diffusion model. Physical Review Letters. 92: 198303. PMID 15169455 DOI: 10.1103/Physrevlett.92.198303  0.381
2004 Horváth AK, Nagypál I, Peintler G, Epstein IR. Autocatalysis and self-inhibition: coupled kinetic phenomena in the chlorite-tetrathionate reaction. Journal of the American Chemical Society. 126: 6246-7. PMID 15149218 DOI: 10.1021/Ja048982L  0.328
2004 Vanag VK, Epstein IR. Stationary and oscillatory localized patterns, and subcritical bifurcations. Physical Review Letters. 92: 128301. PMID 15089714 DOI: 10.1103/Physrevlett.92.128301  0.324
2004 Yang L, Epstein IR. Symmetric, asymmetric, and antiphase Turing patterns in a model system with two identical coupled layers. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 69: 026211. PMID 14995552 DOI: 10.1103/Physreve.69.026211  0.344
2004 Kurin-Csörgei K, Epstein IR, Orbán M. New heterogeneous chemical oscillators: Reduction of manganese species by hypophosphite on a Pt surface Journal of Physical Chemistry B. 108: 7352-7358. DOI: 10.1021/Jp0496304  0.311
2004 Epstein IR, Pojman JA, Tran-Cong-Miyata Q. Nonlinear dynamics and polymeric systems: An overview Acs Symposium Series. 869: 2-15.  0.463
2003 Vanag VK, Epstein IR. From the Cover: Segmented spiral waves in a reaction-diffusion system. Proceedings of the National Academy of Sciences of the United States of America. 100: 14635-8. PMID 14645709 DOI: 10.1073/Pnas.2534816100  0.394
2003 Berenstein I, Yang L, Dolnik M, Zhabotinsky AM, Epstein IR. Superlattice Turing structures in a photosensitive reaction-diffusion system. Physical Review Letters. 91: 058302. PMID 12906637 DOI: 10.1103/Physrevlett.91.058302  0.7
2003 Yang L, Epstein IR. Oscillatory Turing patterns in reaction-diffusion systems with two coupled layers. Physical Review Letters. 90: 178303. PMID 12786111 DOI: 10.1103/Physrevlett.90.178303  0.395
2003 Vanag VK, Epstein IR. Dash waves in a reaction-diffusion system. Physical Review Letters. 90: 098301. PMID 12689258 DOI: 10.1103/Physrevlett.90.098301  0.365
2003 Rotstein HG, Kopell N, Zhabotinsky AM, Epstein IR. A canard mechanism for localization in systems of globally coupled oscillators Siam Journal On Applied Mathematics. 63: 1998-2019. DOI: 10.1137/S0036139902411843  0.316
2003 Rotstein HG, Kopell N, Zhabotinsky AM, Epstein IR. Canard phenomenon and localization of oscillations in the Belousov-Zhabotinsky reaction with global feedback Journal of Chemical Physics. 119: 8824-8832. DOI: 10.1063/1.1614752  0.37
2003 Vanag VK, Epstein IR. Diffusive instabilities in heterogeneous systems Journal of Chemical Physics. 119: 7297-7307. DOI: 10.1063/1.1606677  0.339
2003 Sagués F, Epstein IR. Nonlinear chemical dynamics Dalton Transactions. 1201-1217. DOI: 10.1039/B210932H  0.338
2003 Szalai I, Kurin-Csörgei K, Epstein IR, Orbán M. Dynamics and Mechanism of Bromate Oscillators with 1,4-Cyclohexanedione Journal of Physical Chemistry A. 107: 10074-10081. DOI: 10.1021/Jp0360523  0.377
2003 Horváth AK, Nagypál I, Peintler G, Epstein IR, Kustin K. Kinetics and Mechanism of the Decomposition of Chlorous Acid Journal of Physical Chemistry A. 107: 6966-6973. DOI: 10.1021/Jp027411H  0.31
2003 Berenstein I, Dolnik M, Zhabotinsky AM, Epstein IR. Spatial periodic perturbation of turing pattern development using a striped mask Journal of Physical Chemistry A. 107: 4428-4435. DOI: 10.1021/Jp026546K  0.671
2002 Yang L, Dolnik M, Zhabotinsky AM, Epstein IR. Spatial resonances and superposition patterns in a reaction-diffusion model with interacting Turing modes. Physical Review Letters. 88: 208303. PMID 12005611 DOI: 10.1103/Physrevlett.88.208303  0.325
2002 Vanag VK, Epstein IR. Packet waves in a reaction-diffusion system. Physical Review Letters. 88: 088303. PMID 11863978 DOI: 10.1103/Physrevlett.88.088303  0.349
2002 Yang L, Dolnik M, Zhabotinsky AM, Epstein IR. Pattern formation arising from interactions between turing and wave instabilities Journal of Chemical Physics. 117: 7259-7265. DOI: 10.1063/1.1507110  0.329
2002 Orbán M, Kurin-Csörgei K, Zhabotinsky AM, Epstein IR. A new chemical system for studying pattern formation: Bromate–hypophosphite–acetone–dual catalyst Faraday Discussions. 120: 11-19. DOI: 10.1039/B102885P  0.301
2002 Yang L, Epstein IR. Chemical wave packet propagation, reflection, and spreading Journal of Physical Chemistry A. 106: 11676-11682. DOI: 10.1021/Jp0260907  0.314
2002 Vanag VK, Epstein IR. Comparative analysis of packet and trigger waves originating from a finite wavelength instability Journal of Physical Chemistry A. 106: 11394-11399. DOI: 10.1021/Jp026081Y  0.306
2001 Rotstein HG, Zhabotinsky AM, Epstein IR. Dynamics of one- and two-dimensional kinks in bistable reaction-diffusion equations with quasidiscrete sources of reaction. Chaos (Woodbury, N.Y.). 11: 833-842. PMID 12779522 DOI: 10.1063/1.1418459  0.351
2001 Dolnik M, Berenstein I, Zhabotinsky AM, Epstein IR. Spatial periodic forcing of Turing structures. Physical Review Letters. 87: 238301. PMID 11736479 DOI: 10.1103/Physrevlett.87.238301  0.697
2001 Vanag VK, Epstein IR. Pattern formation in a tunable medium: the Belousov-Zhabotinsky reaction in an aerosol OT microemulsion. Physical Review Letters. 87: 228301. PMID 11736430 DOI: 10.1103/Physrevlett.87.228301  0.346
2001 Vanag VK, Epstein IR. Inwardly rotating spiral waves in a reaction-diffusion system. Science (New York, N.Y.). 294: 835-7. PMID 11679665 DOI: 10.1126/Science.1064167  0.369
2001 Dolnik M, Zhabotinsky AM, Epstein IR. Resonant suppression of Turing patterns by periodic illumination. Physical Review E. 63: 26101. PMID 11308536 DOI: 10.1103/Physreve.63.026101  0.358
2000 Vanag VK, Zhabotinsky aAM, Epstein IR. Pattern Formation in the Belousov−Zhabotinsky Reaction with Photochemical Global Feedback Journal of Physical Chemistry A. 104: 11566-11577. DOI: 10.1021/Jp002390H  0.322
2000 Vanag VK, Zhabotinsky aAM, Epstein IR. Role of Dibromomalonic Acid in the Photosensitivity of the Ru(bpy)3 2+ -Catalyzed Belousov-Zhabotinsky Reaction Journal of Physical Chemistry A. 104: 8207-8215. DOI: 10.1021/Jp001418M  0.335
2000 Horváth AK, Dolnik M, Zhabotinsky aAM, Epstein IR. Kinetics of Photoresponse of the Chlorine Dioxide-Iodine-Malonic Acid Reaction Journal of Physical Chemistry A. 104: 5766-5769. DOI: 10.1021/Jp000352S  0.331
2000 Dolnik M, Zhabotinsky AM, Rovinsky AB, Epstein IR. Spatio-temporal patterns in a reaction–diffusion system with wave instability Chemical Engineering Science. 55: 223-231. DOI: 10.1016/S0009-2509(99)00318-8  0.349
1999 Epstein IR, Pojman JA. Overview: Nonlinear dynamics related to polymeric systems. Chaos (Woodbury, N.Y.). 9: 255-259. PMID 12779822 DOI: 10.1063/1.166401  0.517
1999 Horváth AK, Dolnik M, Muñuzuri AP, Zhabotinsky AM, Epstein IR. Control of Turing Structures by Periodic Illumination Physical Review Letters. 83: 2950-2952. DOI: 10.1103/Physrevlett.83.2950  0.35
1999 Dolnik M, Gardner TS, Epstein IR, Collins JJ. Frequency Control of an Oscillatory Reaction by Reversible Binding of an Autocatalyst Physical Review Letters. 82: 1582-1585. DOI: 10.1103/Physrevlett.82.1582  0.34
1999 Orbán M, Kurin-Csörgei K, Zhabotinsky AM, Epstein IR. Pattern formation during polymerization of acrylamide in the presence of sulfide ions Journal of Physical Chemistry B. 103: 36-40. DOI: 10.1021/Jp982968B  0.329
1999 Dolnik M, Rovinsky AB, Zhabotinsky aAM, Epstein IR. Standing Waves in a Two-Dimensional Reaction-Diffusion Model with the Short-Wave Instability Journal of Physical Chemistry A. 103: 38-45. DOI: 10.1021/Jp982771J  0.365
1999 Muñuzuri AP, Dolnik M, Zhabotinsky aAM, Epstein IR. Control Of The Chlorine Dioxide-Iodine-Malonic Acid Oscillating Reaction By Illumination Journal of the American Chemical Society. 121: 8065-8069. DOI: 10.1021/Ja9910457  0.364
1998 Orbán M, Kurin-Csörgei †K, Zhabotinsky aAM, Epstein IR. New indicators for visualizing pattern formation in uncatalyzed bromate oscillatory systems Journal of the American Chemical Society. 120: 1146-1150. DOI: 10.1021/Ja972986R  0.342
1998 Kurin-Csörgei K, Orbán M, Zhabotinsky AM, Epstein IR. On the nature of patterns arising during polymerization of acrylamide in the presence of the methylene blue-sulfide-oxygen oscillating reaction Chemical Physics Letters. 295: 70-74. DOI: 10.1016/S0009-2614(98)00942-7  0.349
1997 Rovinsky AB, Zhabotinsky AM, Epstein IR. Target patterns arising from the short-wave instability in near-critical regimes of reaction-diffusion systems Physical Review E. 56: 2412-2417. DOI: 10.1103/Physreve.56.2412  0.368
1997 Kurin-Csörgei K, Zhabotinsky AM, Orbán M, Epstein IR. Photosensitive, Bubble-free, Bromate−1,4-Cyclohexanedione Oscillating Reactions. Illumination Control of Pattern Formation Journal of Physical Chemistry A. 101: 6827-6829. DOI: 10.1021/Jp970763H  0.413
1997 Dolnik M, Banks aAS, Epstein IR. Oscillatory Chemical Reaction in a CSTR with Feedback Control of Flow Rate Journal of Physical Chemistry A. 101: 5148-5154. DOI: 10.1021/Jp970728A  0.329
1996 Dolnik M, Epstein IR. Coupled chaotic chemical oscillators. Physical Review E. 54: 3361-3368. PMID 9965481 DOI: 10.1103/Physreve.54.3361  0.324
1996 Dolnik M, Zhabotinsky AM, Epstein IR. Modulated and alternating waves in a reaction-diffusion model with wave instability Journal of the Chemical Society, Faraday Transactions. 92: 2919-2925. DOI: 10.1039/Ft9969202919  0.349
1996 Kurin-Csörgei K, Orbán M, Rábai G, Epstein IR. Model for the oscillatory reaction between hydrogen peroxide and thiosulfate catalysed by copper(II) ions Journal of the Chemical Society, Faraday Transactions. 92: 2851-2855. DOI: 10.1039/Ft9969202851  0.346
1996 Epstein IR, Showalter K. Nonlinear Chemical Dynamics: Oscillations, Patterns, and Chaos The Journal of Physical Chemistry. 100: 13132-13147. DOI: 10.1021/Jp953547M  0.384
1996 Kurin-Csörgei K, Zhabotinsky AM, Orbán M, Epstein IR. Bromate−1,4-Cyclohexanedione−Ferroin Gas-Free Oscillating Reaction. 1. Basic Features and Crossing Wave Patterns in a Reaction−Diffusion System without Gel The Journal of Physical Chemistry. 100: 5393-5397. DOI: 10.1021/Jp953356J  0.393
1996 Dolnik M, Zhabotinsky aAM, Epstein IR. Modulated Standing Waves In A Short Reaction : Diffusion System The Journal of Physical Chemistry. 100: 6604-6607. DOI: 10.1021/Jp9532982  0.328
1996 Lengyel I, Li J, Kustin K, Epstein IR. Rate constants for reactions between iodine- and chlorine-containing species: A detailed mechanism of the chlorine dioxide/chlorite-iodide reaction Journal of the American Chemical Society. 118: 3708-3719. DOI: 10.1021/Ja953938E  0.35
1995 Bugrim AE, Zhabotinsky AM, Epstein IR. Interference of crossing trigger waves in multilayer reaction-diffusion systems. Physical Review Letters. 75: 1206-1209. PMID 10060232 DOI: 10.1103/Physrevlett.75.1206  0.355
1995 Epstein IR. The consequences of imperfect mixing in autocatalytic chemical and biological systems Nature. 374: 321-327. PMID 7885470 DOI: 10.1038/374321A0  0.309
1995 Zhabotinsky AM, Dolnik M, Epstein IR. Pattern formation arising from wave instability in a simple reaction‐diffusion system Journal of Chemical Physics. 103: 10306-10314. DOI: 10.1063/1.469932  0.339
1995 Bugrim AE, Zhabotinsky AM, Epstein IR. Mechanism for Spontaneous Formation of Crossing Chemical Waves in a Stratified Reaction-Diffusion System The Journal of Physical Chemistry. 99: 15930-15933. DOI: 10.1021/J100043A035  0.344
1995 Buchholtz F, Dolnik M, Epstein IR. Diffusion-Induced Instabilities near a Canard The Journal of Physical Chemistry. 99: 15093-15101. DOI: 10.1021/J100041A027  0.347
1995 Lengyel I, Gyorgyi L, Epstein IR. Analysis of a Model of Chlorite-Based Chaotic Chemical Oscillators The Journal of Physical Chemistry. 99: 12804-12808. DOI: 10.1021/J100034A019  0.334
1995 Kadar S, Lengyel I, Epstein IR. Modeling Of Transient Turing-Type Patterns In The Closed Chlorine Dioxide-Iodine-Malonic Acid-Starch Reaction System The Journal of Physical Chemistry. 99: 4054-4058. DOI: 10.1021/J100012A028  0.341
1995 Orban M, Epstein IR. A New Bromite Oscillator. Large-Amplitude pH Oscillations in the Bromite-Thiosulfate-Phenol Flow System The Journal of Physical Chemistry. 99: 2358-2362. DOI: 10.1021/J100008A018  0.333
1995 Epstein IR, Lengyel I. Turing structures: progress toward a room temperature, closed system Physica D: Nonlinear Phenomena. 84: 1-11. DOI: 10.1016/0167-2789(95)00003-M  0.386
1994 Hocker CG, Epstein IR, Kustin K, Tornheim K. Glycolytic pH oscillations in a flow reactor. Biophysical Chemistry. 51: 21-35. PMID 8061224 DOI: 10.1016/S0301-4622(94)87005-5  0.304
1994 Eager MD, Santos M, Dolnik M, Zhabotinsky AM, Kustin K, Epstein IR. Dependence of Wave Speed on Acidity and Initial Bromate Concentration in the Belousov- Zhabotinsky Reaction-Diffusion System The Journal of Physical Chemistry. 98: 10750-10755. DOI: 10.1021/J100093A013  0.353
1994 Orban M, Epstein IR. Simple and Complex pH Oscillations and Bistability in the Phenol-Perturbed Bromite-Hydroxylamine Reaction The Journal of Physical Chemistry. 98: 2930-2935. DOI: 10.1021/J100062A032  0.338
1994 Faria RB, Epstein IR, Kustin K. Kinetics of Disproportionation and pKa of Bromous Acid The Journal of Physical Chemistry. 98: 1363-1367. DOI: 10.1021/J100055A051  0.32
1994 Simoyi RH, Epstein IR, Kustin K. Kinetics and mechanism of the oxidation of thiourea by bromate in acidic solution The Journal of Physical Chemistry. 98: 551-557. DOI: 10.1021/J100053A033  0.327
1993 Zhabotinsky AM, Eager MD, Epstein IR. Refraction and reflection of chemical waves. Physical Review Letters. 71: 1526-1529. PMID 10054430 DOI: 10.1103/Physrevlett.71.1526  0.31
1993 Dolnik M, Epstein IR. A coupled chemical burster: The chlorine dioxide-iodide reaction in two flow reactors Journal of Chemical Physics. 98: 1149-1155. DOI: 10.1063/1.465081  0.362
1993 Zhabotinsky AM, Buchholtz F, Kiyatkin AB, Epstein IR. Oscillations and waves in metal-ion-catalyzed bromate oscillating reactions in highly oxidized states The Journal of Physical Chemistry. 97: 7578-7584. DOI: 10.1021/J100131A030  0.389
1993 De Barros Faria R, Lengyel I, Epstein IR, Kustin K. Systematic design of chemical oscillators. 86. Combined mechanism explaining nonlinear dynamics in bromine(III) and bromine(V) oxidations of iodide ion The Journal of Physical Chemistry. 97: 1164-1171. DOI: 10.1021/J100108A011  0.359
1993 Lengyel I, Epstein IR. Turing Structures In Simple Chemical Reactions Accounts of Chemical Research. 26: 235-240. DOI: 10.1021/Ar00029A002  0.32
1992 Lengyel I, Epstein IR. A chemical approach to designing Turing patterns in reaction-diffusion systems. Proceedings of the National Academy of Sciences of the United States of America. 89: 3977-3979. PMID 11607288 DOI: 10.1073/Pnas.89.9.3977  0.374
1992 Lengyel I, Kádár S, Epstein IR. Quasi-two-dimensional Turing patterns in an imposed gradient. Physical Review Letters. 69: 2729-2732. PMID 10046569 DOI: 10.1103/Physrevlett.69.2729  0.319
1992 Dolnik M, Epstein IR. Excitability and bursting in the chlorine dioxide–iodide reaction in a forced open system Journal of Chemical Physics. 97: 3265-3273. DOI: 10.1063/1.463014  0.34
1992 Faria RdB, Epstein IR, Kustin K. Systematic design of chemical oscillators. 81. The bromite-iodide clock reaction Journal of the American Chemical Society. 114: 7164-7171. DOI: 10.1021/Ja00044A032  0.342
1992 Rabai G, Epstein IR. Systematic design of chemical oscillators. 80. pH Oscillations in a semibatch reactor Journal of the American Chemical Society. 114: 1529-1530. DOI: 10.1021/Ja00030A086  0.304
1992 Orban M, Epstein IR. A new type of oxyhalogen oscillator: the bromite-iodide reaction in a continuous flow reactor Journal of the American Chemical Society. 114: 1252-1256. DOI: 10.1021/Ja00030A021  0.331
1992 Lengyel I, Li J, Epstein IR. Systematic design of chemical oscillators. 82. Dynamical study of the chlorine dioxide-iodide open system oscillator The Journal of Physical Chemistry. 96: 7032-7037. DOI: 10.1021/J100196A035  0.328
1992 Faria RdB, Epstein IR, Kustin K. Systematic design of chemical oscillators. Part 84. Determination of the pKa of bromous acid The Journal of Physical Chemistry. 96: 6861-6863. DOI: 10.1021/J100196A003  0.31
1992 Epstein IR, Kustin K, Simoyi RH. Systematic design of chemical oscillators. 70. Kinetics and mechanism of the reaction of bromine with thiocyanate The Journal of Physical Chemistry. 96: 6326-6331. DOI: 10.1021/J100194A043  0.303
1992 Epstein IR, Kustin K, Simoyi RH. Systematic design of chemical oscillators. 78. Kinetics and mechanism of the chlorite-thiourea reaction in acidic medium The Journal of Physical Chemistry. 96: 5852-5856. DOI: 10.1021/J100193A039  0.35
1992 Epstein IR, Lengyel I, Kádár S, Kagan M, Yokoyama M. New systems for pattern formation studies Physica a-Statistical Mechanics and Its Applications. 188: 26-33. DOI: 10.1016/0378-4371(92)90249-P  0.388
1991 Lengyel I, Epstein IR. Modeling of turing structures in the chlorite--iodide--malonic Acid--starch reaction system. Science. 251: 650-652. PMID 17741380 DOI: 10.1126/Science.251.4994.650  0.339
1991 Epstein IR. Spiral waves in chemistry and biology. Science. 252: 67-67. PMID 17739074 DOI: 10.1126/Science.252.5002.67  0.303
1991 Kepler TB, Kagan ML, Epstein IR. Geometric phases in dissipative systems. Chaos (Woodbury, N.Y.). 1: 455-461. PMID 12779941 DOI: 10.1063/1.165855  0.307
1991 Lengyel I, Epstein IR. Diffusion-induced instability in chemically reacting systems: Steady-state multiplicity, oscillation, and chaos. Chaos (Woodbury, N.Y.). 1: 69-76. PMID 12779898 DOI: 10.1063/1.165819  0.34
1991 Epstein IR, Luo Y. Differential delay equations in chemical kinetics. Nonlinear models: The cross‐shaped phase diagram and the Oregonator Journal of Chemical Physics. 95: 244-254. DOI: 10.1063/1.461481  0.321
1991 Olsen RJ, Epstein IR. Bifurcation analysis of chemical reaction mechanisms. I, Steady state bifurcation structure Journal of Chemical Physics. 94: 3083-3095. DOI: 10.1063/1.459831  0.358
1991 Doona CJ, Kustin K, Orban M, Epstein IR. Newly designed permanganate-reductant chemical oscillators Journal of the American Chemical Society. 113: 7484-7489. DOI: 10.1021/Ja00020A005  0.302
1991 Luo Y, Epstein IR. A General Model for pH Oscillators Journal of the American Chemical Society. 113: 1518-1522. DOI: 10.1021/Ja00005A008  0.318
1991 Pojman JA, Epstein IR, Karni Y, Bar-Ziv E. Stochastic coalescence-redispersion model for molecular diffusion and chemical reactions. II, Chemical waves The Journal of Physical Chemistry. 95: 3017-3021. DOI: 10.1021/J100161A015  0.587
1991 Pojman JA, Nagy IP, Epstein IR. Convective effects on chemical waves. 3. Multicomponent convection in the iron(II)-nitric acid system The Journal of Physical Chemistry. 95: 1306-1311. DOI: 10.1021/J100156A050  0.541
1991 Pojman JA, Epstein IR, McManus TJ, Showalter K. Convective effects on chemical waves. 2. Simple convection in the iodate-arsenous acid system The Journal of Physical Chemistry. 95: 1299-1306. DOI: 10.1021/J100156A049  0.561
1991 Simoyi RH, Manyonda M, Masere J, Mtambo M, Ncube I, Patel H, Epstein IR, Kustin K. Systematic design of chemical oscillators. 66. Kinetics and mechanism of the oxidation of thiocyanate by iodate The Journal of Physical Chemistry. 95: 770-774. DOI: 10.1021/J100155A052  0.307
1991 Epstein IR. Nonlinear oscillations in chemical and biological systems Physica D: Nonlinear Phenomena. 51: 152-160. DOI: 10.1016/0167-2789(91)90228-2  0.385
1990 Epstein IR. Differential delay equations in chemical kinetics: Some simple linear model systems Journal of Chemical Physics. 92: 1702-1712. DOI: 10.1063/1.458052  0.301
1990 Lengyel I, Rabai G, Epstein IR. Experimental and modeling study of oscillations in the chlorine dioxide-iodine-malonic acid reaction Journal of the American Chemical Society. 112: 9104-9110. DOI: 10.1021/Ja00181A011  0.36
1990 Lengyel I, Rabai G, Epstein IR. Systematic design of chemical oscillators. Part 65. Batch oscillation in the reaction of chlorine dioxide with iodine and malonic acid Journal of the American Chemical Society. 112: 4606-4607. DOI: 10.1021/Ja00167A103  0.374
1990 Kepper PD, Boissonade J, Epstein IR. Chlorite-iodide reaction: a versatile system for the study of nonlinear dynamic behavior The Journal of Physical Chemistry. 94: 6525-6536. DOI: 10.1021/J100380A004  0.376
1990 Rabai G, Epstein IR. Systematic design of chemical oscillators. 63. Large amplitude pH oscillation in the oxidation of hydroxylamine by iodate in a continuous-flow stirred tank reactor The Journal of Physical Chemistry. 94: 6361-6365. DOI: 10.1021/J100379A038  0.375
1990 Pojman JA, Epstein IR. Convective effects on chemical waves. 1. Mechanisms and stability criteria The Journal of Physical Chemistry. 94: 4966-4972. DOI: 10.1021/J100375A039  0.577
1990 Peintler G, Nagypal I, Epstein IR. Systematic design of chemical oscillators. 60. Kinetics and mechanism of the reaction between chlorite ion and hypochlorous acid The Journal of Physical Chemistry. 94: 2954-2958. DOI: 10.1021/J100370A040  0.347
1990 Sattar S, Epstein IR. Interaction of luminol with the oscillating system hydrogen peroxide-potassium thiocyanate-copper sulfate-sodium hydroxide The Journal of Physical Chemistry. 94: 275-277. DOI: 10.1021/J100364A045  0.319
1990 Epstein IR. Experimental and theoretical studies of coupled chemical oscillators Reaction Kinetics and Catalysis Letters. 42: 241-252. DOI: 10.1007/Bf02065359  0.322
1989 Hocker CG, Epstein IR. Analysis of a four‐variable model of coupled chemical oscillators Journal of Chemical Physics. 90: 3071-3080. DOI: 10.1063/1.455910  0.334
1989 Orban M, Epstein IR. Minimal permanganate oscillator: The guyard reaction in a CSTR Journal of the American Chemical Society. 111: 8543-8544. DOI: 10.1021/Ja00204A051  0.311
1989 Luo Y, Orban M, Kustin K, Epstein IR. Mechanistic study of oscillations and bistability in the Cu(II)-catalyzed reaction between H2O2 and KSCN Journal of the American Chemical Society. 111: 4541-4548. DOI: 10.1021/Ja00195A001  0.3
1989 Rabai G, Kustin K, Epstein IR. A systematically designed pH oscillator: the hydrogen peroxide-sulfite-ferrocyanide reaction in a continuous-flow stirred tank reactor Journal of the American Chemical Society. 111: 3870-3874. DOI: 10.1021/Ja00193A018  0.309
1989 Huskey WP, Epstein IR. Autocatalysis and Apparent Bistability in the Formose Reaction Journal of the American Chemical Society. 111: 3157-3163. DOI: 10.1021/Ja00191A008  0.327
1989 Rabai G, Beck MT, Kustin K, Epstein IR. Sustained and damped pH oscillation in the periodate-thiosulfate reaction in a continuous-flow stirred tank reactor The Journal of Physical Chemistry. 93: 2853-2858. DOI: 10.1021/J100344A030  0.319
1989 Simoyi RH, Epstein IR, Kustin K. Systematic design of chemical oscillators. 49. Kinetics and mechanism of the autoinhibitory iodine-thiocyanate reaction The Journal of Physical Chemistry. 93: 2792-2795. DOI: 10.1021/J100344A019  0.364
1989 Edblom EC, Luo Y, Orban M, Kustin K, Epstein IR. Kinetics and Mechanism of the Oscillatory Bromate-Sulfite-Ferrocyanide Reaction' The Journal of Physical Chemistry. 93: 2722-2727. DOI: 10.1021/J100344A007  0.37
1989 Crowley MF, Epstein IR. Experimental and theoretical studies of a coupled chemical oscillator: Phase death, multistability, and in-phase and out-of-phase entrainment Journal of Physical Chemistry. 93: 2496-2502. DOI: 10.1021/J100343A052  0.319
1989 Simoyi RH, Epstein IR, Kustin K. Systematic design of chemical oscillators. 53. Complex dynamical behavior in the oxidation of thiocyanate by iodate The Journal of Physical Chemistry. 93: 1689-1691. DOI: 10.1021/J100342A005  0.307
1989 Luo Y, Epstein IR. Alternative feddback pathway in the mixed Landolt chemical oscillator The Journal of Physical Chemistry. 93: 1398-1401. DOI: 10.1021/J100341A044  0.385
1988 Nagypál I, Epstein IR. Stochastic behavior and stirring rate effects in the chlorite–iodide reaction Journal of Chemical Physics. 89: 6925-6928. DOI: 10.1063/1.455316  0.352
1988 Citri O, Epstein IR. Systematic design of chemical oscillators. 43. Mechanistic study of a coupled chemical oscillator: the bromate-chlorite-iodide reaction The Journal of Physical Chemistry. 92: 1865-1871. DOI: 10.1021/J100318A034  0.311
1987 Edblom EC, Gyorgyi L, Orban M, Epstein IR. Systematic design of chemical oscillators. 40. A mechanism for dynamical behavior in the Landolt reaction with ferrocyanide Journal of the American Chemical Society. 109: 4876-4880. DOI: 10.1021/Ja00250A020  0.356
1987 Citri O, Epstein IR. Systematic design of chemical oscillators. 42. Dynamic behavior in the chlorite-iodide reaction: a simplified mechanism The Journal of Physical Chemistry. 91: 6034-6040. DOI: 10.1021/J100307A043  0.357
1986 Citri O, Epstein IR. Systematic design of chemical oscillators. Part 33. Mechanism for the oscillatory bromate-iodide reaction. Journal of the American Chemical Society. 108: 357-363. PMID 22175447 DOI: 10.1021/Ja00263A001  0.339
1986 Bazsa G, Epstein IR. Kinetics and mechanism of autocatalytic nitric acid oxidations Comments On Inorganic Chemistry. 5: 57-87. DOI: 10.1080/02603598608072276  0.34
1986 Luo Y, Epstein IR. Stirring and premixing effects in the oscillatory chlorite–iodide reaction Journal of Chemical Physics. 85: 5733-5740. DOI: 10.1063/1.451534  0.352
1986 Nagypal I, Bazsa G, Epstein IR. Gravity-induced anisotropies in chemical waves Journal of the American Chemical Society. 108: 3635-3640. DOI: 10.1021/Ja00273A015  0.365
1986 Edblom EC, Orban M, Epstein IR. A new iodate oscillator: the Landolt reaction with ferrocyanide in a CSTR Journal of the American Chemical Society. 108: 2826-2830. DOI: 10.1021/Ja00271A007  0.359
1986 Simoyi RH, Kepper PD, Epstein IR, Kustin K. Reaction between permanganate ion and hydrogen peroxide: kinetics and mechanism of the initial phase of the reaction Inorganic Chemistry. 25: 538-542. DOI: 10.1021/Ic00224A030  0.315
1986 Masek̵o J, Alamgir M, Epstein IR. Bifurcation analysis of a system of coupled chemical oscillators: Bromate-chlorite-iodine Physica D: Nonlinear Phenomena. 19: 153-161. DOI: 10.1016/0167-2789(86)90060-6  0.341
1986 Edblom EC, Orban M, Epstein IR. Systematic Design of Chemical Oscillators. Part 36. A New lodate Oscillator: The Landolt Reaction with Ferrocyanide in a CSTR. Cheminform. 17. DOI: 10.1002/Chin.198640264  0.367
1986 Nagypal I, Bazsa G, Epstein IR. Gravity-Induced Anisotropies in Chemical Waves. Cheminform. 17. DOI: 10.1002/Chin.198640028  0.306
1986 NAGYPAL I, EPSTEIN IR, KUSTIN K. ChemInform Abstract: Systematic Design of Chemical Oscillators. Part 32. Kinetics and Mechanism of the Reaction Between Thiosulfate and Chlorite Ions at 90 ° C. Chemischer Informationsdienst. 17. DOI: 10.1002/Chin.198629013  0.322
1986 SIMOYI RH, DE KEPPER P, EPSTEIN IR, KUSTIN K. ChemInform Abstract: Systematic Design of Chemical Oscillators. Part 29. Reaction Between Permanganate Ion and Hydrogen Peroxide: Kinetics and Mechanism of the Initial Phase of the Reaction. Chemischer Informationsdienst. 17. DOI: 10.1002/Chin.198623025  0.353
1986 Citri O, Epstein IR. Systematic Design of Chemical Oscillators. Part 33. Mechanism for the Oscillatory Bromate- Iodide Reaction. Cheminform. 17. DOI: 10.1002/Chin.198621021  0.363
1985 Balazs AC, Sanchez IC, Epstein IR, Karasz FE, MacKnight WJ. Effect of sequence distribution on the miscibility of polymer/copolymer blends Macromolecules. 18: 2188-2191. DOI: 10.1021/Ma00153A021  0.437
1985 Orbán M, Epstein IR. A New Halogen-Free Chemical Oscillator: The Reaction between Sulfide Ion and Hydrogen Peroxide in a CSTR' Journal of the American Chemical Society. 107: 2302-2305. DOI: 10.1021/Ja00294A016  0.333
1985 Alamgir M, Epstein IR. Systematic design of chemical oscillators. Part 31. New chlorite oscillators: chlorite-bromide and chlorite-thiocyanate in a CSTR The Journal of Physical Chemistry. 89: 3611-3614. DOI: 10.1021/J100263A009  0.316
1985 Epstein IR, Kustin K. Systematic design of chemical oscillators. Part 27. A mechanism for dynamical behavior in the oscillatory chlorite-iodide reaction The Journal of Physical Chemistry. 89: 2275-2282. DOI: 10.1021/J100257A025  0.347
1985 Bazsa G, Epstein IR. Autocatalysis and bistability in the reaction between nitric acid and thiocyanate International Journal of Chemical Kinetics. 17: 601-612. DOI: 10.1002/Kin.550170606  0.344
1985 Alamgir M, Epstein IR. Complex dynamical behavior in a new chemical oscillator: The chlorite–thiourea reaction in a CSTR International Journal of Chemical Kinetics. 17: 429-439. DOI: 10.1002/Kin.550170409  0.387
1985 Kumpinsky E, Epstein IR, Kepper PD. Model study of synchronization and other phenomena in light perturbation of the Briggs-Rauscher reaction International Journal of Chemical Kinetics. 17: 345-354. DOI: 10.1002/Kin.550170311  0.366
1985 Orban M, Epstein IR. Systematic Design Of Chemical Oscillators. 26. A New Halogen-Free Chemical Oscillator: The Reaction Between Sulfide Ion And Hydrogen Peroxide In A Cstr Cheminform. 16. DOI: 10.1002/Chin.198533026  0.348
1985 Weitz DM, Epstein IR. Spatial Waves In The Reaction Of Chlorite With Iodide Cheminform. 16. DOI: 10.1002/Chin.198505029  0.35
1984 Balazs AC, Epstein IR. Kinetics of irreversible dissociation for proteins bound cooperatively to DNA. Biopolymers. 23: 1249-59. PMID 6466765 DOI: 10.1002/Bip.360230709  0.46
1984 Masel J, ko, Epstein IR. Chemical chaos in the chlorite–thiosulfate reaction Journal of Chemical Physics. 80: 3175-3178. DOI: 10.1063/1.447132  0.345
1984 Maselko J, Epstein IR. Systematic design of chemical oscillators. Part 22. Dynamical behavior of coupled chemical oscillators: chlorite-thiosulfate-iodide-iodine The Journal of Physical Chemistry. 16: 5305-5308. DOI: 10.1021/J150666A039  0.336
1984 Weitz DM, Epstein IR. Spatial waves in the reaction of chlorite with iodide The Journal of Physical Chemistry. 88: 5300-5304. DOI: 10.1021/J150666A038  0.35
1984 Ahlstrom C, Boyd DW, Epstein IR, Kustin K, Romanow JH. Systematic design of chemical oscillators. 18. Reaction between permanganate ion and chlorine(III): kinetics and mechanism of the initial reaction and the dissociation of chlorous acid Inorganic Chemistry. 15: 2185-2188. DOI: 10.1021/Ic00182A040  0.362
1984 Epstein IR, Kustin K. Design of Inorganic Chemical Oscillators Cheminform. 15: 1-33. DOI: 10.1007/Bfb0111653  0.39
1984 Epstein IR. The Search for New Chemical Oscillators Cheminform. 15: 3-18. DOI: 10.1007/978-94-009-7254-4_1  0.358
1983 Balazs AC, Epstein IR. Kinetic model for the interaction of myosin subfragment 1 with regulated actin. Biophysical Journal. 44: 145-51. PMID 6652210 DOI: 10.1016/S0006-3495(83)84286-6  0.455
1983 Epstein IR, Kustin K, Kepper Pd, Orbán M. Oscillating Chemical Reactions. Scientific American. 248: 112-123. DOI: 10.1038/Scientificamerican0383-112  0.379
1983 Alamgir M, Kepper PD, Orban M, Epstein IR. A new type of bromate oscillator: The bromate-iodide reaction in a stirred-flow reactor Journal of the American Chemical Society. 105: 2641-2643. DOI: 10.1021/Ja00347A021  0.327
1983 Alamgir M, Epstein IR. Systematic design of chemical oscillators. 17. Birhythmicity and compound oscillation in coupled chemical oscillators: chlorite-bromate-iodide system Journal of the American Chemical Society. 105: 2500-2502. DOI: 10.1021/Ja00346A080  0.318
1983 Alamgir M, Orban M, Epstein IR. Systematic design of chemical oscillators. Part 16. Inorganic bromate oscillators. Bromate-manganous-reductant The Journal of Physical Chemistry. 87: 3725-3728. DOI: 10.1021/J100242A030  0.323
1983 Orban M, Epstein IR. Systematic design of chemical oscillators. Part 14. Inorganic bromate oscillators. Bromate-chlorite-reductant The Journal of Physical Chemistry. 87: 3212-3219. DOI: 10.1021/J100240A011  0.323
1983 Noyes RM, Epstein IR. Comparative behavior in open and closed systems of a reaction with unique stoichiometry Journal of Physical Chemistry. 87: 2700-2704. DOI: 10.1021/J100238A005  0.31
1983 Epstein IR. Traveling waves in the arsenite-iodate system Journal of Chemical Education. 60: 494. DOI: 10.1021/Ed060P494  0.342
1983 Epstein IR. Oscillations and chaos in chemical systems Physica D: Nonlinear Phenomena. 7: 47-56. DOI: 10.1016/0167-2789(83)90114-8  0.368
1982 Dateo CE, Orbán M, Kepper PD, Epstein IR. Bistability and Oscillations in the Autocatalytic Chlorite-Iodide Reaction in a Stirred-Flow Reactor Journal of the American Chemical Society. 104: 504-509. DOI: 10.1021/Ja00366A021  0.338
1982 Kepper PD, Epstein IR. Mechanistic study of oscillations and bistability in the Briggs-Rauscher reaction Journal of the American Chemical Society. 104: 49-55. DOI: 10.1021/Ja00365A012  0.409
1982 Orban M, Kepper PD, Epstein IR. Systematic design of chemical oscillators. Part 7. An iodine-free chlorite-based oscillator. The chlorite-thiosulfate reaction in a continuous flow stirred tank reactor The Journal of Physical Chemistry. 13: 431-433. DOI: 10.1021/J100393A001  0.357
1982 De Kepper P, Epstein IR, Kustin K, Orban M. Systematic design of chemical oscillators. Part 8. Batch oscillations and spatial wave patterns in chlorite oscillating systems The Journal of Physical Chemistry. 86: 170-171. DOI: 10.1021/J100391A007  0.383
1982 Orban M, Epstein IR. Systematic design of chemical oscillators. Part 13. Complex periodic and aperiodic oscillation in the chlorite-thiosulfate reaction The Journal of Physical Chemistry. 14: 3907-3910. DOI: 10.1021/J100217A003  0.37
1982 Lipscomb WN, Epstein IR. Boron hydride valence structures. A topological approach Inorganic Chemistry. 21: 846. DOI: 10.1021/Ic00132A081  0.399
1982 Dateo CE, Orban M, Kepper PD, Epstein IR. Systematic Design Of Chemical Oscillators. 5. Bistability And Oscillations In N The Autocatalytic Chlorite-Iodide Reaction In A Stirred-Flow Reactor Cheminform. 13. DOI: 10.1002/Chin.198218033  0.345
1981 Orbán M, De Kepper P, Epstein IR, Kustin K. New family of homogeneous chemical oscillators: Chlorite-iodate-substrate Nature. 292: 816-818. DOI: 10.1038/292816A0  0.388
1981 Kepper PD, Epstein IR, Kustin K. Bistability in the oxidation of arsenite by iodate in a stirred flow reactor Journal of the American Chemical Society. 103: 6121-6127. DOI: 10.1021/Ja00410A023  0.384
1981 Kepper PD, Epstein IR, Kustin K. A systematically designed homogeneous oscillating reaction: the arsenite-iodate-chlorite system Journal of the American Chemical Society. 103: 2133-2134. DOI: 10.1021/Ja00398A061  0.353
1981 Gribschaw TA, Showalter K, Banville DL, Epstein IR. Chemical waves in the acidic iodate oxidation of arsenite The Journal of Physical Chemistry. 85: 2152-2155. DOI: 10.1021/J150615A002  0.309
1979 Heilweil EJ, Epstein IR. Chemical oscillation and "chaos" in a single system The Journal of Physical Chemistry. 83: 1359-1361. DOI: 10.1021/J100473A024  0.318
1978 Kaner RJ, Epstein IR. Induction and inhibition of chemical oscillations by iodide ion in the Belousov-Zhabotinskii reaction Journal of the American Chemical Society. 100: 4073-4079. DOI: 10.1021/Ja00481A015  0.332
1975 Epstein IR, Pattison P, Wallbridge MGH, Cooper MJ. Theoretical and experimental Compton profiles of decaborane (14) Journal of the Chemical Society, Chemical Communications. 567-568. DOI: 10.1039/C39750000567  0.476
1973 Epstein IR, Williams BG, Cooper MJ. Studies in molecular Compton scattering. II. The Compton profile of C4H8O2‐dioxane, isobutyric, and n‐butyric acids Journal of Chemical Physics. 58: 4098-4103. DOI: 10.1063/1.1678968  0.48
1973 Epstein IR, Marynick DS, Lipscomb WN. Localized molecular orbitals for 1,2- and 1,6-dicarbahexaborane(6). Open three-center bond and implications for carborane topology Journal of the American Chemical Society. 95: 1760-1766. DOI: 10.1021/Ja00787A011  0.406
1973 Hall JH, Epstein IR, Lipscomb WN. Optimized self-consistent-field and localized molecular orbital studies of tetraborane (4) Inorganic Chemistry. 12: 915-920. DOI: 10.1021/Ic50122A043  0.598
1973 Epstein IR, Williams BG, Cooper MJ. Studies In Molecular Compton Scattering Part 2, The Compton Profile Of C4H8O2 (Dioxane, Isobutyric, And N‐Butyric Acids) Cheminform. 4. DOI: 10.1002/Chin.197334088  0.469
1973 Hall JH, Epstein IR, Lipscomb WN. Optimalisierte Scf- Und Lokalisierte Molekuelorbital-Untersuchungen Von Tetraboran(4) Cheminform. 4. DOI: 10.1002/Chin.197323003  0.573
1973 Epstein IR, Marynick DS, Lipscomb WN. Lokalisierte Mo-Berechnung Fuer Die 1,2- Und 1,6-Isomeren Von Dicarbahexaboran(6), Offene Dreizentrenbindung Und Anwendung In Der Carboran-Topologie Cheminform. 4. DOI: 10.1002/Chin.197321370  0.385
1971 Epstein IR, Tossell JA, Switkes E, Stevens RM, Lipscomb WN. Hexaborane(10). Self-consistent field wave function, localized orbitals, and relationships to chemical properties Inorganic Chemistry. 10: 171-181. DOI: 10.1021/Ic50095A032  0.681
1971 EPSTEIN IR, KOETZLE TF, STEVENS RM, LIPSCOMB WN. ChemInform Abstract: SCF-WELLENFUNKTIONEN FUER 1,2-B4C2H6 UND 1,6-B4C2H6 Chemischer Informationsdienst. Organische Chemie. 2: no-no. DOI: 10.1002/Chin.197107005  0.391
1970 Epstein IR, Lipscomb WN. Molecular Momentum Distributions and Compton Profiles. I. General Theory and Boron Hydrides Journal of Chemical Physics. 53: 4418-4424. DOI: 10.1063/1.1673967  0.424
1970 Lipscomb WN, Epstein IR, Koetzle TF, Stevens RM. Self-consistent-field wave functions for 1,2-B4C2H6 and 1,6-B4C2H6 Journal of the American Chemical Society. 92: 7019-7024. DOI: 10.1021/Ja00727A002  0.454
1970 Epstein IR, Lipscomb WN. Comments on the barrier to internal rotation in ethane Journal of the American Chemical Society. 92: 6094-6095. DOI: 10.1021/Ja00723A065  0.388
1970 Switkes E, Epstein IR, Tossell JA, Stevens RM, Lipscomb WN. Studies of polyatomic molecules using self-consistent-field wave functions. B4H10, B5H9+ and B5H11 Journal of the American Chemical Society. 92: 3837-3846. DOI: 10.1021/Ja00716A001  0.456
1970 Epstein IR, Lipscomb WN. Time-dependent coupled Hartree-Fock calculation of some optical properties of H2 Chemical Physics Letters. 4: 479-481. DOI: 10.1016/0009-2614(70)85020-5  0.449
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