Research Articles
· · · · · · · · 2007 · · · · · · · ·
Eric E. Monson, Mauro Maggioni and Anna L. Lin, "Markov modeling of experimental, constrained geometry neuron network dynamics", J. Neural Eng. (submitted).
Bradley Marts, David J.W. Simpson, Aric Hagberg and Anna L. Lin, "Period doubling in a periodically forced Belousov-Zhabotinsky reaction", Phys. Rev. E, 76, 026213 (2007).
Bradley Marts and Anna L. Lin, "Transition from traveling to standing waves in the 4:1 resonant Belousov-Zhabotinsky reaction", Phys. Rev. E (accepted).
· · · · · · · · 2006 · · · · · · · ·
Anne J. Catllá, David G. Schaeffer, Thomas P. Witelski, Eric E. Monson and Anna L. Lin, "On Spiking Models for Synaptic Activity and Impulsive Differential Equations", SIAM Review (accepted).
Bradley Marts, Ehud Meron, Aric Hagberg and Anna L. Lin, "Resonant and Non-Resonant Patterns in Forced Oscillators", Chaos 16 (3), article number 037113 (Sept 2006) .
· · · · · · · · 2005 · · · · · · · ·
Linda B. Smolka, Bradley Marts and Anna L. Lin, "Effect of Inhomogeneities on Spiral Wave Dynamics in the Belousov-Zhabotinsky Reaction", Phys. Rev. E, 72, 056205 (2005). [pdf (283 kb)]
April C. Horton, Bence Rácz, Eric E. Monson, Anna L. Lin, Richard J. Weinberg, and Michael D. Ehlers, "Polarized Secretory Trafficking Directs Cargo for Asymmetric Dendrite Growth and Morphogenesis", Neuron 48 757-771 (8 Dec 2005). [pdf (1.7 Mb)]
Aric Hagberg, Bradley Marts, Anna L. Lin and Ehud Meron, "Bloch-Front Turbulence: Theory and Experiments", Physica A, 365, 88–94 (2005). [pdf (330 kb)]
· · · · · · · · 2004 · · · · · · · ·
Bradley Marts, Aric Hagberg, Ehud Meron and Anna L. Lin, "Bloch-Front Turbulence in a Periodically Forced Belousov-Zhabotinsky Reaction", Phys. Rev. Lett., 93, 108305 (2004). [pdf (260 kb)]
Bradley Marts, Karl Martinez and Anna L. Lin, "Front Dynamics in an Oscillatory Bistable Belousov-Zhabotinsky Chemical Reaction", Phys. Rev. E, 70, 056223 (2004). [pdf (468 kb)]
A. L. Lin, A. Hagberg, E. Meron, H. L. Swinney, "Resonance tongues and patterns in periodically forced reaction-diffusion systems", Phys. Rev. E, 69, 066217 (2004). [pdf (1.4 Mb)]
A. L. Lin, Bernward A. Mann, Gelsy Torres-Oviedo, Bryan Lincoln, Josef Kas, Harry L. Swinney, "Localization and Extinction of Bacterial Populations Under Inhomogeneous Growth Conditions", Biophys. J., 87, 75–80 (2004). [pdf (268 kb)]
· · · · · · · · 2003 · · · · · · · ·
A. L. Lin, "Resonant Chemical Oscillations: Pattern formation in reaction-diffusion systems", Ch. in Modern Challenges in Statistical Mechanics, K. Lindenberg and N. Kenkre, eds., AIP Press (2003). [pdf (1.8 Mb)]
· · · · · · · · 2002 · · · · · · · ·
K. Martinez, A. L. Lin, R. Kharrazian, X. Sailer, H. L. Swinney, "Resonance in Periodically Inhibited Reaction-Diffusion Systems", Physica D, 168-169, 1 (2002). [pdf (208 kb)]
A. Yochelis, A. Hagberg, E. Meron, A. L. Lin, H. L. Swinney, "Development of Labyrinthine Patterns", SIAM J. on Applied Dynamical Systems, 1, 236 (2002). [online]
· · · · · · · · 2001 & earlier · · · · · · · ·
A. L. Lin, M. Bertram, H. L. Swinney, A. Ardelea, A. Hagberg, E. Meron, "Four-phase patterns in forced oscillatory systems: theory vs. experiment", Phys. Rev. E, 62, 3790 (2000). [pdf (606 kb)]
A. L. Lin, M. Bertram, K. Martinez, A. Ardelea, G. F. Carey, H. L. Swinney,"Resonant phase patterns in a reaction-diffusion system", Phys. Rev. Lett. 84, 4240 (2000). [pdf (530 kb)]
A. L. Lin, V. Petrov, H. L. Swinney, A. Ardelea, G. F. Carey, "Resonant pattern formation in a spatially extended chemical system", Ch. in Pattern formation in continuous and coupled systems, M. Golubitzky, D. Luss, S. H. Strogatz, eds., Springer (1999).
A. L. Lin, M. Feldman and R. Kopelman,"Experimental investigation of low dimensional trapping kinetics exhibited by a catalytic reaction in a capillary", J. Phys. Chem. B, 101, 7881 (1997). [pdf (194 kb)]
A. L. Lin, R. Kopelman, and P. Argyrakis,"Comment on: Crossover time of diffusion-limited reactions on tubular lattice", Phys. Rev. E, 56, 6204 (1997). [pdf (45 kb)]
R. Kopelman, A. L. Lin and P. Argyrakis,"Non-classical kinetics and reactant segregation in d-dimensional tubular spaces", Phys. Lett. A, 232, 34 (1997). [pdf (345 kb)]
A. L. Lin, E. Monson, and R. Kopelman, "The anomalous reaction kinetics of an imperfect "Phototrapping" reaction in a capillary", Phys. Rev. E, 56, 1561 (1997). [pdf (113 kb)]
A. Yen, A. L. Lin, Y.-E. L. Koo, B. Vilensky, H. Taitelbaum and R. Kopelman, "Spatio-temporal patterns and non-classical kinetics of competing elementary reactions: chromium complex formation with xylenol orange in a capillary", J. Phys. Chem. A, 101, 2819 (1997). [pdf (220 kb)]
A. L. Lin, R. Kopelman, P. Argyrakis, "Diffusion controlled elementary reactions in tubular confinement: extreme non-classicality and anomalous scaling laws for dimensional crossovers", J. Phys. Chem. A, 101, 802 (1997). [pdf (226 kb)]
R. Kopelman, A. L. Lin,"Experimental investigations of molecular and excitonic elementary reaction kinetics in one-dimension",invited Ch. in Non-equilibrium statistical mechanics in one dimension, V. Privman, ed., Cambridge University Press (1997).
A. L. Lin, R. Kopelman, P. Argyrakis,"Dimensional crossovers and anomalous scaling of single and reacting random walkers in baguette-like lattices: Monte-Carlo simulations of the number of distinct sites visited and of bimolecular A+A and A+B reactions", Phys. Rev. E Rapid Communications, 54, 5893 (1996). [pdf (97 kb)]
H. Taitelbaum, B. Vilensky, A. L. Lin, A. Yen, Y.E. L. Koo, R. Kopelman, "Competing reactions with initially separated components", Phys. Rev. Lett., 77, 1640 (1996). [pdf (123 kb)]
A. L. Lin, R. Kopelman, P. Argyrakis, "Nonclassical kinetics in three dimensions: simulations of elementary A+B and A+A reactions, Phys. Rev. E, 53, 1502 (1996). [pdf (1.4 Mb)]
Proceedings
M. F. Feldman, A. L. Lin and R. Kopelman, "Experimental investigation of the kinetics of a catalytic trapping reaction in confined spaces", Proceedings of the Materials Research Society Symposium, Boston, MA, Dec. 2-6, (1996).
E. Monson, A. L. Lin and R. Kopelman,"The anomalous diffusion-limited reaction kinetics of a phototrapping reaction", Proceedings of the Materials Research Society Symposium, Boston, MA, Dec. 2-6, (1996).
P. Argyrakis, A. L. Lin and R. Kopelman,"Random walks, trapping and reactions in quasi-one dimensional lattices", Proceedings of the Materials Research Society Symposium, Boston, MA, Dec. 2-6, (1996).
A. L. Lin, A. Yen, Y.-E. Lee Koo, B. Vilensky, H. Taitelbaum, and R. Kopelman,"Reaction dynamics and chemical pattern formation in capillary tubes resulting from the competition between two elementary complex formation reactions", Proceedings of the Materials Research Society Symposium, Boston, MA, Dec. 2-6, (1996).
A. Lin, R. Kopelman,"Anomalous kinetics of the trapping reaction in one-dimension under steady state conditions", Proceedings of the Materials Research Society Symposium, Boston, MA, 27-30 Nov., vol. 407, pp. 137-142 (1995).
R. Kopelman, A. Lin,"Non-classical reaction kinetics: experiments", Proceedings of the Materials Research Society Symposium, Boston, MA, 27-30 Nov., vol. 407, pp. 107-117 (1995).
A. Lin , A. Yen, Y.-E. Koo, R. Kopelman,"Experimental study of a reaction-diffusion system in a capillary: complex behavior of a seemingly simple system", Proceedings of the Materials Research Society Symposium, Boston, MA, 28-1 Nov.-Dec., vol. 366, pp. 389-394 (1994).
A. Lin, R. Kopelman,"Monte-Carlo studies of a coupled elementary reaction-diffusion system in one dimension", Proceedings of the Materials Research Society Symposium, Boston, MA, 28-1 Nov.-Dec., vol. 366, pp. 313-318 (1994).