Publications

Scientific (Peer Reviewed) Journals:

(2023)

A. Amendolara, H. G. Rotstein, E. Fortune LSTM-Based Recurrent Neural Network Provides Effective Short Term Flu Forecasting (2023) BMC Publich Health, 23:1788

E. Lowett, R. A. Mount, U. Chialva, R. F. O. Pena, S. Xiao, S. L. Zhou, D. J. Sheehan, H.-A. Tseng, H. Gritton, S. Shroff, K. Kondabolu, C. Cheung, J. Mertz, M. E. Hasselmo, H. G. Rotstein, X. Han Cellular voltage rhythmicity organizes distinct spiking output modes in the hippocampus (2023) Cell Reports, 42:112906

U. Chialva, V. Gonzalez Bosca, H. G. Rotstein Low-dimensional models of single neurons: A review (2023) Biological Cybernetics, 117: 163 - 183

X. Li, O. Itani, D. Bucher, H. G. Rotstein, F. Nadim Distinct Mechanisms Underlie Electrical Coupling Resonance and Its Interaction with Membrane Potential Resonance (2023) Frontiers in Systems Biology, 3:1122433.

D. Levenstein, V. A. Alvarez, A. Amarasingham, H. Azab, R. C. Gerkin, A. Hasenstaub, R. Iyer, R. Jolivet, S. Marzen, J. D. Monaco, A. A. Prinz, S. Quraishi, F. Santamaria, S. Shivkumar, M. F. Singh, R. Traub, F. Nadim (*) , Horacio G. Rotstein (*), A. D. Redish (*) On the role of theory and modeling in neuroscience (2023) J Neurosci, 43:1074-1088

Y. Mondal, R. F. O. Pena, Horacio G. Rotstein Temporal filters in response to presynaptic spike trains: Interplay of cellular, synaptic and short-term plasticity time scales (2022) J Comp Neurosci, 50:395-429

E. Stark, A. Levi, H. G. Rotstein Neuronal resonance can be generated independently at distinct levels of organization (2022) PLoS Comp Biol, 18:e1010364

E. Khan, S. Saghafi, C. Diekman, H. G. Rotstein The emergence of polyglot entrainment responses to periodic inputs in vicinities of a Hopf bifurcation (2022) Chaos, 32:063137

E. Khan, S. Saghafi, C. Diekman, H. G. Rotstein The emergence of polyglot entrainment responses to periodic inputs in vicinities of a Hopf bifurcation (2022) Chaos, 32:063137

R. F. O. Pena, H. G. Rotstein Oscillations and variability in neuronal systems: Interplay of autonomous transient dynamics and fast deterministic fluctuations (2022) Journal of Computational Neuroscience, 50:331-355

H. G. Rotstein Nonlinearities shape the response patterns to oscillatory inputs in an electrochemical cell model: resonance and more complex patterns (2022) SIAM J. Appl. Dyn. Sys. (SIADS), 21:500-522

R. F. O. Pena, H. G. Rotstein The voltage and spiking responses of subthreshold resonant neurons to structured and fluctuating inputs: emergence and loss of resonance and variability (2022) Biological Cybernetics, 116:163-190

D. Lederman, R. Patel, O. Itani, H. G. Rotstein Parameter estimation in the age of degeneracy and unidentifiability (2022) Mathematics, 10:170

A. Churkin, S. Kriss, A. Uziel, A. Goyal, R. Zakh, S. J. Cotler, O. Etzion, A. Shlomani, H. G. Rotstein, H. Dahari, D. Barash Machine learning for mathematical models of HCV kinetics during antiviral therapy (2021) Mathematical Biosciences, 343:108756

J. Reves-Szemere, H. G. Rotstein, A. Ventura Frequency preference response in covalent modification cycles under substrate sequestration conditions (2021) Nature (npj) Systems Biology and Applications, 7:32

B. Bel, R. Cobiaga, W. Reartes, H. G. Rotstein Periodic solutions in threshold-linear networks and their entrainment (2021) SIAM J. Appl. Dyn. Sys. (SIADS), 20:1177-1208

T. Ito, S. L. Brincat, M. Siegel, R. D. Mil, B. J. He, E. K. Miller, H. G. Rotstein, M. W. Cole Task-evoked activity quenches neural correlations and variability in large-scale brain systems (2020) PLoS Comput. Biol., 16:e1007983

H. G. Rotstein, F. Nadim Neurons and neural networks: Computational models (2020) In: Encyclopedia of Life Sciences. John Wiley \& Sons, Ltd: Chichester

H. G. Rotstein, E. Tabak Analysis of spike-driven processes through attributable components (2019) Comm. Math. Sci., 17, 1177-1192

A. Bel, H. G. Rotstein Resonance-based mechanisms of generation of relaxation oscillations in networks of non-oscillatory neurons (2019) Trends in Mathematics: Research Perspectives (CRM Barcelona, Summer 2018).

R. F. O. Pena, V. Lima, R. O. Shimura, C. C. Ceballos, H. G. Rotstein, A. C. Roque Asymmetrical voltage response in resonant neurons shaped by nonlinearities (2019) Chaos, 29:103135

H. G. Rotstein, F. Nadim Membrane potential resonance arising from responses of neuronal models to oscillatory inputs in current versus voltage clamp (2019) Biological Cybernetics, 113:373–395

A. Bel, A. Torresi, H. G. Rotstein nhibition-based relaxation oscillations emerge in resonator networks (2019) Mathematical Modeling of Natural Phenomena., 14, 405

R. J. Leiser, H. G. Rotstein Network resonance: impedance interactions via a frequency response alternating map (FRAM) (2019) SIAM J. Applied Dynamical Systems, 18:769-807.

A. Bel, H. G. Rotstein Membrane potential resonance in non-oscillatory neurons interacts with synaptic connectivity to produce network oscillations (2019) J. Comp. Neurosci., 46:169-195.

T. Tran, C. T. Unal, L. Zaborskzky, A. Kirkwood, H. G. Rotstein, J. Golowasch Ionic current correlations are ubiquitous: evidence from mammalian neurons (2019) Scientific Reports, 9:1687.

Y. Zhou, T. Vo, H. G. Rotstein, M. M. McCarthy, N. Kopell M-current expands the range of gamma frequency inputs to which the neuronal target entrains (2018) J. Math. Neurosci., 8:13.

H. G. Rotstein Subthreshold amplitude and phase resonance in single neurons: 2D models (2018) Encyclopedia of Computational Neuroscience (D. Jaeger and R. Jung, eds., Springer, New York).

H. G. Rotstein Subthreshold antiresonance and antiphasonance in single neurons: 3D models (2018) Encyclopedia of Computational Neuroscience (D. Jaeger and R. Jung, eds., Springer, New York)

A. G. R. Turnquist, H. G. Rotstein Quadratization: From conductance-based models to caricature models with parabolic nonlinearities (2018) Encyclopedia of Computational Neuroscience (D. Jaeger and R. Jung, eds., Springer, New York).

D. Burke, H. G. Rotstein, V. A. Alvarez Striatal local circuitry: a new framework for lateral inhibition (2017) Neuron, 96:267-284

H. G. Rotstein. Spiking resonances in models with the same slow resonant and fast amplifying ionic currents but different subthreshold dynamic properties (2017) J Comp Neurosci, 43:243-271.

H. G. Rotstein, E. Schneider, L. Szczupak Feedback signal from motoneurons influences a rhythmic pattern generator (2017) J Neurosci, 37:9149-9159.

R. E. Kass, S.-I. Amari, K. Arai, E. N. Brown, C. O. Diekman, M. Diesmann, B. Doiron, U. T. Eden, A. Fairhall, G. M. Fiddyment, T. Fukai, S. Grun, M. Harrison, M. Helias, M. A. Kramer, H. Nakahara, J. Teramae, P. J. Thomas, M. Reimers, J. Rodu, H. G. Rotstein, E. Shea-Brown, H. Shimazaki, S. Shinomoto, B. M. Yu. Computational Neuroscience: Mathematical and Statistical Perspectives (2017) Annu Rev Neurosci, 5:183-214

D. Fox, H.-A Tseng, T. Smolinsky, H. G. Rotstein, F. Nadim. Mechanisms of generation of membrane potential resonance in a neuron with multiple resonant ionic currents (2017) PLoS Comp Bio, 13:e1005565

R. J. Leiser, H. G. Rotstein Emergence of localized patterns in globally coupled networks of relaxation oscillators with heterogeneous connectivity (2017) Phys Rev E, 96:022303

H. G. Rotstein. Resonance modulation, annihilation and generation of anti-resonance and anti-phasonance in 3D neuronal systems: interplay of resonant and amplifying currents with slow dynamics (2017) J Comp Neurosci, 43:35-63

H. G. Rotstein. The shaping of intrinsic membrane potential oscillations: positive/negative feedback, ionic resonance/amplification, nonlinearities and time scales (2017) J Comp Neurosci, 42:133-166

H. G. Rotstein, M. Olarinre, J. Golowasch. Dynamic compensation mechanism give rise to period and duty cycle level sets in oscillatory neuronal models (2016) J Neurophysiol, 116:2431-2452.

Y. Chen, X. Li, H. G. Rotstein, F. Nadim. Membrane potential resonance frequency directly influences network frequency through gap junctions (2016) J Neurophysiol, 116:1554-1563

C. Schindewolf, D. Kim, A. Bel, H. G. Rotstein. Complex patterns in networks of hyperexcitable neurons with multiple time scales (2016). Theoretical Computer Science C, 663:71-82

M. Espanol, H. G. Rotstein Complex mixed-mode oscillatory patterns in a periodically forced excitable Belousov-Zhabotinsky reaction model (2015) Chaos, 25:064601 (1-18)

H. G. Rotstein. Cluster-size dynamics: A phenomenological model for the interaction between coagulation and fragmentation processes (2015). J Chem Phys, 142:224101

H. G. Rotstein. Subthreshold amplitude and phase resonance in models of quadratic type: nonlinear effects generated by the interplay of resonant and amplifying currents (2015). J Comp Neurosci, 38:325-354

H. G. Rotstein. Frequency preference response to oscillatory inputs in two-dimensional neural models: a geometric approach to subthreshold amplitude and phase-resonance (2014). J Math Neurosci, 4:11 (1-41)

H. G. Rotstein, F. Nadim Frequency preference in two-dimensional neural models: a linear analysis of the interaction between resonant and amplifying currents (2014). J Comp Neurosci, 37:9-28

E. Stark, R. Eichler, L. Roux, S. Fujisawa, H. G. Rotstein, G. Buzsaki Inhibition induced theta resonance in cortical circuits (2013). Neuron, 80:1263-1276

H. G. Rotstein Subthreshold amplitude and phase resonance in single cells (2013) Encyclopedia of Computational Neuroscience (Springer, New York)

H. G. Rotstein Mixed-mode oscillations in single neurons (2013) In press: Encyclopedia of Computational Neuroscience (Springer, New York)

H. G. Rotstein Abrupt and gradual transitions between low and hyperexcited firing frequencies in neuronal models with fast synaptic excitation: a comparative study (2013) Chaos, 46:046104

T. J. Kaper, M. A. Kramer, H. G. Rotstein Introduction to Focus Issue: Rhythms and dynamic transitions in neurological disease: modeling, computation, and experiment (2013) Chaos, 46:046001

H. G. Rotstein Preferred frequency responses to oscillatory inputs in an electrochemical cell model: Linear amplitude and phase resonance (2013) Phys Rev E, 88:062913

H. G. Rotstein, F. Nadim. Neurons and neural networks: Computational models. (2013) In: Encyclopedia of Life Sciences. John Wiley \& Sons, Ltd: Chichester http://www.els.net/ [DOI: 10.1002/9780470015902.a0000089.pub3]

H. G. Rotstein, H. Wu Dynamic mechanisms of generation of oscillatory cluster patterns in a globally coupled chemical system (2012) J Chem Phys, 137:104908 CAMS-NJIT Technical Report 1112-10 (full version).

H. G. Rotstein, H. Wu Swing, release, and escape mechanisms contribute to the generation of phase-locked cluster patterns in a globally coupled FitzHugh-Nagumo model (2012) Phys. Rev. E, 86:066207

H. G. Rotstein, S. Coombes, A. M. Gheorghe Canard-like explosion of limit cycles in two-dimensional piecewise-linear models of FitzHugh-Nagumo type (2012) SIAM J Appl Dyn Sys (SIADS), 1:135:180 CAMS-NJIT Technical Report 1112-4 (full version).

T. Kispersky, J. A. White, H. G. Rotstein. The mechanism of abrupt transition between theta and hyper-excitable spiking activity in medial entorhinal cortex layer II stellate cells (2010) PLoS One 5:e13697 Supplementary Material

Y. Boubendir, V. Mendez, H. G. Rotstein. Dynamics of one- and two-dimensional fronts in a bistable equation with delayed feedback: Propagation failure and control mechanisms (2010) Phys. Rev. E., 82:036601 .

J. Jalics, M. Krupa, H. G. Rotstein. Mixed-mode oscillations in a three time-scale system of ODEs motivated by a neuronal model (2010) Dynamical Systems - iFirst 1-38.

H. G. Rotstein, M. Wechselberger, N. Kopell Canard induced mixed-mode oscillations in a medial entorhinal cortex layer II stellate cell model (2008) Siam J. Appl. Dyn. Sys. (SIADS), 7:1582-1611.

M. Brons, T. J. Kaper, H. G. Rotstein Introduction to Focus Issue: Mixed Mode Oscillations: Experiment, Computation, and Analysis (2008) Chaos 18:015101, Focus Issue on Mixed-Mode Oscillations.

M. Krupa, N. Popovic, N. Kopell, H. G. Rotstein Mixed-mode oscillations in a three time-scale model for the dopaminergic neuron (2008) Chaos 18:015106, Focus Issue on Mixed-Mode Oscillations.

H. G. Rotstein, F. Nadim. Neurons and neural networks: Computational models. (2007) In: Encyclopedia of Life Sciences. John Wiley \& Sons, Ltd: Chichester http://www.els.net/ [DOI: 10.1002/9780470015902.a0000089.pub2]

A. B. L. Tort, H. G. Rotsein, T. Dugladze, T. Gloveli, N. Kopell. Formation of gamma coherent cell assemblies by oriens lacunosum-moleculare interneurons in the hippocampus: a modeling study. (2007) PNAS 104:13490-13495. Supplementary material (Table 1), Supplementary material (Table 2).

N. Kopell, D. Pervouchine, H. G. Rotstein, T. Netoff, M. Whittington, T. Gloveli. Multiple rhythms and switches in the nervous system (2006) Proceedings of the Second International Symposium on the Frontier of Applied Mathematics in honor of Prof. C. C. Lin.

H. G. Rotstein, T. Oppermann, J. A. White, N. Kopell. The dynamic structure underlying subthreshold oscillatory activity and the onset of spikes in a model of medial entorhinal cortex stellate cells. (2006) J. Comp. Neurosci., 21:271-292.

D. D. Pervouchine, T. I. Netoff, H. G. Rotstein, J. A. White, M. O. Cunningham, M. A. Whittington, N. Kopell. Low-dimensional maps encoding dynamics in the entorhinal cortex and the hippocampus. (2006) Neural Computation, 18:2617-2650.

H. G. Rotstein, R. Kuske. Localized and asynchronous patterns via canards in coupled calcium oscillators. (2006) Physica D. 215:46-61.

H. G. Rotstein, A. M. Zhabotinsky, I. R. Epstein. Localized structures in a nonlinear wave equation stabilized by negative global feedback: one-dimensional and quasi-two-dimensional kinks (2006) Phys. Rev. E., 74:016612

T. Gloveli, T. Dugladze, H. G. Rotstein, R. D. Traub, H. Monyer, U. Heinemann, M. Whittington, N. Kopell. Orthogonal arrangement of rhythm-generating microcircuits in the hippocampus (2005) PNAS 102:13295-13300. Supplementary material

H. G. Rotstein, D. D. Pervouchine, C. D. Acker, M. J. Gillies, J. A. White, E. H. Buhl, M. A. Whittington, N. Kopell. Slow and fast inhibition and an h-current interact to create a theta rhythm in a model of CA1 interneuron network. (2005) J. Neurophysiol. 94:1509-1518.

R. Clewley, H. G. Rotstein, N. Kopell. A computational tool for the reduction of nonlinear ODE systems possesing multiple scales. (2005) SIAM J. on Multiscale Modeling and Simulations 4:732-759.

H. G. Rotstein, N. Kopell, A. M. Zhabotinsky, I. R. Epstein. Canard phenomenon and localization of oscillations in the Belousov-Zhabotinsky reaction with global feedback. (2003) J. Chem. Phys. 119:8824-8832.

H. G. Rotstein, N. Kopell, A. M. Zhabotinsky, I. R. Epstein. A canard mechanism for localization in systems of globally coupled oscillators. (2003) SIAM J. Appl. Math., 63:1098-2019.

V. Mendez, J. Fort, H. G. Rotstein, S. Fedotov. Speed of reaction-diffusion fronts in spatially heterogeneous media. (2003) Phys. Rev. E. 68:041105.

M. E. Sola, H. G. Rotstein, J. C. Bazan. The Ag/AgI/Graphite solid cell as iodine sensor: speed of response and use of Cs-doped AgI as electrolyte. (2002) J. Solid State Electrochemistry, 6:279-283.

H. G. Rotstein, R. Tannenbaum. Cluster coagulation and growth limited by surface interactions with polymers. (2002) J. Phys. Chem. B, 106:146-151.

H. G. Rotstein, I. Mitkov, A. M. Zhabotinsky, I. R. Epstein. Dynamics of Kinks in One- and Two- Dimensional Hyperbolic Models with Quasi-discrete Nonlinearities. (2001) Phys. Rev. E, 63:066613.

H. G. Rotstein, A. M. Zhabotinsky, I. R. Epstein. Dynamics of one- and two-dimensional kinks in reaction diffusion equations of Allen-Cahn type with a quasi-discrete source of reaction. (2001) Chaos, 11:833-842.

H. G. Rotstein, S. Brandon, A. Novick-Cohen, A. A. Nepomnyashchy. Phase field equations with memory: the hyperbolic case. (2001) SIAM J. Appl. Math, 62:264-282.

M. Grasselli, H. G. Rotstein. Hyperbolic phase-field dynamics with memory. (2001) J.Math. Anal. Appl., 261:205-230.

B. Malomed, H. G. Rotstein. Ramped-induced states in the parametrically driven Ginzburg-Landau model . (2001) Physics Letters A, 283:327-334.

H. G. Rotstein, A. I. Domoshnitsky, A. A. Nepomnyashchy. Front motion for phase transitions in systems wity memory. (2000) Physica D, 146:137-149.

B. Malomed, H. G. Rotstein. A quasicrystallic domain wall in nonlinear dissipative systems. (2000) Physica Scripta, 62:164-168.

H. G. Rotstein, A. A. Nepomnyashchy. Dynamics of kinks in two dimensional hyperbolic models. (2000) Physica D, 136:245-265.

H. G. Rotstein, A. I. Domoshnitsky, A. A. Nepomnyashchy. Phase transition dynamics with memory Functional Differential Equations (1998), 5:439-451.

H. G. Rotstein, A. A. Nepomyashchy, A. Novick-Cohen. Hyperbolic non-conserved phase field equations. (1999) Journal of Crystal Growth, Proceedings of the ICCG12, 198-199:1262-1266.

H. G. Rotstein, S. Brandon, A. Novick-Cohen. Hyperbolic flow by mean curvature. (1999) Journal of Crystal Growth, Proceedings of the ICCG12, 198-199:1256-1261.

H. G. Rotstein, A. Novick-Cohen, R. Tannenbaum. Gelation and cluster growth with cluster-wall interactions (1998) J. Stat. Phys, 90-1/2.