Horacio Rotstein

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

Lederman, Dylan , & Patel, Raghav, & Itani, Omar , & Rotstein, Horacio (2022). Parameter estimation in the age of degeneracy and unidentifiability. Mathematics, 10, 170.

Pena, Rodrigo, & Rotstein, Horacio (2022). The voltage and spiking responses of subthreshold resonant neurons to structured and fluctuating inputs: emergence and loss of resonance and variability. Biol. Cyb., 116:163-190,

Churki, Alexander, & Kriss, Stephanie , & Uziel, Asher, & Goyal, Ashish, & Rotstein, Horacio, & Dahari, Harel, & Barash, Danny (2021). Machine learning for mathematical models of HCV kinetics. Mathematical Biosciences , 343, 108756.

Reves-Szemere, Juliana , & Rotstein, Horacio, & Ventura, Alejandra (2021). Frequency preference response in covalent modification cycles under substrate sequestration conditions. Nature (npj) Systems Biology and Applications, 7, 32 (article number).

Bel, Andrea, & Cobiaga, Romina, & Reartes, Walter, & Rotstein, Horacio (2021). Periodic solutions in threshold-linear networks and their entrainment. SIAM J Applied Dyn Sys (SIADS), 20, 1177-1208.

Ito, Takuya, & Brincat, Scott, & Siegel, Markus, & Mili, Ravi, & He, Biyu, & Miller, Earl , & Rotstein, Horacio, & Cole, Michael (2020). Task-evoked activity quenches neural correlations and variability in large-scale brain systems. PLoS Computational Biology,

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

Tabak , Esteban , & Rotstein, Horacio (2019). Analysis of spike-driven processes through attributable components . Comm Math Sci, 17, 1177-1192.

Pena, Rodrigo, , & Lima, Vinicius, , & Shimoura, Renan, , & Ceballos, Cesar, , & Rotstein, Horacio, & Roque, Antonio, (2019). Asymmetrical voltage response in resonant neurons shaped by nonlinearities. Chaos, 29, 103135 (article number).

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

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

Bel, Andrea , & Torresi, Ana, & Rotstein, Horacio (2019). Inhibition-based relaxation oscillations emerge in resonator networks. Mathematical Modeling of Natural Phenomena, 14, 405 (article number).

Bel, Andrea, & Rotstein, Horacio (2019). Membrane potential resonance in non-oscillatory neurons interacts with synaptic connectivity to produce network oscillations . Journal of Computational Neuroscience, 46, 169-195.

Leiser, Randolph , & Rotstein, Horacio (2019). Network resonance: impedance interactions via a frequency response alternating map (FRAM). SIAM Journal of Applied Dynamical Systems (SIADS), 18, 769-807.

Tran, Trinh, & Unal, Cagri, & Zaborszky, Laszlo, & Kirkwood, Alfredo, & Rotstein, Horacio, & Golowasch, Jorge (2019). Ionic current correlations are ubiquitous across phyla. Scientific Reports, 9, 1687.

Rotstein, Horacio (2018). Subthreshold amplitude and phase resonance in single neurons: 2D models. Encyclopedia of Computational Neuroscience,

Rotstein, Horacio (2018). Subthreshold antiresonance and antiphasonance in single neurons: 3D models . Encyclopedia of Computational Neuroscience,

Zhou, Julia , & Vo, Theodore, & Rotstein, Horacio, & McCarthy, Michelle , & Kopell, Nancy (2018). M-current expands the range of gamma frequency inputs to which the neuronal target entrains. Journal of Mathematical Neuroscience, 8, 13.

Turnquist, Axel, & Rotstein, Horacio (2018). Quadratization: From conductance-based models to caricature models with parabolic nonlinearities. Encyclopedia of Computational Neuroscience,

Kass, Robert, & Amari, Shun-ichi, & Arai, Kensuke, & Brown, Emery, & Diekman, Casey, & Diesmann, Markus, & Doiron, Brent, & Eden, Uri, & Fairhall, Adrienne, & Fiddyment, Grant, & Fukai, Tomoki, & Grun, Sonja, & Harrison, Matthew, & Helias, Moritz, & Nakahara, Hiroyuki, & Teramae, Jun-nosuke, & Thomas, Peter, & Reimers, Mark, & Rodu, Jordan, & Rotstein, Horacio, & Shea-Brown, Eric, & Shimazaki, Hideaki, & Shinomoto, Shigeru, & Yu, Byron, & Kramer, Mark (2018). Computational neuroscience: mathematical and statistical perspectives. Annual Review of Statistics and its Applications, 5(1), 183-214.

Burke, Dennis, & Rotstein, Horacio, & Álvarez, Verónica (2017). Striatal local circuitry: a new framework for lateral inhibition . Neuron,

Rotstein, Horacio (2017). Spiking resonances in models with the same slow resonant and fast amplifying ionic currents but different subthreshold dynamic properties. Journal of Computational Neuroscience,

Rotstein, Horacio, & Schneider, Elisa , & Szczupak, Lidia (2017). Feedback signal from motoneurons influences a rhythmic pattern generator. The Journal of Neuroscience,

Leiser, Randolph, & Rotstein, Horacio (2017). Emergence of localized patterns in globally coupled networks of relaxation oscillators with heterogeneous connectivity. Physical Review E,

Rotstein, Horacio (2017). Resonance modulation, annihilation and generation of anti-resonance and anti-phasonance in 3D neuronal systems: interplay of resonant and amplifying currents with slow dynamics. Journal of Computational Neuroscience,

Chen, Yinbo, & Li, Xinping, & Rotstein, Horacio, & Nadim, Farzan (2016). Membrane potential resonance frequency directly influences network frequency through gap junctions. Journal of Neurophysiology, 116, 1554-1563.

Fox, David, & Tseng, Hua-an, & Smolinsky, Tomasz, & Rotstein, Horacio, & Nadim, Farzan (2017). Mechanisms of generation of membrane potential resonance in a neuron with multiple resonant ionic currents. PLoS Comp Biology,

Rotstein, Horacio (2017). The shaping of intrinsic membrane potential oscillations: positive/negative feedback, ionic resonance/amplification, nonlinearities and time scales. Journal of Computational Neuroscience,

Rotstein, Horacio, & Olarinre, Motolani, & Golowasch, Jorge (2016). Dynamic compensation mechanism give rise to period and duty cycle level sets in oscillatory neuronal models. Journal of Neurophysiology, Online First,

Espanol, Malena, & Rotstein, Horacio (2015). Complex mixed-mode oscillatory patterns in a periodically forced excitable Oregonator. Chaos, 25, 064601 (18 pages).

Schindewolf, Craig, & Kim, Donwgook, & Bel, Andrea, & Rotstein, Horacio (2015). Complex patterns in networks hyperexcitable neurons with multiple time scales. Theoretical Computer Science C - Natural Computing, focus issue on "Brain and Neural Networks Computing,

Rotstein, Horacio (2015). Cluster-size dynamics: A phenomenological model for the interaction between coagulation and fragmentation. Journal of Chemical Physics, 142, 224101 (11 pages).

Rotstein, Horacio (2015). Subthreshold amplitude and phase resonance in models of quadratic type: nonlinear effects generated by the interplay of resonant and amplifying currents . Journal of Computational Neuroscience, 38, 325 - 354.

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

Rotstein, Horacio, & Nadim, Farzan (2014). Frequency preference in two-dimensional neural models: a linear analysis of the interaction between resonant and amplifying currents. Journal of Computational Neuroscience, 37, 9-28.

Rotstein, Horacio (2014). Frequency preference response to oscillatory inputs in two-dimensional neural models: a geometric approach to subthreshold amplitude and phase resonance. Journal of Mathematical Neuroscience, 4, 1 - 41 (article number 4).

Kaper, Tasso, & Kramer, Mark, & Rotstein, Horacio (2013). Introduction to the focus issue: Rhythms and Dynamic Transitions in Neurological Disease: Modeling, Computation, and Experiment . Chaos , 23, 046001.

Rotstein, Horacio (2013). Preferred frequency responses to oscillatory inputs in an electrochemical cell model: Linear amplitude and phase resonance . Physical Review E, 88, 062913 .

Rotstein, Horacio, & Nadim, Farzan (2013). Neurons and neural networks: Computational models. Encyclopedia of Life Sciences (ohn Wiley \& Sons, Ltd: Chicheste), DOI: 10.1002/9780470015902.a0000089.pub2.

Rotstein, Horacio (2013). Abrupt and gradual transitions between low and hyperexcited firing frequencies in neuronal models with fast synaptic excitation: A comparative study. Chaos,

Stark, Eran, & Eichler, Ronny, & Roux, Lisa , & Fujisawa, Shigeyoshi, & Rotstein, Horacio, & Buzsaki, Gyorgy (2013). Inhibition induced theta resonance in cortical circuits. Neuron, 80, 1263 - 1276.

Rotstein, Horacio, & Nadim, Farzan (2013). Frequency preference in two-dimensional neural models: a linear analysis of the interaction between resonant and amplifying currents. Journal of Computational Neuroscience, Online First, 1 - 20.

Rotstein, Horacio, & Wu, Hui (2012). Swing, release, and escape mechanisms contribute to the generation of phase-locked patterns in a globablly coupled FitzHugh-Nagumo model. Physical Review E, 35.

Rotstein, Horacio, & Wu, Hui (2012). Dynamic mechanisms of generation of oscillatory cluster patterns in a globally coupled chemical system. The Journal of Chemical Physics, 137, 104908 (1-20).

Rotstein, Horacio, & Coombes, Stephen, & Gheorghe, Ana (2012). Canard-like explosion of limit cycles in two-dimensional piecewise-linear models of FitzHugh-Nagumo type. SIAM Journal on Applied Dynamical Systems (SIADS), 11, 135 - 180.

Kispersky, Tilman , & White, John , & Rotstein, Horacio (2010). The Mechanism of abrupt transition from normal to hyperexcitable (epileptic) spiking activity in medial entorhinal cortex layer II stellate cells. PLoS One, 5, e13697 (1-21).

Boubendir, Yassine, & Mendez, Vicenc, & Rotstein, Horacio (2010). Dynamics of one- and two-dimensional fronts in a bistable equation with delayed global coupling: localization and control.. Physical Review E, 82(1539-3755 (Print) - 1550-2376 (Online) ), 036601 (1-20).

Rotstein, Horacio, & Jalics, Jozsi, & Krupa, Martin (2010). Mixed-mode oscillations in a three time scale system of ODEs motivated by a neural model. Dynamical Systems: An International Journal, iFirst, 1-38.

Rotstein, Horacio, & Wechselberger, Martin , & Kopell, Nancy (2008). Canard induced mixed-mode oscillations in a medial entorhinal cortex layer II stellate cell model. SIAM Journal on Applied Dynamical Systems (SIADS), 7, 1582 - 1611.