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  1. No Access

    Protocol

    Modeling Pacemaking, Bursting, and Depolarization Block in Midbrain Dopamine Neurons

    Here we present methodology to simulate the electrical activity of neurons by using a freely available software package to numerically integrate a set of coupled nonlinear equations that describe the equival...

    Christopher Knowlton, Carmen C. Canavier in Dopaminergic System Function and Dysfuncti… (2023)

  2. No Access

    Reference Work Entry In depth

    Pulse-Coupled Oscillators

    Carmen C. Canavier in Encyclopedia of Computational Neuroscience (2022)

  3. No Access

    Reference Work Entry In depth

    Phase Response Curves: Overview

    Carmen C. Canavier in Encyclopedia of Computational Neuroscience (2022)

  4. Article

    Open Access

    A Mathematical Model of a Midbrain Dopamine Neuron Identifies Two Slow Variables Likely Responsible for Bursts Evoked by SK Channel Antagonists and Terminated by Depolarization Block

    Midbrain dopamine neurons exhibit a novel type of bursting that we call “inverted square wave bursting” when exposed to Ca2+-activated small conductance (SK) K+ channel blockers in vitro. This type of bursting ha...

    Na Yu, Carmen C. Canavier in The Journal of Mathematical Neuroscience (JMN) (2015)

  5. No Access

    Reference Work Entry In depth

    Pulse-Coupled Oscillators

    Carmen C. Canavier in Encyclopedia of Computational Neuroscience (2015)

  6. No Access

    Reference Work Entry In depth

    Phase Response Curves: Overview

    Carmen C. Canavier in Encyclopedia of Computational Neuroscience (2015)

  7. Article

    Open Access

    Estimation of artificial neuron parameters that obtain a required distribution of coupled system periods in a hybrid network

    Ryan M Hooper, Ruben A Tikidzhi-Khamburyan, Carmen C Canavier in BMC Neuroscience (2014)

  8. No Access

    Living Reference Work Entry In depth

    Phase Response Curves: Overview

    Carmen C. Canavier in Encyclopedia of Computational Neuroscience

  9. Article

    Open Access

    Perturbations can distinguish underlying dynamics in phase-locked two-neuron networks

    Sharon E Norman, Carmen C Canavier, Robert J Butera in BMC Neuroscience (2013)

  10. Article

    Open Access

    Theta entrainment of gamma modules: effects of heterogeneity and non-stationarity

    Ruben A Tikidji-Hamburyan, Carmen C Canavier in BMC Neuroscience (2012)

  11. Article

    Open Access

    Fixed point topology and robustness to perturbations between pairs of coupled neurons

    Sharon E Norman, Carmen C Canavier, Robert J Butera in BMC Neuroscience (2012)

  12. No Access

    Chapter

    History of the Application of the Phase Resetting Curve to Neurons Coupled in a Pulsatile Manner

    Phase resetting curves (PRCs) keep track of how much an input advances or delays the next spike in an oscillatory neuron depending upon where in the cycle the input is applied. In this chapter, a history of th...

    Carmen C. Canavier, Srisairam Achuthan in Phase Response Curves in Neuroscience (2012)

  13. No Access

    Chapter

    Phase Resetting Curve Analysis of Global Synchrony, the Splay Mode and Clustering in N Neuron all to all Pulse-Coupled Networks

    We use phase resetting curve (PRC) theory to analyze phase-locked patterns in pulse-coupled all to all network of N neurons that receive multiple inputs per cycle. The basic principles are that the phase must be ...

    Srisairam Achuthan, Lakshmi Chandrasekaran in Phase Response Curves in Neuroscience (2012)

  14. No Access

    Article

    Responses of a bursting pacemaker to excitation reveal spatial segregation between bursting and spiking mechanisms

    Central pattern generators (CPGs) frequently include bursting neurons that serve as pacemakers for rhythm generation. Phase resetting curves (PRCs) can provide insight into mechanisms underlying phase locking ...

    Selva K. Maran, Fred H. Sieling, Kavita Demla in Journal of Computational Neuroscience (2011)

  15. No Access

    Article

    Effects of conduction delays on the existence and stability of one to one phase locking between two pulse-coupled oscillators

    Gamma oscillations can synchronize with near zero phase lag over multiple cortical regions and between hemispheres, and between two distal sites in hippocampal slices. How synchronization can take place over l...

    Michael Marmaduke Woodman, Carmen C. Canavier in Journal of Computational Neuroscience (2011)

  16. Article

    Open Access

    Phase locking and resetting in human subthalamic neurons

    Shuoguo Wang, Ted Weyand, Erich Richter, Carmen C Canavier in BMC Neuroscience (2011)

  17. Article

    Open Access

    The role of ERG current in pacemaking and bursting in dopamine neurons

    Marco A Huertas, Huifang Ji, Kristal Tucker, Edwin Levitan in BMC Neuroscience (2011)

  18. No Access

    Article

    Stability of two cluster solutions in pulse coupled networks of neural oscillators

    Phase response curves (PRCs) have been widely used to study synchronization in neural circuits comprised of pacemaking neurons. They describe how the timing of the next spike in a given spontaneously firing ne...

    Lakshmi Chandrasekaran, Srisairam Achuthan in Journal of Computational Neuroscience (2011)

  19. No Access

    Article

    Synaptic and intrinsic determinants of the phase resetting curve for weak coupling

    A phase resetting curve (PRC) keeps track of the extent to which a perturbation at a given phase advances or delays the next spike, and can be used to predict phase locking in networks of oscillators. The PRC ...

    Srisairam Achuthan, Robert J. Butera in Journal of Computational Neuroscience (2011)

  20. Article

    Open Access

    Mutually pulse-coupled neurons that do not synchronize in isolation can synchronize via reciprocal coupling with another neural population

    Lakshmi Chandrasekaran, Srisairam Achuthan, Carmen C Canavier in BMC Neuroscience (2010)

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