ArticleBiological cybernetics1995
Bistability in cerebellar Purkinje cell dendrites modelled with high-threshold calcium and delayed-rectifier potassium channels.
Article in Biological cybernetics, 1995. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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Who cites it
10 citing papers in PubMed, 101 citations in OpenAlex.
- Inward rectifier potassium channels interact with calcium channels to promote robust and physiological bistability.PLoS computational biology · 2026Article
- Purkinje cell models: past, present and future.Frontiers in computational neuroscience · 2024Review
- Is Purkinje Neuron Hyperpolarisation Important for Cerebellar Synaptic Plasticity? A Retrospective and Prospective Analysis.Cerebellum (London, England) · 2020Review
- The 40-year history of modeling active dendrites in cerebellar Purkinje cells: emergence of the first single cell "community model".Frontiers in computational neuroscience · 2015Review
- Spontaneous calcium waves in Bergman glia increase with age and hypoxia and may reduce tissue oxygen.Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism · 2013Article
- Dendritic signals command firing dynamics in a mathematical model of cerebellar Purkinje cells.Biophysical journal · 2010Article
- Slow state transitions of sustained neural oscillations by activity-dependent modulation of intrinsic excitability.The Journal of neuroscience : the official journal of the Society for Neuroscience · 2006Article
- Membrane potential bistability is controlled by the hyperpolarization-activated current I(H) in rat cerebellar Purkinje neurons in vitro.The Journal of physiology · 2002Article
- Membrane bistability in olfactory bulb mitral cells.The Journal of neuroscience : the official journal of the Society for Neuroscience · 2001Article
- Modulatory effects of parallel fiber and molecular layer interneuron synaptic activity on purkinje cell responses to ascending segment input: a modeling study.Journal of computational neuroscienceArticle
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3 authors at 2 institutions in 1 country.
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Abstract
Phase-plane analysis of the ionic currents underlying dendritic plateau potentials was carried out to study the nonlinear dynamics and steady-state transfer properties of the dendritic tree in cerebellar Purkinje cells. The results of an analysis of the P-type calcium and delayed rectifier potassium channel system are presented in this study. These channels constitute a simple system that can support bistability and plateau potentials. By requiring both the steady-state current-voltage curve and nullclines to mimic basic plateau potential properties, we obtained well-defined ranges of specific conductance that can support bistability. Hysteresis was found to be surprisingly prevalent in this simple ion-channel system. Using the steady-state current voltage relationship, we derive concise, algebraic expressions for the voltage and current thresholds of state transitions as functions of specific conductance. The significance of bistability in this ion-channel system is discussed with respect to the generation of plateau potentials in Purkinje cells dendrites and the role of the cerebellum in motor control.
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