2003
DOI: 10.1162/089976603322518768
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Hybrid Integrate-and-Fire Model of a Bursting Neuron

Abstract: We present a reduction of a Hodgkin-Huxley (HH)--style bursting model to a hybridized integrate-and-fire (IF) formalism based on a thorough bifurcation analysis of the neuron's dynamics. The model incorporates HH--style equations to evolve the subthreshold currents and includes IF mechanisms to characterize spike events and mediate interactions between the subthreshold and spiking currents. The hybrid IF model successfully reproduces the dynamic behavior and temporal characteristics of the full model over a wi… Show more

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Cited by 18 publications
(13 citation statements)
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“…Neural circuit components were derived from previously described respiratory network models of discrete “IF” populations after MacGregor (1987) and a “hybrid IF burster” population with Hodgkin–Huxley style equations after Breen et al (2003). These models were developed iteratively with in vivo experiments that both guided model development and tested model predictions, as detailed in Rybak et al (2008) and Poliaček et al (2011).…”
Section: Methodsmentioning
confidence: 99%
“…Neural circuit components were derived from previously described respiratory network models of discrete “IF” populations after MacGregor (1987) and a “hybrid IF burster” population with Hodgkin–Huxley style equations after Breen et al (2003). These models were developed iteratively with in vivo experiments that both guided model development and tested model predictions, as detailed in Rybak et al (2008) and Poliaček et al (2011).…”
Section: Methodsmentioning
confidence: 99%
“…This model used integrate-and-fire descriptions for both the nonpacemaker neurons (10) and I NaP -dependent pre-BötC bursters (25). In contrast to the Rybak et al (285) model, which included only a minimal set of pontine populations that did not interact with each other and had only hypothetical interconnections with the medullary populations, this model explicitly incorporated the types of pontine populations and their interconnections within the pons and with medullary populations that were identified by the analysis of many multielectrode recordings made in a series of coordinated in vivo studies in cats (297).…”
Section: Computational Models Of the Respiratory Cpgmentioning
confidence: 99%
“…The program includes the functionality of the program SYSTM11 [53] used in previous simulations of the respiratory network [37]. The simulated networks include both discrete “integrate and fire” (IF) populations with cell parameters similar to those in SYSTEM 11 and a “hybrid” IF conditional burster” population with parameters based on the model of Breen et al [54]. The latter population uses Hodgkin-Huxley style equations for subthreshold currents.…”
Section: Introductionmentioning
confidence: 99%