Kinetic models for synaptic interactions

Modeling synaptic interactions in network models poses a particular challenge. Not only should such models capture the important physiological properties of synaptic interactions, but they must do so in a computationally efficient manner to facilitate simulations of large networks. In this paper, we review several types of models which address these goals. Synaptic currents are mediated by ion channels activated by neurotransmitter released from presynaptic terminals. Kinetic models are expressive enough to describe the behavior of ion channels underlying synaptic currents. Although full representation of the molecular details of the synapse generally requires highly complex kinetic models, we focus here on simpler kinetic models that are more computationally efficient. We show that these models can capture the time course and dynamics of several types of synaptic responses, allowing them to be useful tools for modeling synaptic interactions in large networks.

[1]  A. Hodgkin,et al.  A quantitative description of membrane current and its application to conduction and excitation in nerve , 1990 .

[2]  B. Sakmann,et al.  Single-Channel Recording , 1995, Springer US.

[3]  Terrence J. Sejnowski,et al.  G-Protein Activation Kinetics And Spill-Over Of Gaba May Account For Differences Between Inhibitory , 1995 .

[4]  Christof Koch,et al.  Methods in Neuronal Modeling (2nd Edition) , 2000 .

[5]  Hillel J. Chiel,et al.  Fast Calculation of Synaptic Conductances , 1993, Neural Computation.

[6]  D. A. Brown G-proteins and potassium currents in neurons. , 1990, Annual review of physiology.

[7]  Terrence J. Sejnowski,et al.  Synthesis of models for excitable membranes, synaptic transmission and neuromodulation using a common kinetic formalism , 1994, Journal of Computational Neuroscience.

[8]  T. Sejnowski,et al.  Ionic mechanisms underlying synchronized oscillations and propagating waves in a model of ferret thalamic slices. , 1996, Journal of neurophysiology.

[9]  J. Cowan,et al.  A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue , 1973, Kybernetik.

[10]  P. Usherwood,et al.  Gating kinetics of the quisqualate-sensitive glutamate receptor of locust muscle studied using agonist concentration jumps and computer simulations. , 1993, Biophysical journal.

[11]  Nicholas T. Carnevale,et al.  The NEURON Simulation Environment , 1997, Neural Computation.

[12]  A. Destexhe Kinetic Models of Synaptic Transmission , 1997 .

[13]  W. Rall Distinguishing theoretical synaptic potentials computed for different soma-dendritic distributions of synaptic input. , 1967, Journal of neurophysiology.

[14]  T. Sejnowski,et al.  Thalamocortical Assemblies: How Ion Channels, Single Neurons and Large-Scale Networks Organize Sleep Oscillations , 2001 .

[15]  I. Mody,et al.  Bridging the cleft at GABA synapses in the brain , 1994, Trends in Neurosciences.

[16]  B. Hille Ionic channels of excitable membranes , 2001 .