- Poster presentation
- Open Access
Multicompartment leaky integrate and fire neuron modeling with multiexponentials
© McTavish et al; licensee BioMed Central Ltd. 2009
- Published: 13 July 2009
- Olfactory Bulb
- Biophysical Cell
- Mitral Cell
- Biophysical Model
- Synaptic Event
Dendritic processing is paramount in the mammalian olfactory bulb where mitral cells modulate each other via granule cell interneurons that synapse on the mitral cells' lateral dendrites. This motivated us to construct computationally lean multicompartment leaky integrate and fire (LIF) neurons such that each compartment's membrane potential is described by six exponentials. This enables the model to avoid differential equations and calculate the membrane potential only upon receiving synaptic events and, like the LIF point neuron, employs simple rules for propagating and attenuating dendritic action potentials.
We first demonstrate the application of a multiexponential fitting algorithm  by casting the passive infinite cable response to a delta function at various normalized distances as a sum of six exponential functions. Because the multi-exponential fit is so accurate (see Figure 1 for normalized distances of X = 1 and X = 3), we, in turn, account for branching, tapering, and reflections in finite cables by employing a variant of the method proposed by Abbott , using our six exponentials as our "Green's function". Multicompartment cells built with these exponentials then process new events simply by updating the magnitudes of a compartment's six exponential functions.
Supported by NIH-NLM grant T5 LM009451-01 and NIH-NIDCD grant F31 DC009369-01A1.
- Malachowski GC, Clegg RM, Redford GI: Analytic solutions to modelling exponential and harmonic functions using Chebyshev polynomials: fitting frequency-domain lifetime images with photobleaching. Journal of Microscopy. 2007, 228: 282-295. 10.1111/j.1365-2818.2007.01846.x.PubMedView ArticleGoogle Scholar
- Abbott LF: Simple diagrammatic rules for solving dendritic cable problems. Physica. 1992, A185: 343-356.View ArticleGoogle Scholar
- Bhalla US, Bower JM: Exploring parameter space in detailed single neuron models: simulations of the mitral and granule cells of the olfactory bulb. J Neurophysiology. 1993, 69: 1948-1965.Google Scholar
- Hines ML, Carnevale NT: The NEURON Simulation Environment. Neural Comp. 1997, 9: 1179-1209. 10.1162/neco.19220.127.116.119.View ArticleGoogle Scholar
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