Bursting in 2-compartment neurons: A case study of the Pinsky-Rinzel model

Amitabha Bose; Victoria Booth

doi:10.1142/9789812703231_0005

Bursting in 2-compartment neurons: A case study of the Pinsky-Rinzel model

Amitabha Bose, Victoria Booth

Mathematical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Chapter

7 Scopus citations

Abstract

The two-compartment Pinsky-Rinzel model of a hippocampal CA3 pyramidal neuron consists of electrically coupled soma and dendritic compartments, each with active ionic conductances. This model has been widely used in a variety of contexts, but little analysis has been performedon its bursting solutions. In this chapter, we provide a geometric framework to study the Pinsky-Rinzel model. Using a combination of analysis and simulations, we identify neuronal mechanisms responsible for certain salient features of the model such as burst initiation and somatic-dendritic ping-pong. Some of these mechanisms are then demonstrated in a conceptually simpler, two-compartment Morris-Lecar model.

Original language	English (US)
Title of host publication	Bursting
Subtitle of host publication	The Genesis of Rhythm in the Nervous System
Publisher	World Scientific Publishing Co.
Pages	123-144
Number of pages	22
ISBN (Electronic)	9789812703231
ISBN (Print)	981256506X, 9789812565068
DOIs	https://doi.org/10.1142/9789812703231_0005
State	Published - Jan 1 2005

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General Medicine

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10.1142/9789812703231_0005

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abstract = "The two-compartment Pinsky-Rinzel model of a hippocampal CA3 pyramidal neuron consists of electrically coupled soma and dendritic compartments, each with active ionic conductances. This model has been widely used in a variety of contexts, but little analysis has been performedon its bursting solutions. In this chapter, we provide a geometric framework to study the Pinsky-Rinzel model. Using a combination of analysis and simulations, we identify neuronal mechanisms responsible for certain salient features of the model such as burst initiation and somatic-dendritic ping-pong. Some of these mechanisms are then demonstrated in a conceptually simpler, two-compartment Morris-Lecar model.",

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AB - The two-compartment Pinsky-Rinzel model of a hippocampal CA3 pyramidal neuron consists of electrically coupled soma and dendritic compartments, each with active ionic conductances. This model has been widely used in a variety of contexts, but little analysis has been performedon its bursting solutions. In this chapter, we provide a geometric framework to study the Pinsky-Rinzel model. Using a combination of analysis and simulations, we identify neuronal mechanisms responsible for certain salient features of the model such as burst initiation and somatic-dendritic ping-pong. Some of these mechanisms are then demonstrated in a conceptually simpler, two-compartment Morris-Lecar model.

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Bursting in 2-compartment neurons: A case study of the Pinsky-Rinzel model

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