Analysis, Simulation, and Optimization of Stochastic Vesicle Dynamics in Synaptic Transmission

Calvin Zhang, Charles Peskin

Research output: Contribution to journalArticle

Abstract

Synaptic transmission is the mechanism of information transfer from one neuron to another (or from a neuron to a muscle or to an endocrine cell). An important step in this physiological process is the stochastic release of neurotransmitter from vesicles that fuse with the presynaptic membrane and spill their contents into the synaptic cleft. We are concerned here with the formulation, analysis, and simulation of a mathematical model that describes the stochastic docking, undocking, and release of synaptic vesicles and their effect on synaptic signal transmission. The focus of this paper is on the parameter p0, the probability of release for each docked vesicle when an action potential arrives. We study the influence of this parameter on the statistics of the release process and on the theoretical capability of the model synapse in reconstructing various desired outputs based on the timing and amount of neurotransmitter release. This theoretical capability is assessed by formulating and solving an optimal filtering problem. Methods for parameter identification are proposed and applied to simulated data.

Original languageEnglish (US)
JournalCommunications on Pure and Applied Mathematics
DOIs
StatePublished - Jan 1 2019

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Vesicles
Simulation Analysis
Neurons
Optimization
Neuron
Hazardous materials spills
Electric fuses
Optimal Filtering
Muscle
Identification (control systems)
Information Transfer
Docking
Action Potential
Synapse
Cells
Statistics
Parameter Identification
Mathematical models
Membranes
Timing

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Analysis, Simulation, and Optimization of Stochastic Vesicle Dynamics in Synaptic Transmission. / Zhang, Calvin; Peskin, Charles.

In: Communications on Pure and Applied Mathematics, 01.01.2019.

Research output: Contribution to journalArticle

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