Abstract

Neurotransmitter exocytosis and short-term synaptic plasticity (STSP) regulate large-scale brain electrical activity. This study is the first, to our knowledge, proposing a multiple-time-scale model that bridges between the microscopic and mesoscopic scales. It is parsimonious, yet with enough descriptive power to express, on the one hand, the interactions between the SNARE and Sec1/Munc18 (SM) protein complexes mediating all forms of neurotransmitter release and STSP and, on the other hand, the electrical activity required for neuronal communication. A key finding is the discovery of a mathematical structure, termed activity-induced transcritical canard, which quantifies and explains delayed and irregular exocytosis. This structure also provides a previously unidentified way to understand delayed and irregular processes sensitive to initial conditions across various biology processes.

DOI

10.1073/pnas.1525591113

Publication Date

2016-02-23

Publication Title

Proceedings of the National Academy of Sciences

Volume

113

Issue

8

Publisher

Proceedings of the National Academy of Sciences

ISSN

1091-6490

Embargo Period

2024-11-22

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