2016
DOI: 10.1073/pnas.1525591113
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Time-coded neurotransmitter release at excitatory and inhibitory synapses

Abstract: Communication between neurons at chemical synapses is regulated by hundreds of different proteins that control the release of neurotransmitter that is packaged in vesicles, transported to an active zone, and released when an input spike occurs. Neurotransmitter can also be released asynchronously, that is, after a delay following the spike, or spontaneously in the absence of a stimulus. The mechanisms underlying asynchronous and spontaneous neurotransmitter release remain elusive. Here, we describe a model of … Show more

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Cited by 16 publications
(14 citation statements)
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“…The structure (i.e., fast nullcline) is the bifurcation diagram of the fast subsystem obtained by freezing the dynamics of the slow variable x 1 (by setting ε = 0) and hence considering it as a parameter. In this context, the intersection points between the two horizontal components and the third component of the critical manifold correspond to transcritical bifurcation points (Rodrigues et al, 2016). Therefore, the fast subsystem possesses a hysteresis loop with two stable levels of activity, which in the full system (ε > 0 small) correspond to two metastable states s 1 and s 2 that a given trajectory (black curve) will visit recurrently in alternation.…”
Section: Discussionmentioning
confidence: 99%
“…The structure (i.e., fast nullcline) is the bifurcation diagram of the fast subsystem obtained by freezing the dynamics of the slow variable x 1 (by setting ε = 0) and hence considering it as a parameter. In this context, the intersection points between the two horizontal components and the third component of the critical manifold correspond to transcritical bifurcation points (Rodrigues et al, 2016). Therefore, the fast subsystem possesses a hysteresis loop with two stable levels of activity, which in the full system (ε > 0 small) correspond to two metastable states s 1 and s 2 that a given trajectory (black curve) will visit recurrently in alternation.…”
Section: Discussionmentioning
confidence: 99%
“…τ d ). τ u was tuned over 0–8 ms, a range comparable to the period of neuron oscillations: 5–20 ms 38 (Fig. 1(b) ).…”
Section: Resultsmentioning
confidence: 99%
“…This has potential to unveil topological relationships across multi-omics, other relevant biomarkers and clinical phenotypes. Moreover, based on recent theoretical extensions of TDA, the topological phase transitions (tipping points, also referred to as bifurcations in other contexts (Desroches et al, 2013;Rodrigues et al, 2016)) within the data can potentially be detected (Amorim et al, 2020;Santos et al, 2009;Santos et al, 2014;Santos et al, 2017;Santos et al, 2019); see Fig 5 panel B. We will not delve into the details of the theoretical machinery that enables the extraction these topological phase transitions in complex systems, however, it has some analogy with phase transitions described of strong reduction systems.…”
Section: Topological Data Analysis Of Ageing Datamentioning
confidence: 99%