Rate-Limiting Recovery Processes in Neurotransmission Under Sustained Stimulation

Ernst, Ariane; Unger, Nathalie; Schütte, Christof; Walter, Alexander; Winkelmann, Stefanie

doi:10.2139/ssrn.4342050

Cited by 1 publication

(3 citation statements)

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“…Both 𝜅 𝑢 (𝑡) and 𝜅 𝐹 (𝑡) are weighted averages of the unpriming and fusion rates from the full model, see Equation (4). the analysis of other known synaptic processes such as vesicle trafficking or recycling [11]. However, increasingly complex systems also become more computationally expensive to simulate and suffer from higher-dimensional parameter spaces in optimization.…”

Section: F I G U R Ementioning

confidence: 99%

“…Consequently, Equation (11) holds over the entire domain of Ca 2+ -concentrations, which suggests that the unpriming rate 𝑘 𝑢 (𝑐 may also be used for the reduced model.…”

Section: Reaction Rates In the Reduced Modelmentioning

confidence: 99%

“…In studying neurotransmission, the need for extensions of the model shown in Figure 1 may arise, for example, for the investigation of unexplained synaptic plasticity effects (as was the case previously with the unpriming mechanism) or for the analysis of other known synaptic processes such as vesicle trafficking or recycling [11]. However, increasingly complex systems also become more computationally expensive to simulate and suffer from higher‐dimensional parameter spaces in optimization.…”

Section: Introductionmentioning

confidence: 99%

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Model reduction for ‐induced vesicle fusion dynamics

Ernst,

Falkenhagen,

Winkelmann

2023

Proc Appl Math and Mech

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In this work, we adapt an established model for the ‐induced fusion dynamics of synaptic vesicles and employ a lumping method to reduce its complexity. In the reduced system, sequential ‐binding steps are merged to a single releasable state, while keeping the important dependence of the reaction rates on the local concentration. We examine the feasibility of this model reduction for a representative stimulus train over the physiologically relevant site‐channel distances. Our findings show that the approximation error is generally small and exhibits an interesting nonlinear and non‐monotonic behavior where it vanishes for very low distances and is insignificant at intermediary distances. Furthermore, we give expressions for the reduced model's reaction rates and suggest that our approach may be used to directly compute effective fusion rates for assessing the validity of a fusion model, thereby circumventing expensive simulations.

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Section: F I G U R Ementioning

confidence: 99%

“…Consequently, Equation (11) holds over the entire domain of Ca 2+ -concentrations, which suggests that the unpriming rate 𝑘 𝑢 (𝑐 may also be used for the reduced model.…”

Section: Reaction Rates In the Reduced Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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