Model reduction for ‐induced vesicle fusion dynamics

Author:

Ernst Ariane12ORCID,Falkenhagen Undine34ORCID,Winkelmann Stefanie1

Affiliation:

1. Zuse Institute Berlin Berlin Germany

2. FU Berlin Berlin Germany

3. University of Potsdam Potsdam Germany

4. PharMetrX Berlin Germany

Abstract

AbstractIn 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.

Funder

Deutsche Forschungsgemeinschaft

Berlin Mathematics Research Center MATH+

Publisher

Wiley

Subject

Electrical and Electronic Engineering,Atomic and Molecular Physics, and Optics

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