Event Abstract Back to Event Mathematical modeling of the Drosophila neuromuscular junction Markus Knodel1*, Daniel Bucher2, Christoph Schuster2 and Gabriel Wittum1 1 Frankfurt University , Germany 2 BGCN Heidelberg, Germany An important challenge in neuroscience today is understanding how networks of neurons go about processing information. Synapses are known to be important for this process however quantitative and mathematical models of the underlying physiologic processes which occur at synaptic active zones is lacking. To counteract this problem, we are developing mathematical models of synaptic vesicle dynamics at a well characterized model synapse, the Drosophila larval neuromuscular junction. This synapses simplicity, accessibility to various electrophysiological recording and imaging techniques, and the genetic malleability which is intrinsic to the Drosophila system make it ideal for computational and mathematical studies. We have employed a reductionist approach and started by modeling single presynaptic boutons. Synaptic vesicles can be divided into different "pools" however a quantitative understanding of their dynamics at the Drosophila neuromuscular junction is lacking. We performed biologically realistic simulations of two bouton types characterized by partial differential equations - PDEs - taking into account not only the evolution in time but moreover also the spatial structure of two dimensions (the extension to the full three dimensions will be implemented soon). These PDEs are solved using UG. UG is a program library for the calculation of multi-dimensional PDEs which are solved using a finite volume approach and implicit time stepping methods leading to extended linear equation systems which can be solved by using multi grid methods. Numerical calculations are done on multi-processor computers allowing for fast calculations using different parameters in order to asses the biological feasibility of different models. In preliminary simulations, we modeled vesicle dynamics as a diffusion process describing exocytosis as Neumann streams at synaptic active zones. The results obtained with these models are consistent with experimental results however this should be regarded as a work in progress. Further refinements will be implemented such as models of glutamate diffusion and clearance from the synaptic cleft, post synaptic receptor kinetics, and physiologically realistic whole neuromuscular junction simulations. Conference: Bernstein Symposium 2008, Munich, Germany, 8 Oct - 10 Oct, 2008. Presentation Type: Poster Presentation Topic: All Abstracts Citation: Knodel M, Bucher D, Schuster C and Wittum G (2008). Mathematical modeling of the Drosophila neuromuscular junction. Front. Comput. Neurosci. Conference Abstract: Bernstein Symposium 2008. doi: 10.3389/conf.neuro.10.2008.01.074 Copyright: The abstracts in this collection have not been subject to any Frontiers peer review or checks, and are not endorsed by Frontiers. They are made available through the Frontiers publishing platform as a service to conference organizers and presenters. The copyright in the individual abstracts is owned by the author of each abstract or his/her employer unless otherwise stated. Each abstract, as well as the collection of abstracts, are published under a Creative Commons CC-BY 4.0 (attribution) licence (https://creativecommons.org/licenses/by/4.0/) and may thus be reproduced, translated, adapted and be the subject of derivative works provided the authors and Frontiers are attributed. For Frontiers’ terms and conditions please see https://www.frontiersin.org/legal/terms-and-conditions. Received: 17 Nov 2008; Published Online: 17 Nov 2008. * Correspondence: Markus Knodel, Frankfurt University, Frankfurt, Germany, Markus.Knodel@iwr.uni-heidelberg.de Login Required This action requires you to be registered with Frontiers and logged in. To register or login click here. Abstract Info Abstract The Authors in Frontiers Markus Knodel Daniel Bucher Christoph Schuster Gabriel Wittum Google Markus Knodel Daniel Bucher Christoph Schuster Gabriel Wittum Google Scholar Markus Knodel Daniel Bucher Christoph Schuster Gabriel Wittum PubMed Markus Knodel Daniel Bucher Christoph Schuster Gabriel Wittum Related Article in Frontiers Google Scholar PubMed Abstract Close Back to top Javascript is disabled. Please enable Javascript in your browser settings in order to see all the content on this page.
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