Construction of a 3D Geometric Model of a Presynaptic Bouton for Use in Modeling of Neurotransmitter Flow

  • Andrzej Bielecki
  • Maciej Gierdziewicz
  • Piotr Kalita
  • Kamil Szostek
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9972)


This paper refers strongly to mathematical modeling of diffusive process in a presynaptic bouton. Creation of a robust three-dimensional model of the bouton geometry is the topic of the paper. Such a model is necessary for partial differential equations that describe the aforementioned flows. The proposed geometric model is based on ultrathin sections obtained by using electron microscopy. The data structure which describes the surface of the whole bouton as well as the surfaces of some internal organelles is created as the result of the modeling procedure.


Presynaptic bouton Partial differential equations model Three-dimensional bouton geometry Finite elements method 



The work of Piotr Kalita has been supported by the National Science Center of Poland under the Maestro Advanced Project No. DEC-2012/06/A/ST1/00262.


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Copyright information

© Springer International Publishing AG 2016

Authors and Affiliations

  • Andrzej Bielecki
    • 1
  • Maciej Gierdziewicz
    • 1
  • Piotr Kalita
    • 2
  • Kamil Szostek
    • 3
  1. 1.Chair of Applied Computer Science, Faculty of Electrical Engineering, Automation, Computer Science and Biomedical EngineeringAGH University of Science and TechnologyKrakówPoland
  2. 2.Chair of Optimization and Control Theory, Faculty of Mathematics and Computer ScienceJagiellonian UniversityKrakówPoland
  3. 3.Chair of Geoinformatics and Applied Computer Science, Faculty of Geology, Geophysics and Environmental ProtectionAGH University of Science and TechnologyKrakówPoland

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