A study on efficiency of 3D partial differential diffusive model of presynaptic processes

• Autorzy: Bielecki Andrzej , Gierdziewicz Maciej , Kalita Piotr

Identyfikatory

DOI

10.1016/j.bbe.2019.02.001

• Języki publikacji: EN

Abstrakty

EN

The verification of efficiency of the diffusive-type model of neurotransmitter transport dynamics inside the presynaptic bouton, including the spatial aspect of the transport, is the main objective of the simulations described in this paper. Finite element and finite difference methods were applied to solve the model numerically. The bouton was represented by a 3D tetrahedral mesh. Some biological parameters have been taken from scientific literature whereas some other remain unknown. Therefore the simulations were performed for various values of the unknown parameters. Such an approach allowed us to assess the proper order of magnitude of those parameters by comparison of the dynamics of the process implied by the model with the observed post-synaptic potentials. The effect of synaptic depression has been captured in the simulations. The presented approach allowed us to verify to what extent the presynaptic transport can be explained by the diffusive mechanism. Furthermore, the sensitivity of the model to release rate and the synthesis rate is considered. Moreover, the algebraic models of the diminishment of released neurotransmitter amounts were proposed and tested, showing a good accuracy. Various geometrical aspects of the dynamics were studied. In particular, the influence of the geometry of the synthesis region was examined. In the paper, the aspects of numerical simulations are studied as well. Namely, the quality of the generated mesh was discussed. The results of the simulations were compared with the results of measurements and observations and will be later contrasted with more complex models.

Słowa kluczowe

EN

3D synapse model; neurotransmitter transport; parabolic-type PDEs; reaction-diffusion equation; finite element method

PL

model synapsy 3D; transporter neuroprzekaźników; równanie reakcji–dyfuzji; metoda elementów skończonych

• Wydawca: Nałęcz Institute of Biocybernetics and Biomedical Engineering of the Polish Academy of Sciences ; Elsevier
• Czasopismo: Biocybernetics and Biomedical Engineering
• Rocznik: 2020
• Tom: Vol. 40, no. 1
• Strony: 100--110
• Opis fizyczny: Bibliogr. 45 poz., rys., tab., wykr.

Twórcy

autor

Bielecki Andrzej

• AGH University of Science and Technology, Faculty of Electrical Engineering, Automation, Computer Science and Biomedical Engineering, Chair of Applied Computer Science, Mickiewicza Ave. 30, 30-059 Cracow, Poland

autor

Gierdziewicz Maciej

• AGH University of Science and Technology, Faculty of Electrical Engineering, Automation, Computer Science and Biomedical Engineering, Chair of Applied Computer Science, Mickiewicza Ave. 30, 30-059 Cracow, Poland

autor

Kalita Piotr

• Jagiellonian University, Faculty of Mathematics and Computer Science, Institue of Computer Science and Computational Mathematics, Lojasiewicza 6, 30-348 Cracow, Poland

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Uwagi

EN

The calculations for this paper were supported by the Academic Computer Center in Cracow under grant ‘‘neuron2018’’.

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).