Abstract
In this paper the model of a signal transmission in a synapse of the neuron is studied. The model is based on partial differential equations. The three-dimensional simulations based on the model are presented and discussed in details. The simulations enabled to estimate the value of the coefficient of diffusion transmission of neurotransmitters in the presynaptic bouton.
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Aristizabal, F., Glavinovic, M.I.: Simulation and parameter estimation of dynamics of synaptic depression. Biol. Cybern. 90, 3–18 (2004)
Bielecki, A.: A model of human activity automatization as a basis of artificial intelligence systems. IEEE Trans. Auton. Ment. Dev. 6, 169–182 (2014)
Bielecki, A., Bielecka, M., Bielecki, P.: Conditioned anxiety mechanism as a basis for a procedure of control module of an autonomous robot. Lect. Notes Artif. Intell. 10246, 390–398 (2017)
Bielecki, A., Kalita, P.: Model of neurotransmitter fast transport in axon terminal of presynaptic neuron. J. Math. Biol. 56, 559–576 (2008)
Bielecki, A., Kalita, P.: Dynamical properties of the reaction-diffusion type model of fast synaptic transport. J. Math. Anal. Appl. 393, 329–340 (2012)
Bielecki, A., Kalita, P., Lewandowski, M., Siwek, B.: Numerical simulation for a neurotransmitter transport model in the axon terminal of a presynaptic neuron. Biol. Cybern. 102, 489–502 (2010)
Bielecki, A., Kalita, P., Lewandowski, M., Skomorowski, M.: Compartment model of neuropeptide synaptic transport with impulse control. Biol. Cybern. 99, 443–458 (2008)
Bui, L., Glavinovic, M.: Temperature dependence of vesicular dynamics at excitatory synapses of rat hippocampus. Cogn. Neurodyn. 8, 277–286 (2014)
Denker, A., Rizzoli, S.O.: Synaptic vesicle pools: an update. Front. Synaptic Neurosci. 2, 135 (2010)
Joensuu, M., Padmanabhan, P., Durisic, N., Adekunle, T.D., Bademosi Cooper-Williams, E., Morrow, I.C., Harper, C.B., Jung, W., Parton, R.G., Goodhill, G.J., Papadopulos, A., Meunier, F.A.: Subdiffractional tracking of internalized molecules reveals heterogeneous motion states of synaptic vesicles. J. Cell Biol. 215, 277–292 (2016)
Knödel, M.M., Geiger, R., Ge, L., Bucher, D., Grillo, A., Wittum, G., Schuster, C., Queisser, G.: Synaptic bouton properties are tuned to best fit the prevailing firing pattern. Front. Comput. Neurosci. 8, 101 (2014)
Rizzoli, S.O., Betz, W.J.: Synaptic vesicle pools. Nat. Rev. Neurosci. 6, 57–60 (2005)
Tadeusiewicz, R.: New trends in neurocybernetics. Comput. Methods Mater. Sci. 10, 1–7 (2010)
von Gersdorff, H., Matthews, G.: Inhibition of endocytosis by elevated internal calcium in a synaptic terminal. Nature 370, 652–655 (1994)
Wang, Y., Manis, P.B.: Short-term synaptic depression and recovery at the mature mammalian endbulb of held synapse in mice. J. Neurophysiol. 100(3), 1255–1264 (2008)
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Bielecki, A., Gierdziewicz, M., Kalita, P. (2018). Three-Dimensional Model of Signal Processing in the Presynaptic Bouton of the Neuron. In: Rutkowski, L., Scherer, R., Korytkowski, M., Pedrycz, W., Tadeusiewicz, R., Zurada, J. (eds) Artificial Intelligence and Soft Computing. ICAISC 2018. Lecture Notes in Computer Science(), vol 10841. Springer, Cham. https://doi.org/10.1007/978-3-319-91253-0_1
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