**Research**

Theoretical methods are employed to describe and understand particular processes in neural systems on the level of single cells or populations. The focus is mainly on the neural coding problem, mathematical models of neuronal activity, and biophysical modeling of axon growth and circuit formation. The results are validated by using experimental data and numerical simulations. Information theory, stochastic processes, differential equations and statistics provide the necessary tools.

**We are involved in:**

## Publications

Lee; H. - Košťál; Lubomír - Kanzaki; R. - Kobayashi; R.
*Spike frequency adaptation facilitates the encoding of input gradient in insect olfactory projection neurons*
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**Biosystems. 2023; 223(January)); 104802**
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IF = 1.957
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doi
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Lánský; Petr - Polito; F. - Sacerdote; L.
*Input-output consistency in integrate and fire interconnected neurons*
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**Applied Mathematics and Computation. 2023; 440(1 March)); 127630**
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IF = 4.397
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[
doi
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Tubikanec; I. - Tamborrino; M. - Lánský; Petr - Buckwar; E.
*Qualitative properties of different numerical methods for the inhomogeneous geometric Brownian motion*
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**Journal of Computational and Applied Mathematics. 2022; 406(May 1)); 113951**
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IF = 2.872
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doi
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Tomar; Rimjhim - Smith; Ch. E. - Lánský; Petr
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*A simple neuronal model with intrinsic saturation of the firing frequency*
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**Biosystems. 2022; 222(Dec)); 104780**
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IF = 1.957
[ASEP]
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doi
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Tomar; Rimjhim - Košťál; Lubomír
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*Variability and Randomness of the Instantaneous Firing Rate*
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**Frontiers in Computational Neuroscience. 2021; 15(Jun 7)); 620410**
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IF = 3.387
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[
doi
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Tamborrino; M. - Lánský; Petr
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*Shot noise; weak convergence and diffusion approximations*
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**Physica. D. 2021; 418(Apr)); 132845**
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IF = 3.751
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doi
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Bárta; Tomáš - Košťál; Lubomír
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*Regular spiking in high-conductance states: The essential role of inhibition*
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**Physical Review E. 2021; 103(2)); 022408**
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IF = 2.707
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doi
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Rajdl; Kamil - Lánský; Petr - Košťál; Lubomír
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*Fano Factor: A Potentially Useful Information*
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**Frontiers in Computational Neuroscience. 2020; 14(Nov 20)); 569049**
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IF = 2.380
[ASEP]
[
doi
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Christodoulou; Ch. - Košťál; Lubomír - Sacerdote; L.
*Editorial*
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**Biosystems. 2020; 187(Jan)); 104049**
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IF = 1.973
[ASEP]
[
doi
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Ditlevsen; S. - Rubio; A. C. - Lánský; Petr
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*Transient dynamics of Pearson diffusions facilitates estimation of rate parameters*
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**Communications in Nonlinear Science and Numerical Simulation. 2020; 82(Mar)); 105034**
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IF = 4.260
[ASEP]
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doi
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Ascione; G. - D´Onofrio; G. - Košťál; Lubomír - Pirozzi; E.
*An optimal Gauss-Markov approximation for a process with stochastic drift and applications*
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**Stochastic Processes and their Applications. 2020; 130(11); 6481-6514**
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IF = 1.467
[ASEP]
[
doi
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Tomar; Rimjhim
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*Review: Methods of firing rate estimation*
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**Biosystems. 2019; 183(Sep)); 103980**
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IF = 1.808
[ASEP]
[
doi
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Leváková; Marie - Košťál; Lubomír - Monsempés; Ch. - Lucas; P. - Kobayashi; R.
*Adaptive integrate-and-fire model reproduces the dynamics of olfactory receptor neuron responses in a moth*
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**Journal of the Royal Society Interface. 2019; 16(157)); 20190246**
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IF = 3.748
[ASEP]
[
doi
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Košťál; Lubomír - Kobayashi; R.
*Critical size of neural population for reliable information transmission*
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**Physical Review E. 2019; 100(5)); 050401**
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IF = 2.296
[ASEP]
[
doi
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D´Onofrio; Giuseppe - Pirozzi; E.
*Asymptotics of Two-boundary First-exit-time Densities for Gauss-Markov Processes*
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**Methodology and Computing in Applied Probability. 2019; 21(3); 735-752**
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IF = 0.809
[ASEP]
[
doi
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D´Onofrio; G. - Lánský; Petr - Tamborrino; M.
*Inhibition enhances the coherence in the Jacobi neuronal model*
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**Chaos Solitons & Fractals. 2019; 128; 108-113**
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IF = 3.764
[ASEP]
[
doi
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Bárta; Tomáš - Košťál; Lubomír
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*The effect of inhibition on rate code efficiency indicators*
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**PLoS Computational Biology. 2019; 15(12)); e1007545**
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IF = 4.700
[ASEP]
[
doi
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Skřenková, Kristýna - Lee, S. - Lichnerová, Katarina - Kaniaková, M. - Hansíková, H. - Zápotocký, Martin - Suh, Y. H. - Horák, Martin
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*N-Glycosylation Regulates the Trafficking and Surface Mobility of GluN3A-Containing NMDA Receptors*
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**Frontiers in Molecular Neuroscience 2018, roč. 11, Jun 4, článku 188**
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IF = 3.720
[ASEP]
[
doi
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Leváková, Marie - Košťál, Lubomír - Monsempés, Ch. - Jacob, V. - Lucas, P.
*Moth olfactory receptor neurons adjust their encoding efficiency to temporal statistics of pheromone fluctuations*
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**PLoS Computational Biology 2018, 14(11)), e1006586**
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IF = 4.428
[ASEP]
[
doi
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Košťál, Lubomír - Lánský, Petr - Stiber, Michael
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*Statistics of inverse interspike intervals: The instantaneous firing rate revisited*
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**Chaos 2018, 28(10)), 106305**
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IF = 2.643
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doi
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Košťál, Lubomír - D´Onofrio, Giuseppe
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*Coordinate invariance as a fundamental constraint on the form of stimulus-specific information measures*
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**Biological Cybernetics 2018, roč. 112, 1-2, p. 13-23**
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IF = 1.305
[ASEP]
[
doi
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D´Onofrio, Giuseppe - Tamborrino, M. - Lánský, Petr
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*The Jacobi diffusion process as a neuronal model*
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**Chaos 2018, 28(10)), 103119**
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IF = 2.643
[ASEP]
[
doi
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D´Onofrio, Giuseppe - Macci, C. - Pirozzi, E.
*Asymptotic Results for First-Passage Times of Some Exponential Processes*
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**Methodology and Computing in Applied Probability 2018, 20(4), 1453-1476**
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IF = 0.746
[ASEP]
[
doi
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D´Onofrio, Giuseppe - Lánský, Petr - Pirozzi, E.
*On two diffusion neuronal models with multiplicative noise: The mean first-passage time properties*
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**Chaos 2018, roč. 28, 4, článku 043103**
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IF = 2.643
[ASEP]
[
doi
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Šmít, Daniel - Fouquet, C. - Pincet, F. - Zápotocký, Martin - Trembleau, A.
*Axon tension regulates fasciculation/defasciculation through the control of axon shaft zippering*
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**eLife. 2017, roč. 6, Apr 19, článku e19907**
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IF = 7.616
[ASEP]
[
doi
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