On two diffusion neuronal models with multiplicative noise: The mean first-passage time properties
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985823%3A_____%2F18%3A00489921" target="_blank" >RIV/67985823:_____/18:00489921 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1063/1.5009574" target="_blank" >http://dx.doi.org/10.1063/1.5009574</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.5009574" target="_blank" >10.1063/1.5009574</a>
Alternative languages
Result language
angličtina
Original language name
On two diffusion neuronal models with multiplicative noise: The mean first-passage time properties
Original language description
Two diffusion processes with multiplicative noise, able to model the changes in the neuronal membrane depolarization between two consecutive spikes of a single neuron, are considered and compared. The processes have the same deterministic part but different stochastic components. The differences in the state-dependent variabilities, their asymptotic distributions, and the properties of the first-passage time across a constant threshold are investigated. Closed form expressions for the mean of the first-passage time of both processes are derived and applied to determine the role played by the parameters involved in the model. It is shown that for some values of the input parameters, the higher variability, given by the second moment, does not imply shorter mean first-passage time. The reason for that can be found in the complete shape of the stationary distribution of the two processes. Applications outside neuroscience are also mentioned.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA17-06943S" target="_blank" >GA17-06943S: Neural coding precision and its adaptation to the stimulus statistics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Chaos
ISSN
1054-1500
e-ISSN
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Volume of the periodical
28
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
9
Pages from-to
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UT code for WoS article
000431142000007
EID of the result in the Scopus database
2-s2.0-85044920219