Bursting Oscillations of Neurons and Synchronization
Result description
There are several motivations to be interested in fast-slow dynamics. For instance, many physiological or biological systems display different time scales. The bursting oscillations which can be observed in neurons, ?-cells of the pancreas and populationdynamics are studied and analyzed as fast-slow systems. This framework yields a natural generalization to the notion of bursting oscillations where, for instance, the active phase is chaotic and alternates with a quiescent phase. In the first part of the article, we introduce dynamics with bursting oscillations based on the Hindmarsh-Rose system. Next part describe the bursting chaotic synchronization of two coupled neurons is simulated since the synchronization of individual neurons is thought to playa key role in Parkinson's disease, essential tremor, and epilepsies. On the end discrete version of bursting oscillators is introduced and simulated.
Keywords
synchronizationHindmarsh-Rose systemfast-slow dynamicscoupled neuronschaoticBursting oscillations
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Bursting Oscillations of Neurons and Synchronization
Original language description
There are several motivations to be interested in fast-slow dynamics. For instance, many physiological or biological systems display different time scales. The bursting oscillations which can be observed in neurons, ?-cells of the pancreas and populationdynamics are studied and analyzed as fast-slow systems. This framework yields a natural generalization to the notion of bursting oscillations where, for instance, the active phase is chaotic and alternates with a quiescent phase. In the first part of the article, we introduce dynamics with bursting oscillations based on the Hindmarsh-Rose system. Next part describe the bursting chaotic synchronization of two coupled neurons is simulated since the synchronization of individual neurons is thought to playa key role in Parkinson's disease, essential tremor, and epilepsies. On the end discrete version of bursting oscillators is introduced and simulated.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
JA - Electronics and optoelectronics
OECD FORD branch
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Result continuities
Project
ED2.1.00/03.0094: Regional Innovation Centre for Electrical Engineering (RICE)
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
LATEST TRENDS in CIRCUITS,AUTOMATIC CONTROL and SIGNAL PROCESSING
ISBN
978-1-61804-131-9
ISSN
1790-5117
e-ISSN
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Number of pages
6
Pages from-to
81-86
Publisher name
WSEAS Press
Place of publication
Athens
Event location
Barcelona, Spain
Event date
Oct 17, 2012
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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Basic information
Result type
D - Article in proceedings
CEP
JA - Electronics and optoelectronics
Year of implementation
2012