dc.contributor.advisor |
Güler, Marifi |
|
dc.contributor.author |
Khudhur, Ahmed Mahmood |
|
dc.date.accessioned |
2017-05-15T12:02:19Z |
|
dc.date.available |
2017-05-15T12:02:19Z |
|
dc.date.issued |
2014-03 |
|
dc.date.submitted |
2014 |
|
dc.identifier.citation |
Khudhur, Ahmed Mahmood. (2014). An Investigation into the Colored Stochastic Hodgkin-Huxley Equations Under Noisy Input Currents. Thesis (M.S.), Eastern Mediterranean University, Institute of Graduate Studies and Research, Dept. of Computer Engineering, Famagusta: North Cyprus. |
en_US |
dc.identifier.uri |
http://hdl.handle.net/11129/3249 |
|
dc.description |
Master of Science in Computer Engineering. Thesis (M.S.)--Eastern Mediterranean University, Faculty of Engineering, Dept. of Computer Engineering, 2014. Supervisor: Prof. Dr. Marifi Güler. |
en_US |
dc.description.abstract |
In recent years, it has been argued and shown experimentally that ion channel noise in neurons can have profound influence on the neuron’s dynamical behavior. Most profoundly, ion channel noise was seen to be able to cause spontaneous firing and stochastic resonance.
It was recently found by Güler (2011) that a non-trivially persistent correlation takes place between the transmembrane voltage fluctuations and the element of open channel fluctuations attributed to the gate multiplicity. This non-trivial phenomenon was found to be playacting an essential important role for the elevation of excitability and spontaneous firing in the small size cell. In addition, the same phenomenon was found to be enhancing thе spike coherence significantly. More recently, thе effects of thе above cross correlation persistency was modeled; by thе same author M. Güler (2013), through inserting some colored noise terms inside the conductances in the stochastic Hodgkin- Huxley equations.
In this thesis, the colored stochastic Hodgkin-Huxley equations were studied when the input current to the neuron is noisy. The spiking rates and the spike coherence were examined. In particular, the role played by the presence of the colored noise terms in the conductances was focused on in the examination. Our investigation reveals that the presence of the colored noise terms enhances the agreement with the microscopic simulation results not only in the case of the noise-free input currents but also in the case of the noisy currents.
Keywords: ion channel, channel noise, colored noise, channel gate, small size membrane, stochastic Hodgkin-Huxley |
en_US |
dc.description.abstract |
ÖZ:
Son yıllarda, nöronlardaki ion kanal gürültüsünün nöron dinamiği üzerinde hayati etki yapabildiği deneysel olarak da kanıtlanmıştır. Bu kapsamda, kendi kendine ateşleme ve stokastik rezonans en çarpıcı bulgulardır.
İyon kanallarında çoklu geçit bulunmasının, voltage dalgalanmaları ve açık kanal dalgalanmaları arasında ilk bakışta gözükmeyen bir daimi çapraz ilişkiye neden olduğu Güler (2011) tarafından ortaya çıkartılmıştır. Bu ilk bakışta gözükmeyen olgunun, küçük boyutlu hücrelerde yüksek uyarılma ve kendi kendine ateşlemeye neden olduğu bulunmuştur. İlaveten, sözkonusu olgunun ateşleme uyumluluğunu arttırdığı saptanmıştır. Daha yakın zamanda, Fox ve Lu’nun stokastik Hodgkin-Huxley denklemleri geçirgenliklere renkli gürültü terimleri ekleyerek genişletilmiştir (Güler, 2013).
Bu tezde, yukarıdaki renklendirilmiş stokastik Hodgkin-Huxley modeli, gürültülü girdi akımları kullanılarak çalışılmıştır. Renkli gürültü terimlerinin varlığının gürültülü girdi akımları kullanılması durumunda da mikroskopik benzeşim sonuçlarıyla uyumu arttırdığı gözlenmiştir.
Anahtar Kelimeler: İyon kanalı, Kanal gürültüsü, Renkli gürültü, Kanal geçiti, Küçük boyutlu zar, Stokastik Hodgkin-Huxley. |
en_US |
dc.language.iso |
eng |
en_US |
dc.publisher |
Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ) |
en_US |
dc.rights |
info:eu-repo/semantics/openAccess |
en_US |
dc.subject |
Computer Engineering |
en_US |
dc.subject |
Stochastic Systems |
en_US |
dc.subject |
ion channel |
en_US |
dc.subject |
channel noise |
en_US |
dc.subject |
colored noise |
en_US |
dc.subject |
channel gate |
en_US |
dc.subject |
small size membrane |
en_US |
dc.subject |
stochastic Hodgkin-Huxley |
en_US |
dc.title |
An Investigation into the Colored Stochastic Hodgkin-Huxley Equations Under Noisy Input Currents |
en_US |
dc.type |
masterThesis |
en_US |
dc.contributor.department |
Eastern Mediterranean University, Faculty of Engineering, Department of Computer Engineering |
en_US |