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Cox Processes and Their Use in Mathematical Models of Sleep-Wake Regulation
Başlık:
Cox Processes and Their Use in Mathematical Models of Sleep-Wake Regulation
Yazar:
Dinitz, Thomas, author.
ISBN:
9780438096578
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 electronic resource (109 pages)
Genel Not:
Source: Dissertation Abstracts International, Volume: 79-11(E), Section: B.
Advisors: Janet Best Committee members: David Sivakoff; Chuan Xue.
Özet:
The neural network controlling sleep-wake cycling in mammals is an area of active research. In experimental data we see a large degree of variance in the firing rate for some neurons involved in sleep-wake regulation. However, the role stochasticity plays in determining the behavior of the network is not well understood. Because the stochasticity in the network comes, in large part, from the random spike times of neurons, doubly stochastic processes provide a natural foundation for a model of this network. In this thesis, we analyze an existing model that utilizes doubly stochastic processes and show the existence and uniqueness of an invariant measure. We also work with the simplest form of this model and show it is capable of generating bout distributions as seen in the data.
In the second part of this thesis, we use the same mathematical formalism and develop a new model that incorporates a more complete understanding of the network structure and physiological mechanisms involved in sleep-wake regulation. We validate the new model against experimental data, and propose a few testable predictions that could be used to further validate and refine the model.
Notlar:
School code: 0168
Konu Başlığı:
Tüzel Kişi Ek Girişi:
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Yer Numarası | Demirbaş Numarası | Shelf Location | Lokasyon / Statüsü / İade Tarihi |
---|---|---|---|
XX(696347.1) | 696347-1001 | Proquest E-Tez Koleksiyonu | Arıyor... |
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