Bhikha, Bhavya (2024) Sleep-wake Models. Bachelor's Thesis, Mathematics.
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Abstract
The research in this paper aims to explore two sleep-wake models, namely the two-process model and an improved version of this model called the Phillips and Robinson (PR) model. The two-process model is comprised of two processes whereas the PR model involves three processes. For both models, we examine and graphically illustrate each of the individual processes. We mathematically analyse the differences between these two models and compare them to highlight their similarities whilst showcasing how they are related. This is demonstrated using the theory of ”Slow-Fast Systems” where we study the dynamics of the respective subsystems, specifically the slow manifold and the layer problem.
| Item Type: | Thesis (Bachelor's Thesis) |
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| Supervisor name: | Waalkens, H. and Sterk, A.E. and Hoveijn, I. |
| Degree programme: | Mathematics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 30 Jul 2024 07:28 |
| Last Modified: | 30 Jul 2024 07:28 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/33733 |
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