1:30pm - 3:30pm
Monday 18 June 2018
Mathematical modelling of sleep/wake regulation workshop
Dr Victoria Booth (University of Michigan) and Dr Cecilia Diniz-Behn (Colorado School of Mines) will be visiting the Department of Mathematics and the Surrey Sleep Research Centre for a two hour talk session.
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The Mathematics of Life and Social Sciences Group and Surrey Sleep Research Centre here at the University are hosting a two hour session, which includes a break, where Victoria Booth and Cecilia Diniz Behn will be giving talks on the below subjects.
Modeling sleep-wake regulation: REM sleep mechanisms and dynamics
Dr Victoria Booth
Departments of Mathematics and Anesthesiology
University of Michigan
Sleep and wake states are regulated by the interactions among a number of brainstem and hypothalamic neuronal populations and the expression of their neurotransmitters. However, different structures have been proposed for this sleep-wake regulatory network with particular debate over components involved in rapid-eye movement (REM) sleep regulation.
We have developed a series of mathematical models that investigate the neuronal network structure and state transition dynamics of proposed sleep-wake regulatory networks. In this talk, I will discuss our modeling work to analyze how temporal dynamics of experimentally recorded rodent sleep constrains proposed mechanisms for REM sleep generation.
What time do you have? Modeling interindividual variability in the human circadian system
Dr Cecilia Diniz Behn
Department of Applied Mathematics and Statistics, Colorado School of Mines
Department of Pediatrics, University of Colorado School of Medicine
In adult humans, an intrinsic circadian period of ~24.2 h is entrained to the 24 hour day by external factors including light, eating, and exercise. However, interindividual variability in intrinsic period and other properties of the circadian clock contribute to differential responses to manipulations of the circadian system as occur during temporal isolation experiments or forced desynchrony protocols.
In this talk, I will discuss how mathematical modeling can provide insight into the physiological mechanisms associated with these differential responses. I will also discuss recent work using mathematical modeling to optimize the design of ultradian forced desynchrony protocols to minimize interindividual variability and facilitate the analysis and interpretation of data collected under these protocols.