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Athanasouli C, Stowe SR, LeBourgeois MK, Booth V, Diniz Behn CG. Data-driven mathematical modeling of sleep consolidation in early childhood. J Theor Biol 2024; 593:111892. [PMID: 38945471 DOI: 10.1016/j.jtbi.2024.111892] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/15/2023] [Revised: 04/22/2024] [Accepted: 06/23/2024] [Indexed: 07/02/2024]
Abstract
Across early childhood development, sleep behavior transitions from a biphasic pattern (a daytime nap and nighttime sleep) to a monophasic pattern (only nighttime sleep). The transition to consolidated nighttime sleep, which occurs in most children between 2- and 5-years-old, is a major developmental milestone and reflects interactions between the developing homeostatic sleep drive and circadian system. Using a physiologically-based mathematical model of the sleep-wake regulatory network constrained by observational and experimental data from preschool-aged participants, we analyze how developmentally-mediated changes in the homeostatic sleep drive may contribute to the transition from napping to non-napping sleep patterns. We establish baseline behavior by identifying parameter sets that model typical 2-year-old napping behavior and 5-year-old non-napping behavior. Then we vary six model parameters associated with the dynamics of and sensitivity to the homeostatic sleep drive between the 2-year-old and 5-year-old parameter values to induce the transition from biphasic to monophasic sleep. We analyze the individual contributions of these parameters to sleep patterning by independently varying their age-dependent developmental trajectories. Parameters vary according to distinct evolution curves and produce bifurcation sequences representing various ages of transition onset, transition durations, and transitional sleep patterns. Finally, we consider the ability of napping and non-napping light schedules to reinforce napping or promote a transition to consolidated sleep, respectively. These modeling results provide insight into the role of the homeostatic sleep drive in promoting interindividual variability in developmentally-mediated transitions in sleep behavior and lay foundations for the identification of light- or behavior-based interventions that promote healthy sleep consolidation in early childhood.
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Affiliation(s)
- Christina Athanasouli
- Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, MI, 48109, USA; School of Mathematics, Georgia Institute of Technology, 686 Cherry St NW, Atlanta, GA, 30332, USA.
| | - Shelby R Stowe
- Department of Applied Mathematics and Statistics, Colorado School of Mines, 1500 Illinois Street, Golden, CO, 80401, USA.
| | - Monique K LeBourgeois
- Department of Integrative Physiology, University of Colorado, 354 UCB, Boulder, CO, 80309, USA.
| | - Victoria Booth
- Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, MI, 48109, USA; Department of Anesthesiology, University of Michigan, 1500 E Medical Center Drive, Ann Arbor, MI, 48109-5048, USA.
| | - Cecilia G Diniz Behn
- Department of Applied Mathematics and Statistics, Colorado School of Mines, 1500 Illinois Street, Golden, CO, 80401, USA; Department of Pediatrics, University of Colorado Anschutz Medical Campus, 13001 East 17th Place, Aurora, CO, 80045, USA.
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2
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Webb L, Phillips AJK, Roberts JA. Mapping the physiological changes in sleep regulation across infancy and young childhood. PLoS Comput Biol 2024; 20:e1012541. [PMID: 39432549 PMCID: PMC11527290 DOI: 10.1371/journal.pcbi.1012541] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/31/2024] [Revised: 10/31/2024] [Accepted: 10/07/2024] [Indexed: 10/23/2024] Open
Abstract
Sleep patterns in infancy and early childhood vary greatly and change rapidly during development. In adults, sleep patterns are regulated by interactions between neuronal populations in the brainstem and hypothalamus, driven by the circadian and sleep homeostatic processes. However, the neurophysiological mechanisms underlying the sleep patterns and their variations across infancy and early childhood are poorly understood. We investigated whether a well-established mathematical model for sleep regulation in adults can model infant sleep characteristics and explain the physiological basis for developmental changes. By fitting longitudinal sleep data spanning 2 to 540 days after birth, we inferred parameter trajectories across age. We found that the developmental changes in sleep patterns are consistent with a faster accumulation and faster clearance of sleep homeostatic pressure in infancy and a weaker circadian rhythm in early infancy. We also find greater sensitivity to phase-delaying effects of light in infancy and early childhood. These findings reveal fundamental mechanisms that regulate sleep in infancy and early childhood. Given the critical role of sleep in healthy neurodevelopment, this framework could be used to pinpoint pathophysiological mechanisms and identify ways to improve sleep quality in early life.
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Affiliation(s)
- Lachlan Webb
- Brain Modelling Group, QIMR Berghofer Medical Research Institute, Herston, Brisbane, Queensland, Australia
- Faculty of Medicine, University of Queensland, Queensland, Australia
| | - Andrew J. K. Phillips
- Flinders Health and Medical Research Institute (Sleep Health), Flinders University, Bedford Park, South Australia, Australia
| | - James A. Roberts
- Brain Modelling Group, QIMR Berghofer Medical Research Institute, Herston, Brisbane, Queensland, Australia
- Faculty of Medicine, University of Queensland, Queensland, Australia
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3
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Phillips AJK, St Hilaire MA, Barger LK, O'Brien CS, Rahman SA, Landrigan CP, Lockley SW, Czeisler CA, Klerman EB. Predicting neurobehavioral performance of resident physicians in a Randomized Order Safety Trial Evaluating Resident-Physician Schedules (ROSTERS). Sleep Health 2024; 10:S25-S33. [PMID: 38007304 PMCID: PMC11031327 DOI: 10.1016/j.sleh.2023.10.018] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/03/2023] [Revised: 10/20/2023] [Accepted: 10/27/2023] [Indexed: 11/27/2023]
Abstract
OBJECTIVES Mathematical models of human neurobehavioral performance that include the effects of acute and chronic sleep restriction can be key tools in assessment and comparison of work schedules, allowing quantitative predictions of performance when empirical assessment is impractical. METHODS Using such a model, we tested the hypothesis that resident physicians working an extended duration work roster, including 24-28 hours of continuous duty and up to 88 hours per week averaged over 4weeks, would have worse predicted performance than resident physicians working a rapidly cycling work roster intervention designed to reduce the duration of extended shifts. The performance metric used was attentional failures (ie, Psychomotor Vigilance Task lapses). Model input was 169 actual work and sleep schedules. Outcomes were predicted hours per week during work hours spent at moderate (equivalent to 16-20 hours of continuous wakefulness) or high (equivalent to ≥20 hours of continuous wakefulness) performance impairment. RESULTS The model predicted that resident physicians working an extended duration work roster would spend significantly more time at moderate impairment (p = .02, effect size=0.2) than those working a rapidly cycling work roster; this difference was most pronounced during the circadian night (p < .001). On both schedules, performance was predicted to decline from weeks 1 + 2 to weeks 3 + 4 (p < .001), but the rate of decline was significantly greater on extended duration work roster (p < .01). Predicted performance impairment was inversely related to prior sleep duration (p < .001). CONCLUSIONS These findings demonstrate the utility of a mathematical model to evaluate the predicted performance profile of schedules for resident physicians and others who experience chronic sleep restriction and circadian misalignment.
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Affiliation(s)
- Andrew J K Phillips
- Division of Sleep and Circadian Disorders, Departments of Medicine and Neurology, Brigham and Women's Hospital, Boston, Massachusetts, USA; Division of Sleep Medicine, Department of Medicine, Harvard Medical School, Boston, Massachusetts, USA
| | - Melissa A St Hilaire
- Division of Sleep and Circadian Disorders, Departments of Medicine and Neurology, Brigham and Women's Hospital, Boston, Massachusetts, USA; Division of Sleep Medicine, Department of Medicine, Harvard Medical School, Boston, Massachusetts, USA.
| | - Laura K Barger
- Division of Sleep and Circadian Disorders, Departments of Medicine and Neurology, Brigham and Women's Hospital, Boston, Massachusetts, USA; Division of Sleep Medicine, Department of Medicine, Harvard Medical School, Boston, Massachusetts, USA
| | - Conor S O'Brien
- Division of Sleep and Circadian Disorders, Departments of Medicine and Neurology, Brigham and Women's Hospital, Boston, Massachusetts, USA; Division of Sleep Medicine, Department of Medicine, Harvard Medical School, Boston, Massachusetts, USA
| | - Shadab A Rahman
- Division of Sleep and Circadian Disorders, Departments of Medicine and Neurology, Brigham and Women's Hospital, Boston, Massachusetts, USA; Division of Sleep Medicine, Department of Medicine, Harvard Medical School, Boston, Massachusetts, USA
| | - Christopher P Landrigan
- Division of Sleep and Circadian Disorders, Departments of Medicine and Neurology, Brigham and Women's Hospital, Boston, Massachusetts, USA; Division of Sleep Medicine, Department of Medicine, Harvard Medical School, Boston, Massachusetts, USA; Division of General Pediatrics, Department of Pediatrics, Boston Children's Hospital, Harvard Medical School, Boston, Massachusetts, USA
| | - Steven W Lockley
- Division of Sleep and Circadian Disorders, Departments of Medicine and Neurology, Brigham and Women's Hospital, Boston, Massachusetts, USA; Division of Sleep Medicine, Department of Medicine, Harvard Medical School, Boston, Massachusetts, USA
| | - Charles A Czeisler
- Division of Sleep and Circadian Disorders, Departments of Medicine and Neurology, Brigham and Women's Hospital, Boston, Massachusetts, USA; Division of Sleep Medicine, Department of Medicine, Harvard Medical School, Boston, Massachusetts, USA
| | - Elizabeth B Klerman
- Division of Sleep and Circadian Disorders, Departments of Medicine and Neurology, Brigham and Women's Hospital, Boston, Massachusetts, USA; Division of Sleep Medicine, Department of Medicine, Harvard Medical School, Boston, Massachusetts, USA
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4
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Varma P, Postnova S, Phillips AJK, Knock S, Howard ME, Rajaratnam SMW, Sletten TL. Pilot feasibility testing of biomathematical model recommendations for personalising sleep timing in shift workers. J Sleep Res 2023:e14026. [PMID: 37632717 DOI: 10.1111/jsr.14026] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/07/2023] [Revised: 08/02/2023] [Accepted: 08/04/2023] [Indexed: 08/28/2023]
Abstract
Sleep disturbances and circadian disruption play a central role in adverse health, safety, and performance outcomes in shift workers. While biomathematical models of sleep and alertness can be used to personalise interventions for shift workers, their practical implementation is undertested. This study tested the feasibility of implementing two biomathematical models-the Phillips-Robinson Model and the Model for Arousal Dynamics-in 28 shift-working nurses, 14 in each group. The study examined the overlap and adherence between model recommendations and sleep behaviours, and changes in sleep following the implementation of recommendations. For both groups combined, the mean (SD) percentage overlap between when a model recommended an individual to sleep and when sleep was obtained was 73.62% (10.24%). Adherence between model recommendations and sleep onset and offset times was significantly higher with the Model of Arousal Dynamics compared to the Phillips-Robinson Model. For the Phillips-Robinson model, 27% of sleep onset and 35% of sleep offset times were within ± 30 min of model recommendations. For the Model of Arousal Dynamics, 49% of sleep onset, and 35% of sleep offset times were within ± 30 min of model recommendations. Compared to pre-study, significant improvements were observed post-study for sleep disturbance (Phillips-Robinson Model), and insomnia severity and sleep-related impairments (Model of Arousal Dynamics). Participants reported that using a digital, automated format for the delivery of sleep recommendations would enable greater uptake. These findings provide a positive proof-of-concept for using biomathematical models to recommend sleep in operational contexts.
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Affiliation(s)
- Prerna Varma
- Turner Institute for Brain and Mental Health and School of Psychological Sciences, Monash University, Clayton, Australia
| | | | - Andrew J K Phillips
- Turner Institute for Brain and Mental Health and School of Psychological Sciences, Monash University, Clayton, Australia
| | - Stuart Knock
- School of Physics, The University of Sydney, Camperdown, Australia
| | - Mark E Howard
- Turner Institute for Brain and Mental Health and School of Psychological Sciences, Monash University, Clayton, Australia
- Institute for Breathing and Sleep, Austin Health, Heidelberg, Australia
- Faculty of Medicine, Dentistry and Health Sciences, University of Melbourne, Parkville, Australia
| | - Shantha M W Rajaratnam
- Turner Institute for Brain and Mental Health and School of Psychological Sciences, Monash University, Clayton, Australia
- Division of Sleep and Circadian Disorders, Departments of Medicine and Neurology, Brigham and Women's Hospital, Boston, Massachusetts, USA
- Division of Sleep Medicine, Harvard Medical School, Boston, Massachusetts, USA
| | - Tracey L Sletten
- Turner Institute for Brain and Mental Health and School of Psychological Sciences, Monash University, Clayton, Australia
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Kim DW, Mayer C, Lee MP, Choi SW, Tewari M, Forger DB. Efficient assessment of real-world dynamics of circadian rhythms in heart rate and body temperature from wearable data. J R Soc Interface 2023; 20:20230030. [PMID: 37608712 PMCID: PMC10445022 DOI: 10.1098/rsif.2023.0030] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/23/2023] [Accepted: 07/31/2023] [Indexed: 08/24/2023] Open
Abstract
Laboratory studies have made unprecedented progress in understanding circadian physiology. Quantifying circadian rhythms outside of laboratory settings is necessary to translate these findings into real-world clinical practice. Wearables have been considered promising way to measure these rhythms. However, their limited validation remains an open problem. One major barrier to implementing large-scale validation studies is the lack of reliable and efficient methods for circadian assessment from wearable data. Here, we propose an approximation-based least-squares method to extract underlying circadian rhythms from wearable measurements. Its computational cost is ∼ 300-fold lower than that of previous work, enabling its implementation in smartphones with low computing power. We test it on two large-scale real-world wearable datasets: [Formula: see text] of body temperature data from cancer patients and ∼ 184 000 days of heart rate and activity data collected from the 'Social Rhythms' mobile application. This shows successful extraction of real-world dynamics of circadian rhythms. We also identify a reasonable harmonic model to analyse wearable data. Lastly, we show our method has broad applicability in circadian studies by embedding it into a Kalman filter that infers the state space of the molecular clocks in tissues. Our approach facilitates the translation of scientific advances in circadian fields into actual improvements in health.
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Affiliation(s)
- Dae Wook Kim
- Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA
| | - Caleb Mayer
- Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA
| | - Minki P. Lee
- Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA
| | - Sung Won Choi
- Division of Pediatric Hematology/Oncology, Department of Pediatrics, University of Michigan, Ann Arbor, MI 48109, USA
- Rogel Comprehensive Cancer Center, University of Michigan, Ann Arbor, MI 48109, USA
| | - Muneesh Tewari
- Rogel Comprehensive Cancer Center, University of Michigan, Ann Arbor, MI 48109, USA
- Division of Hematology and Oncology, Department of Internal Medicine, University of Michigan, Ann Arbor, MI 48109, USA
- Department of Biomedical Engineering, University of Michigan, Ann Arbor, MI 48109, USA
- Center for Computational Medicine and Bioinformatics, University of Michigan, Ann Arbor, MI 48109, USA
| | - Daniel B. Forger
- Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA
- Center for Computational Medicine and Bioinformatics, University of Michigan, Ann Arbor, MI 48109, USA
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Crodelle J, Vanty C, Booth V. Modeling homeostatic and circadian modulation of human pain sensitivity. Front Neurosci 2023; 17:1166203. [PMID: 37360178 PMCID: PMC10285085 DOI: 10.3389/fnins.2023.1166203] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/14/2023] [Accepted: 05/18/2023] [Indexed: 06/28/2023] Open
Abstract
Introduction Mathematical modeling has played a significant role in understanding how homeostatic sleep pressure and the circadian rhythm interact to influence sleep-wake behavior. Pain sensitivity is also affected by these processes, and recent experimental results have measured the circadian and homeostatic components of the 24 h rhythm of thermal pain sensitivity in humans. To analyze how rhythms in pain sensitivity are affected by disruptions in sleep behavior and shifts in circadian rhythms, we introduce a dynamic mathematical model for circadian and homeostatic regulation of sleep-wake states and pain intensity. Methods The model consists of a biophysically based, sleep-wake regulation network model coupled to data-driven functions for the circadian and homeostatic modulation of pain sensitivity. This coupled sleep-wake-pain sensitivity model is validated by comparison to thermal pain intensities in adult humans measured across a 34 h sleep deprivation protocol. Results We use the model to predict dysregulation of pain sensitivity rhythms across different scenarios of sleep deprivation and circadian rhythm shifts, including entrainment to new environmental light and activity timing as occurs with jet lag and chronic sleep restriction. Model results show that increases in pain sensitivity occur under conditions of increased homeostatic sleep drive with nonlinear modulation by the circadian rhythm, leading to unexpected decreased pain sensitivity in some scenarios. Discussion This model provides a useful tool for pain management by predicting alterations in pain sensitivity due to varying or disrupted sleep schedules.
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Affiliation(s)
- Jennifer Crodelle
- Department of Mathematics, Middlebury College, Middlebury, VT, United States
| | - Carolyn Vanty
- Department of Mathematics, Middlebury College, Middlebury, VT, United States
| | - Victoria Booth
- Departments of Mathematics and Anesthesiology, University of Michigan, Ann Arbor, MI, United States
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7
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Nurse rostering with fatigue modelling : Incorporating a validated sleep model with biological variations in nurse rostering. Health Care Manag Sci 2023; 26:21-45. [PMID: 36197537 PMCID: PMC10011308 DOI: 10.1007/s10729-022-09613-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/14/2020] [Accepted: 08/16/2022] [Indexed: 11/04/2022]
Abstract
We use a real Nurse Rostering Problem and a validated model of human sleep to formulate the Nurse Rostering Problem with Fatigue. The fatigue modelling includes individual biologies, thus enabling personalised schedules for every nurse. We create an approximation of the sleep model in the form of a look-up table, enabling its incorporation into nurse rostering. The problem is solved using an algorithm that combines Mixed-Integer Programming and Constraint Programming with a Large Neighbourhood Search. A post-processing algorithm deals with errors, to produce feasible rosters minimising global fatigue. The results demonstrate the realism of protecting nurses from highly fatiguing schedules and ensuring the alertness of staff. We further demonstrate how minimally increased staffing levels enable lower fatigue, and find evidence to suggest biological complementarity among staff can be used to reduce fatigue. We also demonstrate how tailoring shifts to nurses' biology reduces the overall fatigue of the team, which means managers must grapple with the issue of fairness in rostering.
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8
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Tekieh T, Lockley SW, Robinson PA, McCloskey S, Zobaer MS, Postnova S. Modeling melanopsin-mediated effects of light on circadian phase, melatonin suppression, and subjective sleepiness. J Pineal Res 2020; 69:e12681. [PMID: 32640090 DOI: 10.1111/jpi.12681] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 04/22/2020] [Revised: 06/05/2020] [Accepted: 07/01/2020] [Indexed: 12/14/2022]
Abstract
A physiologically based model of arousal dynamics is improved to incorporate the effects of the light spectrum on circadian phase resetting, melatonin suppression, and subjective sleepiness. To account for these nonvisual effects of light, melanopic irradiance replaces photopic illuminance that was used previously in the model. The dynamic circadian oscillator is revised according to the melanopic irradiance definition and tested against experimental circadian phase resetting dose-response and phase response data. Melatonin suppression function is recalibrated against melatonin dose-response data for monochromatic and polychromatic light sources. A new light-dependent term is introduced into the homeostatic weight component of subjective sleepiness to represent the direct alerting effect of light; the new term responds to light change in a time-dependent manner and is calibrated against experimental data. The model predictions are compared to a total of 14 experimental studies containing 26 data sets for 14 different spectral light profiles. The revised melanopic model shows on average 1.4 times lower prediction error for circadian phase resetting compared to the photopic-based model, 3.2 times lower error for melatonin suppression, and 2.1 times lower error for subjective sleepiness. Overall, incorporating melanopic irradiance allowed simulation of wavelength-dependent responses to light and could explain the majority of the observations. Moving forward, models of circadian phase resetting and the direct effects of light on alertness and sleep need to use nonvisual photoreception-based measures of light, for example, melanopic irradiance, instead of the traditionally used illuminance based on the visual system.
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Affiliation(s)
- Tahereh Tekieh
- School of Physics, University of Sydney, Sydney, NSW, Australia
- Cooperative Research Centre for Alertness, Safety and Productivity, Melbourne, Vic., Australia
- Centre of Excellence for Integrative Brain Function, University of Sydney, Sydney, NSW, Australia
| | - Steven W Lockley
- Cooperative Research Centre for Alertness, Safety and Productivity, Melbourne, Vic., Australia
- Turner Institute for Brain and Mental Health, School of Psychological Sciences, Monash University, Melbourne, Vic., Australia
| | - Peter A Robinson
- School of Physics, University of Sydney, Sydney, NSW, Australia
- Cooperative Research Centre for Alertness, Safety and Productivity, Melbourne, Vic., Australia
- Centre of Excellence for Integrative Brain Function, University of Sydney, Sydney, NSW, Australia
- Centre for Translational Sleep and Circadian Neurobiology, University of Sydney, Sydney, NSW, Australia
| | - Stephen McCloskey
- School of Physics, University of Sydney, Sydney, NSW, Australia
- Cooperative Research Centre for Alertness, Safety and Productivity, Melbourne, Vic., Australia
| | - M S Zobaer
- School of Physics, University of Sydney, Sydney, NSW, Australia
- Cooperative Research Centre for Alertness, Safety and Productivity, Melbourne, Vic., Australia
| | - Svetlana Postnova
- School of Physics, University of Sydney, Sydney, NSW, Australia
- Cooperative Research Centre for Alertness, Safety and Productivity, Melbourne, Vic., Australia
- Centre of Excellence for Integrative Brain Function, University of Sydney, Sydney, NSW, Australia
- Charles Perkins Centre, University of Sydney, Sydney, NSW, Australia
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9
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Piltz SH, Diniz Behn CG, Booth V. Habitual sleep duration affects recovery from acute sleep deprivation: A modeling study. J Theor Biol 2020; 504:110401. [PMID: 32663506 DOI: 10.1016/j.jtbi.2020.110401] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/22/2020] [Revised: 06/27/2020] [Accepted: 07/04/2020] [Indexed: 12/13/2022]
Abstract
Adult humans exhibit high interindividual variation in habitual sleep durations, with short sleepers typically sleeping less than 6 h per night and long sleepers typically sleeping more than 9 h per night. Analysis of the time course of homeostatic sleep drive in habitual short and long sleepers has not identified differences between these groups, leading to the hypothesis that habitual short sleep results from increased tolerance to high levels of homeostatic sleep drive. Using a physiologically-based mathematical model of the sleep-wake regulatory network, we investigate responses to acute sleep deprivation in simulated populations of habitual long, regular and short sleepers that differ in daily levels of homeostatic sleep drive. The model predicts timing and durations of wake, rapid eye movement (REM), and non-REM (NREM) sleep episodes as modulated by the homeostatic sleep drive and the circadian rhythm, which is entrained to an external light cycle. Model parameters are fit to experimental measures of baseline sleep durations to construct simulated populations of individuals of each sleeper type. The simulated populations are validated against data for responses to specific acute sleep deprivation protocols. We use the model to predict responses to a wide range of sleep deprivation durations for each sleeper type. Model results predict that all sleeper types exhibit shorter sleep durations during recovery sleep that occurs in the morning, but, for recovery sleep times occurring later in the day, long and regular sleepers show longer and more variable sleep durations, and can suffer longer lasting disruption of daily sleep patterns compared to short sleepers. Additionally, short sleepers showed more resilience to sleep deprivation with longer durations of waking episodes following recovery sleep. These results support the hypothesis that differential responses to sleep deprivation between short and long sleepers result from differences in the tolerance for homeostatic sleep pressure.
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Affiliation(s)
- Sofia H Piltz
- Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA.
| | - Cecilia G Diniz Behn
- Department of Applied Mathematics and Statistics, Colorado School of Mines, Golden, CO 80401.
| | - Victoria Booth
- Departments of Mathematics and Anesthesiology, University of Michigan, Ann Arbor, MI 48109, USA.
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10
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Abel JH, Lecamwasam K, Hilaire MAS, Klerman EB. Recent advances in modeling sleep: from the clinic to society and disease. CURRENT OPINION IN PHYSIOLOGY 2020; 15:37-46. [PMID: 34485783 PMCID: PMC8415470 DOI: 10.1016/j.cophys.2019.12.001] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Abstract
In the past few decades, advances in understanding sleep-wake neurophysiology have occurred hand-in-hand with advances in mathematical modeling of sleep and wake. In this review, we summarize recent updates in modeling the timing and durations of sleep and wake, the underlying neurophysiology of sleep and wake, and the application of these models in understanding cognition and disease. Throughout, we highlight the role modeling has played in developing our understanding of sleep and its underlying mechanisms. We present open questions and controversies in the field and propose the utility of individualized models of sleep for precision sleep medicine.
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Affiliation(s)
- John H Abel
- Department of Anesthesia, Critical Care and Pain Medicine, Massachusetts General Hospital, Boston, MA 02114
- Picower Institute for Learning and Memory, Massachusetts Institute of Technology, Cambridge, MA 02139
- Division of Sleep Medicine, Harvard Medical School, Boston, MA 02115
| | | | - Melissa A St Hilaire
- Division of Sleep Medicine, Harvard Medical School, Boston, MA 02115
- Division of Sleep and Circadian Disorders, Department of Medicine, Brigham and Women's Hospital, Boston, MA 02115
| | - Elizabeth B Klerman
- Division of Sleep Medicine, Harvard Medical School, Boston, MA 02115
- Division of Sleep and Circadian Disorders, Department of Medicine, Brigham and Women's Hospital, Boston, MA 02115
- Department of Neurology, Massachusetts General Hospital, Boston, MA 02114
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Abstract
Sleep and circadian rhythms are regulated across multiple functional, spatial and temporal levels: from genes to networks of coupled neurons and glial cells, to large scale brain dynamics and behaviour. The dynamics at each of these levels are complex and the interaction between the levels is even more so, so research have mostly focused on interactions within the levels to understand the underlying mechanisms—the so-called reductionist approach. Mathematical models were developed to test theories of sleep regulation and guide new experiments at each of these levels and have become an integral part of the field. The advantage of modelling, however, is that it allows us to simulate and test the dynamics of complex biological systems and thus provides a tool to investigate the connections between the different levels and study the system as a whole. In this paper I review key models of sleep developed at different physiological levels and discuss the potential for an integrated systems biology approach for sleep regulation across these levels. I also highlight the necessity of building mechanistic connections between models of sleep and circadian rhythms across these levels.
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Affiliation(s)
- Svetlana Postnova
- School of Physics, University of Sydney, Sydney 2006, NSW, Australia;
- Center of Excellence for Integrative Brain Function, University of Sydney, Sydney 2006, NSW, Australia
- Charles Perkins Center, University of Sydney, Sydney 2006, NSW, Australia
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12
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Randjelović P, Stojiljković N, Radulović N, Ilić I, Stojanović N, Ilić S. The association of smartphone usage with subjective sleep quality and daytime sleepiness among medical students. BIOL RHYTHM RES 2018. [DOI: 10.1080/09291016.2018.1499374] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
Affiliation(s)
- Pavle Randjelović
- University of Niš, Faculty of Medicine, Department of Physiology, Niš, Serbia
| | - Nenad Stojiljković
- University of Niš, Faculty of Medicine, Department of Physiology, Niš, Serbia
| | - Niko Radulović
- University of Niš, Faculty of Sciences and Mathematics, Department of Chemistry, Niš, Serbia
| | - Ivan Ilić
- University of Niš, Faculty of Medicine, Institute of Pathology, Niš, Serbia
| | | | - Sonja Ilić
- University of Niš, Faculty of Medicine, Department of Physiology, Niš, Serbia
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13
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Gordon CJ, Comas M, Postnova S, Miller CB, Roy D, J. Bartlett D, R. Grunstein R. The effect of consecutive transmeridian flights on alertness, sleep–wake cycles and sleepiness: A case study. Chronobiol Int 2018; 35:1471-1480. [DOI: 10.1080/07420528.2018.1493597] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/25/2023]
Affiliation(s)
- Christopher J. Gordon
- Susan Wakil School of Nursing and Midwifery, Faculty of Medicine and Health, University of Sydney, Sydney, NSW, Australia
- CIRUS, Centre for Sleep and Chronobiology, Woolcock Institute of Medical Research, Sydney, NSW, Australia
| | - Maria Comas
- CIRUS, Centre for Sleep and Chronobiology, Woolcock Institute of Medical Research, Sydney, NSW, Australia
- Central Clinical School, Faculty of Medicine, University of Sydney, Sydney, NSW, Australia
| | - Svetlana Postnova
- School of Physics, Faculty of Science, University of Sydney, Sydney, NSW, Australia
- ARC Centre of Excellence for Integrative Brain Function, University of Sydney, Sydney, Australia
| | - Christopher B. Miller
- CIRUS, Centre for Sleep and Chronobiology, Woolcock Institute of Medical Research, Sydney, NSW, Australia
| | - Dibyendu Roy
- School of Physics, Faculty of Science, University of Sydney, Sydney, NSW, Australia
| | - Delwyn J. Bartlett
- CIRUS, Centre for Sleep and Chronobiology, Woolcock Institute of Medical Research, Sydney, NSW, Australia
- Central Clinical School, Faculty of Medicine, University of Sydney, Sydney, NSW, Australia
| | - Ronald R. Grunstein
- CIRUS, Centre for Sleep and Chronobiology, Woolcock Institute of Medical Research, Sydney, NSW, Australia
- Central Clinical School, Faculty of Medicine, University of Sydney, Sydney, NSW, Australia
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14
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Abeysuriya RG, Lockley SW, Robinson PA, Postnova S. A unified model of melatonin, 6-sulfatoxymelatonin, and sleep dynamics. J Pineal Res 2018; 64:e12474. [PMID: 29437238 DOI: 10.1111/jpi.12474] [Citation(s) in RCA: 62] [Impact Index Per Article: 10.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 12/29/2017] [Accepted: 01/26/2018] [Indexed: 11/30/2022]
Abstract
A biophysical model of the key aspects of melatonin synthesis and excretion has been developed, which is able to predict experimental dynamics of melatonin in plasma and saliva, and of its urinary metabolite 6-sulfatoxymelatonin (aMT6s). This new model is coupled to an established model of arousal dynamics, which predicts sleep and circadian dynamics based on light exposure and times of wakefulness. The combined model thus predicts melatonin levels over the sleep-wake/dark-light cycle and enables prediction of melatonin-based circadian phase markers, such as dim light melatonin onset (DLMO) and aMT6s acrophase under conditions of normal sleep and circadian misalignment. The model is calibrated and tested against group average data from 10 published experimental studies and is found to reproduce quantitatively the key dynamics of melatonin and aMT6s, including the timing of release and amplitude, as well as response to controlled lighting and shift work.
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Affiliation(s)
- Romesh G Abeysuriya
- School of Physics, University of Sydney, Sydney, NSW, Australia
- Cooperative Research Centre for Alertness, Safety and Productivity, Melbourne, Vic., Australia
- Department of Psychiatry, Oxford Centre for Human Brain Activity, University of Oxford, Oxford, UK
| | - Steven W Lockley
- Cooperative Research Centre for Alertness, Safety and Productivity, Melbourne, Vic., Australia
- Monash Institute for Cognitive and Clinical Neurosciences, School of Psychological Sciences, Monash University, Melbourne, Vic., Australia
| | - Peter A Robinson
- School of Physics, University of Sydney, Sydney, NSW, Australia
- Cooperative Research Centre for Alertness, Safety and Productivity, Melbourne, Vic., Australia
- NHMRC Centre for Translational Sleep and Circadian Neurobiology (NeuroSleep), Sydney, NSW, Australia
- ARC Centre of Excellence for Integrative Brain Functions, University of Sydney, Sydney, NSW, Australia
| | - Svetlana Postnova
- School of Physics, University of Sydney, Sydney, NSW, Australia
- Cooperative Research Centre for Alertness, Safety and Productivity, Melbourne, Vic., Australia
- ARC Centre of Excellence for Integrative Brain Functions, University of Sydney, Sydney, NSW, Australia
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15
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Rempe MJ, Grønli J, Pedersen TT, Mrdalj J, Marti A, Meerlo P, Wisor JP. Mathematical modeling of sleep state dynamics in a rodent model of shift work. Neurobiol Sleep Circadian Rhythms 2018; 5:37-51. [PMID: 31236510 PMCID: PMC6584688 DOI: 10.1016/j.nbscr.2018.04.002] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/30/2017] [Revised: 04/19/2018] [Accepted: 04/20/2018] [Indexed: 01/12/2023] Open
Abstract
Millions of people worldwide are required to work when their physiology is tuned for sleep. By forcing wakefulness out of the body’s normal schedule, shift workers face numerous adverse health consequences, including gastrointestinal problems, sleep problems, and higher rates of some diseases, including cancers. Recent studies have developed protocols to simulate shift work in rodents with the intention of assessing the effects of night-shift work on subsequent sleep (Grønli et al., 2017). These studies have already provided important contributions to the understanding of the metabolic consequences of shift work (Arble et al., 2015; Marti et al., 2016; Opperhuizen et al., 2015) and sleep-wake-specific impacts of night-shift work (Grønli et al., 2017). However, our understanding of the causal mechanisms underlying night-shift-related sleep disturbances is limited. In order to advance toward a mechanistic understanding of sleep disruption in shift work, we model these data with two different approaches. First we apply a simple homeostatic model to quantify differences in the rates at which sleep need, as measured by slow wave activity during slow wave sleep (SWS) rises and falls. Second, we develop a simple and novel mathematical model of rodent sleep and use it to investigate the timing of sleep in a simulated shift work protocol (Grønli et al., 2017). This mathematical framework includes the circadian and homeostatic processes of the two-process model, but additionally incorporates a stochastic process to model the polyphasic nature of rodent sleep. By changing only the time at which the rodents are forced to be awake, the model reproduces some key experimental results from the previous study, including correct proportions of time spent in each stage of sleep as a function of circadian time and the differences in total wake time and SWS bout durations in the rodents representing night-shift workers and those representing day-shift workers. Importantly, the model allows for deeper insight into circadian and homeostatic influences on sleep timing, as it demonstrates that the differences in SWS bout duration between rodents in the two shifts is largely a circadian effect. Our study shows the importance of mathematical modeling in uncovering mechanisms behind shift work sleep disturbances and it begins to lay a foundation for future mathematical modeling of sleep in rodents. Millions of people worldwide are required to work when their physiology is tuned for sleep. Enforcing wakefulness during this time leads to numerous adverse health consequences including sleep problems and higher rates of some diseases. Rodent models of shift work have illuminated some of the effects of night shift work on subsequent sleep. This study uses mathematical modeling to accurately simulate rodent sleep during baseline and shift work conditions. A simple mathematical framework can help us understand possible mechanisms underlying the sleep disturbances seen in shift work.
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Affiliation(s)
- Michael J Rempe
- Sleep and Performance Research Center, Washington State University, Spokane, WA, USA.,Dept. of Mathematics and Computer Science, Whitworth University, Spokane, WA, USA
| | - Janne Grønli
- Sleep and Performance Research Center, Washington State University, Spokane, WA, USA.,Department of Biological and Medical Psychology, University of Bergen, Bergen, Norway
| | - Torhild Thue Pedersen
- Department of Biological and Medical Psychology, University of Bergen, Bergen, Norway
| | - Jelena Mrdalj
- Department of Biological and Medical Psychology, University of Bergen, Bergen, Norway
| | - Andrea Marti
- Department of Biological and Medical Psychology, University of Bergen, Bergen, Norway
| | - Peter Meerlo
- Groningen Institute for Evolutionary Life Sciences, University of Groningen, Groningen, The Netherlands
| | - Jonathan P Wisor
- Sleep and Performance Research Center, Washington State University, Spokane, WA, USA.,Elson S. Floyd College of Medicine, Washington State University, Spokane, WA, USA
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16
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Postnova S, Lockley SW, Robinson PA. Prediction of Cognitive Performance and Subjective Sleepiness Using a Model of Arousal Dynamics. J Biol Rhythms 2018; 33:203-218. [DOI: 10.1177/0748730418758454] [Citation(s) in RCA: 20] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/16/2023]
Affiliation(s)
- Svetlana Postnova
- School of Physics, University of Sydney, Sydney, Australia
- Cooperative Research Centre for Alertness, Safety, and Productivity, Melbourne, Australia
- Centre of Excellence for Integrative Brain Function, University of Sydney, Sydney, Australia
| | - Steven W. Lockley
- Cooperative Research Centre for Alertness, Safety, and Productivity, Melbourne, Australia
- Monash Institute of Cognitive and Clinical Neurosciences, School of Psychological Sciences, Monash University, Melbourne, Australia
- Centre for Translational Sleep and Circadian Neurobiology, University of Sydney, Sydney, Australia
| | - Peter A. Robinson
- School of Physics, University of Sydney, Sydney, Australia
- Cooperative Research Centre for Alertness, Safety, and Productivity, Melbourne, Australia
- Centre of Excellence for Integrative Brain Function, University of Sydney, Sydney, Australia
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17
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James FO, Waggoner LB, Weiss PM, Patterson PD, Higgins JS, Lang ES, Van Dongen HPA. Does Implementation of Biomathematical Models Mitigate Fatigue and Fatigue-related Risks in Emergency Medical Services Operations? A Systematic Review. PREHOSP EMERG CARE 2018; 22:69-80. [DOI: 10.1080/10903127.2017.1384875] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/01/2023]
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18
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Patterson PD, Higgins JS, Van Dongen HPA, Buysse DJ, Thackery RW, Kupas DF, Becker DS, Dean BE, Lindbeck GH, Guyette FX, Penner JH, Violanti JM, Lang ES, Martin-Gill C. Evidence-Based Guidelines for Fatigue Risk Management in Emergency Medical Services. PREHOSP EMERG CARE 2018; 22:89-101. [DOI: 10.1080/10903127.2017.1376137] [Citation(s) in RCA: 33] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
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19
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Skeldon AC, Phillips AJK, Dijk DJ. The effects of self-selected light-dark cycles and social constraints on human sleep and circadian timing: a modeling approach. Sci Rep 2017; 7:45158. [PMID: 28345624 PMCID: PMC5366875 DOI: 10.1038/srep45158] [Citation(s) in RCA: 90] [Impact Index Per Article: 12.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/16/2016] [Accepted: 02/21/2017] [Indexed: 11/24/2022] Open
Abstract
Why do we go to sleep late and struggle to wake up on time? Historically, light-dark cycles were dictated by the solar day, but now humans can extend light exposure by switching on artificial lights. We use a mathematical model incorporating effects of light, circadian rhythmicity and sleep homeostasis to provide a quantitative theoretical framework to understand effects of modern patterns of light consumption on the human circadian system. The model shows that without artificial light humans wakeup at dawn. Artificial light delays circadian rhythmicity and preferred sleep timing and compromises synchronisation to the solar day when wake-times are not enforced. When wake-times are enforced by social constraints, such as work or school, artificial light induces a mismatch between sleep timing and circadian rhythmicity ('social jet-lag'). The model implies that developmental changes in sleep homeostasis and circadian amplitude make adolescents particularly sensitive to effects of light consumption. The model predicts that ameliorating social jet-lag is more effectively achieved by reducing evening light consumption than by delaying social constraints, particularly in individuals with slow circadian clocks or when imposed wake-times occur after sunrise. These theory-informed predictions may aid design of interventions to prevent and treat circadian rhythm-sleep disorders and social jet-lag.
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Affiliation(s)
- Anne C. Skeldon
- University of Surrey, Department of Mathematics, Guildford, GU2 7XH, UK
| | - Andrew J. K. Phillips
- Harvard Medical School, Division of Sleep and Circadian Disorders, Brigham and Women’s Hospital, USA
| | - Derk-Jan Dijk
- University of Surrey, Surrey Sleep Research Centre, Guildford, GU2 7XP, UK
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20
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Skeldon AC, Derks G, Dijk DJ. Modelling changes in sleep timing and duration across the lifespan: Changes in circadian rhythmicity or sleep homeostasis? Sleep Med Rev 2016; 28:96-107. [DOI: 10.1016/j.smrv.2015.05.011] [Citation(s) in RCA: 89] [Impact Index Per Article: 11.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/12/2015] [Revised: 05/27/2015] [Accepted: 05/28/2015] [Indexed: 12/20/2022]
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21
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Postnova S, Lockley SW, Robinson PA. Sleep Propensity under Forced Desynchrony in a Model of Arousal State Dynamics. J Biol Rhythms 2016; 31:498-508. [DOI: 10.1177/0748730416658806] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
An improvement to our current quantitative model of arousal state dynamics is presented that more accurately predicts sleep propensity as measured with sleep dynamics depending on circadian phase and prior wakefulness. A nonlinear relationship between the circadian variables within the dynamic circadian oscillator model is introduced to account for the skewed shape of the circadian rhythm of alertness that peaks just prior to the onset of the biological night (the “wake maintenance zone”) and has a minimum toward the end of the biological night. The revised circadian drive thus provides a strong inhibitory input to the sleep-active neuronal population in the evening, counteracting the excitatory effects of the increased homeostatic sleep drive as originally proposed in the opponent process model of sleep-wake regulation. The revised model successfully predicts the sleep propensity profile as reflected in the dynamics of the total sleep time, sleep onset latency, wake/sleep ratio, and sleep efficiency during a wide range of experimental protocols. Specifically, all of these sleep measures are predicted for forced desynchrony schedules with day lengths ranging from 1.5 to 42.85 h and scheduled time in bed from 0.5 to 14.27 h. The revised model is expected to facilitate more accurate predictions of sleep under normal conditions as well as during circadian misalignment, for example, during shiftwork and jetlag.
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Affiliation(s)
- Svetlana Postnova
- School of Physics, University of Sydney, New South Wales, Australia
- Cooperative Research Centre for Alertness, Safety, and Productivity, Melbourne, Australia
- Centre of Excellence for Integrative Brain Function, University of Sydney, New South Wales, Australia
| | - Steven W. Lockley
- Cooperative Research Centre for Alertness, Safety, and Productivity, Melbourne, Australia
- Monash Institute of Cognitive and Clinical Neurosciences, School of Psychological Sciences, Monash University, Victoria, Australia
- Centre for Translational Sleep and Circadian Neurobiology, Monash University, Victoria, Australia
| | - Peter A. Robinson
- School of Physics, University of Sydney, New South Wales, Australia
- Cooperative Research Centre for Alertness, Safety, and Productivity, Melbourne, Australia
- Centre of Excellence for Integrative Brain Function, University of Sydney, New South Wales, Australia
- Centre for Translational Sleep and Circadian Neurobiology, University of Sydney, New South Wales, Australia
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22
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A Multiscale “Working Brain” Model. VALIDATING NEURO-COMPUTATIONAL MODELS OF NEUROLOGICAL AND PSYCHIATRIC DISORDERS 2015. [DOI: 10.1007/978-3-319-20037-8_5] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/17/2022]
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23
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Physiologically-based modeling of sleep-wake regulatory networks. Math Biosci 2014; 250:54-68. [PMID: 24530893 DOI: 10.1016/j.mbs.2014.01.012] [Citation(s) in RCA: 36] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/19/2013] [Revised: 01/23/2014] [Accepted: 01/31/2014] [Indexed: 12/27/2022]
Abstract
Mathematical modeling has played a significant role in building our understanding of sleep-wake and circadian behavior. Over the past 40 years, phenomenological models, including the two-process model and oscillator models, helped frame experimental results and guide progress in understanding the interaction of homeostatic and circadian influences on sleep and understanding the generation of rapid eye movement sleep cycling. Recent advances in the clarification of the neural anatomy and physiology involved in the regulation of sleep and circadian rhythms have motivated the development of more detailed and physiologically-based mathematical models that extend the approach introduced by the classical reciprocal-interaction model. Using mathematical formalisms developed in the field of computational neuroscience to model neuronal population activity, these models investigate the dynamics of proposed conceptual models of sleep-wake regulatory networks with a focus on generating appropriate sleep and wake state transition patterns as well as simulating disease states and experimental protocols. In this review, we discuss several recent physiologically-based mathematical models of sleep-wake regulatory networks. We identify common features among these models in their network structures, model dynamics and approaches for model validation. We describe how the model analysis technique of fast-slow decomposition, which exploits the naturally occurring multiple timescales of sleep-wake behavior, can be applied to understand model dynamics in these networks. Our purpose in identifying commonalities among these models is to propel understanding of both the mathematical models and their underlying conceptual models, and focus directions for future experimental and theoretical work.
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24
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Postnova S, Postnov DD, Seneviratne M, Robinson PA. Effects of Rotation Interval on Sleepiness and Circadian Dynamics on Forward Rotating 3-Shift Systems. J Biol Rhythms 2014; 29:60-70. [DOI: 10.1177/0748730413516837] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
A physiologically based mathematical model of sleep-wake cycles is used to examine the effects of shift rotation interval (RI) (i.e., the number of days spent on each shift) on sleepiness and circadian dynamics on forward rotating 3-shift schedules. The effects of the schedule start time on the mean shift sleepiness are also demonstrated but are weak compared to the effects of RI. The dynamics are studied for a parameter set adjusted to match a most common natural sleep pattern (i.e., sleep between 0000 and 0800) and for common light conditions (i.e., 350 lux of shift lighting, 200 lux of daylight, 100 lux of artificial lighting during nighttime, and 0 lux during sleep). Mean shift sleepiness on a rotating schedule is found to increase with RI, reach maximum at intermediate RI=6 d, and then decrease. Complete entrainment to shifts within the schedules is not achieved at RI≤10 d. However, circadian oscillations synchronize to the rotation cycles, with RI=1,2 d and RI≥6 d demonstrating regular periodic changes of the circadian rhythm. At rapid rotation, circadian phase stays within a small 4-h interval, whereas slow rotation leads to around-the-clock transitions of the circadian phase with constantly delayed sleep times. Schedules with RI=3-5 d are not able to entrain the circadian rhythms, even in the absence of external circadian disturbances like social commitments and days off. To understand the circadian dynamics on the rotating shift schedules, a shift response map is developed, showing the direction of circadian change (i.e., delay or advance) depending on the relation between the shift start time and actual circadian phase. The map predicts that the un-entrained dynamics come from multiple transitions between advance and delay behavior on the shifts in the schedules. These are primarily caused by the imbalance between the amount of delay and advance on the different shift types within the schedule. Finally, it is argued that shift response maps can aid in the development of shift schedules with desired circadian characteristics.
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Affiliation(s)
- Svetlana Postnova
- School of Physics, The University of Sydney, Sydney, Australia
- Center for Integrated Research and Understanding of Sleep (CIRUS), The University of Sydney, Sydney, Australia
| | - Dmitry D. Postnov
- School of Physics, Saratov State University, Saratov, Russia
- Department of Biomedical Sciences, The University of Copenhagen, Copenhagen, Denmark
| | | | - Peter A. Robinson
- School of Physics, The University of Sydney, Sydney, Australia
- Center for Integrated Research and Understanding of Sleep (CIRUS), The University of Sydney, Sydney, Australia
- Brain Dynamics Center, The University of Sydney, Sydney, Australia
- Cooperative Research Center for Alertness, Safety and Productivity (CRC ASP), The University of Sydney, Sydney, Australia
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25
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McCauley P, Kalachev LV, Mollicone DJ, Banks S, Dinges DF, Van Dongen HPA. Dynamic circadian modulation in a biomathematical model for the effects of sleep and sleep loss on waking neurobehavioral performance. Sleep 2013; 36:1987-97. [PMID: 24293775 DOI: 10.5665/sleep.3246] [Citation(s) in RCA: 65] [Impact Index Per Article: 5.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022] Open
Abstract
Recent experimental observations and theoretical advances have indicated that the homeostatic equilibrium for sleep/wake regulation--and thereby sensitivity to neurobehavioral impairment from sleep loss--is modulated by prior sleep/wake history. This phenomenon was predicted by a biomathematical model developed to explain changes in neurobehavioral performance across days in laboratory studies of total sleep deprivation and sustained sleep restriction. The present paper focuses on the dynamics of neurobehavioral performance within days in this biomathematical model of fatigue. Without increasing the number of model parameters, the model was updated by incorporating time-dependence in the amplitude of the circadian modulation of performance. The updated model was calibrated using a large dataset from three laboratory experiments on psychomotor vigilance test (PVT) performance, under conditions of sleep loss and circadian misalignment; and validated using another large dataset from three different laboratory experiments. The time-dependence of circadian amplitude resulted in improved goodness-of-fit in night shift schedules, nap sleep scenarios, and recovery from prior sleep loss. The updated model predicts that the homeostatic equilibrium for sleep/wake regulation--and thus sensitivity to sleep loss--depends not only on the duration but also on the circadian timing of prior sleep. This novel theoretical insight has important implications for predicting operator alertness during work schedules involving circadian misalignment such as night shift work.
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Affiliation(s)
- Peter McCauley
- Sleep and Performance Research Center, Washington State University, Spokane, WA ; Department of Mathematical Sciences, University of Montana, Missoula, MT
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26
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Gleit RD, Diniz Behn CG, Booth V. Modeling Interindividual Differences in Spontaneous Internal Desynchrony Patterns. J Biol Rhythms 2013; 28:339-55. [DOI: 10.1177/0748730413504277] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
Abstract
A physiologically based mathematical model of a putative sleep-wake regulatory network is used to investigate the transition from typical human sleep patterns to spontaneous internal desynchrony behavior observed under temporal isolation conditions. The model sleep-wake regulatory network describes the neurotransmitter-mediated interactions among brainstem and hypothalamic neuronal populations that participate in the transitions between wake, rapid eye movement (REM) sleep, and non-REM (NREM) sleep. Physiologically based interactions among these sleep-wake centers and the suprachiasmatic nucleus (SCN), whose activity is driven by an established circadian oscillator model, mediate circadian modulation of sleep-wake behavior. When the sleep-wake and circadian rhythms are synchronized, the model simulates stereotypically normal human sleep-wake behavior within the limits of individual variation, including typical NREM-REM cycling across the night. When effects of temporal isolation are simulated by increasing the period of the sleep-wake cycle, the model replicates spontaneous internal desynchrony with the appropriate dependence of multiple features of REM sleep on circadian phase. In temporal isolation experiments, subjects have exhibited different desynchronized sleep-wake behaviors. Our model can generate similar ranges of desynchronized behaviors by variations in the period of the sleep-wake cycle and the strength of interactions between the SCN and the sleep-wake centers. Analysis of the model suggests that similar mechanisms underlie several different desynchronized behaviors and that the phenomenon of phase trapping may be dependent on SCN modulation of REM sleep-promoting centers. These results provide predictions for physiologically plausible mechanisms underlying interindividual variations in sleep-wake behavior observed during temporal isolation experiments.
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Affiliation(s)
- Rebecca D. Gleit
- Department of Mathematics, University of Michigan, Ann Arbor, MI
| | - Cecilia G. Diniz Behn
- Department of Applied Mathematics and Statistics, Colorado School of Mines, Golden, CO
| | - Victoria Booth
- Department of Mathematics, University of Michigan, Ann Arbor, MI
- Department of Anesthesiology, University of Michigan, Ann Arbor, MI
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27
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Brager AJ, Ehlen JC, Castanon-Cervantes O, Natarajan D, Delisser P, Davidson AJ, Paul KN. Sleep loss and the inflammatory response in mice under chronic environmental circadian disruption. PLoS One 2013; 8:e63752. [PMID: 23696854 PMCID: PMC3656961 DOI: 10.1371/journal.pone.0063752] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/26/2013] [Accepted: 04/04/2013] [Indexed: 12/22/2022] Open
Abstract
Shift work and trans-time zone travel lead to insufficient sleep and numerous pathologies. Here, we examined sleep/wake dynamics during chronic exposure to environmental circadian disruption (ECD), and if chronic partial sleep loss associated with ECD influences the induction of shift-related inflammatory disorder. Sleep and wakefulness were telemetrically recorded across three months of ECD, in which the dark-phase of a light-dark cycle was advanced weekly by 6 h. A three month regimen of ECD caused a temporary reorganization of sleep (NREM and REM) and wake processes across each week, resulting in an approximately 10% net loss of sleep each week relative to baseline levels. A separate group of mice were subjected to ECD or a regimen of imposed wakefulness (IW) aimed to mimic sleep amounts under ECD for one month. Fos-immunoreactivity (IR) was quantified in sleep-wake regulatory areas: the nucleus accumbens (NAc), basal forebrain (BF), and medial preoptic area (MnPO). To assess the inflammatory response, trunk blood was treated with lipopolysaccharide (LPS) and subsequent release of IL-6 was measured. Fos-IR was greatest in the NAc, BF, and MnPO of mice subjected to IW. The inflammatory response to LPS was elevated in mice subjected to ECD, but not mice subjected to IW. Thus, the net sleep loss that occurs under ECD is not associated with a pathological immune response.
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Affiliation(s)
- Allison J. Brager
- Department of Neurobiology, Morehouse School of Medicine, Atlanta, Georgia, United States of America
| | - J. Christopher Ehlen
- Department of Neurobiology, Morehouse School of Medicine, Atlanta, Georgia, United States of America
| | - Oscar Castanon-Cervantes
- Department of Neurobiology, Morehouse School of Medicine, Atlanta, Georgia, United States of America
| | - Divya Natarajan
- Department of Neurobiology, Morehouse School of Medicine, Atlanta, Georgia, United States of America
| | - Patrick Delisser
- Department of Neurobiology, Morehouse School of Medicine, Atlanta, Georgia, United States of America
| | - Alec J. Davidson
- Department of Neurobiology, Morehouse School of Medicine, Atlanta, Georgia, United States of America
| | - Ketema N. Paul
- Department of Neurobiology, Morehouse School of Medicine, Atlanta, Georgia, United States of America
- * E-mail:
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28
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Postnova S, Robinson PA, Postnov DD. Adaptation to shift work: physiologically based modeling of the effects of lighting and shifts' start time. PLoS One 2013; 8:e53379. [PMID: 23308206 PMCID: PMC3537665 DOI: 10.1371/journal.pone.0053379] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/18/2012] [Accepted: 11/30/2012] [Indexed: 11/19/2022] Open
Abstract
Shift work has become an integral part of our life with almost 20% of the population being involved in different shift schedules in developed countries. However, the atypical work times, especially the night shifts, are associated with reduced quality and quantity of sleep that leads to increase of sleepiness often culminating in accidents. It has been demonstrated that shift workers’ sleepiness can be improved by a proper scheduling of light exposure and optimizing shifts timing. Here, an integrated physiologically-based model of sleep-wake cycles is used to predict adaptation to shift work in different light conditions and for different shift start times for a schedule of four consecutive days of work. The integrated model combines a model of the ascending arousal system in the brain that controls the sleep-wake switch and a human circadian pacemaker model. To validate the application of the integrated model and demonstrate its utility, its dynamics are adjusted to achieve a fit to published experimental results showing adaptation of night shift workers (n = 8) in conditions of either bright or regular lighting. Further, the model is used to predict the shift workers’ adaptation to the same shift schedule, but for conditions not considered in the experiment. The model demonstrates that the intensity of shift light can be reduced fourfold from that used in the experiment and still produce good adaptation to night work. The model predicts that sleepiness of the workers during night shifts on a protocol with either bright or regular lighting can be significantly improved by starting the shift earlier in the night, e.g.; at 21∶00 instead of 00∶00. Finally, the study predicts that people of the same chronotype, i.e. with identical sleep times in normal conditions, can have drastically different responses to shift work depending on their intrinsic circadian and homeostatic parameters.
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Affiliation(s)
- Svetlana Postnova
- School of Physics, The University of Sydney, Sydney, New South Wales, Australia.
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29
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Impulse dynamics of coupled synchronous neurons. BMC Neurosci 2012. [PMCID: PMC3403272 DOI: 10.1186/1471-2202-13-s1-p102] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022] Open
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