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Related papers: A Mathematical Approach to the Sleep-Waking Cycle

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Sleep is essential for the maintenance of the brain and the body, yet many features of sleep are poorly understood and mathematical models are an important tool for probing proposed biological mechanisms. The most well-known mathematical…

Neurons and Cognition · Quantitative Biology 2015-06-17 Anne C. Skeldon , Derk-Jan Dijk , Gianne Derks

Sleep is commonly studied through neurochemical, evolutionary, and behavioral frameworks, typically emphasizing circadian rhythms and energy conservation. However, these approaches do not fully explain a deeper biophysical question: why…

Other Quantitative Biology · Quantitative Biology 2025-06-18 Brathikan Vijayamohan Mankayarkarasi

A biophysical model of arousal dynamics is used to study mechanisms of synchronisation and loss of synchrony among the three key oscillators controlling sleep-wake cycles: the circadian, homeostatic, and light oscillators. Synchronisation…

Biological Physics · Physics 2021-01-22 Dmitry E. Postnov , Ksenia O. Merkulova , Svetlana Postnova

Sleep is one of the most noticeable and widespread phenomena occurring in multicellular animals. Nevertheless, no consensus for a theory of its origins has emerged. In particular, no explicit, quantitative theory exists that elucidates or…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Van M. Savage , Geoffrey B. West

There are two contrasting explanations of sleep: as a proximate, essential physiological function or as an adaptive state of inactivity and these hypotheses remain widely debated. To investigate the adaptive significance of sleep, we…

Populations and Evolution · Quantitative Biology 2016-10-04 Jared M. Field , Michael B. Bonsall

A number of studies have concluded that dreaming is mostly caused by randomly arriving internal signals because "dream contents are random impulses", and argued that dream sleep is unlikely to play an important part in our intellectual…

Neurons and Cognition · Quantitative Biology 2026-02-05 Qi Zhang

Differential equation-based physiological models of sleep-wake networks describe sleep-wake regulation by simulating the activity of wake- and sleep-promoting neuronal populations and the modulation of these populations by homeostatic and…

Dynamical Systems · Mathematics 2021-11-16 Christina Athanasouli , Sofia H. Piltz , Cecilia Diniz Behn , Victoria Booth

Slow-wave sleep in mammalians is characterized by a change of large-scale cortical activity currently paraphrased as cortical Up/Down states. A recent experiment demonstrated a bistable collective behaviour in ferret slices, with the…

Neurons and Cognition · Quantitative Biology 2012-06-12 Hong-Viet V. Ngo , Jan Köhler , Jörg Mayer , Jens Christian Claussen , Heinz Georg Schuster

Learning new tasks and skills in succession without losing prior learning (i.e., catastrophic forgetting) is a computational challenge for both artificial and biological neural networks, yet artificial systems struggle to achieve parity…

Neural and Evolutionary Computing · Computer Science 2022-09-13 Brian S. Robinson , Clare W. Lau , Alexander New , Shane M. Nichols , Erik C. Johnson , Michael Wolmetz , William G. Coon

Information processing in the brain requires integration of information over time. Such an integration can be achieved if signals are maintained in the network activity for the required period, as quantified by the intrinsic timescale.…

Temporal resolution of visual information processing is thought to be an important factor in predator-prey interactions, shaped in the course of evolution by animals' ecology. Here I show that light can be considered to have a dual role of…

Neurons and Cognition · Quantitative Biology 2019-10-25 Bartosz Jura

A model and analysis of the human sleep/wake system is presented. The model is derived using the known neuronal groups, and their various projections, involved with sleep and wake. Inherent in the derivation is the existence of a slow time…

Dynamical Systems · Mathematics 2012-08-17 Lisa Rogers , Mark Holmes

We study the dynamics of the awakening during the night for healthy subjects and find that the wake and the sleep periods exhibit completely different behavior: the durations of wake periods are characterized by a scale-free power-law…

Sleep constitutes a key indicator of human health, performance, and quality of life. Sleep deprivation has long been related to the onset, development, and worsening of several mental and metabolic disorders, constituting an essential…

Signal Processing · Electrical Eng. & Systems 2023-01-25 María Martínez-García , Fernando Moreno-Pino , Pablo M. Olmos , Antonio Artés-Rodríguez

Loss of cortical integration and changes in the dynamics of electrophysiological brain signals characterize the transition from wakefulness towards unconsciousness. The common mechanism underlying these observations remains unknown. In this…

A measurement based formula for consciousness, C, as a function of time t, is constructed. The formula depends on identifying a natural relevant self-generated, time-dependent dynamical process inherent in any entity. For human beings the…

Neurons and Cognition · Quantitative Biology 2018-02-28 Siddhartha Sen

The experimental study of neural networks requires simultaneous measurements of a massive number of neurons, while monitoring properties of the connectivity, synaptic strengths and delays. Current technological barriers make such a mission…

Neurons and Cognition · Quantitative Biology 2016-01-12 Amir Goldental , Pinhas Sabo , Shira Sardi , Roni Vardi , Ido Kanter

This paper presents a hypothesis that consciousness is a natural result of neurons that become connected recursively, and work synchronously between short and long term memories. Such neurons demonstrate qubit-like properties, each…

Neurons and Cognition · Quantitative Biology 2016-08-26 John Robert Burger

Rehearsal is one of the key techniques for mitigating catastrophic forgetting and has been widely adopted in continual learning algorithms due to its simplicity and practicality. However, the theoretical understanding of how rehearsal scale…

Machine Learning · Computer Science 2026-02-25 JinLi He , Liang Bai , Xian Yang

The occurrence of sleep passed through the evolutionary sieve and is widespread in animal species. Sleep is known to be beneficial to cognitive and mnemonic tasks, while chronic sleep deprivation is detrimental. Despite the importance of…

Neurons and Cognition · Quantitative Biology 2019-11-19 Cristiano Capone , Elena Pastorelli , Bruno Golosio , Pier Stanislao Paolucci
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