Summary: A new study shows how mathematics helps to explain why babies do not take a nap erratically, teenagers are awake late and older adults wake up before. The researchers expanded the classic dream model of two processes by adding the effects of light exposure, discovering how internal and external factors interact to regulate sleep.
The simulations revealed that modern interior light environments interrupt the delicate balance between brain sleep pressure, body clock and light signs. These findings point to more personalized and practical solutions to improve sleep for all ages.
Key facts:
New model: combines sleep pressure, body clock and light effects in a frame. Vision of Life Escapación: Explain the peculiarities of sleep in babies, teenagers and older adults.
Source: Surrey University
I wonder why babies take a nap in some days but not in others? Or why the elderly wake up before?
The mathematical modeling of sleep regulation provides some surprising answers to these and other questions, according to a new study by the University of Surrey.
In an article published in Biological Timing and Sleep, the researchers analyzed the mathematical structure of the two processes (2 pm) model of sleep regulation, which was first proposed in the 1980s.
The 2pm explains how our sleep patterns are formed by two factors: a sleeping pressure that accumulates the more we are awake and decreases during sleep, and the rhythm close to 24 hours of our internal body of the body.
Surrey’s research team used mathematics to show how 2pm reflect what happens in the brain as people change between sleep and vigil. They showed that the 2pm helps explain why babies in some stages of development take a nap in a few days and not in others, a phenomenon known as the “devil’s staircase” for the theorists of the oscillator. And that the same model can explain sleep patterns in non -human species.
The research team also combined the mathematics of the change of sleep-vigilia with the mathematics of the effects of light on the biological clock. This integrated model helps to explain how many phenomena of sleep are caused by a combination of internal physiological processes and the environment. For example, the model helps to explain why teenagers tend to fall asleep and get up later than younger children.
A slower increase in sleep pressure during vigil means that they can remain awake and exposure to bright light at night can push the dream even further back. The model also offers new ways of thinking about other common patterns.
A surprising finding is that awakening before as we age may not be driven mainly by changes in the body’s clock, as is often supposed to. Instead, it could result from how the different systems that control interact sleep, and how those interactions change with age, the environment and individual biology.
The team’s work shows that this lighter 2pm model offers a way of understanding why some people find it difficult to wake up early or sleep at socially expected moments, not because their body clock is broken, but because its environment or biology (light) pushes their dream later.
Professor Anne Skeldon, director of the School of Mathematics at the University of Surrey and main author of the study, said:
“This model gives us the hope that sleep problems can be better understood and approached. By using mathematics, we can see how small changes in light, routine or biology change our dream and try practical ways of better supporting sleep for all. It is a step towards more personalized and effective solutions that improve people’s daily lives.”
Using mathematics, researchers were able to show that the lighter 2pm model behaves as a system of nonlinear oscillator: a sleep-vigilia oscillator, the oscillations of the body’s clock and the dark light pattern that reaches our brain through our eyes.
They explain how the Sleep-Vigilia oscillator generally does not follow a 24-hour pattern, but it is the interaction with the body of the body and the light -scurity pattern that keeps us aligned with the day-to-day night cycle through a process known as drag.
To further explore how these oscillations interact, researchers have executed mathematical simulations using the more 2pm light model. These simulations suggest that living within most of the day and keeping the lights on at night interrupts the oscillator system, interrupting our dream.
These simulations allowed them to predict a variety of behaviors, such as changing sleep after exposure to night light or finding that it is difficult to sleep regularly.
Professor Derk-Jan Dijk, co-author of the study and director of the Surrey Dream Research Center at the University of Surrey, said:
“This work shows how mathematics can bring clarity to something as complex and personal as sleep. With the correct data and models, we can give more personalized advice and develop innovative interventions to improve sleep patterns for those whose rest is affected by modern routines, aging or health conditions.”
About this news of mathematical modeling and sleep research
Author: Dalitso Njolinjo
Source: Surrey University
Contact: Dalithso Njolinjo – University of Surrey
Image: The image is accredited to Neuroscience News
Original research: open access.
“The complexity and community of the sleep regulation model of two processes from a mathematical perspective” by Anne Skeldon et al. NPJ Biological Time and Dream
Abstract
The complexity and community of the sleep regulation model of two processes from a mathematical perspective
The two processes model (2pm) of sleep regulation is a conceptual framework and consists of mathematical equations. Share similarities with models for heart, respiratory and neuronal rhythms and falls within the widest class of coupled oscillator models. The 2pm is related to neuronal mutual inhibition models of sleep-vigilia regulation.
The mathematical structure of the 2pm, in which the sleep-vigilia cycle is taken to the circadian pacemaker, explains sleep patterns in the absence of 24 h time signals, in different species and in early childhood.
The extension of the 2pm with a process that describes the response of the circadian pacemaker to the light creates a hierarchical drag system with feedback that allows the quantitative modeling of the effect of self -deleted light on sleep and circadian time.
The extended 2pm provides new interpretations of sleep phenotypes and provides quantitative predictions of the effects of sleep and light interventions to support sleep and circadian alignment in individuals, including those with neurodegenerative disorders.