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Theoretical Neuroscience and Mathematics of Nonequilibrium Systems Group
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Solving the mysteries of the brain and rhythms with nonequilibrium mathematics.
AboutAbout the lab
Complexity born from collections of simple elements
The Nonlinear Physics Division studies complex phenomena that appear in living and social systems, such as the nervous system of the brain, networks of people and cities, and molecular motors.
Using methods such as nonequilibrium physics, statistical mechanics, nonlinear dynamics, chaotic dynamics, and the theory of stochastic processes, it aims to model and understand the underlying mathematical structures.
This is the Theoretical Neuroscience and Mathematics of Nonequilibrium Systems Group of Professor Aoyagi, Professor Teramae, and Assistant Professor Tutu. Faculty of the division carry out research and education together across groups.
Key terms
- Nonlinear
- A property in which cause and effect are not proportional. A small difference can sometimes produce a large difference
- Entrainment
- A phenomenon in which multiple rhythms influence one another and fall into the same tempo (synchronization)
- Stochastic resonance
- A phenomenon in which the presence of noise (fluctuations) actually makes a system more responsive to weak signals
ResearchResearch themes
From the perspective of nonlinear dynamics and nonequilibrium statistical mechanics, the group uses mathematical models to study cooperative phenomena among many elements on networks and the transitions of many rhythms between synchrony and asynchrony.
*Illustrative imageEntrainment: Rhythms Falling into Step
Rhythms are periodic activities that appear widely in physics, life, and society. Just as two pendulum clocks hung on a wall come into step, the group uses mathematical models to study the entrainment transition, in which multiple rhythms synchronize.
*Illustrative imagePrinciples of Learning and Information Processing in the Brain
The brain is a huge network in which about 100 billion neurons send electrical signals to one another. Based on the vast body of knowledge gained from experiments, the group aims to mathematically clarify the operating principles of information processing in the brain and the mechanisms of efficient learning.
*Illustrative imageBrain-Inspired Artificial Intelligence
The brain properties incorporated in today's neural networks are only a small part of what was discovered half a century ago. Based on the latest findings about the brain, the group aims to clarify the mechanisms of flexible learning in living organisms and to realize them as artificial intelligence.
*Illustrative imageArtificial Molecular Machines Driven by Fluctuations
Molecular machines inside cells work efficiently amid thermal fluctuations. With artificial molecular motors in mind, the group works on their design and analysis using mathematical models based on stochastic resonance.
MembersFaculty
The faculty of the Theoretical Neuroscience and Mathematics of Nonequilibrium Systems Group in the Nonlinear Physics Division are Professor Toshio Aoyagi, Professor Jun-nosuke Teramae, and Assistant Professor Hiroki Tutu.
- ProfessorToshio Aoyagi
- ProfessorJun-nosuke Teramae
- Assistant ProfessorHiroki Tutu
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Neuron Heart” Piku4chemia / CC BY-SA 4.0 (cropped)
- Entrainment: Rhythms Falling into Step: “Great Smoky Mountain Fireflies - panoramio” Rick Shu / CC BY-SA 3.0 (cropped)
- Principles of Learning and Information Processing in the Brain: “PLoSBiol4.e126.Fig6fNeuron” Wei-Chung Allen Lee, Hayden Huang, Guoping Feng, Joshua R. Sanes, Emery N. Brown, Peter T. So, Elly Nedivi / CC BY 2.5 (cropped)
- Brain-Inspired Artificial Intelligence: “Model of a human brain, Europe, Wellcome L0057095” Wellcome Images / CC BY 4.0 (cropped)
- Artificial Molecular Machines Driven by Fluctuations: “PDB 3kar EBI” Jawahar Swaminathan and MSD staff at the European Bioinformatics Institute / Public domain (cropped)
- Related lab (Nonlinear Dynamics and Computational Physics Group): “Mandel zoom 11 satellite double spiral” Created by Wolfgang Beyer with the program Ultra Fractal 3. / CC BY-SA 3.0 (cropped)
- Related lab (Physical Statistics Lab): “Chaos Theory & Double Pendulum - 3” Cristian V. / CC BY-SA 4.0 (cropped)
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- Related lab (Agreement Informatics Lab): “Discussion Between National Consensus Commission And Nationalist Likeminded Alliance (PID-0002082)” Press Information Department / Public domain (cropped)
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