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Kuto Lab
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The lab uses differential equations to explain territorial competition among organisms and the formation of patterns.
AboutAbout the lab
Unraveling “phenomena” with the power of mathematics
Kuto Lab uses differential equations to study curious phenomena that appear in living things and materials.
Centered on equations called “reaction-diffusion systems,” which describe territorial competition between organisms and pattern formation, the lab theoretically investigates the behavior of their solutions.
Pattern formation in chemistry and physics, such as the stripe and spiral patterns formed by molecules moving on a platinum surface, is also a subject of research.
The lab values both the appeal of pure theory and the appeal of mathematical models that explain phenomena.
Key terms
- differential equation
- A mathematical expression of how a quantity changes with time or location
- reaction-diffusion system
- A system of equations combining “reaction,” the increase and decrease of organisms or substances, with “diffusion,” their spreading out
- pattern formation
- The phenomenon in which patterns or structures spontaneously form in an orderly way
ResearchResearch themes
The lab studies the differential equations of mathematical models that arise in biology and engineering. While explaining the mechanisms of individual phenomena mathematically, it aims to devise new methods for solving the equations.
*Illustrative imageSpecies segregation and pattern formation in organisms
The lab represents two species competing for territory with reaction-diffusion equations that include “cross-diffusion terms,” and theoretically investigates the behavior of their solutions.
*Illustrative imagePatterns formed by molecules on surfaces
The lab models the stripe and spiral patterns formed by moving molecules on platinum surfaces, such as those in automobile exhaust filters, with reaction-diffusion equations and studies them mathematically.
MembersFaculty
The members of Kuto Lab are faculty, students, and postdoctoral researchers (PDs).
- ProfessorKosuke Kuto
- LecturerTakashi Kono
- LecturerTomoharu Kinoshita
VoicesStudent voices
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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: “Belousov Zhabotinsky reaction ( )” Stephen Morris / CC BY 2.0 (cropped)
- Species segregation and pattern formation in organisms: “100 Plains zebra hair patterns close-up in Etosha National Park Photo by Giles Laurent” Giles Laurent / CC BY-SA 4.0 (cropped)
- Patterns formed by molecules on surfaces: “Conus textile a1” MerlinCharon / Public domain (cropped)
- Related lab (Maruno Lab): “Soliton hydro” Christophe.Finot et Kamal HAMMANI / CC BY-SA 2.5 (cropped)
- Related lab (Ohmoto Lab): “Ripples dispersing sunlight into underwater rainbows in Brofjorden” W.carter / CC BY-SA 4.0 (cropped)
- Related lab (Ogita Lab): “U.s.-kilogram-masses” National Institute of Standards and Technology / Public domain (cropped)
- Related lab (Kashiwagi Lab): “Convergence of Iterative Numerical Methods for Poisson System with 16384 elements” ansariddle / CC BY-SA 4.0 (cropped)
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