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Yokota Lab
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An analysis lab that studies mathematical models of chemotaxis using partial differential equations.

AboutAbout the lab
Exploring the behavior of solutions to chemotaxis equations
Yokota Lab studies partial differential equations within analysis.
Its main research subject is chemotaxis systems arising in mathematical biology.
Chemotaxis is the property by which a chemoattractant induces directed movement in a population, and a representative mathematical model is the Keller-Segel system.
Using methods of real analysis, such as integration by parts and maximal regularity, together with operator theory, the lab investigates the boundedness of solutions and finite-time blow-up.
Key terms
- Partial differential equation
- An equation that expresses the relationship between a function of two or more variables and its rates of change.
- Chemotaxis
- The property by which a chemoattractant (such as a pheromone) induces directed movement in a population.
- Keller-Segel system
- A well-known mathematical model of chemotaxis, describing the slime mold Dictyostelium discoideum moving toward higher concentrations of a chemoattractant that it secretes itself.
ResearchResearch themes
The lab studies the existence and uniqueness of solutions and the asymptotic behavior of solutions for nonlinear systems of partial differential equations. Its main research subject is chemotaxis systems arising in mathematical biology.
View More ↗MembersFaculty
- ProfessorTomomi Yokota
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: “Slime mold at Nativeplants Botanical Garden” Nativeplants garden / CC BY-SA 4.0 (cropped)
- Properties of solutions to chemotaxis systems: “Slime molds” Nativeplants garden / CC BY-SA 4.0 (cropped)
- Related lab (加藤研究室): “Porto Covo July 2011-6” Alvesgaspar / CC BY-SA 3.0 (cropped)
- Related lab (齊藤研究室): “Hilbert cube” Claudio Rocchini / CC BY-SA 4.0 (cropped)
- Related lab (下川研究室): “Survival tree for prostate cancer” Michaelg2015 / CC BY-SA 4.0 (cropped)
- Related lab (小谷研究室): “Shaw Graph” Francesca Gandini, Shubhra Mishra, Douglas Shaw / CC BY 4.0 (cropped)
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