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Applied Analysis Lab (Ishida)
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The lab interprets how living organisms gather together, using chemotaxis equations.
AboutAbout the lab
Describing the gathering of living things with equations
Prof. Ishida studies partial differential equations, with a focus on chemotaxis equations.
Chemotaxis is the tendency of living things to move toward higher concentrations of a chemical substance.
Using systems of equations such as the Keller-Segel system, the lab investigates whether solutions exist for all time and stay within a fixed bound, and how they settle down as time passes.
The lab also works on models describing invasion, the way cancer cells make their way into surrounding tissue.
Key terms
- chemotaxis
- The property by which bacteria or cells, guided by the concentration of surrounding substances, move toward regions of higher (or lower) concentration.
- Keller-Segel system
- A representative system of partial differential equations that describes the aggregation of organisms through chemotaxis.
- invasion
- The spread of cancer cells from their original site into the surrounding tissue.
ResearchResearch themes
The lab specializes in nonlinear partial differential equations.
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MembersFaculty
- Associate ProfessorSachiko Ishida
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Write a lab reviewAnonymous · Your draft is saved if you stopRelatedLabs similar to Applied Analysis Lab (Ishida)
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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: “Dictyostelium Late Aggregation 2” Bruno in Columbus (talk) / Public domain (cropped)
- Analysis of Chemotaxis Equations: “Dictyostelium discoideum 06” Usman Bashir / CC BY-SA 4.0 (cropped)
- Related lab (Applied Analysis Lab (Masaya Maeda)): “Soliton de Peregrine” Christophe.Finot / CC BY-SA 3.0 (cropped)
- Related lab (Applied Analysis Lab (Hironobu Sasaki)): “Water ripples” Georgios Orfeas Katsouris / CC BY 4.0 (cropped)
- Related lab (Fundamental Analysis Lab (Kazuki Hiroe)): “Riemann sphere” Jean-Christophe BENOIST / CC BY-SA 3.0 (cropped)
- Related lab (Geometry (Sanda) Lab): “3D-Cylinder with handle and torus with hole” 作者不詳 / Public domain (cropped)
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