On a mathematical model for body tissue inflammation

DOI10.1007/BF00276951zbMath0727.92009OpenAlexW2038107159WikidataQ52545539 ScholiaQ52545539MaRDI QIDQ804499

Paola Cerrai

Publication date: 1989

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00276951

zbMATH Keywords

a priori estimatesuniqueness theoremexistence theoremtissue inflammationLeray-Schauder methodbacterial inflammationexistence of a semiclassical solutioninflammatory response to bacterial invasion of body tissuepositivity theoremsystem of two coupled nonlinear parabolic partial differential equations

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Physiology (general) (92C30)

Cites Work

• Localized bacterial infection in a distributed model for tissue inflammation
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