Pointwise bounds for a nonlinear heat conduction model of the human head
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Publication:1071679
DOI10.1007/BF02460025zbMath0585.92011OpenAlexW4250721289WikidataQ52652558 ScholiaQ52652558MaRDI QIDQ1071679
Publication date: 1986
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02460025
maximum principlesaccurate analytical upper and lower bounding curvesheat conduction model of the human head
Nonlinear boundary value problems for ordinary differential equations (34B15) Physiological, cellular and medical topics (92Cxx)
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Cites Work
- Unnamed Item
- Analytical bounding functions for diffusion problems with Michaelis- Menten kinetics
- Pointwise bounds for the solution of a nonlinear problem in cell membrane theory
- Bounds for the solution of the Poisson-Boltzmann equation about a cylindrical particle
- Complementary extremum principles for a nonlinear model of heat conduction in the human head