| Document Type
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BL
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| Record Number
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850314
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| Main Entry
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Friedman, Avner
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| Title & Author
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Mathematical biology : : modeling and analysis /\ Avner Friedman.
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| Publication Statement
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[Providence, Rhode Island] :: published for the Conference Board of the Mathematical Sciences by the American Mathematical Society,, [2018]
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| Series Statement
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CBMS regional conference series in mathematics ;; number 127
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| Page. NO
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viii, 100 pages :: illustrations (some color) ;; 26 cm.
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| ISBN
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1470447150
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: 9781470447151
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| Notes
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"With support from the National Science Foundation."
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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Introductory biology -- Introduction to modeling -- Models of population dynamics -- Cancer and the immune system -- Parameters estimation -- Mathematical analysis inspired by cancer models -- Mathematical model of atherosclerosis : risk of high cholesterol -- Mathematical analysis inspired by the atherosclerosis model -- Mathematical models of chronic woulds -- Mathematical analysis inspired by the chronic wound model -- Appendix : Introduction to PDEs. A.1. Elliptic equations -- A.2. Parabolic equations -- A.3. Nonlinear equations and systems -- A.4. Free boundary problems.
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| Abstract
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"This book was written for the 2018 NSF-CBMS conference on 'Mathematical biology: modeling and analysis' hosted by Howard University in Washington, DC, May 21-25, 2018." -- Preface, page viii.
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| Subject
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Biology-- Mathematical models.
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Biology and other natural sciences -- Genetics and population dynamics -- Population dynamics (general).
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Biology and other natural sciences -- Physiological, cellular and medical topics -- Medical applications (general).
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Biology-- Mathematical models.
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Biomathematik
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Calculus of variations and optimal control; optimization -- Existence theories -- Free problems in two or more independent variables.
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Dynamical systems and ergodic theory -- Applications -- Dynamical systems in biology.
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Mathematisches Modell
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Partial differential equations -- Equations of mathematical physics and other areas of application -- PDEs in connection with biology and other natural sciences.
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Partial differential equations -- Miscellaneous topics -- Free boundary problems.
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Partial differential equations -- Qualitative properties of solutions -- Bifurcation.
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Partial differential equations -- Qualitative properties of solutions -- Maximum principles.
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Partial differential equations -- Qualitative properties of solutions -- Stability.
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| Subject
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Models, Biological.
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| Dewey Classification
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570.1/5118
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| LC Classification
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QA1.R33 no.127
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QH323.5.F75 2018
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| NLM classification
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2018 I-072
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QH 324.8
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35B50.msc
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35Q9235R3537N2549J1092C5092D2535B3235B3535B50msc
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| Added Entry
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National Science Foundation (U.S.)
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