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Modeling and control in the biomedical sciences

Author: H Thomas Banks
Publisher: Berlin ; New York : Springer-Verlag, 1975.
Series: Lecture notes in biomathematics, v. 6.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

These notes are based on (i) a series of lectures that I gave at the 14th Biennial Seminar of the Canadian Mathematical Congress held at the University of Western Ontario August 12-24, 1973 and (li)  Read more...

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Additional Physical Format: Online version:
Banks, H. Thomas.
Modeling and control in the biomedical sciences.
Berlin ; New York : Springer-Verlag, 1975
(OCoLC)612789391
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: H Thomas Banks
ISBN: 0387073957 9780387073958 9783540073956 3540073957
OCLC Number: 1582743
Description: iv, 114 pages : illustrations ; 25 cm.
Contents: 1. A Brief Review of Enzyme Kinetics.- 2. Models for Enzymatically Active Membranes.- 2.1 Modeling of the physiological phenomena using Briggs-Haldane approximations.- 2.2 Control problems arising in connection with membrane models.- 2.3 Hysteresis and oscillatory phenomena in membrane models.- 3. Modeling of Enzyme Cascades.- 3.1 Physiological motivation and a review of previous modeling attempts.- 3.2 Derivation of a model based on the cascade in glycogenolysis.- 3.3 The role of optimality in model development.- 3.4 Qualitative and numerical results.- 3.5 Glycogenolytic cascade models with activators/inhibitors.- 4. Modeling and Control of Epidemics.- 5. Modeling of the Control System in Glucose Homeostasis.- 6. Modeling and Control of Tumor Growth.- 6.1 Probabilistic models.- 6.2 Deterministic models.- 6.3 Optimal fractionated therapy.- 7. A Survey of Recent Efforts.- 7.1 Biped locomotion.- 7.2 Countercurrent dialysis.- 7.3 Drug regimens.- 7.4 Insect respiration.- 7.5 Patient care and diagnostic models.- 7.6 Ecological systems and resource management.- 7.7 Parameter estimation and identification.- 7.8 Miscellaneous topics.
Series Title: Lecture notes in biomathematics, v. 6.
Responsibility: H.T. Banks.

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