Optimal Control Applied to Biological Models (Record no. 58969)

MARC details
000 -LEADER
fixed length control field 03884nam a22003137a 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20220329200054.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 220329b |||||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781584886402
028 ## - DISTRIBUTOR NAME
Distributor Name :International Book Distributors
Distributor address :Flat No 17, Prakash Apartment 4405/2, 5 Ansari Road Darya Ganj New Delhi
Bill Number :117571
Bill Date :02/03/2022
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 570.151 LEN
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Lenhart, Suzanne
245 ## - TITLE STATEMENT
Title Optimal Control Applied to Biological Models
Statement of responsibility, etc / Suzanne Lenhart
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Boca Raton
Name of publisher, distributor, etc : Chapman & Hall/CRC
Date of publication, distribution, etc , ©2007.
300 ## - PHYSICAL DESCRIPTION
Extent xii, 261 pages : illustrations
Dimensions ; 25 cm
365 ## - TRADE PRICE
Price amount 11517
490 ## - SERIES STATEMENT
Series statement Chapman and Hall/CRC mathematical & computational biology series.
505 ## - FORMATTED CONTENTS NOTE
Contents note 1 Basic Optimal Control Problems 1 --<br/>1.2 The Basic Problem and Necessary Conditions 7 --<br/>1.3 Pontryagin's Maximum Principle 12 --<br/>2 Existence and Other Solution Properties 21 --<br/>2.1 Existence and Uniqueness Results 23 --<br/>2.2 Interpretation of the Adjoint 26 --<br/>2.3 Principle of Optimality 28 --<br/>2.4 The Hamiltonian and Autonomous Problems 31 --<br/>3 State Conditions at the Final Time 37 --<br/>3.1 Payoff Terms 37 --<br/>3.2 States with Fixed Endpoints 41 --<br/>4 Forward-Backward Sweep Method 49 --<br/>5 Lab 1: Introductory Example 57 --<br/>6 Lab 2: Mold and Fungicide 63 --<br/>7 Lab 3: Bacteria 67 --<br/>8 Bounded Controls 71 --<br/>8.1 Necessary Conditions 73 --<br/>8.2 Numerical Solutions 81 --<br/>9 Lab 4: Bounded Case 85 --<br/>10 Lab 5: Cancer 89 --<br/>11 Lab 6: Fish Harvesting 93 --<br/>12 Optimal Control of Several Variables 97 --<br/>12.1 Necessary Conditions 97 --<br/>12.2 Linear Quadratic Regulator Problems 104 --<br/>12.3 Higher Order Differential Equations 107 --<br/>12.4 Isoperimetric Constraints 108 --<br/>12.5 Numerical Solutions 112 --<br/>13 Lab 7: Epidemic Model 117 --<br/>14 Lab 8: HIV Treatment 123 --<br/>15 Lab 9: Bear Populations 129 --<br/>16 Lab 10: Glucose Model 135 --<br/>17 Linear Dependence on the Control 139 --<br/>17.1 Bang-Bang Controls 139 --<br/>17.2 Singular Controls 143 --<br/>18 Lab 11: Timber Harvesting 153 --<br/>19 Lab 12: Bioreactor 157 --<br/>20 Free Terminal Time Problems 163 --<br/>20.1 Necessary Conditions 163 --<br/>20.2 Time Optimal Control 168 --<br/>21 Adapted Forward-Backward Sweep 175 --<br/>21.1 Secant Method 175 --<br/>21.2 One State with Fixed Endpoints 177 --<br/>21.3 Nonlinear Payoff Terms 182 --<br/>21.4 Free Terminal Time 183 --<br/>21.5 Multiple Shots 184 --<br/>22 Lab 13: Predator-Prey Model 189 --<br/>23 Discrete Time Models 193 --<br/>23.1 Necessary Conditions 193 --<br/>23.2 Systems Case 199 --<br/>24 Lab 14: Invasive Plant Species 205 --<br/>25 Partial Differential Equation Models 211 --<br/>25.1 Existence of an Optimal Control 212 --<br/>25.2 Sensitivities and Necessary Conditions 213 --<br/>25.3 Uniqueness of the Optimal Control 215 --<br/>25.4 Numerical Solutions 215 --<br/>25.5 Harvesting Example 216 --<br/>25.6 Beaver Example 220 --<br/>25.7 Predator-Prey Example 223 --<br/>25.8 Identification Example 228 --<br/>25.9 Controlling Boundary Terms 231 --<br/>26 Other Approaches and Extensions 237.
520 ## - SUMMARY, ETC.
Summary, etc "From economics and business to the biological sciences to physics and engineering, professionals successfully use the powerful mathematical tool of optimal control to make management and strategy decisions. Optimal Control Applied to Biological Models thoroughly develops the mathematical aspects of optimal control theory and provides insight into the application of this theory to biological models." "Requiring only basic knowledge of multivariable calculus, simple ODEs, and mathematical models, this text shows how to adjust controls in biological systems in order to achieve proper outcomes."--Jacket.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Biology
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Biological models
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Control theory
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Biological models.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Control theory.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Optimierung
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Models, Biological
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Lenhart, Suzanne
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Workman, John T.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Date acquired Source of acquisition Cost, normal purchase price Full call number Barcode Date last seen Price effective from Koha item type Public note
    Dewey Decimal Classification   Not For Loan SNU LIBRARY SNU LIBRARY 29/03/2022 International Book Distributors 11517.00 570.151 LEN 28560 29/03/2022 29/03/2022 Costly Books costly
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