rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Optimal control applied to biological models
  name:
    name part: Lenhart, Suzanne.
    role:
      role term: creator
  name:
    name part: Workman, John T.
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  genre: Textbooks
  origin info:
    place:
      place term: flu
    place:
      place term: Boca Raton
    publisher: Chapman & Hall/CRC
    date issued: ©2007
    date issued: 2007
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: preservation
    reformatting quality: access
    form: remote
    extent: 1 online resource (xii, 261 pages) : illustrations
  abstract: "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
  table of contents: 1 Basic Optimal Control Problems 1 -- 1.2 The Basic Problem and Necessary Conditions 7 -- 1.3 Pontryagin's Maximum Principle 12 -- 2 Existence and Other Solution Properties 21 -- 2.1 Existence and Uniqueness Results 23 -- 2.2 Interpretation of the Adjoint 26 -- 2.3 Principle of Optimality 28 -- 2.4 The Hamiltonian and Autonomous Problems 31 -- 3 State Conditions at the Final Time 37 -- 3.1 Payoff Terms 37 -- 3.2 States with Fixed Endpoints 41 -- 4 Forward-Backward Sweep Method 49 -- 5 Lab 1: Introductory Example 57 -- 6 Lab 2: Mold and Fungicide 63 -- 7 Lab 3: Bacteria 67 -- 8 Bounded Controls 71 -- 8.1 Necessary Conditions 73 -- 8.2 Numerical Solutions 81 -- 9 Lab 4: Bounded Case 85 -- 10 Lab 5: Cancer 89 -- 11 Lab 6: Fish Harvesting 93 -- 12 Optimal Control of Several Variables 97 -- 12.1 Necessary Conditions 97 -- 12.2 Linear Quadratic Regulator Problems 104 -- 12.3 Higher Order Differential Equations 107 -- 12.4 Isoperimetric Constraints 108 -- 12.5 Numerical Solutions 112 -- 13 Lab 7: Epidemic Model 117 -- 14 Lab 8: HIV Treatment 123 -- 15 Lab 9: Bear Populations 129 -- 16 Lab 10: Glucose Model 135 -- 17 Linear Dependence on the Control 139 -- 17.1 Bang-Bang Controls 139 -- 17.2 Singular Controls 143 -- 18 Lab 11: Timber Harvesting 153 -- 19 Lab 12: Bioreactor 157 -- 20 Free Terminal Time Problems 163 -- 20.1 Necessary Conditions 163 -- 20.2 Time Optimal Control 168 -- 21 Adapted Forward-Backward Sweep 175 -- 21.1 Secant Method 175 -- 21.2 One State with Fixed Endpoints 177 -- 21.3 Nonlinear Payoff Terms 182 -- 21.4 Free Terminal Time 183 -- 21.5 Multiple Shots 184 -- 22 Lab 13: Predator-Prey Model 189 -- 23 Discrete Time Models 193 -- 23.1 Necessary Conditions 193 -- 23.2 Systems Case 199 -- 24 Lab 14: Invasive Plant Species 205 -- 25 Partial Differential Equation Models 211 -- 25.1 Existence of an Optimal Control 212 -- 25.2 Sensitivities and Necessary Conditions 213 -- 25.3 Uniqueness of the Optimal Control 215 -- 25.4 Numerical Solutions 215 -- 25.5 Harvest…
  note: Suzanne Lenhart, John T. Workman.
  note: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
  note: digitized 2017 HathiTrust Digital Library committed to preserve pda MiAaHDL
  note: Includes bibliographical references (pages 245-257) and index.
  subject:
    topic: Biological models
    genre: Textbooks
  subject:
    topic: Mathematical optimization
    genre: Textbooks
  subject:
    topic: Control theory
    genre: Textbooks
  subject:
    topic: Biological models
  subject:
    topic: Models, Biological
  subject:
    topic: Modèles biologiques
    genre: Manuels d'enseignement supérieur
  subject:
    topic: Optimisation mathématique
    genre: Manuels d'enseignement supérieur
  subject:
    topic: Théorie de la commande
    genre: Manuels d'enseignement supérieur
  subject:
    topic: Modèles biologiques
  subject:
    topic: NATURE
    topic: Reference
  subject:
    topic: SCIENCE
    topic: Life Sciences
    topic: Biology
  subject:
    topic: SCIENCE
    topic: Life Sciences
    topic: General
  subject:
    topic: Biological models
  subject:
    topic: Control theory
  subject:
    topic: Mathematical optimization
  subject:
    topic: Biologisches System
  subject:
    topic: Numerisches Modell
  subject:
    topic: Optimale Kontrolle
  subject:
    topic: Optimierung
  subject:
    topic: Optimering
  subject:
    topic: Biologi
    topic: matematiska modeller
  classification: QH324.8 .L46 2007
  classification: 570.15/1
  classification: 92B05 49N90 92-02
  classification: SK 880
  classification: WC 7700
  classification: BIO 110f
  classification: MAT 496f
  related item:
    title info:
      title: Optimal control applied to biological models
    name:
      name part: Lenhart, Suzanne.
    origin info:
      publisher: Boca Raton : Chapman & Hall/CRC, ©2007
    identifier: (DLC) 2007000973
    identifier: (OCoLC)77830692
  related item:
    title info:
      title: Chapman and Hall/CRC mathematical & computational biology series
  identifier: 9781420011418
  identifier: 1420011413
  identifier: 1322628394
  identifier: 9781322628394
  identifier: 9780429138058
  identifier: 0429138059
  identifier: 9781584886402
  identifier: 1584886404
  identifier: 694121 MIL
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OCLCE
    record creation date: 170606
    record change date: 20241111204817.7
    record identifier: in00005528666
    language of cataloging:
      language term: eng