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Mathematical Modelling in Biomedicine

Optimal Control of Biomedical Systems

  • Y. Cherruault

Part of the Mathematics and Its Applications book series (MAIA, volume 23)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Y. Cherruault
    Pages 1-2
  3. Y. Cherruault
    Pages 3-14
  4. Y. Cherruault
    Pages 53-95
  5. Y. Cherruault
    Pages 96-121
  6. Y. Cherruault
    Pages 122-136
  7. Y. Cherruault
    Pages 137-151
  8. Y. Cherruault
    Pages 152-161
  9. Y. Cherruault
    Pages 162-172
  10. Y. Cherruault
    Pages 193-208
  11. Y. Cherruault
    Pages 209-216
  12. Y. Cherruault
    Pages 217-237
  13. Y. Cherruault
    Pages 238-239
  14. Back Matter
    Pages 240-258

About this book

Introduction

Approach your problems from the right It isn't that they can't see the solution. It end and begin with the answers. Then is that they can't see the problem. one day, perhaps you will find the final question. G.K. Chesterton. The Scandal of Father Brown 'The point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, cod­ ing theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical pro­ gramming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces.

Keywords

calculus mechanics model modeling numerical methods optimization partial differential equation programming simulation systems theory

Authors and affiliations

  • Y. Cherruault
    • 1
  1. 1.MedimatUniversité Paris VIParisFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-5492-2
  • Copyright Information Springer Science+Business Media B.V. 1986
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-8924-1
  • Online ISBN 978-94-009-5492-2
  • Buy this book on publisher's site
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