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  • © 1986

Mathematical Modelling in Biomedicine

Optimal Control of Biomedical Systems

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

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xviii
  2. Introduction

    • Y. Cherruault
    Pages 1-2
  3. General Remarks on Modelling

    • Y. Cherruault
    Pages 3-14
  4. Optimal Control in Compartmental Analysis

    • Y. Cherruault
    Pages 53-95
  5. Relations Between Dose and Effect

    • Y. Cherruault
    Pages 96-121
  6. General Modelling in Medicine

    • Y. Cherruault
    Pages 122-136
  7. Blood Glucose Regulation

    • Y. Cherruault
    Pages 137-151
  8. Integral Equations in Biomedicine

    • Y. Cherruault
    Pages 152-161
  9. Numerical Solution of Integral Equations

    • Y. Cherruault
    Pages 162-172
  10. Optimality in Human Physiology

    • Y. Cherruault
    Pages 193-208
  11. Errors in Modelling

    • Y. Cherruault
    Pages 209-216
  12. Open Problems in Biomathematics

    • Y. Cherruault
    Pages 217-237
  13. Conclusions

    • Y. Cherruault
    Pages 238-239
  14. Back Matter

    Pages 240-258

About this book

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.

Authors and Affiliations

  • Medimat, Université Paris VI, Paris, France

    Y. Cherruault

Bibliographic Information

  • Book Title: Mathematical Modelling in Biomedicine

  • Book Subtitle: Optimal Control of Biomedical Systems

  • Authors: Y. Cherruault

  • Series Title: Mathematics and Its Applications

  • DOI: https://doi.org/10.1007/978-94-009-5492-2

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1986

  • Hardcover ISBN: 978-90-277-2149-5Published: 28 February 1986

  • Softcover ISBN: 978-94-010-8924-1Published: 21 April 2014

  • eBook ISBN: 978-94-009-5492-2Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XVIII, 258

  • Topics: Mathematical Modeling and Industrial Mathematics

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access