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IFIP Technical Conference on Optimization Techniques

Optimization Techniques 1973: 5th Conference on Optimization Techniques Part II pp 357–365Cite as

Modeling, simulation, identification and optimal control of large biochemical systems

  • Biological Systems
  • Conference paper
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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 4))

Abstract

A new approach of biology by biochimists has been presented. This approach consists in building simple biochemical models, well described by partial differential equations. Numerical analysis of these equations give more information about the evolution or the stationary state of the profiles of cencentration inside the membranes. The numerical analyst is asked also to find optimal controls of these systems, or to identify some of their kinetic parameters. Moreover these artificial enzyme membranes offer very exciting possibilities for medical applications, biotechnology, bioengineering.

Therefore, this approach of biology seems to be a field of increasing collaboration between biochemists and applied mathematicians.

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Bibliography

  • G. JOLY, Identification de paramètres cinétiques dans des systèmes biochimiques, Thèse de 3ème cycle, Paris, 1973.

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  • J.P. KERNEVEZ, D. THOMAS, Book to be published, Dunod, Paris.

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  • J.P. KERNEVEZ, J.P. QUADRAT, M. VIOT Control of a Stochastic Non Linear Boundary Value Problem, these proceedings.

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  • P. PENELL, J.C. BRAUNER Contrôle d'un Système Biomathématique, Thèse 3ème cycle, Paris, 1972.

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  • J.P. YVON Optimal Control of Systems Governed by Variational Inequations, these proceedings.

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Authors and Affiliations

  1. Faculté des Sciences, 6, Boulevard Gabriel, 21000, DIJON, FRANCE

    J. P. Kernevez

Authors
  1. J. P. Kernevez
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Editor information

R. Conti A. Ruberti

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© 1973 Springer-Verlag Berlin Heidelberg

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Kernevez, J.P. (1973). Modeling, simulation, identification and optimal control of large biochemical systems. In: Conti, R., Ruberti, A. (eds) 5th Conference on Optimization Techniques Part II. Optimization Techniques 1973. Lecture Notes in Computer Science, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-06600-4_32

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  • DOI: https://doi.org/10.1007/3-540-06600-4_32

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06600-2

  • Online ISBN: 978-3-540-37909-6

  • eBook Packages: Springer Book Archive

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