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Minimum realisations and modelling of biological systems

Medical and biological engineering volume 13, pages 56–58 (1975)Cite this article

Abstract

A state variable model in the canonical form of Bucy is constructed from the given impulse response of a finite-dimensional, discrete-time, linear constant dynamical biological (arterial circulatory) system.

Sommaire

On a réalisé un modèle variable d'état de la forme canonique de Bucy à partir de la réponse impulsions d'un système (circulatoire artériel) biologique, dynamique, constant, linéaire, à temps discret, à dimensions limitées.

Zusammenfassung

Ein Modell mit Zustandsveränderlichen in der herkömmlichen Form von Bucy wurde aus der gegebenen Impulscharakteristik eines unendlich dimensionalen, linear konstanten, dynamisch biologischen Systems mit diskretem Zeitabstand (arterieller Blutkreislauf) gebaut.

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Abbreviations

H, F, G :

(1×n), (n×n), (n×1) matrices

x :

(n×1) state vector

u :

single-dimensional input

y :

single-dimensional output

Y k :

matrix of impulse response

N :

total number of observations taken during diastole period

References

  • Ackerman, J. (1972) On minimal realisations, European Meeting on cybernetics and system research, Vienna, 23rd–25th May 1972.

  • Bucy, R. S. (1968) Canonical forms for multivariable systems,IEEE Trans. AC-13, 567–569.

    MathSciNet  Google Scholar 

  • Kalman, R. E. (1963) Mathematical description of linear dynamical system,J. SIAM Contr. 1, 152–192.

    MATH  MathSciNet  Article  Google Scholar 

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Author information

Affiliations

  1. Department of Electrical Engineering, University of Roorkee, Roorkee, UP, India

    R. N. Mishra

  2. Department of Electrical Engineering, Guru Nanak Engng. College, Ludhiana, Panjab, India

    S. S. Koonar

Authors
  1. R. N. Mishra
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  2. S. S. Koonar
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Cite this article

Mishra, R.N., Koonar, S.S. Minimum realisations and modelling of biological systems. Med. & biol. Engng. 13, 56–58 (1975). https://doi.org/10.1007/BF02478187

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  • DOI: https://doi.org/10.1007/BF02478187

Keywords

  • Modelling
  • Arterial circulation