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Inners and biocontrol models

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Abstract

Techniques of modelling and simulation are discussed as they relate to bioengineering systems. The advantages and disadvantages of different analytical engineering methods utilized to gather information concerning the behavior of complex physiological and neuromuscular control mechanisms are explained. An Inners Criterion is developed to determine if the roots of a model lie within a certain “biologically realistic region” ΓB, in the complex plane which contains the roots of linearized models for a large variety of neuromuscular systems. Several algorithmic methods based on the Jury Inners Test are described which specify whether the model roots lie within the desired region, thereby providing an indication as to the validity of the proposed model. This technique can help to eliminate tedious simulation on an unrealistic model with roots lying far outside this region. An exemplary model for control of vergence eye movements is presented and shown to satisfy the ΓB criterion; several counter-examples are also discussed. The Inners approach can be adapted to other classes of bioengineering systems by specifying the region based on models that are contained in the class of interest.

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Author notes

  1. Michael R. Clark

    Present address: Stanford Research Institute, 94025, Menlo Park, CA

Authors and Affiliations

  1. Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, California

    Michael R. Clark, V. V. Krishnan & Lawrence Stark

  2. Department of Mechanical Engineering, University of California, Berkeley, California

    Michael R. Clark, V. V. Krishnan & Lawrence Stark

  3. Department of Physiological Optics, University of California, Berkeley, California

    Michael R. Clark, V. V. Krishnan & Lawrence Stark

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  1. Michael R. Clark
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  2. V. V. Krishnan
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  3. Lawrence Stark
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Clark, M.R., Krishnan, V.V. & Stark, L. Inners and biocontrol models. Bltn Mathcal Biology 37, 161–180 (1975). https://doi.org/10.1007/BF02470622

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  • DOI: https://doi.org/10.1007/BF02470622

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