COMPLETE MEASUREMENT SETS IN MULTICOMPARTMENT SYSTEMS ANALYSIS--A REFERENCE COMPARTMENT CRITERION.
Item
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Title
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COMPLETE MEASUREMENT SETS IN MULTICOMPARTMENT SYSTEMS ANALYSIS--A REFERENCE COMPARTMENT CRITERION.
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Identifier
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AAI8023735
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identifier
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8023735
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Creator
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SPETSIERIS, PHOEBE GEORGE.
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Contributor
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Hiram E. Hart
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Date
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1980
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Language
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English
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Publisher
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City University of New York.
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Subject
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Biophysics, General
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Abstract
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The identifiability of linear, contiguous, steady-state, n-compartment systems for which none of the n('2) transfer rates are known a priori, is considered. The concept of "minimal completeness" is introduced to characterize any n impulse-response measurement elements of the transition matrix which are capable of providing a unique solution or at most a discrete set of physically compatible solutions. It is shown initially for strongly connected systems, that all minimally complete sets require either measurement in all compartments or injection in all compartments. It is further shown that the existence of a reference compartment linking any n transition matrix elements that satisfy the previous requirement, is in general a necessary and sufficient condition for determining minimal completeness. An "eigenvector approach" for obtaining a solution is developed which can be applied to both strongly connected systems and to certain non-strongly connected systems for which n distinct eigenvalues are obtainable. The extent of the applicability of the "reference compartment criterion" to non-strongly connected systems and the generalization of the eigenvector approach to measurement sets involving simultaneous multiple inputs and weighted response measurements are also examined. The relation of some of these concepts to aspects of linear system control theory and structural identifiability is indicated. The constraints imposed on the topology of complete measurement sets by the structural topology of the system and the general implications of such relationships between measurement topologies and system topologies are considered.
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Type
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dissertation
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Source
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PQT Legacy CUNY.xlsx
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degree
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Ph.D.
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Program
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Physics
