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arxiv: 0802.2806 · v1 · submitted 2008-02-20 · 🧮 math.CA

Symbolic lumping of some catenary, mamillary and circular compartmental systems

E. Egri (1) , J. T\'oth (2) , C. Brochot (3) , F. Y. Bois (3) ((1) Babe\c{s}-Bolyai University , Department of Differential Equations , Cluj-Napoca , Romania , (2) Department of Mathematical Analysis
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Budapest University of Technology Economics Budapest Hungary (3) INERIS Institut National de l'Environnement Industriel et des Risques Unit\'e de Toxicologie Exp\'erimentale Verneuil En Halatte France)
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keywords systemslumpingcatenarycircularcompartmentalmamillarysomesymbolically
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Some of the most important compartmental systems, such as irreversible catenary, mamillary and circular systems are symbolically simplified by the method of exact linear lumping. A few symbolically unmanageable systems are numerically lumped. Transformation of the qualitative properties under lumping are also traced.

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