THEOREMS ON LINEAR SYSTEMS*
*
The essence of those parts of Section IV which are not in Hearon,8 and of Section V were presented in a talk before the New York section of the Mathematical Association of America at the Polytechnic Institute of Brooklyn on April 18, 1959.
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- John Z. Hearon, A note on open linear systems, Bulletin of Mathematical Biology, 36, 1, (97), (1974).
- Michael E. Starzak, Properties of membrane stationary states. 2. The isobaric isothermal ensemble, Journal of Biological Physics, 2, 2, (57), (1974).
- E. Winkler, Ein Rechenprogramm zur Schätzung der Parameter von Kompartimentmodellen auf der Grundlage von Daten aus Isotopenmarkierungsexperimenten, Biometrische Zeitschrift, 16, 4, (259-273), (2007).
- Walter W. Eckman, Clifford S. Patlak and Joseph D. Fenstermacher, A critical evaluation of the principles governing the advantages of intra-arterial infusions, Journal of Pharmacokinetics and Biopharmaceutics, 2, 3, (257), (1974).
- James H. Ottaway and John Mowbray, The Computation of Parameters in Isotopic Tracer Systems not in a Steady‐State, European Journal of Biochemistry, 36, 2, (380-384), (2005).
- Yi‐der Chen, Fluctuations and noise in kinetic systems. II. Open ensembles at equilibrium and steady state, The Journal of Chemical Physics, 59, 11, (5810), (1973).
- , Bilinear Control Processes: With Applications to Engineering, Ecology, and Medicine, (151)
- Peter B. Bright, The volumes of some compartment systems with sampling and loss from one compartment, Bulletin of Mathematical Biology, 35, 1-2, (69), (1973).
- Wayne P. London and John Z. Hearon, Estimation of the number of precursors in a sequence of first order reactions, Mathematical Biosciences, 14, 3-4, (281), (1972).
- John Z. Hearon and Wayne P. London, Path lengths and initial derivatives in arbitrary and Hessenberg compartmental systems, Mathematical Biosciences, 14, 1-2, (121), (1972).
- H. D. Landahl, Note on oscillations in a closed chain of compartments with linear, unidirectional transport, The Bulletin of Mathematical Biophysics, 34, 2, (293), (1972).
- I. Ružić, Two-compartment model of radionuclide accumulation into marine organisms. I. Accumulation from a medium of constant activity, Marine Biology, 15, 2, (105), (1972).
- C. D. Thron, Structure and kinetic behavior of linear multicompartment systems, The Bulletin of Mathematical Biophysics, 34, 2, (277), (1972).
- Aldo Rescigno and James S. Beck, Foundations of Mathematical Biology, (255), (1972).
- John Z. Hearon, Residence times in compartmental systems and the moments of a certain distribution, Mathematical Biosciences, 15, 1-2, (69), (1972).
- John Z. Hearon, Compartmental matrices with single root and nonnegative nilpotent matrices, Mathematical Biosciences, 14, 1-2, (135), (1972).
- Daniel Fife, Which linear compartmental systems contain traps?, Mathematical Biosciences, 14, 3-4, (311), (1972).
- S.I. Rubinow and Alice Winzer, Compartment analysis: An inverse problem, Mathematical Biosciences, 11, 3-4, (203), (1971).
- LEWIS J. BLEDSOE and GEORGE M. VAN DYNE, Systems Analysis and Simulation in Ecology, (479), (1971).
- C.W. Sheppard, Stochastic models for tracer experiments in the circulation III. The lumped catenary system, Journal of Theoretical Biology, 33, 3, (491), (1971).
- M.R. Aub and J.C. Waterlow, Analysis of a five-compartment system with continuous infusion and its application to the study of amino acid turnover, Journal of Theoretical Biology, 26, 2, (243), (1970).
- , Methods of Nonlinear Analysis, (104)
- John Z. Hearon, Roots of an irreducible continuant, Linear Algebra and its Applications, 3, 1, (125), (1970).
- Robert B. Gunn, Clifford S. Patlak and John Z. Hearon, The logarithmic convexity of the washout function in tracer kinetics, Mathematical Biosciences, 4, 1-2, (1), (1969).
- Rosalind B. Marimont, System connectivity and matrix properties, The Bulletin of Mathematical Biophysics, 31, 2, (255), (1969).
- Jonah Mann and Erlio Gurpide, Interpretation of tracer data: Some factors which reduce the number of terms in the specific activity functions inn-pool systems, The Bulletin of Mathematical Biophysics, 31, 3, (473), (1969).
- John Z. Hearon, The differential equations for specific activities in a distributed tracer system, The Bulletin of Mathematical Biophysics, 30, 2, (325), (1968).
- J. G. Reich, Analogue Computer Analysis of Tracer Flow Patterns through the Glycolytic and Related Pathway in Erythrocytes and other Intact Metabolic Systems, European Journal of Biochemistry, 6, 3, (395-403), (2005).
- John Z. Hearon, The washout curve in tracer kinetics, Mathematical Biosciences, 3, (31), (1968).
- I.G. Darvey, Transient phase kinetics of enzyme reactions, Journal of Theoretical Biology, 19, 2, (215), (1968).
- Maria Luisa Dinamarca and L. Levenbook, Oxidation, utilization, and incorporation into protein of alanine and lysine during metamorphosis of the blowfly Phormia regina (Meigen), Archives of Biochemistry and Biophysics, 117, 1, (110), (1966).
- I. G. Darvey and P. J. Staff, Stochastic Approach to First‐Order Chemical Reaction Kinetics, The Journal of Chemical Physics, 44, 3, (990), (1966).
- H. E. Hart, Analysis of tracer experiments: VII. General multi-compartment systems imbedded in non-homogeneous inaccessible media, The Bulletin of Mathematical Biophysics, 28, 2, (261), (1966).
- John Z. Hearon, Properties of solution of the diffusion-reaction equation, The Bulletin of Mathematical Biophysics, 27, S1, (291), (1965).
- Mones Berman, THE FORMULATION AND TESTING OF MODELS, Annals of the New York Academy of Sciences, 108, 1, (182-194), (2006).
- Markus Müller and Carlos A. Sierra, Application of input to state stability to reservoir models, Theoretical Ecology, 10.1007/s12080-017-0342-3, (2017).
