Receptor-Agonist Interactions in Service-Theoretic Perspective, Effects of Molecular Timing on the Shape of Dose-Response Curves

REFERENCES

• Kühl P W. Biocatalysts operating at high substrate concentrations. Biocatalysis in Non-Conventional Media, J Tramper, M H Vermuë, H H Beeftink, U von Stockar. Elsevier, Amsterdam 1992; 245–252
   Google Scholar
• Stephenson R P. A modification of receptor theory. Br J Pharmacol Chemother 1956; 11: 379–393, [PUBMED], [INFOTRIEVE], [CSA]
   PubMed Web of Science ®Google Scholar
• Ruffolo R R. Important concepts of receptor theory. J Auton Pharmacol 1982; 2: 277–295, [PUBMED], [INFOTRIEVE], [CSA]
   PubMedGoogle Scholar
• Black J W, Leff P. Operational models of pharmacological agonism. Proc R Soc London Ser B 1983; 220: 141–162, [CSA]
   PubMed Web of Science ®Google Scholar
• Kenakin T P. The quantification of relative efficacy of agonists. J Pharmacol Methods 1985; 13: 281–308, [PUBMED], [INFOTRIEVE], [CSA], [CROSSREF]
   PubMedGoogle Scholar
• Ruffolo R R, Zeid R L. Relationship between alpha adrenoceptor occupancy and response for the alpha-1 adrenoceptor agonist, cirazoline, and the alpha-2 adrenoceptor agonist, B-HT 933, in canine saphenous vein. J Pharmacol Exp Ther 1985; 235: 636–643, [PUBMED], [INFOTRIEVE], [CSA]
   Google Scholar
• Facklam M, Schoch P, Bonetti E P, Jenck F, Martin J R, Moreau J -L, Haefely W E. Relationship between benzodiazepine receptor occupancy and functional effects in vivo of four ligands of differing intrinsic efficacies. J Pharmacol Exp Ther 1992; 261: 1113–1121, [PUBMED], [INFOTRIEVE], [CSA]
   Google Scholar
• Jovanović A, Grbović L, Tulić I. Endothelium-dependent relaxation in response to acetylcholine in the human uterine artery. Eur J Pharmacol 1994; 256: 131–139, [CSA], [CROSSREF]
   PubMedGoogle Scholar
• Cory R N, Rouot B, Guillon G, Sladeczek F, Balestre M -N, Bockaert J. The 5-hydroxytryptamine (5-HT2) receptor stimulates inositol phosphate formation in intact and broken WRK1 cells: Determination of occupancy-response relationships for 5-HT agonists. J Pharmacol Exp Ther 1987; 241: 258–267, [PUBMED], [INFOTRIEVE], [CSA]
   Google Scholar
• Keen M, Nahorski S R. Muscarinic acetylcholine receptors linked to the inhibition of adenylate cyclase activity in membranes from the rat striatum and myocardium can be distinguished on the basis of agonist efficacy. Mol Pharmacol 1988; 34: 769–778, [PUBMED], [INFOTRIEVE], [CSA]
   Google Scholar
• Takayanagi I, Koike K, Nakamura M, Horie Y. Effects of cooling on alpha-1-adrenoceptor mechanisms in rat aorta. Comp Biochem Physiol C 1988; 90: 95–99, [PUBMED], [INFOTRIEVE], [CSA]
   Google Scholar
• Khinchin A Y. Mathematical Methods of the Theory of Mass Service. Akademiia Nauk SSSR. Matematicheskii Institut, Moscow 1955, Trudy 49 (in Russian)
   Google Scholar
• Gnedenko B V, Kovalenko I N. Introduction to the Theory of Mass Service. Nauka, Moscow 1966, (in Russian)
   Google Scholar
• Smith W L, Wilkinson W E. Congestion Theory. University of North Carolina Press, Chapel Hill, NC 1965
   Google Scholar
• Syski R. Introduction to Congestion Theory in Telephone Systems, 2nd ed. North Holland, Amsterdam 1986
   Google Scholar
• Saaty T L. Elements of Queueing Theory. McGraw-Hill, New York 1961
   Google Scholar
• Cooper R B. Introduction to Queueing Theory, 2nd ed. Edward Arnold Ltd, London 1981
   Google Scholar
• Gross D, Harris C M. Fundamentals of Queueing Theory, 2nd ed. John Wiley, New York 1985
   Google Scholar
• Bunday B D. An Introduction to Queueing Theory. Arnold, London 1996
   Google Scholar
• Prabhu N U. Foundations of Queueing Theory. Kluwer Academic Publishers, Boston 1997
   Google Scholar
• Rosenberg W J, Prochorow A I. Einführung in die Bedienungstheorie. B.G. Teubner Verlagsgesellschaft, Leipzig 1964
   Google Scholar
• Gnedenko B W, König D. Handbuch der Bedienungstheorie I. Akademie-Verlag, Berlin 1983
   Google Scholar
• Gnedenko B W, König D. Handbuch der Bedienungstheorie II. Akademie-Verlag, Berlin 1984
   Google Scholar
• Brockmeyer E, Halstrøm H L, Jensen A. The Life and Works of A.K. Erlang. Academy of Technical Sciences, Copenhagen 1948
   Google Scholar
• Henri V. Lois Générales de l'Action des Diastases. Librairie Scientifique A. Hermann, Paris 1903
   Google Scholar
• Hill A V. The mode of action of nicotine and curari, determined by the form of the concentration curve and the method of temperature coefficients. J Physiol 1909; 39: 361–373, [CSA]
   PubMedGoogle Scholar
• Kendall D G. Stochastic processes occurring in the theory of queues and their analysis by the method of the imbedded Markov chain. Ann Math Stat 1953; 24: 338–354, [CSA]
   Google Scholar
• Ruiz-Palá E, Ávila-Beloso C, Hines W W. Waiting-Line Models. Reinhold Publishing Corporation, New York 1967
   Google Scholar
• Allen A O. Probability, Statistics, and Queueing Theory 2nd ed., , et al. Academic Press, San Diego 1990
   Google Scholar
• Magott J, Skudlarski K. Estimating the mean completion time of PERT networks with exponentially distributed durations of activities. Eur J Oper Res 1993; 71: 70–79, [CSA], [CROSSREF]
   Web of Science ®Google Scholar
• Trivedi K S. Probability and Statistics with Reliability, Queuing, and Computer Science Applications, 2nd ed. John Wiley, New York 2002
   Google Scholar
• Morse P M. Queues, Inventories and Maintenance. John Wiley, New York 1958
   Google Scholar
• Greiner M, Jobmann M, Klüppelberg C. Telecommunication traffic, queueing models, and subexponential distributions. Queueing Syst 1999; 33: 125–152, [CSA], [CROSSREF]
   Google Scholar
• Sigman K. Appendix: A primer on heavy-tailed distributions. Queueing Syst 1999; 33: 261–275, [CSA], [CROSSREF]
   Web of Science ®Google Scholar
• Cohen J W. The Single Server Queue, rev. ed. North Holland Publishing Company, Amsterdam 1982
   Google Scholar
• Queueing Standardization Conference Report. May, 111971, [quoted on p. 9 in (18)]
   Google Scholar
• Müller P H. Lexikon der Stochastik, 5th ed. Akademie Verlag, Berlin 1991; 547–562
   Google Scholar
• Stuart A, Ord J K. Kendall's Advanced Theory of Statistics, Volume 1: Distribution Theory, 6th ed. Edward Arnold, London 1994
   Google Scholar
• Johnson N L, Kotz S, Balakrishnan N. Continuous Univariate Distributions, 2nd ed. John Wiley, New York 1994; vol. 1
   Google Scholar
• Johnson N L, Kotz S, Balakrishnan N. Continuous Univariate Distributions, 2nd ed. John Wiley, New York 1995; vol. 2
   Google Scholar
• Evans M, Hastings N AJ, Peacock J B. Statistical Distributions, 3rd ed. John Wiley & Sons, New York 2000
   Google Scholar
• Balakrishnan N, Nevzorov V B. A Primer on Statistical Distributions. John Wiley, Hoboken, NJ 2003
   Google Scholar
• Pearson K. Contributions to the mathematical theory of evolution. II. Skew variation in homogeneous material. Phil Trans R Soc London Ser A 1895; 186: 343–414, [CSA]
   Google Scholar
• Pearson K. Contributions to the mathematical theory of evolution. III. Regression, heredity, and panmixia. Phil Trans R Soc London Ser A 1896; 187: 253–318, [CSA]
   Google Scholar
• Pearson K. “Das Fehlergesetz und seine Verallgemeinerungen durch Fechner und Pearson”. A rejoinder. Biometrika 1905; 4: 169–212, [CSA]
   Google Scholar
• Bothe W. Der radioaktive Zerfall. Handbuch der Physik, Band 22: Elektronen, Atome, Moleküle, H Geiger. Verlag von Julius Springer, Berlin 1926; 179–221
   Google Scholar
• Fernandez C, Goldberg J M, Abend W K. Response to static tilts of peripheral neurons innervating otolith organs of the squirrel monkey. J Neurophysiol 1972; 35: 978–997, [PUBMED], [INFOTRIEVE], [CSA]
   PubMed Web of Science ®Google Scholar
• McCue M P, Guinan J J. Spontaneous activity and frequency selectivity of acoustically responsive vestibular afferents in the cat. J Neurophysiol 1995; 74: 1563–1572, [PUBMED], [INFOTRIEVE], [CSA]
   PubMed Web of Science ®Google Scholar
• Christodoulou C, Bugmann G. Coefficient of variation vs. mean interspike interval curves: What do they tell us about the brain?. Neurocomputing 2001; 38–40: 1141–1149, [INFOTRIEVE], [CSA], [CROSSREF]
   Google Scholar
• Neuts M F. Matrix-Geometric Solutions in Stochastic Models. An Algorithmic Approach. The Johns Hopkins University Press, Baltimore, MD and London 1981
   Google Scholar
• Neuts M F. Structured Stochastic Matrices of M/G/1 Type and Their Applications. Marcel Dekker, New York and Basel 1989
   Google Scholar
• Latouche G, Ramaswami V. Introduction to Matrix Analytic Methods in Stochastic Modeling. SIAM (Society for Industrial and Applied Mathematics) and Alexandria, VA: ASA (American Statistical Association), Philadelphia, PA 1999
   Google Scholar
• Neuts M F. Matrix-analytic methods in queueing theory. Advances in Queueing. Theory, Methods, and Open Problems, J H Dshalalow. CRC Press, Boca Raton, FL 1995; 265–292
   Google Scholar
• Asmussen S. Matrix-analytic models and their analysis. Scand J Stat 2000; 27: 193–226, [CSA], [CROSSREF]
   Web of Science ®Google Scholar
• Lipsky L R. Queueing Theory. A Linear Algebraic Approach. Macmillan, New York 1992
   Google Scholar
• Nelson R. Probability, Stochastic Processes, and Queueing Theory. The Mathematics of Computer Performance Modeling. Springer-Verlag, New York 1995
   Google Scholar
• Bolch G, Greiner S, de Meer H, Trivedi K S. Queueing Networks and Markov Chains. Modeling and Performance Evaluation with Computer Science Applications. John Wiley, New York 1998
   Google Scholar
• Feldmann R M, Valdez-Flores C. Applied Probability and Stochastic Processes. PWS Publishing Company, Boston 1996
   Google Scholar
• Mitrani I. Probability Modelling. Cambridge University Press, Cambridge, UK 1998
   Google Scholar
• Frère J -M. Enzymology in 2003. Biochemist 2003; 25(6)6, [CSA]
   Google Scholar
• Kühl P W. Renaming the Michaelis-Menten equation. Biochemist 2003; 25(6)6–7, [CSA]
   Google Scholar
• Asmussen S, O'Cinneide C A. Matrix-exponential distributions. Encyclopedia of Statistical Sciences, S Kotz, C B Read, D L Banks. Update Series, John Wiley, New York 1999; vol. 3: 435–440
   Google Scholar
• Bladt M, Neuts M F. Matrix-exponential distributions: Calculus and interpretation via flows. Stoch Models 2003; 19: 113–124, [CSA], [CROSSREF]
   Web of Science ®Google Scholar
• Shaked M, Shanthikumar J G. Phase type distributions. Encyclopedia of Statistical Sciences, S Kotz, N L Johnson, C B Read. John Wiley, New York 1985; vol. 6: 709–715
   Google Scholar
• Asmussen S, Olsson M. Phase type distributions (update). Encyclopedia of Statistical Sciences, S Kotz, C B Read, D L Banks. Update Series, John Wiley, New York 1998; vol. 2: 525–530
   Google Scholar
• Gaver D P, Jacobs P A, Latouche G. Finite birth-and-death models in randomly changing environments. Adv Appl Probab 1984; 16: 715–731, [CSA]
   Web of Science ®Google Scholar
• Langmuir I. The evaporation, condensation and reflection of molecules and the mechanism of adsorption. Phys Rev 1916; 8: 149–176, [CSA], [CROSSREF]
   Google Scholar
• Langmuir I. The constitution and fundamental properties of solids and liquids. I. Solids. J Am Chem Soc 1916; 38: 2221–2295, [CSA], [CROSSREF]
   Web of Science ®Google Scholar
• Van Slyke D D, Cullen G E. The mode of action of urease and of enzymes in general. J Biol Chem 1914; 19: 141–180, [CSA]
   Google Scholar
• Dynkin E B. Theory of Markov Processes. Pergamon Press, Oxford 1960
   Google Scholar
• Dynkin E B. Markov Processes. Springer-Verlag, Berlin 1965; vol. I
   Google Scholar
• Erlang A K. Løsning af nogle problemer fra Sandsynlighedsregningen af Betydning for de automatiske Telefoncentraler. Elektroteknikeren 1917; 13: 5–13, [For English translation see (73)][CSA]
   Google Scholar
• Erlang A K. Solution of some problems in the theory of probabilities of significance in automatic telephone exchanges. The Post Office Electrical Engineers' Journal 1918; 10: 189–197, [CSA]
   Google Scholar
• Sevastyanov B A. An ergodic theorem for Markov processes and its application to telephone systems with refusals. Theory Probab Appl 1957; 2: 104–112, [CSA], [CROSSREF]
   Google Scholar
• Kröner E. How general is thermodynamics?. J Non-Equilib Thermodyn 1986; 11: 277–293, [CSA]
   Google Scholar
• Beneš V E. On trunks with negative exponential holding times serving a renewal process. Bell System Tech J 1959; 38: 211–258, [CSA]
   Google Scholar
• Kurganov B I. Allosteric Enzymes. Kinetic Behaviour. John Wiley, Chichester 1982
   Google Scholar
• Cornish-Bowden A. Fundamentals of Enzyme Kinetics 3rd ed., , et al. Portland Press, London 2004
   Google Scholar
• Nomenclature Committee of the International Union of Biochemistry. Symbolism and terminology in enzyme kinetics. Recommendations 1981. Eur J Biochem 1982; 128: 281–291, [CSA]
   Google Scholar
• Kühl P W. Allochronic regulation of biocatalysts. Biol Chem 1996; 277(Special Suppl)S204, [CSA]
   Google Scholar
• Bartholomay A F. The general catalytic queue process. Stochastic Models in Medicine and Biology, J Gurland. The University of Wisconsin Press, Madison, WI 1964; 101–145
   Google Scholar
• Bartholomay A F. Chemical kinetics and enzyme kinetics. Foundations of Mathematical Biology, Volume I: Subcellular Systems, R Rosen. Academic Press, New York 1972; 23–213
   Google Scholar
• Smith W K. Two Stochastic Models in Molecular Biology. Ph.D. Thesis, The Johns Hopkins University at Baltimore, MD, University Microfilms International, Ann Arbor, MI 1969
   Google Scholar
• Balea P, Muja A, Tautu P. Un model de asteptare pentru reactia enzima-substrat (= A queueing model for enzyme-substrate reaction). Analele Universitatii Bucuresti. Matematica-Mecanica 1971; 20: 19–25, [CSA]
   Google Scholar
• Smith W. Stochastic models for an enzyme reaction in an open linear system. Bull Math Biophys 1971; 33: 97–115, [PUBMED], [INFOTRIEVE], [CSA]
   Google Scholar
• Blum H. Stochastic processes in messenger RNA turnover. J Theor Biol 1974; 48: 161–171, [PUBMED], [INFOTRIEVE], [CSA], [CROSSREF]
   Google Scholar
• Trenkenshu R P. Kinetics of Substrate-Dependent Biological Reactions with Differences in the Organization of the “Bottleneck of Metabolism”. (Part 1), Academy of Sciences of the USSR, Siberian Branch, Institute of Physics, Krasnoyarsk, Preprint No. 49 B, 1985 (in Russian)
   Google Scholar
• Trenkenshu R P. Kinetics of Substrate-Dependent Biological Reactions with Differences in the Organization of the “Bottleneck of Metabolism”. (Part 2), Academy of Sciences of the USSR, Siberian Branch, Institute of Physics, Krasnoyarsk, Preprint No. 50 B, 1985 (in Russian)
   Google Scholar
• Liljenström H, Blomberg C. Site dependent time optimization of protein synthesis with special regard to accuracy. J Theor Biol 1987; 129: 41–56, [CSA]
   Google Scholar
• Trenkenshu R P. Effect of metabolic bottleneck organization on kinetics of enzyme substrate conversion. Mol Biol 1988; 22: 1170–1177, [CSA]
   Google Scholar
• Trenkenshu R P. Application of the queueing theory to biokinetics. Evolution Modeling and Kinetics: Collection of Scientific Works, Y I Shokin. Nauka, Novosibirsk 1992; 125–160, (in Russian)
   Google Scholar
• Bremer H, Ehrenberg M. Guanosine tetraphosphate as a global regulator of bacterial RNA synthesis: A model involving RNA polymerase pausing and queuing. Biochim Biophys Acta 1995; 1262: 15–36, [PUBMED], [INFOTRIEVE], [CSA]
   PubMedGoogle Scholar
• Iosifescu M, Tautu P. Stochastic Processes and Applications in Biology and Medicine II. Models. Springer-Verlag, Berlin 1973, Bucharest: Editura Academiei
   Google Scholar
• Feldmann U, Schneider B. A general approach to multicompartment analysis and models for the pharmacodynamics. Mathematical Models in Medicine, J Berger, W Bühler, R Repges, P Tautu. = Lecture Notes in Biomathematics, Springer-Verlag, Berlin 1976; Vol. 11: 243–279
   Google Scholar
• Bartholomay A F. A Stochastic Approach to Chemical Reaction Kinetics. S.D. Thesis, School of Public Health, Harvard University, Boston 1957
   Google Scholar
• Bartholomay A F. Stochastic models for chemical reactions. I. Theory of the unimolecular reaction process. Bull Math Biophys 1958; 20: 175–190, [CSA]
   Google Scholar
• Bartholomay A F. A stochastic approach to statistical kinetics with application to enzyme kinetics. Biochemistry 1962; 1: 223–230, [PUBMED], [INFOTRIEVE], [CSA], [CROSSREF]
   PubMed Web of Science ®Google Scholar
• Bartholomay A F. Enzymatic reaction rate theory: A stochastic approach. Ann NY Acad Sci 1962; 96: 897–912, [PUBMED], [INFOTRIEVE], [CSA]
   Google Scholar
• Mazur A K, Kuchinski A V. Schematic methods for probabilistic enzyme kinetics. J Theor Biol 1992; 155: 387–407, [PUBMED], [INFOTRIEVE], [CSA]
   Google Scholar
• Kühl P W. Receptors and enzymes as stochastic service stations. Towards a queue-theoretic foundation of receptor and enzyme kinetics. Pharmacol Res 1995; 31(Suppl)383, [CSA]
   Google Scholar
• Kühl P W. Excitability and refractoriness of enzymes and receptors. A phase-theoretic interpretation of dose-response curves. Eur J Pharmacol 1990; 183: 1547–1548, [CSA], [CROSSREF]
   Google Scholar
• Kühl P W. Excess-substrate inhibition in enzymology and high-dose inhibition in pharmacology: A reinterpretation. Biochem J 1994; 298: 171–180, (Correction: Biochem J 1994, 299, 903)[CSA]
   PubMed Web of Science ®Google Scholar