Skip to main content

2019 | OriginalPaper | Buchkapitel

3. Kinetics

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

We now investigate how to model, and analyze, the interactions of multiple species and how these interactions produce changes in their populations. Examples of such problems are below.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat D. Agnani, P. Acharya, E. Martinez, T.T. Tran, F. Abraham, F. Tobin, J. Bentz, Fitting the elementary rate constants of the P-gp transporter network in the hMDR1-MDCK confluent cell monolayer using a particle swarm algorithm. PLoS ONE 6 (10), e25086-1–e25086-11 (2011) D. Agnani, P. Acharya, E. Martinez, T.T. Tran, F. Abraham, F. Tobin, J. Bentz, Fitting the elementary rate constants of the P-gp transporter network in the hMDR1-MDCK confluent cell monolayer using a particle swarm algorithm. PLoS ONE 6 (10), e25086-1–e25086-11 (2011)
Zurück zum Zitat M. Braun, Differential Equations and Their Applications: An Introduction to Applied Mathematics, 4th edn. (Springer, New York, 1993)CrossRef M. Braun, Differential Equations and Their Applications: An Introduction to Applied Mathematics, 4th edn. (Springer, New York, 1993)CrossRef
Zurück zum Zitat G.E. Briggs, J.B.S. Haldane, A note on the kinetics of enzyme action. Biochem. J. 19, 338–339 (1928)CrossRef G.E. Briggs, J.B.S. Haldane, A note on the kinetics of enzyme action. Biochem. J. 19, 338–339 (1928)CrossRef
Zurück zum Zitat J.C. Butcher, Numerical Methods for Ordinary Differential Equations, 3rd edn. (Wiley, New York, 2016)CrossRef J.C. Butcher, Numerical Methods for Ordinary Differential Equations, 3rd edn. (Wiley, New York, 2016)CrossRef
Zurück zum Zitat R. Engbert, F. Drepper, Chance and chaos in population biology, models of recurrent epidemics and food chain dynamics. Chaos Solutions Fractals 4, 1147–1169 (1994)CrossRef R. Engbert, F. Drepper, Chance and chaos in population biology, models of recurrent epidemics and food chain dynamics. Chaos Solutions Fractals 4, 1147–1169 (1994)CrossRef
Zurück zum Zitat I. Famili, B.O. Palsson, The convex basis of the left null space of the stoichiometric matrix leads to the definition of metabolically meaningful pools. Biophys. J. 85 (1), 16–26 (2003)CrossRef I. Famili, B.O. Palsson, The convex basis of the left null space of the stoichiometric matrix leads to the definition of metabolically meaningful pools. Biophys. J. 85 (1), 16–26 (2003)CrossRef
Zurück zum Zitat R.J. Field, R.M. Noyes, Oscillations in chemical systems. IV. Limit cycle behavior in a model of a real chemical reaction. J. Am. Chem. Soc. 60, 1877–1884 (1974) R.J. Field, R.M. Noyes, Oscillations in chemical systems. IV. Limit cycle behavior in a model of a real chemical reaction. J. Am. Chem. Soc. 60, 1877–1884 (1974)
Zurück zum Zitat R.J. Field, E. Koros, R.M. Noyes, Oscillations in chemical systems. II. Thorough analysis of temporal oscillation in the bromate-cerium-malonic acid system. J. Am. Chem. Soc. 94, 8649–8664 (1972) R.J. Field, E. Koros, R.M. Noyes, Oscillations in chemical systems. II. Thorough analysis of temporal oscillation in the bromate-cerium-malonic acid system. J. Am. Chem. Soc. 94, 8649–8664 (1972)
Zurück zum Zitat D.F. Griffiths, D.J. Higham, Numerical Methods for Ordinary Differential Equations: Initial Value Problems. Springer Undergraduate Mathematics Series (Springer, New York, 2010). ISBN 9780857291486 D.F. Griffiths, D.J. Higham, Numerical Methods for Ordinary Differential Equations: Initial Value Problems. Springer Undergraduate Mathematics Series (Springer, New York, 2010). ISBN 9780857291486
Zurück zum Zitat J.K. Hale, H. Kocak, Dynamics and Bifurcations (Springer, New York, 1996)MATH J.K. Hale, H. Kocak, Dynamics and Bifurcations (Springer, New York, 1996)MATH
Zurück zum Zitat V. Henri, Lois générales de l’action des diastases (Librairie Scientifique A. Hermann, Paris, 1903) V. Henri, Lois générales de l’action des diastases (Librairie Scientifique A. Hermann, Paris, 1903)
Zurück zum Zitat N.E. Henriksen, F.Y. Hansen, Theories of Molecular Reaction Dynamics: The Microscopic Foundation of Chemical Kinetics (Oxford University Press, Oxford, 2008)CrossRef N.E. Henriksen, F.Y. Hansen, Theories of Molecular Reaction Dynamics: The Microscopic Foundation of Chemical Kinetics (Oxford University Press, Oxford, 2008)CrossRef
Zurück zum Zitat M.H. Holmes, Introduction to Scientific Computing and Data Analysis. Texts in Computational Science and Engineering, vol. 13 (Springer, New York, 2016) M.H. Holmes, Introduction to Scientific Computing and Data Analysis. Texts in Computational Science and Engineering, vol. 13 (Springer, New York, 2016)
Zurück zum Zitat P.L. Houston, Chemical Kinetics and Reaction Dynamics (Dover, New York, 2006) P.L. Houston, Chemical Kinetics and Reaction Dynamics (Dover, New York, 2006)
Zurück zum Zitat S.V. Kryatov, E.V. Rybak-Akimova, A.Y. Nazarenko, P.D. Robinson, A dinuclear iron(III) complex with a bridging urea anion: implications for the urease mechanism. Chem. Commun. 11, 921–922 (2000)CrossRef S.V. Kryatov, E.V. Rybak-Akimova, A.Y. Nazarenko, P.D. Robinson, A dinuclear iron(III) complex with a bridging urea anion: implications for the urease mechanism. Chem. Commun. 11, 921–922 (2000)CrossRef
Zurück zum Zitat L. Michaelis, M. Menten, Die kinetik der invertinwirkung. Biochem Z 49, 333–369 (1913) L. Michaelis, M. Menten, Die kinetik der invertinwirkung. Biochem Z 49, 333–369 (1913)
Zurück zum Zitat W. Rudin, Principles of Mathematical Analysis, 3rd edn. (McGraw-Hill, New York, 1976)MATH W. Rudin, Principles of Mathematical Analysis, 3rd edn. (McGraw-Hill, New York, 1976)MATH
Zurück zum Zitat L.A. Segel, M. Slemrod, The quasi-steady-state assumption: A case study in perturbation. SIAM Rev. 31, 446–477 (1989)MathSciNetCrossRef L.A. Segel, M. Slemrod, The quasi-steady-state assumption: A case study in perturbation. SIAM Rev. 31, 446–477 (1989)MathSciNetCrossRef
Zurück zum Zitat S.H. Strogatz, Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry, And Engineering, 2nd edn. (Westview Press, Cambridge, 2014)MATH S.H. Strogatz, Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry, And Engineering, 2nd edn. (Westview Press, Cambridge, 2014)MATH
Zurück zum Zitat T.T. Tran, A. Mittal, T. Aldinger, J.W. Polli, A. Ayrton, H. Ellens, J. Bentz, The elementary mass action rate constants of P-gp transport for a confluent monolayer of MDCKII-hMDR1 cells. Biophys. J. 88, 715–738 (2005)CrossRef T.T. Tran, A. Mittal, T. Aldinger, J.W. Polli, A. Ayrton, H. Ellens, J. Bentz, The elementary mass action rate constants of P-gp transport for a confluent monolayer of MDCKII-hMDR1 cells. Biophys. J. 88, 715–738 (2005)CrossRef
Metadaten
Titel
Kinetics
verfasst von
Mark H. Holmes
Copyright-Jahr
2019
DOI
https://doi.org/10.1007/978-3-030-24261-9_3

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.