Skip to main content

Simulation of the effects of potassium-channel inhibiting drugs on the duration of cardiac action potentials

  • Conference paper
Book cover Analyse dynamischer Systeme in Medizin, Biologie und Ökologie

Part of the book series: Informatik-Fachberichte ((INFORMATIK,volume 275))

Summary

The mathematical model of DIFRANCESCO and NOBLE (6) is a complex summary of experimental knowledge about electrophysiological processes in cardiac cell membranes. A simulation series was performed describing the role of theoretical model support in a concrete pharmacological problem giving rise to possible interpretation of our own experimental results compared to contradictory data from the literature. Model simulation suggest that the effects of potassium channel inhibiting substances on cardiac action potentials may be dependent on the duration of the action potential itself or the underlying individual constellation of ionic current components.

Zusammenfassung

Das mathematische Modell von DIFRANCESCO und NOBLE (6) stellt eine komplexe Zusammenfassung experimenteller Erkenntnisse von den elektrophysiologischen Vorgängen an Herzzellmembranen dar. Zu einer konkreten pharmakologischen Fragestellung wird eine Simulationsstudie beschrieben, die zur möglichen Erklärung eigener und scheinbar widersprüchlicher Resultate aus der Literatur geführt hat. Dabei ergab sich, daß die Wirkung von Substanzen, welche die Kaliumionenkanäle blockieren, auf das kardiale Aktionspotential verschiedenartig ausfällt in Abhängigkeit von der Dauer der Aktionspotentiale bzw. der aktuellen Konstellation verschiedener Stromkomponenten eines Zellsystems.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature

  1. Beeler, G.W., Reuter, H. Reconstruction of the action potential of ventricular myocardial fibres. J. Physiol., Lond., 268, 177–210 (1977).

    Google Scholar 

  2. Berger, F., Borchard, U., Hafner, D. Effects of (+)- and (±)-sotalol on repolarizing outward currents and pacemaker current in sheep cardiac Purkinje fibres. Naunyn-Schmiedeberg’s Arch. Pharmacol. 340, 696–704 (1989)

    Google Scholar 

  3. Berger, F., Borchard, U., Hafner, D., Kammer, T., Weis, T. Transient outward current blockade and correlated effects on action potential duration in sheep cardiac Purkinje fibres. Submitted for publications Naunyn-Schmiedeberg’s Arch. Pharmacol. (1990)

    Google Scholar 

  4. Bristow, D.G., Clark, J.W. A mathematical model of primary pacemaking cell in SA node of the heart. Am. J. Physiol., 243, H207-H218 (1982).

    Google Scholar 

  5. Coraboeuf, E., Carmeliet, E. Existence of two transient outward currents in sheep cardiac Purkinje fibres. Pflügers Archiv 392, 352–359 (1982).

    Article  Google Scholar 

  6. Drancesco, D., Noble, D. A model of cardiac electrical activity incorporating ionic pumps and concentration changes. Phil. Trans. R. Soc. Lond. B 307, 353–398 (1985).

    Article  Google Scholar 

  7. Fedida, D., Boyett, M.R. Mechanism underlying the shortening of the action potential at high and low stimulation rates in sheep Purkinje fibres. Proc. R. Soc. Lond. B 225, 481–502 (1985).

    Article  Google Scholar 

  8. Hafner, D., Berger, F., Borchard, U. Simulation in electrophysiological pharmacologys Specific interactions of antiarrhythmic agents with ion channels of the cardiac cell membrane. In: Advances in System Analysis, D.P.F. Möller (Ed.), Vieweg-Verlag Braunschweig/Wiesbaden (1987).

    Google Scholar 

  9. Hodgkin, A.L., Huxley, A.F. A quantitative description of membrane current and its application to conduction and excitation in nerve. J. Physiol., Lond., 117, 500–544 (1952).

    Google Scholar 

  10. Kenyon, J., Gibbons, W.R. 4-Aminopyridine and the early outward current of sheep cardiac Purkinje fibres. J. Gen. Physiol. 73, 139–157 (1979).

    Article  Google Scholar 

  11. McAllister, R.E., Noble, D., Tsien, R.W. Reconstruction of the electrical activity of cardiac Purkinje fibres. J. Physiol., Lond., 251, 1–59 (1975).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Hafner, D., Berger, F., Borchard, U., Stöcker, K. (1991). Simulation of the effects of potassium-channel inhibiting drugs on the duration of cardiac action potentials. In: Möller, D.P.F., Richter, O. (eds) Analyse dynamischer Systeme in Medizin, Biologie und Ökologie. Informatik-Fachberichte, vol 275. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77020-3_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-77020-3_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54669-6

  • Online ISBN: 978-3-642-77020-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics