The bulletin of mathematical biophysics

, Volume 29, Issue 1, pp 1–16 | Cite as

Bimolecular systems: I. Linear systems of complexes

  • Vojtech Ličko


A vast number of biologically important processes are based upon bimolecular systems. In these systems intermediate complexes are formed. Bimolecular systems in which no complex-complex interactions occur are called linear systems of complexes. A definition and some characteristic properties of these systems are given here. There may exist a contradiction of Onsager's principle of detailed balancing in these systems; however, no principal differences are found between the steady state behavior of an open system and that of a closed system. It is shown that the steady state behavior of a linear system of complexes of arbitrary complexity has some similarities with the steady state behavior of a simple bimolecular system, e.g., Michaelis-Menten enzymatic reaction. Multiplicity of action of the substances participating in biomolecular processes may produce some qualitative differences in the steady state behavior of the system.


Linear System Detailed Balance Multiple Agent Negative Term Positive Term 
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Copyright information

© N. Rashevsky 1967

Authors and Affiliations

  • Vojtech Ličko
    • 2
    • 1
  1. 1.Committee on Mathematical BiologyThe University of ChicagoChicago
  2. 2.Faculty of Natural SciencesComenius UniversityBratislavaCzechoslovakia

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