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The bulletin of mathematical biophysics

, Volume 34, Issue 1, pp 53–63 | Cite as

On the stochastic theory of compartments: I. A single-compartment system

  • A. K. Thakur
  • A. Rescigno
  • D. E. Schafer
Article

Abstract

A stochastic model is developed for a compartment with a single time-dependent input, and generalized to include inputs from several sources. With the number of particles of a given molecular species in the compartment as the random variable, the mean, variance and third central moment of this variable are calculated from its generating function, and compared with previous results. The behavior of the calculated moments is discussed, and the possibility of applying the model to chemical and biological systems is considered.

Keywords

Stochastic Model Biophysics Volume Central Moment Stochastic Theory Tracer Kinetic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© N. Rashevsky 1968

Authors and Affiliations

  • A. K. Thakur
    • 1
  • A. Rescigno
    • 2
  • D. E. Schafer
    • 3
  1. 1.Department of Physiology, University of Minnesota and Experimental Surgery LaboratoryVeterans Administration HospitalMinneapolis
  2. 2.Department of PhysiologyUniversity of MinnesotaMinneapolis
  3. 3.Department of Physiology, University of Minnesota and Experimental Surgery LaboratoryVeterans Administration HospitalMinneapolis

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