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A Multicomponent, Random Walk Model of Transport and Metabolism Inside a Neuron

  • R. H. Kufahl
  • T. R. Hanley
  • D. F. Bruley
  • J. H. HalseyJr.
Part of the Advances in Experimental Medicine and Biology book series (AEMB, volume 200)

Abstract

A model of multicomponent transport, consumption, and production of metabolites inside a neuron containing discrete mitochondria and glycolytic enzymes is developed using a random walk model of molecular transport. The ratio of anaerobic to aerobic metabolism which maximizes ATP production under normal, ischemic, and anoxic conditions is calculated. The ratio of the number of mitochondria to glycolytic enzymes which maximizes ATP under normal conditions is also calculated. Because the volume of the neuron is fixed, the sum of the number of mitochondria and glycolytic enzymes is fixed. This constraint is incorporated in the optimization process as an interior penalty function. Some of the advantages of employing the random walk technique are (1) simple stoichiometry can be used to model consumption and production of metabolites, (2) the geometry of the enzyme system and their active sites can be easily included in the model, and (3) saturation of enzymes can be more easily modeled.

Keywords

Random Walk Oxygen Molecule Glycolytic Enzyme Random Walk Model Membrane Boundary 
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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References

  1. Chandrasekhar, S., 1943, Reviews of Modern Physics,15:1–65.CrossRefGoogle Scholar
  2. Feller, W, W., “An Introduction to Probability Theory and Its Applications, Vol. 1, John Wiley and Sons, Inc., New York, NY (1968).Google Scholar

Copyright information

© Plenum Press, New York 1986

Authors and Affiliations

  • R. H. Kufahl
    • 1
  • T. R. Hanley
    • 1
  • D. F. Bruley
    • 2
  • J. H. HalseyJr.
    • 3
  1. 1.Departments of Chemical and Biomedical EngineeringLouisiana Tech UniversityRustonUSA
  2. 2.California Polytechnic State UniversitySan Luis ObispoUSA
  3. 3.University of Alabama at BirminghamBirminghamUSA

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