A Model of Transport and Metabolism in Neurons

  • C. Topakoglu
  • D. F. Bruley
  • H. E. Gonzalez
  • D. D. Reneau
  • J. H. Halsey
Part of the Advances in Experimental Medicine and Biology book series (AEMB, volume 180)


A mathematical model of the transport and metabolism of oxygen and glucose was developed for the region inside of a neuron and solved using the method of finite elements. Some of the key reactions important to glycolysis were modeled also, as they pertained to the utilizatin of these species. Although this preliminary investigation was carried out using solutions obtained by the incorporation of finite element techniques, ultimately the system is to be solved by application of the stochastic physical method. The benefit of the stochasitc physical approach is that it allows precise mathematical tracking of one particular species as far down as the molecular level. This powerful approach enables the region inside of a neuron to be viewed not as a homogeneous region, but more realistically as the heterogeneous medium of which it consists. Furthermore this allows the conventionally written lumped equations of transport and reaction inside a neuron to be written as distributed equations, thereby enabling more accurate and realistic description of the system.


Glucose Utilization Region Inside Finite Element Technique High Energy Phosphate Rectangular Geometry 
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Copyright information

© Plenum Press, New York 1984

Authors and Affiliations

  • C. Topakoglu
    • 1
  • D. F. Bruley
    • 1
  • H. E. Gonzalez
    • 1
  • D. D. Reneau
    • 1
  • J. H. Halsey
    • 1
  1. 1.Department of Biomedical EngineeringLouisiana Tech UniversityRustonUSA

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