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A Nonlinear Systems Model for the Control Mechanism of Free Fatty Acid-Glucose Metabolism in Normal Humans


Srinivasan, Ramachandra (1969) A Nonlinear Systems Model for the Control Mechanism of Free Fatty Acid-Glucose Metabolism in Normal Humans. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/CV4F-WW33.


A mathematical model is proposed in this thesis for the control mechanism of free fatty acid-glucose metabolism in healthy individuals under resting conditions. The objective is to explain in a consistent manner some clinical laboratory observations such as glucose, insulin and free fatty acid responses to intravenous injection of glucose, insulin, etc. Responses up to only about two hours from the beginning of infusion are considered. The model is an extension of the one for glucose homeostasis proposed by Charette, Kadish and Sridhar (Modeling and Control Aspects of Glucose Homeostasis. Mathematical Biosciences, 1969). It is based upon a systems approach and agrees with the current theories of glucose and free fatty acid metabolism. The description is in terms of ordinary differential equations. Validation of the model is based on clinical laboratory data available at the present time. Finally procedures are suggested for systematically identifying the parameters associated with the free fatty acid portion of the model.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:(Electrical Engineering)
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Electrical Engineering
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Sridhar, Rangasami
Thesis Committee:
  • Unknown, Unknown
Defense Date:28 May 1969
Record Number:CaltechTHESIS:02262016-130953115
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9592
Deposited On:26 Feb 2016 22:58
Last Modified:06 May 2024 22:02

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