Quantitative Analysis of the Model-System

  • Ferdinand Heinmets


The principal limiting factors in setting up a model-system are the following:
  1. a.

    The capacity of the computer, i.e., whether it has a sufficient number of operational units and elements. Since the computer is used as a mathematical tool, but not as a simulating device, the number of differential equations which can be programmed on the computer is one of the limiting factors.

  2. b.

    The ability of the operator to solve the problem. This may be considered one of the most important limiting factors. After a certain amount of experimentation, it was decided to establish a model-system which contained four basic functional genes which represent group-properties. This approach is justified if one considers that the group-property is based on the fact that all basic functional entities are built up with a certain number of integral building blocks, and a complete number of blocks have to be there in order to build a basic functional entity. If one building block is missing, a functional unit cannot be built. Consequently, the group-property will give a cross-behavior of the system. In the initial condition it is assumed that all functional entities have a relative value of unity and as a function of time all entities will start to grow. They reach approximately double value at the end of the generation time, which has been selected as a convenient time interval in the framework of computer observation time. It will be noted that all functional entities do not start to grow at the same rate. Instead, they each have different kinetic characteristics, and many entities may initially decline in absolute value and later grow more rapidly than other elements. The growth of the model-system is initiated from initial conditions by activating the external pool. This process is equivalent to taking cells and placing them in a nutrient medium and measuring their growth.



Functional System Cellular Injury Amino Acid Pool Initial Transient Functional Entity 
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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  1. 1.
    F. Heinmets, J. Theor. Biol. 6: 60 (1964).PubMedCrossRefGoogle Scholar
  2. 2.
    F. Heinmets, Electronic Aspects of Biochemistry (New York: Academic Press, 1964), p. 415.Google Scholar
  3. 3.
    O. Maaløe, and C. G. Kurland, Cell Growth and Cell Division (New York: Academic Press, 1963), p. 93.Google Scholar
  4. 4.
    O. Maaløe, The Bacteria, Vol. IV (New York: Academic Press, 1962), p. 1.Google Scholar
  5. 5.
    J.M. Mitchison, J. Cell. Comp. Physiol., 62: 1 (1963) J. (Suppl. 1, Part II).CrossRefGoogle Scholar
  6. 6.
    J. Monod, and F. Jacob, Cold Spring Harbor Symp. Quant. Biol., 26: 389 (1961).CrossRefGoogle Scholar
  7. 7.
    F. Jacob and J. Monod, J. Mol. Biol., 3: 318 (1961).PubMedCrossRefGoogle Scholar
  8. 8.
    J.D. Watson, Science, 140: 17 (1963).PubMedCrossRefGoogle Scholar
  9. 9.
    O. Greengard, and P. Feigelson, J. Biol. Chem., 236: 158 (1961).PubMedGoogle Scholar
  10. 10.
    W.E. Knox, Trans. N.Y. Acad. Sci., 25: 503 (1963).PubMedCrossRefGoogle Scholar
  11. 11.
    B.D. Davis, and D.S. Feingold, The Bacteria, Vol. IV, (New York: Academic Press, 1962), p. 343.Google Scholar
  12. 12.
    D.E. Lea, Actions of Radiations on Living Cells (Cambridge: Univ. Press, 1947).Google Scholar
  13. 13.
    O. Rahn, Injury and Death of Bacteria by Chemical Agents (Normandy, Missouri: Biodynamica, 1945).CrossRefGoogle Scholar
  14. 14.
    T.H. Wood, Advances in Biological and Medical Physics IV, (New York: Academic Press, 1953).Google Scholar
  15. 15.
    L. H. Gray, The Initial Effects of Ionizing Radiations on Cells, (New York: Academic Press, 1961), p. 21.Google Scholar
  16. 16.
    G.W. Barendsen, ibid., p. 183.Google Scholar
  17. 17.
    H. Marcovich, ibid., p. 173.Google Scholar
  18. 18.
    F. Heinmets, Physiological Concept of Cellular Injury and Death: AAS Symposium Berkeley, California, 1954.Google Scholar
  19. 19.
    F. Heinmets, Int. J. Rad. Biol., 2: 341 (1960).PubMedCrossRefGoogle Scholar
  20. 20.
    F. Heinmets, J.J. Lehman, W. W. Taylor, R.H. Kathan, J. Bact., 67: 511 (1954).PubMedGoogle Scholar
  21. 21.
    F. Heinmets, and R.H. Kathan, Arch. Biochem. Biophys., 53:205(1954).PubMedCrossRefGoogle Scholar
  22. 22.
    F. Heinmets, and J.J. Lehman, Arch. Biochem. Biophys., 59:313(1955).PubMedCrossRefGoogle Scholar
  23. 23.
    R. H. Haynes, “Molecular Localization of Radiation Damage Relevant to Bacterial Inactivation,” Physical Processes in Radiation Biology, (New York: Academic Press, 1964), p. 51f.Google Scholar
  24. 24.
    R.B. Webb, Physical Processes in Radiation Biology, (New York: Academic Press, 1964), p. 267.Google Scholar
  25. 25.
    E. L. Powers, Phys. Med. Biol., 7: 3 (1962).PubMedCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1966

Authors and Affiliations

  • Ferdinand Heinmets
    • 1
  1. 1.Biophysics Laboratory, Pioneering Research DivisionU. S. Army Natick LaboratoriesNatickUSA

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