Cancer Clonality and Field Theory

  • G. T. Matioli
Part of the Haematology and Blood Transfusion / Hämatologie und Bluttransfusion book series (HAEMATOLOGY, volume 31)


A field theory [1] models malignancy as a state “added” to, and capable of interacting with, other normal states composing the field associated with any living cell. The theory may be downscaled from the (multi) cellular to the level of topologically disordered motions of chromatin and DNA strings occurring before or at interphase when chromatids are iteratively dilated in cells mitotically driven by a potential from special “source” cells. Clonal development of tumors might result from the extremely low efficiency with which the driving potential activates its corresponding gene(s) P in one (or exceedingly few) source-dependent cell. Most normal cells are assumed to have gene P “curled up” in some nonexpressed configuration in a segment j (say) within a lattice or plaquette unfolded from crumpled preimages during chromatid decondensation [11–13].


Clonal Development Peano Curve Negative Gaussian Curvature Menger Sponge String Segment 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Matioli GT (1982) Annotation on stem cells and differentiation fields. Differentiation 21:139PubMedCrossRefGoogle Scholar
  2. 2.
    De-Gennes P (1979) Scaling concepts in polymer physics. Cornell University Press, IthacaGoogle Scholar
  3. 3.
    Suzuki M (1983) Brownian motion with geometrical restrictions. In: Yonezawa F, Ninomiya T (eds) Topological disorder in condensed matter. Springer, Berlin Heidelberg New York Tokyo (Springer series in solid-state sciences, vol 46)Google Scholar
  4. 4.
    Coniglio A, Stanley E (1984) Screening of deeply invaginated clusters and the critical behavior of the random superconducting network. Phys Rev Lett 52:1068CrossRefGoogle Scholar
  5. 5.
    Mandelbrot BB (1983) The fractal geometry of nature. Freeman, San FranciscoGoogle Scholar
  6. 6.
    Abraham RH (1985) Dynamics, vol 0–4. Sci Front PressGoogle Scholar
  7. 7.
    Percival I, Richards D (1985) Introduction to dynamics. Cambridge University Press, CambridgeGoogle Scholar
  8. 8.
    Krylov NS (1979) Raboty po obosnovaniiu statisticheskoi fiziki. Princeton University Press, PrincetonGoogle Scholar
  9. 9.
    Lichtenberg AJ, Lieberman MA (1982) Regular and stochastic motion. Springer, Berlin Heidelberg New YorkGoogle Scholar
  10. 10.
    Zaslavsky GM (1985) Chaos in dynamic systems. Harwood, LondonGoogle Scholar
  11. 11.
    Rivier N (1987) Continuous random networks. From graphs to glasses. Adv Phys 36:95CrossRefGoogle Scholar
  12. 12.
    Kantor Y, Kardar M, Nelson DR (1987) Tethered surfaces: Static and dynamics. Phys Rev A 35:3056PubMedCrossRefGoogle Scholar
  13. 13.
    Coniglio A, Majid I, Stanley HE (1987) Conformation of a polymer chain at the “theta” point: Connection to the external perimeter of a percolation cluster. Phys Rev B 35:3617CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • G. T. Matioli
    • 1
  1. 1.USC Medical SchoolLos AngelesUSA

Personalised recommendations