On the modification of fractal self-space during cell differentiation or tumor progression

Fractals

Volumn 8, Issue 2, 2000, Pages 195-203

  Waliszewski, Przemyslaw ^a   Konarski, Jerzy ^a   Molski, Marcin ^a  

^a ADAM MICKIEWICZ UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037515061     PISSN: 0218348X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218348X00000214     Document Type: Article

References (24)

1. A. B. Pardee, "A Restriction Point for Control of Normal Animal Cell Proliferation," Proc. Natl. Acad. Sci. USA 71, 1286-1290 (1974).
2. J. A. Smith and L. Martin, "Do Cells Cycle?" Proc. Natl. Acad. Sci. USA 73, 748-817 (1973).
3. M. C. Mackey, M. Santavy and P. Selepova, in Nonlinear Oscillations in Biology and Chemistry, eds. H. G. Othmer (Springer Verlag, Berlin, 1986), pp. 34-45.
4. P. Waliszewski, M. Molski and J. Konarski, "On the Holistic Approach in Cellular and Cancer Biology: Nonlinearity, Complexity and Quasi-Determinism of the Dynamic Cellular Network," J. Surg. Oncol. 68, 70-78 (1998).
5. P. Waliszewski, "Complexity, Dynamic Cellular Network and Tumorigenesis," Pol. J. Path. 48(4), 235-241 (1997).
6. N. Goldenfeld and L. P. Kadanoff, "Simple Lessons from Complexity," Science 284, 87-89 (1999).
7. C. S. Potten and M. Loeffler, "Stem Cells: Attributes, Cycles, Spirals, Pitfalls and Uncertainities. Lessons from the Crypt," Development 110, 1001-1020 (1990).
8. E. M. Jones-Villeneuve, M. W. McBurney, K. A. Rogers and V. I. Kalnins, "Retinoic Acid Induces Embryonal Carcinoma Cells to Differentiate into Neurons and Glial Cells," J. Cell Biol. 94(2), 253-262 (1982).
9. M. A. Rudnicki, G. Jackowski, L. Saggin and M. W. McBurney, "Actin and Myosin Expression During Development of Cardiac Muscle from Cultured Embryonal Carcinoma Cells," Dev. Biol. 138(2), 348-358 (1990).
10. M. W. McBurney, "P19 Embryonal Carcinoma Cells," Int. J. Dev. Biol. 37(1), 135-140 (1993).
11. G. Bain, W. J. Ray, M. Yao and D. J. Gottlieb, "From Embryonal Carcinoma Cells to Neurons: The P19 Pathway," Bioessays 16, 343-348 (1994).
12. W. A. Staines, D. J. Morassutti, K. R. Reuhl, A. I. Ally and M. W. McBurney, "Neurons Derived from P19 Embryonal Carcinoma Cells have Varied Morphologies and Neurotransmitters," Neuroscience 58(4), 735-751 (1994).
13. W. A. Staines, J. Craig, K. Reuhl and M. W. McBurney, "Retinoic Acid Treated P19 Embryonal Carcinoma Cells Differentiate into Oligodendrocytes Capable of Myelination," Neuroscience 71(3), 845-853 (1996).
14. M. K. Edwards and M. W. McBurney, "The Concentrations of Retinoic Acid Determines the Differentiated Cell Types Formed by a Teratocarcinoma Cell Line," Dev. Biol. 98(1), 187-191 (1983).
15. M. A. Pratt, J. Kralova and M. W. McBurney, "A Dominant Negative Mutation of the α-Retinoic Acid Receptor Gene in a Retinoic Acid-Nonresponsive Embryonal Carcinoma Cells," Mol. Cell. Biol. 10(12), 6445-6453 (1990).
16. M. A. Pratt, A. W. Langston, L. J. Gudas and M. W. McBurney, "Retinoic Acid Fails to Induce Expression of Hox Genes in Differentiation-Defective Murine Embryonal Carcinoma Cells Carrying a Mutant Gene for α-Retinoic Acid Receptor," Differentiation 53(2), 105-113 (1993).
17. P. Waliszewski, M. Molski and J. Konarski, "Self-Similarity, Collectivity and Evolution of Fractal Dynamics During Retinoid-Induced Differentiation of Cancer Cell Population," Fractals 7(2), 1-11 (1999).
18. H. M. Hastings and G. Sugihara, Fractals. A User's Guide for the Natural Sciences (Oxford University Press, Oxford, 1993).
19. J. B. Bassingthwaighte, L. S. Liebovitch and B. J. West, Fractal Physiology (Oxford University Press, Oxford, 1994).
20. G. A. Losa and T. F. Nonnenmacher, "Self-Similarity and Fractal Irregularity in Pathologic Tissues," Mod. Pathol. 9(3), 174-182 (1996).
21. R. Sedivy, "Fractal Tumours: Their Real and Virtual Images," Wien. Klin. Wochenschr. 108(17), 547-551 (1996).
22. T. G. Jr. Smith, G. D. Lange and W. B. Marks, "Fractal Methods and Results in Cellular Morphology - Dimensions, Lacunarity and Multifractals," J. Neurosci. Methods 69(2), 123-136 (1996).
23. S. S. Cross, "Fractals in Pathology," J. Pathol. 182(1), 1-8 (1997).
24. M. S. H. Ko, "A Stochastic Model for Gene Induction," J. Theor. Biol. 153, 181-194 (1991).