A statistical analogy between collapse of solids and death of living organisms: Proposal for a 'law of life'

Medical Hypotheses

Volumn 69, Issue 2, 2007, Pages 441-447

  Pugno, Nicola M ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CANCER; CAUSE OF DEATH; CELL DEATH; DETERIORATION; FATIGUE; ONTOGENY; PRIORITY JOURNAL; SICKLE CELL; SOLID; STATISTICAL ANALYSIS; STATISTICAL MODEL;

ANIMALS; DEATH; HUMANS; MODELS, BIOLOGICAL; MODELS, STATISTICAL; STATISTICAL DISTRIBUTIONS;

EID: 34249330695     PISSN: 03069877     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mehy.2006.10.067     Document Type: Article

References (25)

1. Weibul W. A statistical distribution function of wide applicability. J Appl Mech 18 (1951) 293-297
2. Gumbel E.J. Statistics of extremes (1958), Columbia University Press, New York
3. Cherkasov A., Sui S.J.H., Brunham R.C., and Jones S.J.M. Structural characterization of genomes by large scale sequence-structure threading: application of reliability analysis in structural genomics. BMC Bioinformatics 5 (2004) 101-111
4. Krishnan E., Murtagh K., Bruce B., Cline D., Singh G., and Fries J.F. Attrition bias in rheumatoid arthritis databanks: a case study of 6346 patients in 11 databanks and 65,649 administrations of the health assessment questionnaire. J Rheumatol 31 (2004) 1320-1326
5. Wu J.W., Hung W.L., and Tsai C.H. Estimation of parameters of the Gompertz distribution using the least squares method. Appl Math Comput 158 (2004) 133-147
6. Ng S.K., McLachlan G.J., Yau K.K.W., and Lee A.H. Modelling the distribution of ischaemic stroke-specific survival time using an EM-based mixture approach with random effects adjustment. Stat Med 23 (2004) 2729-2744
7. Miceli R., Lusa L., and Mariani L. Revising a prognostic index developed for classification purposes: an application to gastric cancer data. J Appl Stat 31 (2004) 817-830
8. May M., Royston P., Egger M., Justice A.C., and Sterne J.A.C. Development and validation of a prognostic model for survival time data: application to prognosis of HIV positive patients treated with antiretroviral therapy. Stat Med 23 (2004) 2375-2398
9. Weston C.L., Douglas C., Craft A.W., Lewis I.K., and Machin D. Establishing long-term survival and cure in young patients with Ewing's sarcoma. Br J Cancer 91 (2004) 225-232
10. Molina M.G., Sola E., Cabello M., Garcia C., Luna E., and Algarra G.R. Effect of the immunosuppressive treatment on long-term renal graft survival. Nephrol Dial Transplant 19 (2004) 52-56
11. Scalerandi M., Romano A., Pescarmona G.P., Del santo P.P., and Condat C.A. Nutrient competition as a determinant for cancer growth. Phys Rev E 59 (1999) 2206-2217
12. Delsanto P.P., Romano A., Scalerandi M., and Pescarmona G.P. Analysis of a phase transition between tumor growth and latency. Phys Rev E 62 (2000) 2547-2554
13. Scalerandi M., Pescarmona G.P., Delsanto P.P., and Capogrosso Sansone B. Local interaction simulation approach for the response of the vascular system to metabolic changes of cell behavior. Phys Rev E 63 (2000) 011901-011909
14. Capogrosso Sansone B., Delsanto P.P., Magnano M., and Scalerandi M. Effects of anatomical constraints on tumor growth. Phys Rev E 64 (2001) 021903-021908
15. Delsanto P.P., Guiot C., Degiorgis P.G., Condat C.A., Mansury Y., and Deisboeck T.S. A growth model for multicellular tumor spheroids. Appl Phys Lett 85 (2004) 4225-4227
16. West G.B., Brown J.H., and Enquist B.J. A general model for ontogenetic growth. Nature 413 (2001) 628-631
17. Guiot C., Degiorgis P.G., Del santo P.P., Gabriele P., and Deisboeck T.S. Does tumor growth follow a "universal law"?. J Theor Biol 225 (2003) 147-283
18. Carpinteri A., and Pugno N. One-, two- and three-dimensional universal laws for fragmentation due to impact and explosion. J Appl Mech 69 (2002) 854-856
19. Carpinteri A., and Pugno N. Size effects on average and standard deviation values for the mechanical properties of condensed matter: a energy based unified approach. Int J Fract 128 (2004) 253-261
20. Pugno N., and Ruoff R. Quantized fracture mechanics. Philos Mag 84 (2004) 2829-2845
21. Brown H., and West G.B. Scaling laws in biology (2000), Oxford University Press
22. Guiot C., Delsanto P.P., Carpinteri A., Pugno N., Mansury Y., and Deisboeck T.S. The dynamic evolution of the power exponent in a universal growth model of tumors. J Theor Biol 240 (2006) 459-463
23. Carpinteri A., and Pugno N. Are the scaling laws on strength of solids related to mechanics or to geometry. Nat Mater 4 (2005) 421-423
24. Italian National Institute of Statistics data bank: .
25. Batdorf S.B. Fundamentals of the statistical theory of fracture. In: Bradt R.C., Hasselman D.P.H., and Lange F.F. (Eds). Fracture mechanics of ceramics vol. 3 (1978), Plenum Press, New York 1