Limits...
Scaling, growth and cyclicity in biology: a new computational approach.

Delsanto PP, Gliozzi AS, Guiot C - Theor Biol Med Model (2008)

Bottom Line: In nonlinear problems it allows the nonscaling invariance to be retrieved by means of suitable redefined fractal-dimensioned variables.As an example of its implementation, the method is applied to the analysis of human growth curves.The excellent quality of the results (R2 = 0.988) demonstrates the usefulness and reliability of the approach.

View Article: PubMed Central - HTML - PubMed

Affiliation: Dept, Physics, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy. pier.delsanto@polito.it

ABSTRACT

Background: The Phenomenological Universalities approach has been developed by P.P. Delsanto and collaborators during the past 2-3 years. It represents a new tool for the analysis of experimental datasets and cross-fertilization among different fields, from physics/engineering to medicine and social sciences. In fact, it allows similarities to be detected among datasets in totally different fields and acts upon them as a magnifying glass, enabling all the available information to be extracted in a simple way. In nonlinear problems it allows the nonscaling invariance to be retrieved by means of suitable redefined fractal-dimensioned variables.

Results: The main goal of the present contribution is to extend the applicability of the new approach to the study of problems of growth with cyclicity, which are of particular relevance in the fields of biology and medicine.

Conclusion: As an example of its implementation, the method is applied to the analysis of human growth curves. The excellent quality of the results (R2 = 0.988) demonstrates the usefulness and reliability of the approach.

Show MeSH
Interference between U2 and the cyclical term. Interference between U2 and the cyclical term: (a) M = 0, i.e. no cyclical term; (b) M = 1 and ne = ΔT/T = 1, number of periods; (c) M = 1 and ne = 5
© Copyright Policy - open-access
Related In: Results  -  Collection

License
getmorefigures.php?uid=PMC2289804&req=5

Figure 2: Interference between U2 and the cyclical term. Interference between U2 and the cyclical term: (a) M = 0, i.e. no cyclical term; (b) M = 1 and ne = ΔT/T = 1, number of periods; (c) M = 1 and ne = 5

Mentions: To illustrate the interference between an U2 curve (Fig. 2a) and the cyclicity contribution, we show in Fig. 2b and Fig. 2c the b(a) plots in the cases ne = 1 and 5, respectively. In spite of the ellipses' deformation, due to the curvature of the line, the approximate values of ne, ω and A1 can be retrieved and used as initial values for a fitting of , where


Scaling, growth and cyclicity in biology: a new computational approach.

Delsanto PP, Gliozzi AS, Guiot C - Theor Biol Med Model (2008)

Interference between U2 and the cyclical term. Interference between U2 and the cyclical term: (a) M = 0, i.e. no cyclical term; (b) M = 1 and ne = ΔT/T = 1, number of periods; (c) M = 1 and ne = 5
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC2289804&req=5

Figure 2: Interference between U2 and the cyclical term. Interference between U2 and the cyclical term: (a) M = 0, i.e. no cyclical term; (b) M = 1 and ne = ΔT/T = 1, number of periods; (c) M = 1 and ne = 5
Mentions: To illustrate the interference between an U2 curve (Fig. 2a) and the cyclicity contribution, we show in Fig. 2b and Fig. 2c the b(a) plots in the cases ne = 1 and 5, respectively. In spite of the ellipses' deformation, due to the curvature of the line, the approximate values of ne, ω and A1 can be retrieved and used as initial values for a fitting of , where

Bottom Line: In nonlinear problems it allows the nonscaling invariance to be retrieved by means of suitable redefined fractal-dimensioned variables.As an example of its implementation, the method is applied to the analysis of human growth curves.The excellent quality of the results (R2 = 0.988) demonstrates the usefulness and reliability of the approach.

View Article: PubMed Central - HTML - PubMed

Affiliation: Dept, Physics, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy. pier.delsanto@polito.it

ABSTRACT

Background: The Phenomenological Universalities approach has been developed by P.P. Delsanto and collaborators during the past 2-3 years. It represents a new tool for the analysis of experimental datasets and cross-fertilization among different fields, from physics/engineering to medicine and social sciences. In fact, it allows similarities to be detected among datasets in totally different fields and acts upon them as a magnifying glass, enabling all the available information to be extracted in a simple way. In nonlinear problems it allows the nonscaling invariance to be retrieved by means of suitable redefined fractal-dimensioned variables.

Results: The main goal of the present contribution is to extend the applicability of the new approach to the study of problems of growth with cyclicity, which are of particular relevance in the fields of biology and medicine.

Conclusion: As an example of its implementation, the method is applied to the analysis of human growth curves. The excellent quality of the results (R2 = 0.988) demonstrates the usefulness and reliability of the approach.

Show MeSH