Scaling laws and fractality in the framework of a phenomenological approach

Delsanto, Pier Paolo; Gliozzi, Antonio; Bruno, Caterina Letizia Elisabetta; Pugno, Nicola; Carpinteri, Alberto

doi:10.1016/j.chaos.2008.10.014

Cited by 23 publications

(15 citation statements)

References 19 publications

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“…As a result, we have found that the main PUN class studied to date, i.e. U1 and U2 [ 36 - 38 , 41 ], can only predict the overall human growth pattern. For a more realistic description it is necessary to add to it one or more “spurts”, as also suggested by other authors [ 49 ] and well justified on biological grounds.…”

Section: Discussionmentioning

confidence: 99%

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A novel approach to the analysis of human growth

Gliozzi

Guiot

Delsanto

et al. 2012

Theor Biol Med Model

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ObjectivesSeveral formulations have been proposed in order to model human growth from birth to maturity. They are usually based on “ad hoc” heuristic assumptions. In the present contribution we adopt, as an alternative, a completely general (interdisciplinary) approach, based on the formalism of the Phenomenological Universalities (PUN).MethodsThe main PUN class investigated to date, i.e. UN, can only account for the overall growth pattern. For a realistic description it is necessary to add to it one or more “spurts”, as expected on biological grounds, due to the stimulation of growth and sex hormones.ResultsA new PUN class (UN + FM) is generated and shown to be able to provide excellent agreement with standard auxological datasets. The accuracy of the fitting and reliability of the model suggest applications both at the diagnostic and therapeutic level.ConclusionsThe developed formalism can be suitably related to the biological description of bone plate growth under selective hormonal stimulation on the bone epiphysis; i.e., the additional increase of stature is the “macroscopic” response to a well defined biological signal.

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Section: Discussionmentioning

confidence: 99%

“…Such an unbiased procedure may be provided by the Phenomenological Universalities (PUN) approach, recently proposed by P.P. Delsanto and collaborators [ 33 , 34 ] and applied to a wide range of topics (auxology [ 35 ], tumor growth [ 36 , 37 ], nonlinear elasticity [ 38 ], and others [ 39 - 41 ]).…”

Section: The Pun Approachmentioning

confidence: 99%

A novel approach to the analysis of human growth

Gliozzi

Guiot

Delsanto

et al. 2012

Theor Biol Med Model

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“…38,39 Other fitting functions could have been chosen of course; however the formalism discussed in Ref. 38 seems to be more general than other approaches.…”

Section: Nonlinearity and Amplitude Of Conditioningmentioning

confidence: 99%

Nonequilibrium phenomena in damaged media and their effects on the elastic properties

Scalerandi

Gliozzi

Bruno

et al. 2012

The Journal of the Acoustical Society of America

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Concrete, particularly if damaged, exhibits a peculiar nonlinear elastic behavior, which is mainly due to the coupling between nonequilibrium and nonlinear features, the two of which are intrinsically connected. More specifically, the formulation of a constitutive equation able to properly predict the dynamic behavior of damaged concrete is made difficult by the concomitant presence of two mechanisms: The modification of the microstructure of the medium and the transition to a new elastic state caused by a finite amplitude excitation (conditioning). Memory of that new state is kept when the excitation is removed, before relaxation back to the original elastic state takes place. Indeed, besides accounting for linear and nonlinear parameters, a realistic constitutive equation to be used in reliable prediction models should take into account nonequilibrium effects. Specific parameters, sensitive to finite amplitude excitations, should be introduced to provide information about conditioning effects. In this paper, experimental results indicating that nonlinearity of damaged concrete is memory-dependent will be presented and the implications of such findings in the development of physical models, with relevant outcomes for the characterization of hysteretical features, will be discussed.

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“…The class (U2) corresponding to the level n ¼ 2 leads to the growth equation describing different biological growth patterns [9][10][11][12][13]. The classes corresponding to n ¼ 1 and n ¼ 2 have been applied in diversified and unrelated fields [14][15][16][17]. An extension of this approach, termed as complex universality, is characterized [18] and applied to explain the concurrent growth of two phenotypic features [19].…”

Section: Introductionmentioning

confidence: 99%

Phenomenological approach to describe oscillatory growth or decay in different dynamical systems

2016

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The approach of the phenomenological universalities of growth is considered to describe the behaviour of a system showing an oscillatory growth. Two phenomenological classes are proposed to consider the oscillatory behaviour of a system. One of them is showing oscillatory nature with constant amplitude and the other represents oscillatory nature with a change in amplitude. The term responsible for decay (or growth) in amplitude in the proposed class is also been identified. The variations in the nature of oscillation with the dependent parameters are studied in this communication. In this connection, the variation of a specific growth rate is also been considered. The significance of the presence and the absence of each term involved in the phenomenological description are also taken into consideration. These proposed classes might be useful for the experimentalists to extract a characteristic feature from the data set and to develop a suitable model consistent with their data set.

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Scaling laws and fractality in the framework of a phenomenological approach

Cited by 23 publications

References 19 publications

A novel approach to the analysis of human growth

A novel approach to the analysis of human growth

Nonequilibrium phenomena in damaged media and their effects on the elastic properties

Phenomenological approach to describe oscillatory growth or decay in different dynamical systems

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