Biophysical Chemistry of Fractal Structures and Processes in by P. Baveye

By P. Baveye

Show description

Read Online or Download Biophysical Chemistry of Fractal Structures and Processes in Environmental Systems PDF

Best biophysics books

Vibrational Spectroscopy in Life Science

The authors describe uncomplicated theoretical strategies of vibrational spectroscopy, tackle instrumental elements and experimental approaches, and speak about experimental and theoretical tools for reading vibrational spectra. it truly is proven how vibrational spectroscopy presents details on normal facets of proteins, resembling constitution, dynamics, and protein folding.

Lung Biology in Health and Disease Volume 185 Idiopathic Pulmonary Fibrosis

A dialogue of the epidemiology, scientific positive aspects, and differential diagnoses of idiopathic pulmonary fibrosis (IPF). Key issues comprise the function of polymorphonuclear leukocytes within the pathogenesis of pulmonary fibrosis, and present healing procedures, together with clinical treatment and lung transplantation.

Biophysics of Infection

This e-book describes sleek biophysical suggestions that let us to appreciate and look at dynamic strategies of an infection on the molecular point. state-of-the-art study articles, laboratory protocols, case reviews and updated stories conceal themes corresponding to single-molecule statement of DNA replication fix pathways in E.

Extracellular Potentials in the Hippocampus: Sources and Biophysical Mechanisms

During this thesis, the writer investigates the biophysical foundation of the neighborhood box power (LFP) as a manner of gaining a greater knowing of its underlying physiological mechanisms. the implications signify significant advances in our figuring out and interpretation of LFPs and mind oscillations. They spotlight the significance of utilizing appropriate experimental and analytical ways to discover the job of mind circuits and aspect to the LFP as an invaluable, yet advanced variable for this objective.

Additional info for Biophysical Chemistry of Fractal Structures and Processes in Environmental Systems

Sample text

In other words, the Cantor set has zero length and its topological dimension is zero. Yet it is an uncountable set, containing infinitely many points in any neighborhood of each of its points. Furthermore, one can show that the points PHILIPPE BAVEYE ET AL. 15 of the Cantor set can be put in one-to-one correspondence with those of the initiator [0, 1]; mathematically, P and [0, 1] have the same ‘cardinality’. This raises some very serious questions about the use of traditional dimensions to characterize these two sets, and justifies the labels of ‘monstrous’ and ‘pathological’ that rapidly became associated with the Cantor set.

1). Indeed, he argues that the divider dimension does not have a precise metric meaning in these cases. g. 14 (p. 736), 32 (p. 334)]. e. one determines the spatial coordinates of N0 points uniformly distributed along the curve. Then, one centers a ball Br (x) of radius r at some location x on the curve, and one counts the number N(r, x) of sampled points within this ball. 22) This limit may also be viewed as the measure or ‘mass’ of the curve that is contained in the ball Br (x). 23) and the ratio ln μ(Br (x))/ ln r is termed in this case the Hölder [36], coarse Hölder [37] or Lipschitz–Hölder exponent [34].

A number of alternative dimensions have been proposed to overcome the difficulties associated with the traditional box-counting dimension DBC . They include the lower and upper modified box-counting dimensions [5] and the packing or Tricot dimension [5, 33, 34]. Unfortunately, these dimensions reintroduce all the difficulties of calculation associated with DH , and in some cases are even more awkward to use! One key advantage of the box-counting dimension DBC over the similarity dimension DS is that DBC can be used to evaluate the dimension of self-affine sets.

Download PDF sample

Rated 4.45 of 5 – based on 20 votes