Entropy and the Shelf Model: A Quantum Physical Approach to a Physical Property

Jungermann, Arnd H.

doi:10.1021/ed083p1686

Cited by 14 publications

(16 citation statements)

References 6 publications

(10 reference statements)

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“…In thermodynamics, entropy [18] is a measure of disorder. The entropy method is a kind of objective weighting method; it calculates the weight of indexes by entropy.…”

Section: Entropy-based Methodsmentioning

confidence: 99%

Cancer classification using entropy analysis in fractional Fourier domain of gene expression profile

Guo

Zhao

2017

Biotechnology & Biotechnological Equipment

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The vast advancement in the field of DNA microarrays has enabled researchers to simultaneously analyse the expression levels of thousands of genes on a single microarray chip. Several datamining methods have been applied in studying the gene expression profiles to distinguish between various sub-types of cancer and types of other diseases. However, accurate diagnosis of cancer sub-types remains a challenge. The gene-by-gene-based approaches are likely to produce chance correlations owing to the high-dimensional nature of the microarray experiments, and the fact that biological phenomena are constantly cyclical and rhythmic. Gene expression is highly regulated and correlations exist between the expressions of different genes; therefore, the cooperativity of genes must be taken into consideration to capture the inherent characteristics of the genome. The present method utilized fractional Fourier transform (FRFT) and entropy-based techniques to extract representative features of the gene expression profile (GEP) and conduct tumour classification using the support vector machine (SVM). The algorithm was tested using four different data-sets. The experimental results reveal that this algorithm has the ability to classify cancers into various types and sub-types with high accuracy.

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“…In thermodynamics, entropy [18] is a measure of disorder. The entropy method is a kind of objective weighting method; it calculates the weight of indexes by entropy.…”

Section: Entropy-based Methodsmentioning

confidence: 99%

Cancer classification using entropy analysis in fractional Fourier domain of gene expression profile

Guo

Zhao

2017

Biotechnology & Biotechnological Equipment

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“…Still, the above-cited paragraph from the work [12] contains some confusion caused by the definition of the "probability of the randomness of individual particles": Its first sentence clearly means that such a probability is equal to nothing else than the • C C quantity, but in all the further sentences the corresponding disjoint event is discussed and then used mathematically. When speaking of and working with thermodynamical parameters like internal energy, entropy and temperature, the advantage of omitting the vague terms like "disorder", "randomness" etc in favour of the microscopic picture of the energy levels and their populations has been thoroughly and persuasively demonstrated [16][17][18][19][20][21][22][23][24][25][26]. In particular, such a stanpoint considers entropy as a number of occupied energy levels in a substance, in the sense of the "storage system for energy": The larger the entropy, the more evenly is the stored energy of the substance distributed over the larger number of the occupied energy levels.…”

Section: Everything New Is Actually Well-forgotten Oldmentioning

confidence: 99%

“…In particular, such a stanpoint considers entropy as a number of occupied energy levels in a substance, in the sense of the "storage system for energy": The larger the entropy, the more evenly is the stored energy of the substance distributed over the larger number of the occupied energy levels. Taking together the conclusions of the works [15][16][17][18][19][20][21][22][23][24][25][26], one can immediately recognize the fundamental relationship between entropy and heat capacity -the change in entropy shows what is changed in the physical-chemical system (the over-all "structure" of energy levels and their occupation), whereas heat capacity explains the modalities of how these changes can be accomplished ("jumps", that is, transitions among the energy levels).…”

Section: Everything New Is Actually Well-forgotten Oldmentioning

confidence: 99%

“…The above-mentioned "imposing/removing constraints" is exactly what is dubbed "structuring" or "organizing" the system, when discussing the notion of "negentropy". The latter can be considered a "stored mobilizable energy in a space-time structured (organized) system" (see, for example, [31]), which is just a logically disjoint statement with regard to the conventional entropy as a measure of spatio-temporal "spreading of energy over all the accessible microstates in thermodynamic equilibrium" [16][17][18][19][20][21][22][23][24][25].…”

Section: Everything New Is Actually Well-forgotten Oldmentioning

confidence: 99%

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Many Faces of Entropy or Bayesian Statistical Mechanics

Starikov

2010

ChemPhysChem

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Some 80-90 years ago, George A. Linhart, unlike A. Einstein, P. Debye, M. Planck and W. Nernst, managed to derive a very simple, but ultimately general mathematical formula for heat capacity versus temperature from fundamental thermodynamic principles, using what we would nowadays dub a "Bayesian approach to probability". Moreover, he successfully applied his result to fit the experimental data for diverse substances in their solid state over a rather broad temperature range. Nevertheless, Linhart's work was undeservedly forgotten, although it represents a valid and fresh standpoint on thermodynamics and statistical physics, which may have a significant implication for academic and applied science.

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“…As can be seen; the dimensions of the physical quantities are simple and explicitly defined. Such system of units solves the conflicts found in the SI system where the units of physical quantities do not correspond to many scientific theories [16,17]. The introduced dimensional system defines a space of three coordinates in which all physical quantities can be represented as points.…”

Section: Comments On the Postulated Dimensional Systemmentioning

confidence: 99%

A Three Dimensional-System of Units

Abdelhady

2010

The International Conference on Applied Mechanics and Mechanica

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In recent years; scientific literatures as textbooks and journals have considered the SI system of units as undesirable in fundamental researches because the SI units of many physical quantities do not correspond to current scientific theories. This paper offers a new system that eliminates redundancies found in the SI system by involving physical concepts that found, by following an entropy approach, common features of the thermal, electrical and magnetic fluxes. The electric potential and the magnetic potentials were expressed as qualities of the electric charge and the magnetic flux in analogy to the temperature that represents, as stated by the second law of thermodynamics, the quality of heat. According to published experimental results; the electric or the magnetic potentials generates an E.M.F. through an Al-Fe thermocouple similar to the E.M.F. generated by a temperature difference in such thermocouple. So; the introduced system considers the generated E.M.F. as a unique dimensionless scale for measuring the qualities or the potentials of the considered energy fluxes. Accordingly, the introduced system of units is based only on three dimensions; E, L, and T, and four fundamental units; Joule, meter, second and the Volt. The postulated system of units introduces also a modified fundamental thermodynamic-equation that offers plausible explanations of the prevailing energy-system interactions in the fields of thermodynamics, electromagnetism and thermo-chemistry

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Entropy and the Shelf Model: A Quantum Physical Approach to a Physical Property

Cited by 14 publications

References 6 publications

Cancer classification using entropy analysis in fractional Fourier domain of gene expression profile

Cancer classification using entropy analysis in fractional Fourier domain of gene expression profile

Many Faces of Entropy or Bayesian Statistical Mechanics

A Three Dimensional-System of Units

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