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ON A CELL ENTROPY INEQUALITY OF THE RELAXINGSCHEMES FOR SCALAR CONSERVATION LAWS 被引量:4
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作者 Hua-zhong Tang Hua-mo Wu(State Key Labomtory of Scientific and Engineering Computing, Institute of ComputationalMathematics, Chinese Academy of Sciences, Beijing 100080, China) 《Journal of Computational Mathematics》 SCIE EI CSCD 2000年第1期69-74,共6页
Presents a study which examined a cell entropy inequality for a class of local relaxation approximation relaxing scheme for scalar conservation laws. Way to obtain the scheme; Use of numerical entropy condition for th... Presents a study which examined a cell entropy inequality for a class of local relaxation approximation relaxing scheme for scalar conservation laws. Way to obtain the scheme; Use of numerical entropy condition for the approximation. 展开更多
关键词 hyperbolic conservation laws the relaxing schemes cell entropy inequality
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Invariance and Noises of Shannon Entropy for Information on Oxidative Activity of DNA in All Living Cells for Medical Diagnostics
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作者 Nikolay E. Galich 《American Journal of Operations Research》 2014年第2期72-89,共18页
We analyze oxidative activity of DNA due to fluorescence of chromosomes inside cells, using flow cytometry method with nanometer spatial resolution. Statistics of fluorescence is presented in histogram as frequency di... We analyze oxidative activity of DNA due to fluorescence of chromosomes inside cells, using flow cytometry method with nanometer spatial resolution. Statistics of fluorescence is presented in histogram as frequency distributions of flashes in the dependence on their intensity and in distributions of Shannon entropy, which was defined on the base of normalized distribution of information in original histogram for frequency of flashes. We show that overall sum of entropy, i.e. total entropy E , for any histogram is invariant and has identical trends of changes all values of E(r) = lnr at reduction of histogram’ rank r. This invariance reflects informational homeostasis of chromosomes activity in multi-scale networks of entropy inside all cells in various samples of blood for DNA inside neutrophils, lymphocytes, inside all leukocytes of human and inside chicken erythrocytes for various dyes, colors and various excitations of fluorescence. Informational homeostasis of oxidative activity of 3D DNA in the full set of chromosomes inside living cells exists for any Shannon-Weaver index of biodiversity of cells, at any state of health different beings. Regulation perturbations in information activity DNA provides informational adaptability and vitality of cells at homeostasis support. Noises of entropy, during regulation of informational homeostasis, depend on the states of health in real time. The main structural reconstructions of chromosomal correlations, corresponding to self-regulation of homeostasis, occur in the most large-scale networks of entropy, for rank r<32. We show that stability of homeostasis is supported by activity of all 46 chromosomes inside cells. Patterns, hidden switching and branching in sequences of averages of H?lder and central moments for noises in regulation of homeostasis define new opportunities in diagnostics of health and immunity. All people and all aerobic beings have one overall homeostatic level for countdown of information activity of DNA inside cells. We noted very bad and dangerous properties of artificial cells with other levels of informational homeostasis for all aerobic beings in foods, medical treatment and in biotechnologies. 展开更多
关键词 Averages of Holder for Noises of Shannon entropy in Homeostasis Regulation of Total Shannon entropy entropy and Information of DNA Activity in cells Information entropy for Oxidizing Activity of DNA Informational Homeostasis and Self-Regulation of DNA Activity in cells Noise of Information entropy
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ON THE CENTRAL RELAXING SCHEMES I:SINGLE CONSERVATION LAWS 被引量:2
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作者 Hua-zhong Tang (LSEC, Institute of Computational Mathematics and Scientific /Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100080, China) 《Journal of Computational Mathematics》 SCIE EI CSCD 2000年第3期313-324,共12页
Presents a central relaxing scheme for scalar conservation laws. Details on the preliminary equations; Properties of the relaxed schemes; Conclusions.
关键词 hyperbolic conservation laws the relaxing scheme TVD cell entropy inequality
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