Absence of eigenvalues for the generalized two-dimensional periodic Dirac operator

Danilov, L. I.

doi:10.1090/s1061-0022-06-00911-3

Cited by 5 publications

(2 citation statements)

References 30 publications

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“…Забарвлення отриманих зрізів здійснювали оглядовими барвниками: гематоксиліном Бемера та еозином. Для візуалізації елементів сполучної тканини застосовували метод фарбування за Ван-Гізоном [7]. З використанням цифрової камери мікропрепарати фотографували на мікроскопі «Nikon Eсliрse E100» (Японія).…”

Section: методикаunclassified

Morphofunctional Changes in the Liver Parenchyma of Rats With the Administration of L-Tryptophan

Yanko¹,

Chaka²,

Safonov³

et al. 2022

Fiziol Zh

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The morphofunctional changes of the liver parenchyma of male Wistar rats after administration of L-tryptophan were investigated. Experimental rats in addition to the standard diet received L-tryptophan at a dose of 80 mg/kg. The duration of the experiment was 28 days. Histological preparations were made from liver tissue according to standard methods. Morphometry was performed on digital images using the computer program “Image J”. The activity of hepatic aminotransferases and albumin concentration were determined in serum by biochemical methods; in liver homogenates determined glucose-6-phosphatase activity and triglyceride concentration; in the suspension of hepatocyte mitochondria determined succinate dehydrogenase activity and protein concentration. Multifrequency bioimpedancemetry was used to assess the biophysical properties of the liver. It was found that the administration of L-tryptophan leads to an increase in the nuclear-cytoplasmic ratio (19%), the number of binuclear hepatocytes (81%), and the relative area of the sinusoid (17%). Aspartate aminotransferase activity decreased in serum of experimental rats and albumin concentration increased. In the homogenate of the liver of these animals, the activity of glucose6-phosphatase and the concentration of triglycerides decreased. Succinate dehydrogenase activity and protein concentration in the hepatocyte mitochondrial suspension increased by 35% and 32%, respectively. The method of multifrequency bioimpedancemetry revealed an increase in the ability of the liver tissue of experimental rats to polarize, namely to increases in reactivity. That is, the administration of L-tryptophan is accompanied by the appearance of morphological, biochemical, and biophysical signs of increased synthetic and regenerative activity of the rat liver parenchyma.

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Section: методикаunclassified

Morphofunctional Changes in the Liver Parenchyma of Rats With the Administration of L-Tryptophan

Yanko¹,

Chaka²,

Safonov³

et al. 2022

Fiziol Zh

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“…Усе більше новітніх наукових даних підтверджують складний взаємозв'язок ожиріння та остеопорозу, які виходять за межі однонаправленої залежності між масою тіла та кістки. Ожиріння впливає на якість кісток і є причиною зниження її мінеральності щільності та більшого ризику переломів [5][6][7][8]. При цьому процес утворення кісткової тканини гальмується, а руйнування, навпаки, -посилюється.…”

Section: вступunclassified

Effect of Obesity on Bone Metabolism

Litovka¹

2021

Fiziol Zh

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The review of current literature presents data on the prevalence of obesity and its impact on bone metabolism. These results suggest that there is a complex multilevel relationship between the skeletal system, adipose tissue and energy metabolism. However, informational analysis of the problem has shown that there are still many unresolved issues regarding the relationship between metabolic and osteopenic syndromes. At the same time, studies of the state of the skeletal system in metabolic syndrome and obesity can contribute to a deeper understanding of the pathogenesis of osteopenic syndrome to develop its treatment and prevention.

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On Absolute Continuity of the Spectrum of a 3D Periodic Magnetic Dirac Operator

Danilov

2011

Integr. Equ. Oper. Theory

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Absolute continuity of the spectrum of a 3D periodic magnetic Dirac operator is proved provided that the magnetic potential A belongs to the space H q loc , q > 1, and the matrix potential V ∈ L 3 loc is represented in the form V = V0 + V1, where V0 commutes and V1 anticommutes with the Dirac matrices αj, j = 1, 2, 3. Mathematics Subject Classification (2010). Primary 35P05, 35Q40; Secondary 81Q10.Keywords. Dirac operator, periodic potential, absolutely continuous spectrum. IntroductionLet M M , M ∈ N, be the linear space of complex (M × M )-matrices, S M the set of Hermitian matrices from M M . Matrices α j ∈ S M , j = 1, . . . , d (d 2), are assumed to satisfy the anticommutation relations α j α l + α l α j = 2δ jl I, where I ∈ M M is the identity matrix and δ jl is the Kronecker delta. Let S M be the subset of S M that consists of matrices L represented in the form L = L 0 + L 1 , where L s ∈ S M and α j L s = (−1) s L s α j for all j = 1, . . . , d, s = 0, 1. Consider the d-dimensional Dirac operator d j=1The matrix function V : R d → S M and the components A j of the magnetic potential A : R d → R d are supposed to be periodic with a common period lattice Λ ⊂ R d . In particular, the matrix function V can be chosen in the form

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Absence of eigenvalues for the generalized two-dimensional periodic Dirac operator

Cited by 5 publications

References 30 publications

Morphofunctional Changes in the Liver Parenchyma of Rats With the Administration of L-Tryptophan

Morphofunctional Changes in the Liver Parenchyma of Rats With the Administration of L-Tryptophan

Effect of Obesity on Bone Metabolism

On Absolute Continuity of the Spectrum of a 3D Periodic Magnetic Dirac Operator

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