| 1. |
- Aref’eva, I. Ya., et al.
(författare)
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p-Adic mathematical physics and B. Dragovich research
- 2017
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Ingår i: P-Adic Numbers, Ultrametric Analysis, and Applications. - : Pleiades Publishing. - 2070-0466 .- 2070-0474. ; 9:1, s. 82-85
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Tidskriftsartikel (refereegranskat)abstract
- We present a brief review of some parts of p-adic mathematical physics related to the scientific work of Branko Dragovich on the occasion of his 70th birthday.
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| 2. |
- Lundtoft, Christian, et al.
(författare)
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Strong Association of Combined Genetic Deficiencies in the Classical Complement Pathway With Risk of Systemic Lupus Erythematosus and Primary Sjogren's Syndrome
- 2022
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Ingår i: Arthritis & Rheumatology. - : Wiley. - 2326-5191 .- 2326-5205. ; 74:11, s. 1842-1850
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Tidskriftsartikel (refereegranskat)abstract
- Objective Complete genetic deficiency of the complement component C2 is a strong risk factor for monogenic systemic lupus erythematosus (SLE), but whether heterozygous C2 deficiency adds to the risk of SLE or primary Sjogren's syndrome (SS) has not been studied systematically. This study was undertaken to investigate potential associations of heterozygous C2 deficiency and C4 copy number variation with clinical manifestations in patients with SLE and patients with primary SS. Methods The presence of the common 28-bp C2 deletion rs9332736 and C4 copy number variation was examined in Scandinavian patients who had received a diagnosis of SLE (n = 958) or primary SS (n = 911) and in 2,262 healthy controls through the use of DNA sequencing. The concentration of complement proteins in plasma and classical complement function were analyzed in a subgroup of SLE patients. Results Heterozygous C2 deficiency-when present in combination with a low C4A copy number-substantially increased the risk of SLE (odds ratio [OR] 10.2 [95% confidence interval (95% CI) 3.5-37.0]) and the risk of primary SS (OR 13.0 [95% CI 4.5-48.4]) when compared to individuals with 2 C4A copies and normal C2. For patients heterozygous for rs9332736 with 1 C4A copy, the median age at diagnosis was 7 years earlier in patients with SLE and 12 years earlier in patients with primary SS when compared to patients with normal C2. Reduced C2 levels in plasma (P = 2 x 10(-9)) and impaired function of the classical complement pathway (P = 0.03) were detected in SLE patients with heterozygous C2 deficiency. Finally, in a primary SS patient homozygous for C2 deficiency, we observed low levels of anti-Scl-70, which suggests a risk of developing systemic sclerosis or potential overlap between primary SS and other systemic autoimmune diseases. Conclusion We demonstrate that a genetic pattern involving partial deficiencies of C2 and C4A in the classical complement pathway is a strong risk factor for SLE and for primary SS. Our results emphasize the central role of the complement system in the pathogenesis of both SLE and primary SS.
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| 3. |
- Dragovich, B., et al.
(författare)
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Giorgio Parisi : The Nobel Prize in Physics 2021
- 2022
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Ingår i: P-Adic Numbers, Ultrametric Analysis, and Applications. - : Pleiades Publishing Inc. - 2070-0466 .- 2070-0474. ; 14:1, s. 81-83
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Tidskriftsartikel (övrigt vetenskapligt/konstnärligt)abstract
- Giorgio Parisi awarded with the Nobel Prize in Physics 2021 "for the discovery of the interplay of disorder and fluctuations in physical systems from atomic to planetary scales". We are happy to congratulate Professor Parisi with this award and the recognition of his great scientific achievements. G. Parisi is a member of the Editorial Board of this journal - p-Adic Numbers, Ultrametric Analysis and Applications. In this note, we present a brief review of some his remarkable research ideas and related developments, in particular along ultrametric modeling.
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| 4. |
- Dragovich, B., et al.
(författare)
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On p-adic mathematical physics
- 2009
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Ingår i: P-Adic Numbers, Ultrametric Analysis, and Applications. - Berlin : Springer. - 2070-0466 .- 2070-0474. ; 1:1, s. 1-17
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Forskningsöversikt (refereegranskat)abstract
- A brief review of some selected topics in p-adic mathematical physics is presented.
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| 5. |
- Dragovich, B., et al.
(författare)
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On the Occasion of the Centenary of the Birth of V. S. Vladimirov (1923-2012)
- 2023
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Ingår i: P-Adic Numbers, Ultrametric Analysis, and Applications. - : Springer. - 2070-0466 .- 2070-0474. ; 15:3, s. 243-244
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Tidskriftsartikel (övrigt vetenskapligt/konstnärligt)abstract
- In this note, on the occasion of the centenary of the birth, we are remembering Vasilii Sergeevich Vladimirov as an outstanding scientist and his contributions to pure and applied mathematics, especiallyp-adic analysis and its applications.
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| 6. |
- Dragovich, B., et al.
(författare)
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p-Adic mathematical physics : the first 30 years
- 2017
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Ingår i: P-Adic Numbers, Ultrametric Analysis, and Applications. - : Pleiades Publishing. - 2070-0466 .- 2070-0474. ; 9:2, s. 87-121
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Tidskriftsartikel (refereegranskat)abstract
- p-Adic mathematical physics is a branch of modern mathematical physics based on the application of p-adic mathematical methods in modeling physical and related phenomena. It emerged in 1987 as a result of efforts to find a non-Archimedean approach to the spacetime and string dynamics at the Planck scale, but then was extended to many other areas including biology. This paper contains a brief review of main achievements in some selected topics of p-adic mathematical physics and its applications, especially in the last decade. Attention is mainly paid to developments with promising future prospects.
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| 7. |
- Dragovich, B., et al.
(författare)
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Vasiliy Sergeevich Vladimirov (09.01.1923 – 03.11.2012)
- 2013
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Ingår i: P-Adic Numbers, Ultrametric Analysis, and Applications. - : Pleiades Publishing. - 2070-0466 .- 2070-0474. ; 5:1, s. 83-86
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Tidskriftsartikel (övrigt vetenskapligt/konstnärligt)abstract
- We present a brief biographical review of the scientific work and achievements of Vasiliy Sergeevich Vladimirov on the occasion of his death on November 3, 2012.
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| 8. |
- Kozyrev, S. V., et al.
(författare)
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p-Adic wavelets and their applications
- 2014
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Ingår i: Proceedings of the Steklov Institute of Mathematics. - 0081-5438 .- 1531-8605. ; 285:1, s. 157-196
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Tidskriftsartikel (refereegranskat)abstract
- The theory of p-adic wavelets is presented. One-dimensional and multidimensional wavelet bases and their relation to the spectral theory of pseudodifferential operators are discussed. For the first time, bases of compactly supported eigenvectors for p-adic pseudodifferential operators were considered by V.S. Vladimirov. In contrast to real wavelets, p-adic wavelets are related to the group representation theory; namely, the frames of p-adic wavelets are the orbits of p-adic transformation groups (systems of coherent states). A p-adic multiresolution analysis is considered and is shown to be a particular case of the construction of a p-adic wavelet frame as an orbit of the action of the affine group.
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| 9. |
- Khrennikov, Andrei, 1958-, et al.
(författare)
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2-Adic clustering of the PAM matrix
- 2009
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Ingår i: Journal of Theoretical Biology. - : Elsevier BV. - 0022-5193 .- 1095-8541. ; 261:3, s. 396-406
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Tidskriftsartikel (refereegranskat)abstract
- In this paper we demonstrate that the use of the system of 2-adic numbers provides a new insight to some problems of genetics, in particular, degeneracy of the genetic code and the structure of the PAM matrix in bioinformatics. The 2-adic distance is an ultrametric and applications of ultrametric in bioinformatics are not surprising. However, by using the 2-adic numbers we match ultrametric with a number theoretic structure. In this way we find new applications of an ultrametric which differ from known up to now in bioinformatics.We obtain the following results. We show that the PAM matrix A allows the expansion into the sum of the two matrices A=A(2)+A(∞)A=A(2)+A(∞), where the matrix A(2)A(2) is 2-adically regular (i.e. matrix elements of this matrix are close to locally constant with respect to the discussed earlier by the authors 2-adic parametrization of the genetic code), and the matrix A(∞)A(∞) is sparse. We discuss the structure of the matrix A(∞)A(∞) in relation to the side chain properties of the corresponding amino acids.We introduce the family of substitution matrices A(α,β)=αA(2)+βA(∞)A(α,β)=αA(2)+βA(∞), α,β≥0α,β≥0 which should allow to vary the alignment procedure in order to take into account the different chemical and geometric properties of the amino acids.
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| 10. |
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