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Wyświetlanie 1-15 z 134
Tytuł:
Decompositions of multigraphs into parts with two edges
Autorzy:
Ivančo, Jaroslav
Meszka, Mariusz
Skupień, Zdzisław
Powiązania:
https://bibliotekanauki.pl/articles/743551.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
edge decomposition
multigraph
line graph
1-factor
Opis:
Given a family of multigraphs without isolated vertices, a multigraph M is called -decomposable if M is an edge disjoint union of multigraphs each of which is isomorphic to a member of . We present necessary and sufficient conditions for the existence of such decompositions if comprises two multigraphs from the set consisting of a 2-cycle, a 2-matching and a path with two edges.
Źródło:
Discussiones Mathematicae Graph Theory; 2002, 22, 1; 113-121
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Symmetric Hamilton Cycle Decompositions of Complete Multigraphs
Autorzy:
Chitra, V.
Muthusamy, A.
Powiązania:
https://bibliotekanauki.pl/articles/29788703.pdf
Data publikacji:
2013-09-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
complete multigraph
1-factor
symmetric Hamilton cycle
decomposition
Opis:
Let $n ≥ 3$ and $⋋ ≥ 1$ be integers. Let $⋋K_n$ denote the complete multigraph with edge-multiplicity $⋋$. In this paper, we show that there exists a symmetric Hamilton cycle decomposition of $⋋K_{2m}$ for all even $⋋ ≥ 2$ and $m ≥ 2$. Also we show that there exists a symmetric Hamilton cycle decomposition of $⋋K_{2m} − F$ for all odd $⋋ ≥ 3$ and $m ≥ 2$. In fact, our results together with the earlier results (by Walecki and Brualdi and Schroeder) completely settle the existence of symmetric Hamilton cycle decomposition of $⋋K_n$ (respectively, $⋋K_n − F$, where $F$ is a 1-factor of $⋋K_n$) which exist if and only if $⋋(n − 1)$ is even (respectively, $⋋(n − 1)$ is odd), except the non-existence cases n ≡ 0 or 6 (mod 8) when ⋋ = 1
Źródło:
Discussiones Mathematicae Graph Theory; 2013, 33, 4; 695-707
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On Ramsey $(K_{1,2}, Kₙ)$-minimal graphs
Autorzy:
Hałuszczak, Mariusz
Powiązania:
https://bibliotekanauki.pl/articles/743336.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
Ramsey minimal graph
edge coloring
1-factor
complete graph
Opis:
Let F be a graph and let , denote nonempty families of graphs. We write F → (,) if in any 2-coloring of edges of F with red and blue, there is a red subgraph isomorphic to some graph from G or a blue subgraph isomorphic to some graph from H. The graph F without isolated vertices is said to be a (,)-minimal graph if F → (,) and F - e not → (,) for every e ∈ E(F).
We present a technique which allows to generate infinite family of (,)-minimal graphs if we know some special graphs. In particular, we show how to receive infinite family of $(K_{1,2}, Kₙ)$-minimal graphs, for every n ≥ 3.
Źródło:
Discussiones Mathematicae Graph Theory; 2012, 32, 2; 331-339
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Lower Bound on the Number of Hamiltonian Cycles of Generalized Petersen Graphs
Autorzy:
Lu, Weihua
Yang, Chao
Ren, Han
Powiązania:
https://bibliotekanauki.pl/articles/32083755.pdf
Data publikacji:
2020-02-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
generalized Petersen graph
Hamiltonian cycle
partition number
1-factor
Opis:
In this paper, we investigate the number of Hamiltonian cycles of a generalized Petersen graph $ P(N, k) $ and prove that $ \Psi(P(N,3)) \ge N \cdot \alpha_N $, where $ \Psi (P(N, 3)) $ is the number of Hamiltonian cycles of $P(N, 3)$ and $ \alpha_N $ satisfies that for any $ \epsilon > 0 $, there exists a positive integer $M$ such that when $ N > M $, $ ((1− \epsilon ) \frac{ (1−r^3) }{6r^3+5r^2+3) }( 1/r )^{N+2} < \alpha_N < ( (1+ɛ) \frac{ (1−r^3) }{6r^3+5r^2+3) }( 1/r )^{N+2} $, where $ 1/r = \text{max} \{ | \frac{1}{r_j} | : j=1,2,…,6 \} $, and each $ r_j $ is a root of equation $ x^6 + x^5 + x^3 − 1 = 0 $, $ r \approx 0.782 $. This shows that $ \Psi (P (N, 3) $ is exponential in $N$ and also deduces that the number of 1-factors of $ P(N, 3)$ is exponential in $N$.
Źródło:
Discussiones Mathematicae Graph Theory; 2020, 40, 1; 297-305
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
1-factors and characterization of reducible faces of plane elementary bipartite graphs
Autorzy:
Taranenko, Andrej
Vesel, Aleksander
Powiązania:
https://bibliotekanauki.pl/articles/743201.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
plane elementary bipartite graph
reducible face
perfect matching
1-factor
benzenoid graph
Opis:
As a general case of molecular graphs of benzenoid hydrocarbons, we study plane bipartite graphs with Kekulé structures (1-factors). A bipartite graph G is called elementary if G is connected and every edge belongs to a 1-factor of G. Some properties of the minimal and the maximal 1-factor of a plane elementary graph are given.
A peripheral face f of a plane elementary graph is reducible, if the removal of the internal vertices and edges of the path that is the intersection of f and the outer cycle of G results in an elementary graph. We characterize the reducible faces of a plane elementary bipartite graph. This result generalizes the characterization of reducible faces of an elementary benzenoid graph.
Źródło:
Discussiones Mathematicae Graph Theory; 2012, 32, 2; 289-297
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The role of oligochitosans in akt kinase regulation
Autorzy:
Ignacak, Jan
Wiśniewska-Wrona, Maria
Dulińska-Litewka, Joanna
Pałka, Iwona
Kucharska, Magdalena
Powiązania:
https://bibliotekanauki.pl/articles/1034912.pdf
Data publikacji:
2015
Wydawca:
Sieć Badawcza Łukasiewicz - Polskie Towarzystwo Chitynowe
Tematy:
Akt kinase – PKB
EAT cells proliferation
HIF-1 factor.
M2 pyruvate kinase
Opis:
Among characteristic properties of cancers, there is their increased glycolytic activity.Contrary to normal cells, neoplastic cells use anaerobic glycolysis, even when a sufficient amount of oxygen is available. The intensity of the process is associated with a considerable demand for energy in the form of ATP. Akt, which - acting through the mTOR pathway - activates the HIF-1 factor, which in turn activates hexokinase that participates in glucose phosphorylation, stimulates the transport of glucose to cells via increasing glucose transporters (GLUT) and activates lactate dehydrogenase (which transforms pyruvate to lactate). Chitosan, as well as products of its degradation - oligochitosans - contribute to inhibiting the activity of the Akt kinase, and thus contribute to inhibiting excessive glycolytic activity of Ehrlich ascites tumor (EAT) cells and to decreasing proliferation of these cells.
Źródło:
Progress on Chemistry and Application of Chitin and its Derivatives; 2015, 20; 73-81
1896-5644
Pojawia się w:
Progress on Chemistry and Application of Chitin and its Derivatives
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Coexpression of CAV-1, AT1-R and FOXM1 in prostate and breast cancer and normal cell lines and their influence on metastatic properties
Autorzy:
Kowalska, Karolina
Nowakowska, Magdalena
Domińska, Kamila
Piastowska-Ciesielska, Agnieszka
Powiązania:
https://bibliotekanauki.pl/articles/1038768.pdf
Data publikacji:
2016
Wydawca:
Polskie Towarzystwo Biochemiczne
Tematy:
angiotensin II receptor type 1
caveolin-1
breast adenocarcinoma
forkhead M1 transcription factor
prostate adenocarcinoma
Opis:
The aim of this study was to evaluate the coexpression of caveolin-1 (CAV-1), angiotensin II type 1 receptor (AT1-R) and forkhead box Ml (FOXM1) in prostate and breast cancer cell lines, in comparison with normal cell lines. CAV-1, AT1-R and FOXM1 expression was determined by reverse transcription-quantitative polymerase chain reaction and western blot analysis in the prostate cancer cell lines PC3, DU145 and LNCaP; prostate normal cell line PNT1A; breast cancer cell lines MCF-7 and MDA-MB-231; and the normal breast cell line 184A1. A correlation between the expression levels of the investigated genes and their metastatic properties was determined by the Spearman's rank test (P<0.05) and Aspin-Welsch t-test, respectively. In prostate cell lines, a significant correlation was noted between CAV-1 and AT1-R expression and between FOXM1 and CAV-1 expression. A correlation between the expression levels of the investigated genes and their metastatic potential was also observed, with relatively high expression of all the investigated genes in the normal prostate cell line PNT1A. In comparison to prostate cancer cell lines, an adverse dependency between CAV-1, AT1-R, FOXM1 expression and metastatic potential was observed in the breast cancer cell lines. Relatively high expression of all tested genes was observed in the normal breast cell line 184A1, which was decreasing respectively with increasing metastatic potential of breast cancer cell lines. The results obtained here indicate that CAV-1, FOXM1 and AT1-R may be potential markers of tumorigenesis in certain types of cancer in vitro.
Źródło:
Acta Biochimica Polonica; 2016, 63, 3; 493-499
0001-527X
Pojawia się w:
Acta Biochimica Polonica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The effects of adenoidectomy of serum insulin-like growth factor-1 (IGF-1) and ghrelin in hypertrophied adenoids in children with otitis media with effusion
Autorzy:
Żelazowska-Rutkowska, Beata
Jacewicz, Klaudia
Kasprzycka, Edwina
Skotnicka, Bożena
Cylwik, Bogdan
Powiązania:
https://bibliotekanauki.pl/articles/1397400.pdf
Data publikacji:
2020
Wydawca:
Index Copernicus International
Tematy:
ghrelin
hypertrophied adenoid
insulin-like growth factor-1 (IGF-1)
Opis:
Aim: The aim of the current study was to assess the serum levels of insulin-like growth factor-1 (IGF-1) and ghrelin in hypertrophied adenoids in children suffering with or without otitis media with effusion before and after adenoidectomy. Material and methods: Serum IGF-1 and ghrelin concentrations were measured with specific enzyme-linked immunoassay (ELISA) methods. The study was carried out in 20 children with otitis media with effusion. The reference group comprised 24 children with hypertrophied adenoid, while control group included 19 children. Results: This mean values of IGF-1 in children with otitis media with effusion and children with hypertrophied adenoid before adenoidectomy were significantly lower than those found in healthy children. Serum levels of IGF-1 were higher after adenoidectomy. There was a significant difference of serum ghrelin levels between both examined groups and the control group. Conclusion: Our results suggest that adenoidectomy in children with hypertrophied adenoids and in children with otitis media with effusion significantly increases the level of IGF-1 in serum compared to before surgery through the effect of the GH-IGF-1 axis, which could contribute to children’s growth.
Źródło:
Polish Journal of Otolaryngology; 2020, 74, 4; 13-17
0030-6657
2300-8423
Pojawia się w:
Polish Journal of Otolaryngology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Metal responsive transcription factor 1 (MTF-1) regulates zinc dependent cellular processes at the molecular level
Autorzy:
Grzywacz, Agata
Gdula-Argasińska, Joanna
Muszyńska, Bożena
Tyszka-Czochara, Małgorzata
Librowski, Tadeusz
Opoka, Włodzimierz
Powiązania:
https://bibliotekanauki.pl/articles/1038990.pdf
Data publikacji:
2015
Wydawca:
Polskie Towarzystwo Biochemiczne
Tematy:
metal responsive-transcription factor 1
cell signaling
inflammation
NF-κB
Opis:
Metal responsive transcription factor 1 (MTF-1) is a zinc dependent transcription factor which is involved in the regulation of intracellular signaling pathways. MTF-1 regulates the expression of two streams of genes functioning in metal homeostasis and anti-oxidative response. MTF-1 acts in the process of binding of toxic metal ions in the cell, due to the activation of the expression of metallothioneins (MTs). Additionally, MTF-1 regulates transcription of genes involved in the sequestration of zinc and its intracellular transport. Disruption of zinc and MT homeostasis has an indispensable influence on the development of several pathological states. Moreover, by increasing MT activity, MTF-1 can effectively protect cells from oxidative and hypoxic stresses. The mechanism of MTF-1 action in cells includes the regulation of the proper immune response through activation/repression of anti- and pro-inflammatory cytokines. MTF-1 function in immune response is related to nuclear factor-κB (NF-κB) activity. Synthesis of insulin is also related to the activity of this transcription factor and zinc balance. Insulin transport also depends on zinc. In pancreatic β-cells, several types of the zinc transporters are found. Zinc transporters coordinated action is crucial for the synthesis and secretion of insulin. Disturbances in the regulation of signaling pathways connected with MTF-1 function can entail further alterations in zinc intracellular status and this growing imbalance can promote the pathophysiology of degenerative disorders.
Źródło:
Acta Biochimica Polonica; 2015, 62, 3; 491-498
0001-527X
Pojawia się w:
Acta Biochimica Polonica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On strongly spanning k-edge-colorable subgraphs
Autorzy:
Mkrtchyan, V. V.
Vardanyan, G. N.
Powiązania:
https://bibliotekanauki.pl/articles/255490.pdf
Data publikacji:
2017
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
k-edge-colorable subgraph
maximum k-edge-colorable subgraph
trongly spanning k-edge-colorable subgraph
[1, k]-factor.
Opis:
A subgraph H of a multigraph G is called strongly spanning, if any vertex of G is not isolated in H. H is called maximum k-edge-colorable, if H is proper k-edge-colorable and has the largest size. We introduce a graph-parameter sp(G), that coincides with the smallest k for which a multigraph G has a maximum k-edge-colorable subgraph that is strongly spanning. Our first result offers some alternative definitions of sp(G). Next, we show that Δ (G) is an upper bound for sp(G), and then we characterize the class of multigraphs G that satisfy sp(G) = Δ (G). Finally, we prove some bounds for sp(G) that involve well-known graph-theoretic parameters.
Źródło:
Opuscula Mathematica; 2017, 37, 3; 447-456
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Structure Factor for Quasicrystals - 1D Case
Autorzy:
Kozakowski, B.
Wolny, J.
Powiązania:
https://bibliotekanauki.pl/articles/2036878.pdf
Data publikacji:
2003-07
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
61.44.Br
61.43.-j
61.10.Dp
Opis:
Using a statistical approach a simple formula for the structure factor of decorated Fibonacci chain was derived. Although the used method operates in the physical space only, its equivalence to the higher-dimensional analysis was proved. Applications of the analysis to different decorated structures were also discussed.
Źródło:
Acta Physica Polonica A; 2003, 104, 1; 55-66
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Potential role of transforming growth factor β1 in drug resistance of tumor cells.
Autorzy:
Stoika, Rostyslav
Yakymovych, Mariya
Souchelnytskyi, Serhiy
Yakymovych, Ihor
Powiązania:
https://bibliotekanauki.pl/articles/1043628.pdf
Data publikacji:
2003
Wydawca:
Polskie Towarzystwo Biochemiczne
Tematy:
tumor cells
drug resistance
transforming growth factor b1
Opis:
Acquired drug resistance of tumor cells is frequently observed in cancer patients undergoing chemotherapy. We studied murine leukemia L1210 cells sensitive and resistant to the cytotoxic action of cisplatin and showed that cisplatin-resistant leukemia cells were also refractory to TGF β1-dependent growth inhibition and apoptosis. Addressing the question about the mechanisms responsible for the cross-resistance to cisplatin and TGF β1, we found that cisplatin- and TGF β1-resistant L1210 cells possessed a decreased expression of type I TGF β1 receptor, while the expression of type II TGF β1 receptor was not affected. Western blot analysis of Smad proteins 2, 3, 4, 6, and 7, which participate in signal transduction pathway down-stream of the TGF b1 receptors, revealed an increased expression of Smad 6, inhibiting TGF b1 action, only in cisplatin- and TGF β1-resistant L1210 cells. TGF β1 and especially the cytotoxic mistletoe agglutinin increased Smad 6 expression in TGF β1-sensitive but not in TGF β1-resistant L1210 cells. TGF β1-resistant L1210 cells also differed from TGF β1-sensitive cells by the lack of expression of the pro-apoptotic p53 protein and higher level of expression of the anti-apoptotic Bcl-2 protein. Thus, the described co-expression of tumor cell refractoriness to an anti-cancer drug and to the inhibitory cytokine TGF β1 is accompanied by multiple changes in the TGF β1 signal transduction pathway and in other regulatory systems of the target cells. Besides, we found that various anti-tumor drugs and cytotoxic plant lectins increased the level of TGF b1 expression in both TGF β1-sensitive and -resistant L1210 cells. A hypothesis is proposed that TGF β1 can at least partly mediate the effect of cell-stressing agents and, thus, the development of TGF β1 resistance may be responsible for the appearance of tumor cell refractoriness to the action of some anti-cancer drugs.
Źródło:
Acta Biochimica Polonica; 2003, 50, 2; 497-508
0001-527X
Pojawia się w:
Acta Biochimica Polonica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Homologues of HSV-1 nuclear egress factor UL34 are potential phosphoinositide-binding proteins
Autorzy:
Wyrwicz, Lucjan
Koczyk, Grzegorz
Rychlewski, Leszek
Powiązania:
https://bibliotekanauki.pl/articles/1040842.pdf
Data publikacji:
2008
Wydawca:
Polskie Towarzystwo Biochemiczne
Tematy:
HSV-1
Herpesviridae
phosphoinositides
protein structure prediction
bioinformatics
UL34
nuclear egress
Opis:
During the herpesvirus replication cycle, viral transcription, DNA replication, formation of capsids and DNA packaging occur in the nucleus. The subsequent nuclear egress of newly synthesized nucleocapsids is performed by budding of the inner leaflet of the nuclear membrane, which creates the primary envelope. Although products of two genes conserved throughout the Herpesviridae family (HSV-1 UL34 and UL31) have previously been shown to be involved in the execution of this process, the molecular basis of their activity is not clear. Here we present results of protein structure prediction for the conserved domain of UL34. The applied methodology suggests that this protein adopts a pleckstrin homology (PH) fold to perform its function. A detailed inspection of the ligand binding site strongly supports the hypothesis that UL34 orthologs can recognize phosphoinositides. Since previous works suggest that alterations of UL34 gene product result in a drastic impairment of primary envelopment of HSV-1 and trapping of capsids in the nucleus, the presented data may lead to the development of novel anti-herpetic therapeutic strategies where analogs of phosphoinositides are administered.
Źródło:
Acta Biochimica Polonica; 2008, 55, 1; 207-213
0001-527X
Pojawia się w:
Acta Biochimica Polonica
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 134

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