The Hosoya polynomial decomposition for catacondensed benzenoid graphs

AbstractFor a graph G with the vertex set V(G), we denote by d(u,v) the distance between vertices u and v in G, by d(u) the degree of vertex u. The Hosoya polynomial of G is H(G)=∑{u,v}⊆V(G)xd(u,v). The partial Hosoya polynomials of G are Hmn(G)=∑{u,v}⊆V(G)d(u)=m,d(v)=nxd(u,v) for positive integer numbers m and n. It is shown that H(G1)−H(G2)=x2(x+1)2(H33(G1)−H33(G2)),H22(G1)−H22(G2)=(x2+x−1)2(H33(G1)−H33(G2)) and H23(G1)−H23(G2)=2(x2+x−1)(H33(G1)−H33(G2)) for arbitrary catacondensed benzenoid graphs G1 and G2 with equal number of hexagons. As an application, we give an affine relationship between H(G) with two other distance-based polynomials constructed by Gutman [I. Gutman, Some relations between distance-based polynomials of trees, Bulletin de l’Académie Serbe des Sciences et des Arts (Cl. Math. Natur.) 131 (2005) 1–7]

Cdc42-Interacting Protein-4 Promotes TGF-Β1-Induced Epithelial-Mesenchymal Transition and Extracellular Matrix Deposition in Renal Proximal Tubular Epithelial Cells

Cdc42-interacting protein-4 (CIP4) is an F-BAR (Fer/CIP4 and Bin, amphiphysin, Rvs) family member that regulates membrane deformation and endocytosis, playing a key role in extracellular matrix (ECM) deposition and invasion of cancer cells. These processes are analogous to those observed during the initial epithelial-mesenchymal transition (EMT) of renal tubular epithelial cells. The role of CIP4 in renal tubular EMT and renal tubulointerstitial fibrosis was investigated over the course of the current study, demonstrating that the expression of CIP4 increased in the tubular epithelia of 5/6-nephrectomized rats and TGF-β1 treated HK-2 cells. Endogenous CIP4 evidenced punctate localization throughout the cytosol, with elevated levels observed in the perinuclear region of HK-2 cells. Subsequent to TGF-β1 treatment, CIP4 expression increased, forming clusters at the cell periphery that gradually redistributed into the cytoplasm. Simultaneously, EMT induction in cells was confirmed by the prevalence of morphological changes, loss of E-cadherin, increase in α-SMA expression, and secretion of fibronectin. Overexpression of CIP4 promoted characteristics similar to those commonly observed in EMT, and small interfering RNA (siRNA) molecules capable of CIP4 knockdown were used to demonstrate reversed EMT. Cumulatively, results of the current study suggest that CIP4 promotes TGF-β1-induced EMT in tubular epithelial cells. Through this mechanism, CIP4 is capable of inducing ECM deposition and exacerbating progressive fibrosis in chronic renal failure

Morphology and metabolism of storage substances contribution to alkali stress responses in two contrasting barley cultivars during germination stage

Abstract: Barley (Hordeum vulgare L.) is a globally significant crop and serves as a pioneer crop for improving saline-alkaline soils due to its salt-alkali tolerant properties. However, the response mechanism of barley to alkali stress remains unclear. In this study, two barley genotypes with contrasting performance under alkali stress were selected: the alkali-tolerant SCMS and the alkali-sensitive QT9919. The morphological and physiological mechanisms of these two barley cultivars in response to alkali stress were elucidated. Results showed that alkali stress inhibited germination in QT9919, leading to significant decreases in germination vigor, plant height and root length. On the other hand, SCMS presented stronger water absorbing capacity than QT9919 under all circumstances. Furthermore, starch degradation and sugar metabolism were suppressed by alkali stress in both barley cultivars through down-regulation of genes expression and reduction of enzymes activities involved in the processes of EMP (Embden-Meyerhof-Parnas), tricarboxylic acid cycle (TCA), and pentose phosphate pathway (PPP). Notably, enzyme activity of hexokinase (HK) and malic dehydrogenase (MDH) showed significant changes under alkali stress between the two barley genotypes. This study provides insights into screening barley germplasm with strong alkali-tolerance and holds significant implications for improving and utilizing of saline-alkaline soils

Genome-Wide Association Study for Plant Height and Grain Yield in Rice under Contrasting Moisture Regimes

Drought is one of the vitally critical environmental stresses affecting both growth and yield potential in rice. Drought resistance is a complicated quantitative trait that is regulated by numerous small effect loci and hundreds of genes controlling various morphological and physiological responses to drought. For this study, 270 rice landraces and cultivars were analyzed for their drought resistance. This was done via determination of changes in plant height and grain yield under contrasting water regimes, followed by detailed identification of the underlying genetic architecture via genome-wide association study (GWAS). We controlled population structure by setting top two eigenvectors and combining kinship matrix for GWAS in this study. Eighteen, five, and six associated loci were identified for plant height, grain yield per plant, and drought resistant coefficient, respectively. Nine known functional genes were identified, including five for plant height (OsGA2ox3, OsGH3-2, sd-1, OsGNA1 and OsSAP11/OsDOG), two for grain yield per plant (OsCYP51G3 and OsRRMh) and two for drought resistant coefficient (OsPYL2 and OsGA2ox9), implying very reliable results. A previous study reported OsGNA1 to regulate root development, but this study reports additional controlling of both plant height and root length. Moreover, OsRLK5 is a new drought resistant candidate gene discovered in this study. OsRLK5 mutants showed faster water loss rates in detached leaves. This gene plays an important role in the positive regulation of yield-related traits under drought conditions. We furthermore discovered several new loci contributing to the three investigated traits (plant height, grain yield, and drought resistance). These associated loci and genes significantly improve our knowledge of the genetic control of these traits in rice. In addition, many drought resistant cultivars screened in this study can be used as parental genotypes to improve drought resistance of rice by molecular breeding

Magnetic Sensing Potential of Fe3O4 Nanocubes Exceeds That of Fe3O4 Nanospheres

This paper highlights the relation between the shape of iron oxide (Fe3O4) particles and their magnetic sensing ability. We synthesized Fe3O4 nanocubes and nanospheres having tunable sizes via solvothermal and thermal decomposition synthesis reactions, respectively, to obtain samples in which the volumes and body diagonals/diameters were equivalent. Vibrating sample magnetometry (VSM) data showed that the saturation magnetization (Ms) and coercivity of 100�5 nm cubic magnetic nanoparticles (MNPs) were, respectively, 1.4�0 and 1.1�4 times those of spherical MNPs on a same-volume and same-body diagonal/diameter basis. The Curie temperature for the cubic Fe3O4 MNPs for each size was also higher than that of the corresponding spherical MNPs; furthermore, the cubic Fe3O4 MNPs were more crystalline than the corresponding spherical MNPs. For applications relying on both higher contact area and enhanced magnetic properties, higher-Ms Fe3O4 nanocubes offer distinct advantages over Fe3O4 nanospheres of the same-volume or same-body diagonal/diameter. We evaluated the sensing potential of our synthesized MNPs using giant magnetoresistive (GMR) sensing and force-induced remnant magnetization spectroscopy (FIRMS). Preliminary data obtained by GMR sensing confirmed that the nanocubes exhibited a distinct sensitivity advantage over the nanospheres. Similarly, FIRMS data showed that when subjected to the same force at the same initial concentration, a greater number of nanocubes remained bound to the sensor surface because of higher surface contact area. Because greater binding and higher Ms translate to stronger signal and better analytical sensitivity, nanocubes are an attractive alternative to nanospheres in sensing applications

Exploration of the Protection of Riboflavin Laurate on Oral Mucositis Induced by Chemotherapy or Radiotherapy at the Cellular Level: What Is the Leading Contributor?

Oral or gastrointestinal mucositis is a frequent phenomenon in cancer patients receiving chemotherapy or radiotherapy. In addition, several clinical investigations have demonstrated in recent years that riboflavin laurate has the potential to protect the patients from the disease induced by chemotherapy or radiotherapy. In our studies, it is observed that riboflavin laurate can ameliorate either chemotherapy- or radiotherapy-induced toxicities on Helf cells, and the effect is greater than that of riboflavin. In addition, riboflavin laurate is able to transport through the Caco-2 cell monolayer as the prototype, indicating the protective effects may be produced by the prototype of riboflavin laurate, rather than simply by the released riboflavin

Extremal Bicyclic Graphs with Respect to Permanental Sums and Hosoya Indices

Graph polynomials is one of the important research directions in mathematical chemistry. The coefficients of some graph polynomials, such as matching polynomial and permanental polynomial, are related to structural properties of graphs. The Hosoya index of a graph is the sum of the absolute value of all coefficients for the matching polynomial. And the permanental sum of a graph is the sum of the absolute value of all coefficients of the permanental polynomial. In this paper, we characterize the second to sixth minimal Hosoya indices of all bicyclic graphs. Furthermore, using the results, the second to sixth minimal permanental sums of all bicyclic graphs are also characterized