Structured generalized eigenvalue condition numbers for parameterized quasiseparable matrices

Abstract(#br)In this paper, when A and B are {1;1}-quasiseparable matrices, we consider the structured generalized relative eigenvalue condition numbers of the pair $$(A, \, B)$$ ( A , B ) with respect to relative perturbations of the parameters defining A and B in the quasiseparable and the Givens-vector representations of these matrices. A general expression is derived for the condition number of the generalized eigenvalue problems of the pair $$(A,\, B)$$ ( A , B ) , where A and B are any differentiable function of a vector of parameters with respect to perturbations of such parameters. Moreover, the explicit expressions of the corresponding structured condition numbers with respect to the quasiseparable and Givens-vector..

Allergenicity and oral tolerance of enzymatic cross-linked tropomyosin evaluated using cell and mouse models

The enzymatic cross-linking of proteins to form high-molecular-weight compounds may alter their sensitization potential. The IgG-/IgE-binding activity, digestibility, allergenicity, and oral tolerance of cross-linked tropomyosin with tyrosinase (CTC) or horseradish peroxidase (CHP) were investigated. ELISA results demonstrated CTC or CHP reduced its IgE-binding activity by 34.5 ± 1.8 and 63.5 ± 0.6%, respectively. Compared with native tropomyosin or CTC, CHP was more easily digested into small fragments; CHP decreased the degranulation of RBL-2H3 cells and increased endocytosis by dendritic cells. CHP can induce oral tolerance and reduce allergenicity in mice by decreasing IgE and IgG1 levels in serum, the production of T-cell cytokines, and the percentage composition of dendritic cells. These findings demonstrate CHP has more potential of reducing the allergenicity than CTC via influencing the morphology of protein, changing the original method of antigen presentation, modulating the Th1/Th2 immunobalance, and inducing the oral tolerance of the allergen tropomyosin

Effects of vitamin C on inhalation anesthetic isoflurane-induced developmental, neuronal apoptosis in neonatal rats

Developmental abnormalities, neuronal apoptosis and associated cognitive impairment following isoflurane exposure in neonatal rodents have been reported. The study was undertaken to investigate the effect of vitamin C supplementation against isoflurane-induced neurotoxicity. Seven day old rats were exposed to 1.1% isoflurane, or air for 6 hours. Treatment groups were administered with vitamin C (30 mg/kg, orally) from postnatal day 1 (P1) to P10 and were exposed to isoflurane on P7. Isoflurane exposure induced apoptosis was determined by Fluoro-Jade C and terminal deoxynucleotidyl-transferase-mediated 2-deoxyuridine 5-triphosphate nick-end labeling assay. Vitamin C considerably improved memory and learning impairments, modulated neuroapoptosis and improved expressions of brain-derived neurotrophic factor, nerve growth factor, Bcl-xL and decreased activated caspase-3 expressions. Thus, vitamin C effectively offered protection against isoflurane-induced neuronal apoptosis, learning and memory disturbances

An Updated Search of Steady TeV γ−\gamma-Ray Point Sources in Northern Hemisphere Using the Tibet Air Shower Array

Using the data taken from Tibet II High Density (HD) Array (1997 February-1999 September) and Tibet-III array (1999 November-2005 November), our previous northern sky survey for TeV $\gamma-$ray point sources has now been updated by a factor of 2.8 improved statistics. From $0.0^{\circ}$ to $60.0^{\circ}$ in declination (Dec) range, no new TeV $\gamma-$ray point sources with sufficiently high significance were identified while the well-known Crab Nebula and Mrk421 remain to be the brightest TeV $\gamma-$ray sources within the field of view of the Tibet air shower array. Based on the currently available data and at the 90% confidence level (C.L.), the flux upper limits for different power law index assumption are re-derived, which are approximately improved by 1.7 times as compared with our previous reported limits.Comment: This paper has been accepted by hepn

第702回千葉医学会例会・第1内科教室同門会例会 5.

Significance of the difference on evolutionary rates and the number of PTM sites between different types of proteins. (XLSX 9 kb