• The Pure and Applied Mathematics
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• v.14 no.2 s.36
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• pp.127-137
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• 2007

The classical Bohr's inequality states that $|z+w|^2{\leq}p|z|^2+q|w|^2$ for all $z,\;w{\in}\mathbb{C}$ and all p, q>1 with $\frac{1}{p}+\frac{1}{q}=1$. In this paper, Bohr's inequality is generalized to the setting of n-inner product spaces for all positive conjugate exponents $p,\;q{\in}\mathbb{R}$. In. In particular, the parallelogram law is recovered and an interesting operator inequality is obtained.

• Communications of the Korean Mathematical Society
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• v.9 no.4
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• pp.825-830
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• 1994

This paper is concerned with the zeros of successive derivatives of real entire functions. In order to state our results, we introduce the following notations : An entire function which assumes only real values on the real axis is said to be a real entire function. Thus, if a complex number is a zero of a real entire function, then its conjugate is also a zero of the same function.

• Journal of the Chungcheong Mathematical Society
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• v.34 no.3
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• pp.259-269
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• 2021

We shall study the following. Let 𝜙 be an expansive flow on a compact TVS-cone metric space (X, d). First, we give some equivalent ways of defining expansiveness. Second, we show that expansiveness is conjugate invariance. Finally, we prove that lim sup ${\frac{1}{t}}$ log v(t) ≤ h(𝜙), where v(t) denotes the number of closed orbits of 𝜙 with a period 𝜏 ∈ [0, t] and h(𝜙) denotes the topological entropy. Remark that in 1972, R. Bowen and P. Walters had proved this three statements for an expansive flow on a compact metric space [?].

• Biomolecules & Therapeutics
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• v.3 no.2
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• pp.97-103
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• 1995

The purpose of this study was to determine pharmacokinetic parameters of BR-28702-2, a new antineoplastic agent which is the conjugate of nucleotide and phospholipid, and to compare them with those of ara-C. Male rats were cannulated in the left femoral vein and received a single i.v. bolus dose of either BR-28702-2 or ara-C. BR-28702-2 was also administered i.p. and plasma samples were analyzed by reversedphase HPLC. The t$_{1}$2($\beta$)/ of ara-C(1.22 hr.) was significantly smaller than that of BR-28702-2(4.420 hr.). The absolute bioavailability of BR-28702-2 after i.p. injection was 1.125%. This lower bioavailability, together with previous reports that marked antineoplastic activity was observed when given i.p., indicates that BR-28702-2 would act as a depot system to release active moieties. Further works, therefore, need to be done to characterize active metabolites.

• Archives of Pharmacal Research
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• v.21 no.2
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• pp.135-139
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• 1998

High titer rabbit polyclonal antibodies (pAbs) which show a specificity for saikosaponin a (SSA), have been generated. The immunogen used was a conjugate of SSA linked through its glucose moiety to bovine serum albumin by periodate oxidation method. The antibody titers obtained from two rabbits, innoculated with the immunogen, reached a plateau after the fourth and third booster injection, respectively. The specificity of the pAbs was determined by hapten inhibition assays using several SSA-like structures. SSA competitively inhibited the binding of the rabbit anti-SSA pAbs to SSA-ovalbumin on solid phase, a coated antigen on the well. The antibodies showed high specificity to SSA, exhibiting no significant cross-reactivity with any of SSA analogues tested.

• Korean Chemical Engineering Research
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• v.57 no.2
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• pp.164-171
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• 2019

The protonation parameters, dissociation constants ($pK_{BH^+}$) of conjugate acid, slope values (m, ${\phi}$ and $m^*$) and correlation coefficients (r) of hydroxamic acids were determined by Hammett acidity function method, Bunnett-Olsen method and excess acidity method in hydrochloric and perchloric acid solutions. Effect of acid concentration on partition and percentage protonation was also studied. $pK_{BH^+}$ values show that hydroxamic acids do not behave as Hammett bases, but hydroxamic acids behave as weak bases in strong acidic solutions. The values of $pK_{BH^+}$ obtained through Bunnett-Olsen method and excess acidity method were compared with the Hammett acidity function. ChemAxon's MarvinSketch 6.1.5 software was also used for determining $pK_a$, pI and microspecies distribution (%) of hydroxamic acids with pH. Hydrogen donor and acceptor values and logD were also obtained. The results show that N-p-chlorophenyl-4-bromobenzohydroxamic acid has the highest $pK_a$ and lowest logD values. On the contrary, N-phenyl-3,5-dinitrobenzohydroxamic acid has lowest the $pK_a$ and highest logD values.

• Journal of the Korean Mathematical Society
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• v.58 no.6
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• pp.1461-1484
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• 2021

We deal with the following elliptic equations: $\{-div({\varphi}^{\prime}(\left|{\nabla}z\right|^2){\nabla}z)+V(x)\left|z\right|^{{\alpha}-2}z={\lambda}{\rho}(x)\left|z\right|^{r-2}z+h(x,z),\\z(x){\rightarrow}0,\;as\;\left|x\right|{\rightarrow}{\infty},$ in ℝ^N , where N ≥ 2, 1 < p < q < N, 1 < α ≤ p^*q'/p', α < q, 1 < r < min{p, α}, φ(t) behaves like t^q/2 for small t and t^p/2 for large t, and p' and q' the conjugate exponents of p and q, respectively. Here, V : ℝ^N → (0, ∞) is a potential function and h : ℝ^N × ℝ → ℝ is a Carathéodory function. The present paper is devoted to the existence of at least two distinct nontrivial solutions to quasilinear elliptic problems of Schrödinger type, which provides a concave-convex nature to the problem. The primary tools are the well-known mountain pass theorem and a variant of Ekeland's variational principle.

• YAKHAK HOEJI
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• v.42 no.4
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• pp.422-430
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• 1998

In order to study the effects of Rhei rhizoma, Ephedrae herba and Scutellariae radix on hepatic metabolism, we examined the pretreatment effect of those on the metabolism of 7-e thoxycoumarin (EC). Water extracts (1g/kg) of Rhei rhizoma, Ephedrae herba and Scutellariae radix were administered orally to rats for 7 days, respectively. Livers were then isolated and perfused with 100mcM EC for 2 hours. The metabolites of EC, 7-hydroxycoumarin, sulfate conjugate and glucuronide conjugate were measured in the perfusates. The amount of glucuronide conjugates was decreased in Rhei rhizoma pretreated rats (p<0.01), however, 7-hydroxycoumarin was increased in Ephedrae herba pretreated rats (p<0.01). We examined whether the change of enzyme activity is related to the change of cytochrome P4501A1 and P4502B1 mRNA level in the perfused rat liver, which are responsible for EC metabolism. CYP1A1 and CYP2B1 mRNA level was increased, which was was not statistically significant with rhei rhizoma nor ephedrae herba pretreatment. We also assessed the hepatotoxicity of Rhei rhizoma, Ephedrae herba and Scutellariae radix. The activities of ALT and AST were assayed at 24 hours after 7 days administration. Only the ratio of ALT over AST was increased in ephedrae herba pretreated rats (p<0.05). Lipid peroxidation was increased in Rhei rhizoma treatment (p<0.05), while histopathological examination performed after liver perfusion did not show any difference compared with vehicle treatment. These results suggest that Ephedrae herba pretreatment increases the o-deethy-lation of 7-ethoxycoumarin in rats, which may be mediated by CYP1A1 mRNA induction.

• Toxicological Research
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• v.11 no.1
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• pp.23-29
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• 1995

Microsomes from human liver sample HL 110 oxidized aflatoxin $B_1$ $(AFB_1)$ to $AFB_1$ exo-8, 9-epoxide which was detected as a glutathione (GSH) conjugate with excess GSH S-transferase and to aflatoxin $Q_1$ ($AFB_1$; 3$\alpha$-hydroxyafiatoxin $B_1$), and testosterone to 6$\beta$-hydroxytestosterone. Anti-P450 3A4 nearly completely inhibited all of the reactions. Some fiavonoids inhibited all of the reactions. While other fiayonolds stimulated 8, 9-epoxidation and inhibited 3$\alpha$-hydroxylation. Gestodene inhibited all of the reactions when gestodene was metabolized by human liver microsomal P450 3A4 prior to adding substrate. But, ges-todene was added in the enzyme mixtures in the presence of $AFB_1$, it could not inhibit 8, 9-epoxidation of $AFB_1$. Nifedipine and troleandomycin inhibited both of the reactions of $AFB_1$ but only 3$\alpha$-hydroxylation was inhibited by the oxidation product of nifedipine. Although, troleandomycin was known as a mechanism-based inhibitor, the chemical did not show any detectable inhibitory effect on 6$\beta$-hydroxylation of testosterone. The results suggest that there are several different substrate-binding sites on P450 3A4.

• Korean Journal of Animal Reproduction
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• v.19 no.2
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• pp.141-145
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• 1995

The effect of splenectomy on the concentration of progesterone in pregnant wistar rats showing 4-day regular estrous cycles more than two cycles were investigated. The day after mating with the same male animal was designated day 0 of pregnancy. Splenectomy was conducted on day 0 (early-S), 6 (middle-S) and 13 (late-S) of pregnant rat, respectively. Blood sample were collected at day 1, 7, 14 and 21 of pregnancy. Concentraton of serum progesterone was determined by emzyme-linked immunosorbent assay (ELISA) using specific antibodies and emzyme conjugate(progesterone peroxidase labeled). In normal pregnant rats, serum progesterone concentrations were increased significantly (P<0.05) on day 7 and 14 of pregnancy compared with on day 1 of pregnancy and then dramatically decreased on day 21. However in early and middle splenectomized rats, progesterone concentrations were significantly (P<0.05) decreased on day 7 and 14 of pregnancy compared with same day of normal rats. These observations indicate that luteotropic action and steroidogenesis by corpus luteum of ovary may be regulated by splenocytes in rat.