• IMMUNE NETWORK
• /
• v.1 no.3
• /
• pp.236-243
• /
• 2001

Background: An immunological approach for aging mechanism appears to be important. Lymphocyte subsets analysis in peripheral blood is widely performed to assess the immune status and to diagnose and monitor various diseases. Some lymphocyte subsets are known to change with age, but only few data about age-related reference ragnes for these subsets in healthy individuals have been reported. So we attempted to report reference ranges for these subsets in each age group and review changes of the results with age for the secondary studies about immune cell function as lymphocyte blast transformation and immunoglobulin gene rearrangement (VDJ) including recombination activating genes (RAG-1 and RAG-2). Methods: Lymphocyte subset analysis was performed on 302 subjects, 189 males and 113 females with age group of all decades of life. Two color direct immunofluorescene flow cytometry (FCM) was done using $Simultest^{TM}$ IMK-Lymphocyte kit (Becton Dickinson, USA), $FACScan^{TM}$ (Becton Dickinson, USA) and $FACSCalibur^{TM}$ (Becton Dickinson, USA). Lymphocyte subsets analysed were T ($CD3^+$) and B cells ($CD19^+$), helper/inducer T ($CD4^+$) and suppressor/cytotoxic T cells ($CD8^+$), helper/suppressor ($CD4^+/CD8^+$) ratio and natural killer (NK) cells ($CD3^-CD16^+/CD56^+$). The absolute numbers of each subset were calculated from total lymphocyte counts. Data collected was analysed using SAS 6.12. A P-value of < 0.05 was considered significant. Results: We reported the counts and percentages of lymphocyte and these subsets in each age group. There were no statistically significant differences between male and female subjects. The percentage of $CD4^+$ T cells, and the count of NK cells did not show the significant difference among the various age groups. The age-related changes observed in our study were as following: 1) a decrease in the percentages of T cells, B cells and $CD8^+$ T cells ; 2) a decrease in the counts of B cells and $CD8^+$ T cells ; 3) an increase in the percentage and count of NK cells ; and 4) an increase in the $CD4^+/CD8^+$ ratio. Conclusion: The characteristics of aging process appeared to be showing a marked decrease of lympocyte subsets T and B cells as well as T8 ($CD8^+$). The age-related increase of the percentage of cells bearing NK marker can be interpreted as a compensatory consequence to cope with the decrease of T cells related to the thymic involution. These changes with age appeared to be for the secondary study about immune cell function as lymphocyte blast transformation and immunoglobulin gene rearrangement.

• Bulletin of the Korean Mathematical Society
• /
• v.51 no.3
• /
• pp.659-666
• /
• 2014

Let $\mathcal{A}$ be the class of analytic functions f in the open unit disk $\mathbb{U}$={z : ${\mid}z{\mid}$ < 1} with the normalization conditions $f(0)=f^{\prime}(0)-1=0$. If $f(z)=z+\sum_{n=2}^{\infty}a_nz^n$ and ${\delta}$ > 0 are given, then the $T_{\delta}$-neighborhood of the function f is defined as $$TN_{\delta}(f)\{g(z)=z+\sum_{n=2}^{\infty}b_nz^n{\in}\mathcal{A}:\sum_{n=2}^{\infty}T_n{\mid}a_n-b_n{\mid}{\leq}{\delta}\}$$, where $T=\{T_n\}_{n=2}^{\infty}$ is a sequence of positive numbers. In the present paper we investigate some problems concerning $T_{\delta}$-neighborhoods of function in various classes of analytic functions with $T=\{2^{-n}/n^2\}_{n=2}^{\infty}$. We also find bounds for $^{\delta}^*_T(A,B)$ defined by $$^{\delta}^*_T(A,B)=jnf\{{\delta}&gt;0:B{\subset}TN_{\delta}(f)\;for\;all\;f{\in}A\}$$ where A, B are given subsets of $\mathcal{A}$.

• Korean Journal of Mathematics
• /
• v.31 no.1
• /
• pp.35-48
• /
• 2023

Let 𝔼 be a CAT(0) space and K be a nonempty closed convex subset of 𝔼. Let T : K → 𝓟(K) be a multimap such that F(T) ≠ ∅ and ℙ_T(x) = {y ∈ Tx : d(x, y) = d(x, Tx)}. Define sequence {x_n} by x_n+1 = (1 - α)𝜈_n⊕αw_n, y_n = (1 - β)u_n⊕βw_n, z_n = (1-γ)x_n⊕γu_n where α, β, γ ∈ [0; 1]; u_n ∈ ℙ_T (x_n); 𝜈_n ∈ ℙ_T (y_n) and w_n ∈ ℙ_T (z_n). (1) If ℙ_T is quasi-nonexpansive, then it is proved that {x_n} converges strongly to a fixed point of T. (2) If a multimap T satisfies Condition(I) and ℙ_T is quasi-nonexpansive, then {x_n} converges strongly to a fixed point of T. (3) Finally, we establish a weak convergence result. Our results extend and unify some of the related results in the literature.

• Bulletin of the Korean Mathematical Society
• /
• v.33 no.4
• /
• pp.603-611
• /
• 1996

Let consider the following problem: find an element u(t) in a Banach space U from the equation $$ x'(t) = Ax(t) + f(t,x(t)) + \Phi_0 u(t), 0 \leq t \leq T $$ with initial and terminal conditions $$ x(0) = 0, x(T) = \phi $$ in a Banach space X where $\phi \in D(A)$. This problem is a kind of control engineering inverse problem and contains nonlinear term, so that it is difficult and interesting. Thee proof main result in this paper is based on the Fredholm property of [1] in section 3. Similar considerations of linear system have been dealt with in many references. Among these literatures, Suzuki[5] introduced this problem for heat equation with unknown spatially-varing conductivity. Nakagiri and Yamamoto[2] considered the identifiability problem, which A is a unknown operator to be identified, where the system is described by a linear retarded functional differential equation. We can also apply to determining the magnitude of the control set for approximate controllability if X is a reflexive space, i.e., we can consider whether a dense subset of X is covered by reachable set in section 4.

• IMMUNE NETWORK
• /
• v.11 no.6
• /
• pp.406-411
• /
• 2011

Background: Invariant Natural killer T (iNKT) cells, a distinct subset of CD1d-restricted T cells with invariant $V{\alpha}{\beta}$ TCR, functionally bridge innate and adaptive immunity. While iNKT cells share features with conventional T cells in some functional aspects, they simultaneously produce large amount of Th1 and Th2 cytokines upon T-cell receptor (TCR) ligation. However, gene expression pattern in two types of cells has not been well characterized. Methods: we performed comparative microarray analyses of gene expression in murine iNKT cells and conventional $CD4^+CD25^-$ ${\gamma}{\delta}TCR^-$ T cells by using Gene Set Enrichment Analysis (GSEA) method. Results: Here, we describe profound differences in gene expression pattern between iNKT cells and conventional $CD4^+CD25^-$ ${\gamma}{\delta}TCR^-$ T cells. Conclusion: Our results provide new insights into the functional competence of iNKT cells and a better understanding of their various roles during immune responses.

• Journal of applied mathematics & informatics
• /
• v.7 no.2
• /
• pp.605-615
• /
• 2000

Let E be a real Banach space with property (U,${\lambda}$,m+1,m);${\lambda}{\ge}$0; m${\in}N$, and let C be a nonempty closed convex and bounded subset of E. Suppose T: $C{\leftrightarro}C$ is a strongly accretive map, It is proved that each of the two well known fixed point iteration methods( the Mann and Ishikawa iteration methods.), under suitable conditions , converges strongly to a solution of the equation Tx=f.

• Honam Mathematical Journal
• /
• v.19 no.1
• /
• pp.125-130
• /
• 1997

In this paper, we give a characterization of collectionwise normality using continuous functions. More precisely, we give a new and short proof of the Dowker's theorem using selection theory that a $T_1$ space X is collectionwise normal if every continuous mapping of every closed subset F of X into a Banach space can be continuously extended over X. This is also a generalization of Tietze's extension theorem.

• Journal of the Korean Mathematical Society
• /
• v.34 no.4
• /
• pp.1065-1087
• /
• 1997

We prove that there exists a canonical level-preserving isomorphism between the stable Morse homology (or the Morse homology of generating functions) and the Floer homology on the cotangent bundle $T^*M$ for any closed submanifold $N \subset M$ for any compact manifold M.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• v.21 no.2
• /
• pp.81-87
• /
• 2017

In this note, we show that the cone property is satisfied for a class of dissipative equations of the form $u_t={\Delta}u+f(x,u,{\nabla}u)$ in a domain ${\Omega}{\subset}{\mathbb{R}}^2$ under the so called exactness condition for the nonlinear term. From this, we see that the global attractor is represented as a Lipshitz graph over a finite dimensional eigenspace.

• Bulletin of the Korean Mathematical Society
• /
• v.32 no.2
• /
• pp.179-189
• /
• 1995

Let $V \subset R^n$ be a convex homogeneous cone which does not contain straight lines, so that the automorphism group $$ G = Aut(R^n, V)^\circ = { g \in GL(R^n) $\mid$ gV = V}^\circ $$ ($\circ$ denoting the identity component) acts transitively on V. A convex cone V is called "self-dual" if V coincides with its dual $$ (1.1) V' = { x' \in R^n $\mid$ < x, x' > > 0 for all x \in \bar{V} - {0}} $$ where $\bar{V}$ denotes the closure of V.sure of V.