DSpace Community: KAIST College of Natural Sciences
http://hdl.handle.net/10203/11
KAIST College of Natural SciencesTue, 26 May 2020 02:50:09 GMT2020-05-26T02:50:09Zl-adic étale cohomology of Shimura varieties of Hodge type with non-trivial coefficients
http://hdl.handle.net/10203/251897
Title: l-adic étale cohomology of Shimura varieties of Hodge type with non-trivial coefficients
Authors: Hamacher, Paul; Kim, Wansuhttp://hdl.handle.net/10203/251897Structural diversity and flexibility of diabodies
http://hdl.handle.net/10203/250479
Title: Structural diversity and flexibility of diabodies
Authors: Kwon, Na-Young; Kim, Youngjin; Lee, Jie-Oh
Abstract: Diabodies are bispecific antibody fragments that have two antigen binding Fv domains. They are unique among hundreds of different formats of bispecific antibodies because they are small and rigid enough to be crystallized. Diabodies are generated by connecting variable regions of heavy and light chains by a peptide linker. Because of the short length of the linker, intramolecular association of the variable regions is not allowed. Instead, the variable regions from the different peptide chains associate together, forming a dimeric complex with two antigen binding sites. Previous crystallographic studies of diabodies demonstrate the extraordinary structural diversity of diabodies. They have also shown that the relative orientation and interaction of the two Fv domains in diabodies have substantial flexibility due to instability of the Fv interface. Introduction of site specific mutations and disulfide bridges can reduce flexibility and therefore increase rigidity and predictability of the diabody structures. These stabilized diabodies will be useful for future application to structural biology and protein nanotechnology.http://hdl.handle.net/10203/250479Chemotactic traveling waves with compact support
http://hdl.handle.net/10203/274129
Title: Chemotactic traveling waves with compact support
Authors: Choi, Sun-Ho; Kim, Yong-Jung
Abstract: A logarithmic model type chemotaxis equation is introduced with porous medium diffusion and a population dependent consumption rate. The classical assumption that individual bacterium can sense the chemical gradient is not taken. Instead, the chemotactic term appears by assuming that the migration distance is inversely proportional to the amount of food if food is the reason for migration. The existence and uniqueness of a traveling wave solution of the model are obtained. In particular, solutions have interfaces that divide into constant and non-constant regions. In particular, the profile of the population distribution has compact support. Numerical simulations are provided and compared with analytic results.Sat, 01 Aug 2020 00:00:00 GMThttp://hdl.handle.net/10203/2741292020-08-01T00:00:00ZOn an optimal quadrature formula for approximation of Fourier integrals in the space L-2((1))
http://hdl.handle.net/10203/273507
Title: On an optimal quadrature formula for approximation of Fourier integrals in the space L-2((1))
Authors: Hayotov, Abdullo R.; Jeon, Soomin; Lee, Chang-Ock
Abstract: This paper deals with the construction of an optimal quadrature formula for approximation of Fourier integrals in the Sobolev space L-2((1)) [a, b] of non-periodic, complex valued functions which are square integrable with first order derivative. Here the quadrature sum consists of linear combination of the given function values in a uniform grid. The difference between the integral and the quadrature sum is estimated by the norm of the error functional. The optimal quadrature formula is obtained by minimizing the norm of the error functional with respect to coefficients. Analytic formulas for optimal coefficients can also be obtained using discrete analogue of the differential operator d(2)/dx(2). In addition, the convergence order of the optimal quadrature formula is studied. It is proved that the obtained formula is exact for all linear polynomials. Thus, it is shown that the convergence order of the optimal quadrature formula for functions of the space C-2[a, b] is O(h(2)). Moreover, several numerical resudlts are presented and the obtained optimal quadrature formula is applied to reconstruct the X-ray Computed Tomography image by approximating Fourier transforms.Wed, 01 Jul 2020 00:00:00 GMThttp://hdl.handle.net/10203/2735072020-07-01T00:00:00Z