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This paper is devoted to studying the infectious disease management model by using the theory of Markov skeleton process by Zhengting Hou etc, and draw the conclusion that the number of infection at any time in the future is a minimum nonnegative solution of a nonnegative linear equation, so we can forecast the number of infection in an area at any time in the future, a case study has proved the effectiveness of the method.

The Max-min weighted distance sum problem is a new class of location problem, its decision problem is a NP-Complete problem. This paper designs a genetic algorithm by some properties of the problem, and gives the design and selection method of crossover operator, mutation operator and reproduction operator.

According to the matrix representation of cubic NURBS surface, this paper presents a sufficient condition of G1 continuity between two patches of adjacent cubic NURBS surface and provides specific algorithm for control points and weights of NURBS surface.

To detect transcripts encoding the interleukin-6 receptor (IL-6R) molecule lacking the transmembrane (TM) domain, in various cell lines and peripheral blood mononuclear cells (PBMC), we used the polymerase chain reaction (PCR) with primer pairs that flank the TM domain and which were selected to generate a 398-bp fragment. We detected 398-bp and 304-bp DNA molecules in the PCR products of the U1, J22HL60, MT-2, MT-4, U937 and HL60 cell lines and of PBMC isolated from several individuals. The sequencing analysis of both DNA molecules showed that a 94-bp region consisting of the TM domain of IL-6R was deleted in the 304-bp molecule. Moreover, we detected a soluble (s) IL-6R protein of 45 kDa in culture supernatants of the MT-2, MT-4 and U937 cell lines by radioimmunoprecipitation using specific antibodies against sIL-6R. Our results indicate that active deletion of the TM domain by alternative splicing of mRNA represents one mechanism for release of sIL-6R into the culture supernatants of cells, or into serum or urine.