We introduce the de Sitter Schwarz map for the hypergeometric differential equation as a variant of the classical Schwarz map. This map turns out to be the dual of the hyperbolic Schwarz map, and it unifies the various Schwarz maps studied before. An example is also studied.
Stanniocalcin is a glycoprotein hormone that regulates the calcium level in fish. We found that mRNA of human stanniocalcin 1 (STC-1) is detectable in phytohemagglutinin-stimulated T cells and in most human leukemia cell lines, suggesting a role of STC-1 for cell proliferation. This finding prompts us to study the usefulness of STC-1 for monitoring acute leukemia. The levels of STC-1 transcripts increased in patients with acute leukemia at diagnosis and relapse, as judged by quantitative real-time RT-PCR. Levels of transcripts rapidly decreased to within the cut-off levels, when the blast numbers decreased with chemotherapy. Prolonged elevation of STC-1 levels after treatment was associated with a poor prognosis. All of 7 patients relapsed 1 to 4 months after they showed an elevated level of the transcripts in clinical remission. These results indicate that STC-1 is a novel marker for minimal residual disease of acute leukemia, and for an early diagnosis of relapse.
