Center for Computational Molecular Biology Seminar
Genome Institute of Singapore | |
Abstract: Our primary interest is to elucidate the structures and dynamics of all functional DNA elements in complex genomes through transcriptome characterizations. To facilitate such understanding we have been developing highly efficient and accurate tag-based DNA sequencing and mapping methodologies to characterize transcripts and transcription regulatory elements in the human genome. We are also pushing to apply these technologies to address complex biological questions such as how cancer cells progress and how stem cells maintain their unique properties. Another major interest in our lab is to discover previously uncharacterized viruses and bacteria that reside in body cavities of human. To this end, we have developed a metagenome analysis capability that use shotgun sequencing and genome sequence assembly techniques to uncover genomes from uncultured microorganisms. We are currently focusing on characterizing the microbiota in human gastrointestinal (GI) system.
Participating Departments:
Applied Mathematics
Computer Science
Ecology and Evolutionary Biology
Molecular Biology, Cell Biology and Biochemistry
Molecular Pharmacology, Physiology and Biotechnology
Special PDE/LCDS Seminar
Abstract: Gross and Pitaevskii proposed to model the dynamics of the Bose-Einstein condensate by a cubic nonlinear Schrödinger equation. This equation plays a key role in the theory and experiments of the Bose-Einstein condensation. The fundamental mathematical question is to derive this equation from the first principle physics law, i.e., the many-body Schrödinger equation. In this talk, I shall review the recent progress concerning this problem and the analytic methods developed for quantum dynamics of many-body systems, including a well-poseness theorem of the cubic nonlinear Schrodinger equation in infinite dimensions.
Brown Analysis Seminar
Abstract: I will present some results about quadratic forms. One is the result about the so-called s-procedure in control theory and its generalizations. The other one is a generalized Young inequality, which is used in harmonic analysis (Bellman functions). All the proof will be elementary, accessible to a first year graduate student. No prior knowledge of control theory of Bellman function is assumed.
Scientific Computing Seminar
Department of Mathematics Colloquium
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