Tangle analysis of Xer Recombination Mamiko Arai I will introduce the tangle analysis of Xer Recombination, which is worked by Mariel Vazquez, Sean D. Colloms, and De Witt Sumners. Tangle method has been used to analyze the configuration of DNA as well as how the enzyme acts on the circular DNA because electron micrographs of the enzyme-DNA complex do not show the enzyme clearly. In this paper, they prove that there are only three solutions to the tangle equations of the Xer recombination model under reasonable biological assumption. Three solutions correspond to different projection of a single same 3D image. --------------------------------------------------------------- Within Host Models of Virus Dynamics Lisa Soberano Over 200 different viruses, one of which is rhinovirus, are known to cause the common cold. Furthermore, at least 110 identified strains of rhinovirus are responsible for about 35% of all adult colds. We will discuss a model, proposed by Wodarz and Lloyd, for the within host dynamics of rhinovirus infection that incorporates an immune response to the viral infection. A target cell limited model, proposed by Perelson, will also be discussed. This model represents the acute virus dynamics for infections such as influenza. Behavior over time, as well as strengths and weaknesses of the models will be discussed.