Sumedha Sumedha talked today about her recent research on biophysics: how to understand transcription factor binding and its relation to how cells operate. The basic question boils down to an interplay of geometry, chemical potential, and the polymer physics (entropy of loops) of say DNA. For simple model systems the outcome is a funny model of random graphs with a link/degree restriction per vertex. Which, can be studied analytically and out comes a percolation transition which can be first or second order.
Later today, we will have a dinner...
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