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DNA and its Interactions
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Abstract
The talk will cover various aspects of DNA physics, ranging from single-molecule manipulations and DNA-based nanotechnology, to DNA-protein interactions in vivo.
First, I will discuss how self-interaction of a single-strand DNA (or RNA) molecule affects its response to an external mechanical force. The major result here is that the second-order topological phase transition occurs in the system, and its origin is entropic.
Interactions between complementary DNA strands may have numerous nanotechnological applications. It will be show that even a relatively simple binary system of nanoparticles with DNA-mediated interactions may exhibit rather diverse and unusual equilibrium morphologies, some of which are of great technological importance.
Finally, I will present new results on the classical problem of gene cross-regulation (realized through interactions of DNA with transcription factor proteins). This will include a simple and intuitive "diagrammatic method", which enables one to analyze and engineer rather complicated genetic networks.
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