Mathematical Description of Biological Structures - 2/4

This lecture, the second in a series of four, explores the mathematical interpretation of biological language and concepts, delivered by Misha Gromov at the Institut des Hautes Etudes Scientifiques (IHES). Delve into the mathematical foundations underlying biological structures and processes across scales from subcellular components to evolutionary population dynamics. Examine key concepts including biological information (beyond Shannon's theory), descriptional complexity (distinct from Kolmogorov complexity), biological structures and their functions, biological purpose, information encoding in DNA and RNA, signal transmission through matter/energy processes, program control mechanisms, and biological structure formation through network flows like transcription, translation, and protein folding. Discover how formalizing biological language could advance genetic engineering applications, particularly in CRISPR technology and phage-assisted continuous evolution. This comprehensive 1-hour 55-minute presentation bridges mathematics and biology, offering researchers and students valuable insights into the mathematical description of living systems.