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Explore the statistical physics principles governing biological networks through the lens of scaling and criticality in this advanced physics lecture. Delve into how biological systems exhibit critical behavior and scaling laws that can be understood through statistical physics frameworks. Examine the mathematical foundations and theoretical models that describe collective behavior in biological networks, from neural systems to cellular networks. Learn how phase transitions and critical phenomena manifest in living systems and discover the universal principles that govern biological organization across different scales. Investigate the connections between statistical mechanics and biological function, including how criticality may optimize information processing and network performance in biological contexts. Analyze specific examples of biological networks that demonstrate scaling behavior and critical dynamics, with emphasis on the theoretical tools needed to characterize these phenomena.
