Exploring Stochastic Differential Equations and Mathematical Modeling

Delve into the fundamental theory of the brain and cognition grounded in mathematics and physics, focusing on stochastic differential equations like Langevin equations. Understand how these equations combine deterministic and random elements to model systems and their importance as a general starting point consistent with physics principles. Explore the use of various mathematical equations like the Langevin equation, path integral formulation, and the Fokker-Planck equation, converging to the same conclusion despite their different perspectives.