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Making theory is a ceaseless persue for a better description of the world than ever.
In this lecture, I outline the basic theory for modeling intracellular reactions, mechanisms of nonlinear behaviors, and principles of biological robustness. You are supposed to have the knowledge on linear algebra, analysis, mechanics, and kinetics. Assumed participants are those who want to learn basic theory for modeling intracellular phenomena. All the topics described in this lecture are described only with deterministic equations. For more advanced topics on stochastic cellular phenomena, take "Special Topics in Mathematical Informatics IV".
In this lecture, I describe who to model, analyze, and understand the stochastic aspects of cellular phenomena, together with an introduction of related knowledge on stochastic processes, statistics, and stochastic dynamical systems. The participants are supposed to have sufficient knowldge on linear algebra, analytics, functional analysis, statistics, mechanics, statistical physics, informatics, and so on. The lecture starts with a stochastic description of cellular phenomena. For more basic topics on cellular phenomena, take "2018 Theoretical Biology".