18.Feb.2012Institute of Industrial Science, Univ. Tokyo
Making theory is a ceaseless persue for a better description of the world than ever.
Theory for Intracellular Systems: From nonlinear phenomena to robustness
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".
Link to 2018 lecture page (coming soon)
Link to U Tokyo lecture catalog (coming soon)
Registration form (coming soon)
A list of textbooks & references (coming soon)
Agenda (2016 version)
Guidence & Introduction: Reaction kinetics and networks
Reduction of kinetic models and nonlinear response
Molecular recognition and thermodynamic cost
Topiscs from quantitative embryology
Topiscs from quantitative immunology
Robusness and perfect adaptation in chemotaxis
Phenotypic heterogeneity and abusolute concentration compensation
Special Topics in Mathematical Informatics IV
Theory for Stochastic Cellular Phenomena
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".