LIFESCI 30A Study Guide - Final Guide: Tangent Space, Positive Feedback, Determinism
Document Summary
Know how to do the problems of practice final 4. Know how to do the chemical reaction problem. Positive feedback tends to cause instability, negative feedback tends to ause stability. The composition of functions is only defined when the codomain of the first function is the same as the domain of the second. The range of the first function is contained in the domain of the second function. In this way, the second function can understand as input anything the first function can produce as output. Change equations: each state variable gets a change equation in the model whereas parameters do not get change equations. The interaction of state variables is represented by multiplying them together. The change equations of the model define a function called a vector field from the state space into the tangent space of that model. Determinism as a consequence of the fact that a vector field is a function.
