A Glossary for Systems Biology
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HIERARCHY
Glossary
DIFFERENTIATION
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DYNAMIC (BEHAVIOR)
static (behavior), model
The dynamics of a system describe the changes of the system's
variables over time.
For many purposes it is sufficient to consider which steady states
a system has and how it behaves at (static) or near those states
(linearization).
For a non-linear system, linearization is an approximation by a linear
description for a specific equilibrium point. It is valid for local
dynamics around that point, but can not represent the global dynamics
of the original system, nor local dynamics around other equilibrium
points (except special cases). Linear approximations are used because
they are simpler and easier to handle than non-linear systems. Two
special theories of linear approximations are BST and MCT, discussed
in the historical review in Section 1.1.
Local dynamic behavior (local dynamics) is the behavior of a system
within a small area around an equilibrium point. Within that area,
the linear approximation of the original system is good enough to
give a valid representation of the original system.
Global dynamic behavior (global dynamics) is the behavior of a system
over the full range of values in its domain.
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