Theoretical
analysis and computational modeling are important tools for characterizing what
nervous systems do, determining how they function, and understanding why they
operate in particular ways. Neuroscience encompasses approaches ranging from
molecular and cellular studies to human psychophysics and psychology.
Theoretical neuroscience encourages cross-talk among these sub-disciplines by
constructing compact representations of what has been learned, building bridges
between different levels of description, and identifying unifying concepts and
principles. In this book, we present the basic methods used for these purposes
and discuss examples in which theoretical approaches have yielded insight into nervous
system function.
The questions
what, how, and why are addressed by descriptive, mechanistic, and interpretive
models, each of which we discuss in the following chapters. Descriptive models
summarize large amounts of experimental data compactly yet accurately, thereby
characterizing what neurons and neural circuits do. These models may be based
loosely on biophysical, anatomical, and physiological findings, but their
primary purpose is to describe phenomena not to explain them. Mechanistic models,
on the other hand, address the question of how nervous systems operate on the
basis of known anatomy, physiology, and circuitry. Such models often form a
bridge between descriptive models couched at different levels. Interpretive models
use computational and information theoretic principles to explore the
behavioral and cognitive significance of various aspects of nervous system
function, addressing the question of why nervous system operates as they do.
It is often
difficult to identify the appropriate level of modeling for a particular problem.
A frequent mistake is to assume that a more detailed model is necessarily
superior. Because models act as bridges between levels of understanding, they
must be detailed enough to make contact with the lower level yet simple enough
to yield clear results at the higher level.
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