The activity of neurons in the brain is noisy in that their firing
times are random when they are firing at a given mean rate. This
introduces a random or stochastic property into brain processing
which we show in this book is fundamental to understanding many
aspects of brain function, including probabilistic decision making,
perception, memory recall, short-term memory, attention, and even
creativity. In The Noisy Brain we show that in many of these
processes, the noise caused by the random neuronal firing times is
useful. However, this stochastic dynamics can be unstable or
overstable, and we show that the stability of attractor networks in
the brain in the face of noise may help to understand some
important dysfunctions that occur in schizophrenia, normal aging,
and obsessive-compulsive disorder. The Noisy Brain provides a
unifying computational approach to brain function that links
synaptic and biophysical properties of neurons through the firing
of single neurons to the properties of the noise in large connected
networks of noisy neurons to the levels of functional neuroimaging
and behaviour. The book describes integrate-and-fire neuronal
attractor networks with noise, and complementary mean-field
analyses using approaches from theoretical physics. The book shows
how they can be used to understand neuronal, functional
neuroimaging, and behavioural data on decision-making, perception,
memory recall, short-term memory, attention, and brain dysfunctions
that occur in schizophrenia, normal aging, and obsessive-compulsive
disorder. The Noisy Brain will be valuable for those in the fields
of neuroscience, psychology, cognitive neuroscience, and biology
from advanced undergraduate level upwards. It will also be of
interest to those interested in neuroeconomics, animal behaviour,
zoology, psychiatry, medicine, physics, and philosophy. The book
has been written with modular chapters and sections, making it
possible to select particular Chapters for course work. Advanced
material on the physics of stochastic dynamics in the brain is
contained in the Appendix.
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