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Tutorials in mathematical biosciences. I, Mathematical neuroscience

Author: Alla Borisyuk
Publisher: Berlin ; New York : Springer, ©2005.
Series: Lecture notes in mathematics (Springer-Verlag), 1860.; Lecture notes in mathematics (Springer-Verlag)., Mathematical biosciences subseries.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
This volume introduces some basic theories on computational neuroscience. Chapter 1 is a brief introduction to neurons, tailored to the subsequent chapters. Chapter 2 is a self-contained introduction to dynamical systems and bifurcation theory, oriented towards neuronal dynamics. The theory is illustrated with a model of Parkinson's disease. Chapter 3 reviews the theory of coupled neural oscillators observed  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Mathematical neuroscience.
Berlin : Springer, 2005
(DLC) 2004117383
(OCoLC)60792478
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Alla Borisyuk
ISBN: 3540238581 9783540238584 9783540315445 3540315446
OCLC Number: 262677853
Description: 1 online resource (ix, 170 pages) : illustrations (some color).
Contents: v. 1. Mathematical neuroscience --
v. 2. Mathematical modeling of calcium dynamics and signal transducion --
v. 3. Cell cycle, proliferation, and cancer.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1860.; Lecture notes in mathematics (Springer-Verlag)., Mathematical biosciences subseries.
Other Titles: Mathematical neuroscience
Responsibility: Alla Borisyuk [and others].
More information:

Abstract:

This volume introduces some basic theories on computational neuroscience. Chapter 1 is a brief introduction to neurons, tailored to the subsequent chapters. Chapter 2 is a self-contained introduction to dynamical systems and bifurcation theory, oriented towards neuronal dynamics. The theory is illustrated with a model of Parkinson's disease. Chapter 3 reviews the theory of coupled neural oscillators observed throughout the nervous systems at all levels; it describes how oscillations arise, what pattern they take, and how they depend on excitory or inhibitory synaptic connections. Chapter 4 specializes to one particular neuronal system, namely, the auditory system. It includes a self-contained introduction, from the anatomy and physiology of the inner ear to the neuronal network that connects the hair cells to the cortex, and describes various models of subsystems.

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From the reviews: "Each paper ends with a valuable bibliography. The volume introduces some basic theories on computational neuroscience. I recommend this volume as a very good book in mathematical Read more...

 
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