Mathematics as a Laboratory Tool (PDF)

Name: Mathematics as a Laboratory Tool
Brand: Springer International Publishing
SKU: 139589717
Price: 65.99 EUR
Availability: OnlineOnly

Dynamics, Delays and Noise (Sprache: Englisch)

Autoren: John Milton , Toru Ohira

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Mathematics as a Laboratory Tool, John Milton, Toru Ohira

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The second edition of Mathematics as a Laboratory Tool reflects the growing impact that computational science is having on the career choices made by undergraduate science and engineering students. The focus is on dynamics and the effects of time delays and stochastic perturbations ("noise") on the regulation provided by feedback control systems. The concepts are illustrated with applications to gene regulatory networks, motor control, neuroscience and population biology. The presentation in the first edition has been extended to include discussions of neuronal excitability and bursting, multistability, microchaos, Bayesian inference, second-order delay differential equations, and the semi-discretization method for the numerical integration of delay differential equations.

Every effort has been made to ensure that the material is accessible to those with a background in calculus. The text provides advanced mathematical concepts such as the Laplace and Fourier integral transforms in the form of Tools. Bayesian inference is introduced using a number of detective-type scenarios including the Monty Hall problem.

Review:

"Based on the authors' experience teaching biology students, this book introduces a wide range of mathematical techniques in a lively and engaging style. Examples drawn from the authors' experimental and neurological studies provide a rich source of material for computer laboratories that solidify the concepts. The book will be an invaluable resource for biology students and scientists interested in practical applications of mathematics to analyze mechanisms of complex biological rhythms."

(Leon Glass, McGill University, 2013)

Autoren-Porträt von John Milton, Toru Ohira

John Milton, Professor of Biology and William R. Kenan Jr Chair n Computational Neuroscience, The Claremont Colleges; Adjunct Professor of Biotechnology, Keck Graduate Institute
Toru Ohira, Professor Mathematics, Graduate School of Mathematics, Nagoya University, Japan