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Mathematics as a laboratory tooldyna...

Milton, John.

Mathematics as a laboratory tooldynamics, delays and noise /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Mathematics as a laboratory toolby John Milton, Toru Ohira.
其他題名:	dynamics, delays and noise /
作者:	Milton, John.
其他作者:	Ohira, Toru.
出版者:	Cham :Springer International Publishing :2021.
面頁冊數:	xxv, 638 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Biomathematics.
電子資源:	https://doi.org/10.1007/978-3-030-69579-8
ISBN:	9783030695798

Mathematics as a laboratory tooldynamics, delays and noise /
Milton, John.

Mathematics as a laboratory tooldynamics, delays and noise /[electronic resource] :by John Milton, Toru Ohira. - Second edition. - Cham :Springer International Publishing :2021. - xxv, 638 p. :ill., digital ;24 cm.

Science and the Mathematics of Black Boxes -- The Mathematics of Change -- Equilibria and Steady States -- Stability -- Fixed Points: Creation and Destruction -- Transient Dynamics -- Frequency Domain I: Bode Plots and Transfer Functions -- Frequency Doman II: Fourier Analysis and Power Spectra -- Feedback and Control Systems-. Time delays -- Oscillations -- Characterizing and Manipulating Oscillations -- Beyond Limit Cycles -- Random Perturbations -- Noisy Dynamical Systems -- Random Walks -- Thermodynamic Perspectives -- Concluding Remarks.

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)

ISBN: 9783030695798

Standard No.: 10.1007/978-3-030-69579-8doiSubjects--Topical Terms:

212374
Biomathematics.

LC Class. No.: QH323.5 / .M55 2021

Dewey Class. No.: 570.151

Mathematics as a laboratory tooldynamics, delays and noise /
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520 $a 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)
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