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Titlebook: Mathematical Analysis of Complex Cellular Activity; Richard Bertram,Joel Tabak,James Sneyd Book 2015 The Editor(s) (if applicable) and The

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書(shū)目名稱(chēng)Mathematical Analysis of Complex Cellular Activity
編輯Richard Bertram,Joel Tabak,James Sneyd
視頻videohttp://file.papertrans.cn/626/625985/625985.mp4
概述First volume in a new series that covers emerging topics in the field of Applied Dynamical Systems.Intended for mathematicians and biologists, as well as advanced graduate students.Uses practical tuto
叢書(shū)名稱(chēng)Frontiers in Applied Dynamical Systems: Reviews and Tutorials
圖書(shū)封面Titlebook: Mathematical Analysis of Complex Cellular Activity;  Richard Bertram,Joel Tabak,James Sneyd Book 2015 The Editor(s) (if applicable) and The
描述.This book contains two review articles on mathematical physiology that deal with closely related topics but were written and can be read independently..The first article reviews the basic theory of calcium oscillations (common to almost all cell types), including spatio-temporal behaviors such as waves. The second article uses, and expands on, much of this basic theory to show how the interaction of cytosolic calcium oscillators with membrane ion channels can result in highly complex patterns of electrical spiking. Through these examples one can see clearly how multiple oscillatory processes interact within a cell, and how mathematical methods can be used to understand such interactions better. The two reviews provide excellent examples of how mathematics and physiology can learn from each other, and work jointly towards a better understanding of complex cellular processes..Review 1: Richard Bertram, Joel Tabak, Wondimu Teka, Theodore Vo, Martin Wechselberger: Geometric Singular Perturbation Analysis of Bursting Oscillations in Pituitary Cells.Review 2: Vivien Kirk, James Sneyd: Nonlinear Dynamics of Calcium.
出版日期Book 2015
關(guān)鍵詞Cell Biology; Dynamical Systems Theory; Geometric Singular Perturbation; Nonlinear Dynamics; Oscillatory
版次1
doihttps://doi.org/10.1007/978-3-319-18114-1
isbn_softcover978-3-319-18113-4
isbn_ebook978-3-319-18114-1Series ISSN 2364-4532 Series E-ISSN 2364-4931
issn_series 2364-4532
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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constructed a fully empirical risk estimate that approximates the actual risk well. We then observed that, by applying the risk estimate as a model selection criterion, LASSO with scaling tends to obtain a model with low risk and high sparsity compared to LASSO without scaling.
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Geometric Singular Perturbation Analysis of Bursting Oscillations in Pituitary Cells, oscillations. Although applied here to pituitary cells, the approach can and has been used to study mixed-mode oscillations in other systems, including neurons, intracellular calcium dynamics, and chemical systems. The electrical bursting pattern produced in pituitary cells differs fundamentally fr
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