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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978-3-319-18113-4The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Richard Bertram,Joel Tabak,James SneydFirst 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

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Frontiers in Applied Dynamical Systems: Reviews and Tutorialshttp://image.papertrans.cn/m/image/625985.jpg

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ge at a sparse representation. This problem is important because it directly affects a quality of model selection in LASSO. We derived a prediction risk for LASSO with scaling and obtained an optimal scaling parameter value that minimizes the risk. We then showed the risk is improved by assigning th

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Vivien Kirk,James Sneydcan be effectively captured. We hold that a social network mainly contains three types of information: network structure, node attributes, and their correlation called homophily. All of these information could be potentially helpful in learning an informative network representation. However, most ex

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Geometric Singular Perturbation Analysis of Bursting Oscillations in Pituitary Cells,m numerical simulation alone. In this chapter, we demonstrate how geometric singular perturbation analysis can be used to understand the dynamics of bursting in endocrine pituitary cells. This analysis technique, often called “fast/slow analysis,” takes advantage of the different time scales of the

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The Nonlinear Dynamics of Calcium,ction, controlling such processes as contraction, secretion and differentiation. Although, nowadays, these oscillations and waves may be observed experimentally with relative ease, we still lack a rigorous understanding of, firstly, the mechanisms underlying these waves and oscillations in different