This book integrates discoveries from recent years to show the diversity of molecular mechanisms that contribute to memory consolidation, reconsolidation, extinction, and forgetting. It provides a special focus on the processes that govern functional and structural plasticity of dendritic spines. In nine chapters, new and important ideas related to learning and memory processes will be presente…
This BCAM SpringerBriefs is a treaty of the Infinity-Laplace Equation, which has inherited many features from the ordinary Laplace Equation, and is based on lectures by the author. The Infinity-Laplace Equation has delightful counterparts to the Dirichlet integral, the mean value property, the Brownian motion, Harnack's inequality, and so on. This "fully non-linear" equation has applications t…
Starting with a simple formulation accessible to all mathematicians, this second edition is designed to provide a thorough introduction to nonstandard analysis. Nonstandard analysis is now a well-developed, powerful instrument for solving open problems in almost all disciplines of mathematics; it is often used as a ‘secret weapon’ by those who know the technique. This book illuminates th…
As chapters in this book demonstrate, BNP has important uses in clinical sciences and inference for issues like unknown partitions in genomics. Nonparametric Bayesian approaches (BNP) play an ever expanding role in biostatistical inference from use in proteomics to clinical trials. Many research problems involve an abundance of data and require flexible and complex probability models beyond the…
pendekatan kombinatorial untuk mengatasi tantangan seperti resistensi obat, atau kemanjuran yang kurang optimal. Pengembangan terapi kombinasi menghadapi beberapa tantangan: karakterisasi sinergi antara dua entitas kimia, definisi dosis yang tepat dan jadwal untuk memaksimalkan kemanjuran tanpa meningkatkan tingkat efek samping, yang meningkatkan tingkat kerumitannya secara signifikan. Untuk me…
This book contains two review articles on nonlinear data assimilation that deal with closely related topics but were written and can be read independently. Both contributions focus on so-called particle filters. The first contribution by Jan van Leeuwen focuses on the potential of proposal densities. It discusses the issues with present-day particle filters and explorers new ideas for proposal…
The last ten years have seen interest in Jainism increasing, with this previously little-known Indian religion assuming a significant place in religious studies. Studies in Jaina History and Culture breaks new ground by investigating the doctrinal differences and debates amongst the Jains rather than presenting Jainism as a seamless whole whose doctrinal core has remained virtually unchanged…
This book shows cognitive scientists in training how mathematics, computer science and science can be usefully and seamlessly intertwined. It is a follow-up to the first two volumes on mathematics for cognitive scientists, and includes the mathematics and computational tools needed to understand how to compute the terms in the Fourier series expansions that solve the cable equation. The latter …
This book offers a self-study program on how mathematics, computer science and science can be profitably and seamlessly intertwined. This book focuses on two variable ODE models, both linear and nonlinear, and highlights theoretical and computational tools using MATLAB to explain their solutions. It also shows how to solve cable models using separation of variables and the Fourier Series. Ba…
This book provides a self-study program on how mathematics, computer science and science can be usefully and seamlessly intertwined. Learning to use ideas from mathematics and computation is essential for understanding approaches to cognitive and biological science. As such the book covers calculus on one variable and two variables and works through a number of interesting first-order ODE model…