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分子动力学中的亚稳态和 Markov 状态模型:建模、分析和算法(影印版)
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商品名称:分子动力学中的亚稳态和 Markov 状态模型:建模、分析和算法(影印版)
ISBN:9787040632514
出版社:高等教育出版社
出版年月:2025-02
作者:Christof Schütte,Marco Sarich
定价:67.00
页码:144
装帧:精装
版次:1
字数:230
开本:16开
套装书:否

本书通过众多例子和插图,面向研究生、数学家和实践中的计算科学家,提供了如何为从肽类到蛋白质、从RNA到DNA,再到分子传感器和分子聚集等不同分子系统构建MSM的数学背景概述。本书弥合了分子动力学数学研究与其在现实分子系统中的实际应用之间的差距,为读者提供了进行深入分析模拟和数据分析方法的工具。 Applications in modern biotechnology and molecular medicine often require simulation of biomolecular systems in atomic representation with immense length and timescales that are far beyond the capacity of computer power currently available. As a consequence, there is an increasing need for reduced models that describe the relevant dynamical properties while at the same time being less complex. In this book the authors exploit the existence of metastable sets for constructing such a reduced molecular dynamics model, the so-called Markov state model (MSM), with good approximation properties on the long timescales.

前辅文
Introduction
Chapter 1. Transfer Operator Approach to Conformation Dynamics
Chapter 2. Dynamics
  2.1. Markov Processes and Transition Functions
  2.2. Markov Processes in Molecular Dynamics
Chapter 3. Metastability
  3.1. Hitting Times and Committors
  3.2. Exit Times and Exit Rates
  3.3. Metastable Full Partitions and Almost Invariance
  3.4. Definitions of Metastability
Chapter 4. Transfer Operators and Generators
  4.1. Transfer Operators in Molecular Dynamics
  4.2. Mean Hitting Times and Committors
  4.3. Dominant Eigenvalues
  4.4. Spectral Approach to Metastability
  4.5. Numerical Experiments
Chapter 5. Projected Transfer Operators
  5.1. Galerkin Projection
  5.2. Density Propagation Error
  5.3. Eigenvalue Error
  5.4. Committor Projection and Core Sets
  5.5. Numerical Experiments
Chapter 6. Transition Path Theory
  6.1. Reactive Trajectories
  6.2. Illustrative Examples
Chapter 7. Concluding Remarks
Appendix A. Some Mathematical Aspects of Transfer Operators
Appendix B. Definition of Exit Rates
Bibliography

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