Stochastic Analysis of Biochemical Systems (Mathematical Biosciences Institute Lecture Series)
暫譯: 生化系統的隨機分析(數學生物科學研究所講座系列)
David F. Anderson, Thomas G. Kurtz
- 出版商: Springer
- 出版日期: 2015-05-08
- 售價: $2,150
- 貴賓價: 9.5 折 $2,043
- 語言: 英文
- 頁數: 84
- 裝訂: Paperback
- ISBN: 3319168940
- ISBN-13: 9783319168944
海外代購書籍(需單獨結帳)
商品描述
This book focuses on counting processes and continuous-time Markov chains motivated by examples and applications drawn from chemical networks in systems biology. The book should serve well as a supplement for courses in probability and stochastic processes. While the material is presented in a manner most suitable for students who have studied stochastic processes up to and including martingales in continuous time, much of the necessary background material is summarized in the Appendix. Students and Researchers with a solid understanding of calculus, differential equations and elementary probability and who are well-motivated by the applications will find this book of interest.
David F. Anderson is Associate Professor in the Department of Mathematics at the University of Wisconsin and Thomas G. Kurtz is Emeritus Professor in the Departments of Mathematics and Statistics at that university. Their research is focused on probability and stochastic processes with applications in biology and other areas of science and technology.
These notes are based in part on lectures given by Professor Anderson at the University of Wisconsin – Madison and by Professor Kurtz at Goethe University Frankfurt.
商品描述(中文翻譯)
這本書專注於計數過程和連續時間馬可夫鏈,並以系統生物學中的化學網絡為例進行動機引導。這本書應該能很好地作為概率和隨機過程課程的補充資料。雖然材料以最適合已學習過隨機過程(包括連續時間的鞅)的學生的方式呈現,但許多必要的背景材料已在附錄中總結。對於具有堅實微積分、微分方程和基礎概率知識的學生和研究人員,並且對應用有強烈興趣的人,這本書將會引起他們的興趣。
大衛·F·安德森(David F. Anderson)是威斯康辛大學數學系的副教授,托馬斯·G·庫茲(Thomas G. Kurtz)是該大學數學與統計系的名譽教授。他們的研究專注於概率和隨機過程,並應用於生物學及其他科學和技術領域。
這些筆記部分基於安德森教授在威斯康辛大學-麥迪遜分校和庫茲教授在法蘭克福歌德大學的講座。