Mathematical Principles in Bioinformatics

Yau, Stephen S. -T, Zhao, Xin, Tian, Kun

Mathematical Principles in Bioinformatics
  • 出版商: Springer
  • 出版日期: 2024-01-12
  • 售價: $3,120
  • 貴賓價: 9.5 折 $2,964
  • 語言: 英文
  • 頁數: 167
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3031482948
  • ISBN-13: 9783031482946
  • 相關分類: 生物資訊 Bioinformatics

    • 海外代購書籍(需單獨結帳)

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商品描述

This textbook introduces bioinformatics to students in mathematics with no biology background assumed and it provides solid mathematical tools for biology students along with an understanding of how to implement them in bioinformatics problems. In addition to the basics, the text offers new approaches to understanding biological sequences. The concise presentation distinguishes itself from others on the subject, discussing and providing principles that relate to current open problems in bioinformatics as well as considering a variety of models. The convex hull principle is highlighted, opening a new interdisciplinary research area at the intersection of biology, mathematics, and computer science. Prerequisites include first courses in linear algebra, probability and statistics, and mathematical analysis. Researchers in mathematics, biology, and math-biology, will also find aspects of this text useful.

This textbook is written based on the authors' research works that have been published in various journals along with the lecture notes used when teaching bioinformatics courses at the University of Illinois at Chicago and at Tsinghua University. The content may be divided into two parts. The first part includes three chapters, introducing some basic concepts. Chapter 1 provides biological background in molecular biology for mathematicians. Chapter 2 describes biological databases that are commonly used. Chapter 3 is concerned with alignment methods including global/local alignment, heuristic alignment, and multiple alignment. The second part consisting of five chapters, describes several bioinformatics principles using a rigorous mathematical formulation. Chapter 4 introduces the time-frequency spectral principle and its applications in bioinformatics. In Chapters 5 and 6, two strategies are used, the graphical representation and the natural vector method, to represent biological sequences, and conduct sequence comparison and phylogenetic analysis without alignment. Chapter 7 presents the convex hull principle and shows how it can be used to mathematically determine whether a certain amino acid sequence can be a protein. The last chapter summarizes additional mathematical ideas relating to sequence comparisons, such as new feature vectors and metrics. This part focuses on the governing principle in biology and provides plenty of alignment-free methods, which cannot be found in any other book.

商品描述(中文翻譯)

這本教科書向沒有生物背景的數學學生介紹生物信息學，並提供了生物學學生所需的堅實數學工具，以及如何在生物信息學問題中應用這些工具的理解。除了基礎知識外，本書還提供了理解生物序列的新方法。簡潔的呈現使其與其他相關主題的書籍有所區別，討論並提供了與當前生物信息學中的開放問題相關的原則，同時考慮了各種模型。凸包原理受到強調，開啟了生物學、數學和計算機科學交叉領域的新的跨學科研究領域。先修課程包括線性代數、概率統計和數學分析的初級課程。數學、生物學和數學生物學的研究人員也會發現本書的某些方面很有用。

這本教科書是根據作者在各種期刊上發表的研究成果以及在伊利諾伊大學芝加哥分校和清華大學教授生物信息學課程時使用的講義撰寫的。內容可以分為兩部分。第一部分包括三章，介紹了一些基本概念。第1章為數學家提供了分子生物學的生物背景。第2章描述了常用的生物數據庫。第3章涉及全局/局部比對、啟發式比對和多重比對等比對方法。第二部分由五章組成，使用嚴謹的數學形式描述了幾個生物信息學原則。第4章介紹了時頻譜原理及其在生物信息學中的應用。在第5章和第6章中，使用圖形表示和自然向量方法來表示生物序列，並在不進行比對的情況下進行序列比較和親緣分析。第7章介紹了凸包原理，並展示了如何用數學方法確定某個氨基酸序列是否可以成為蛋白質。最後一章總結了與序列比較相關的其他數學思想，例如新的特徵向量和度量。本部分重點介紹了生物學中的主導原則，並提供了大量的無比對方法，這些方法在其他任何書籍中都找不到。

作者簡介

​Stephen Shing-Toung Yau (Life Fellow, IEEE) received the Ph.D. degree in mathematics from the State University of New York, Stony Brook, NY, USA, in 1976. He was a Member of the Institute of Advanced Study, Princeton, NJ, USA, from 1976 to 1977 and 1981 to 1982. He was a Benjamin Pierce Assistant Professor with Harvard University, Cambridge, MA, USA, from 1977 to 1980. He then joined the Department of Mathematics, Statistics and Computer Science (MSCS), University of Illinois at Chicago (UIC), Chicago, IL, USA, and served for more than 30 years. From 2005 to 2011, he was a Joint Professor with the Department of Electrical and Computer Engineering, MSCS, UIC. After his retirement in 2012, he joined Tsinghua University, Beijing, China, where he is currently a Full Time Professor with the Department of Mathematical Sciences. His research interests include nonlinear filtering, bioinformatics, complex algebraic geometry, Cauchy-Riemann geometry, and singularities theory., Dr.Yau has been the Managing Editor and Founder of Journal of Algebraic Geometry since 1991 and the Editor-in-Chief and Founder of Communications in Information and Systems since 2000. He was the General Chairman of the 1995 IEEE International Conference on Control and Information. He received the Sloan Fellowship in 1980, the Guggenheim Fellowship in 2000, and the American Mathematical Society Fellow Award in 2013. In 2005, he was entitled the UIC Distinguished Professor.
Xin Zhao received the B.Sc. and M.S. degrees in electronic engineering from the Beijing Institute of Technology, Beijing, China, in 2016 and 2019, respectively, where he is currently pursuing the Ph.D. degree with the School of Electronic and Information. From 2019 to 2021, he was a Research Assistant at the State Key Laboratory of Internet of Things for Smart City, University of Macau, Macau, China. His research interests include signal processing, hybrid beamforming, nonlinear precoding, RIS-aided communication, and convex optimization.
Kun Tian received a bachelor's degree in mathematics and applied mathematics from the Department of Mathematical Sciences, Tsinghua University from August 2008 to July 8. He then later returned to the Department of Mathematical Sciences and went on to receive his Ph. D. degree in Statistics from August 2012 to July 7. In July of 2017, he worked as a Postdoctoral Fellow for Mathematician Chengtong Yau at Tsinghua University. From August 2019 to present, he currently works at the School of Mathematics, Chinese Minmin University as a lecturer.

Hongyu Yu is at the Department of Mathematical Sciences, Tsinghua University, Beijing, People's Republic of China.


作者簡介(中文翻譯)

Stephen Shing-Toung Yau（IEEE終身會員）於1976年從美國紐約州立大學石溪分校獲得數學博士學位。他曾於1976年至1977年和1981年至1982年期間擔任普林斯頓高等研究院的成員。他曾於1977年至1980年期間在哈佛大學擔任本傑明·皮爾斯助理教授。之後，他加入了伊利諾伊大學芝加哥分校的數學、統計和計算機科學系（MSCS），並在那裡服務了30多年。從2005年到2011年，他在MSCS的電氣與計算機工程系擔任聯合教授。在2012年退休後，他加入了中國北京的清華大學，目前在數學科學系擔任全職教授。他的研究興趣包括非線性濾波、生物信息學、復雜代數幾何、柯西-黎曼幾何和奇異性理論。自1991年以來，Yau博士一直是《代數幾何學報》的主編和創辦人，並於2000年創辦了《信息與系統通信》的主編和創辦人。他曾擔任1995年IEEE國際控制與信息會議的總主席。他於1980年獲得斯隆獎學金，2000年獲得古根漢獎學金，並於2013年獲得美國數學學會會士獎。2005年，他被授予UIC傑出教授稱號。

Xin Zhao於2016年和2019年分別獲得北京理工大學電子工程學士和碩士學位，目前正在該校電子與信息學院攻讀博士學位。他於2019年至2021年期間在澳門大學物聯網智慧城市國家重點實驗室擔任研究助理。他的研究興趣包括信號處理、混合波束成型、非線性預編碼、反射面輔助通信和凸優化。

Kun Tian於2008年至2012年在清華大學數學科學系獲得數學與應用數學學士學位，並於2012年至2017年期間繼續在該系攻讀統計學博士學位。2017年7月，他在清華大學數學家丘成桐的指導下擔任博士後研究員。從2019年至今，他目前在中國民族大學數學學院擔任講師。

Hongyu Yu就讀於中國北京的清華大學數學科學系。

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