國立高雄大學圖資館 |

Language: English

Back

Stochastic chemical reaction systems...

Ge, Hao.

Stochastic chemical reaction systems in biology

Record Type:	Electronic resources : Monograph/item
Title/Author:	Stochastic chemical reaction systems in biologyby Hong Qian, Hao Ge.
Author:	Qian, Hong.
other author:	Ge, Hao.
Published:	Cham :Springer International Publishing :2021.
Description:	xxii, 351 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Chemical kinetics.
Online resource:	https://doi.org/10.1007/978-3-030-86252-7
ISBN:	9783030862527$q(electronic bk.)

Stochastic chemical reaction systems in biology
Qian, Hong.

Stochastic chemical reaction systems in biology[electronic resource] /by Hong Qian, Hao Ge. - Cham :Springer International Publishing :2021. - xxii, 351 p. :ill., digital ;24 cm. - Lecture notes on mathematical modelling in the life sciences,2193-4797. - Lecture notes on mathematical modelling in the life sciences..

1. Introduction -- Part I Essentials of Deterministic and Stochastic Chemical Kinetics: 2. Kinetic Rate Equations and the Law of Mass Action -- 3. Probability Distribution and Stochastic Processes -- 4. Large Deviations and Kramers' rate formula -- 5. The Probabilistic Basis of Chemical Kinetics -- 6. Mesoscopic Thermodynamics of Markov Processes -- 7. Emergent Macroscopic Chemical Thermodynamics -- 8. Phase Transition and Mesoscopic Nonlinear Bistability -- Part III Stochastic Kinetics of Biochemical Systems and Processes: 9. Classic Enzyme Kinetics--The Michaelis-Menten and Briggs-Haldane Theories -- 10. Single-Molecule Enzymology and Driven Biochemical Kinetics with Chemostat -- 11. Stochastic Linear Reaction Kinetic Systems -- 12. Nonlinear Stochastic Reaction Systems with Simple Examples -- 13. Kinetics of the Central Dogma of Molecular Cell Biology -- 14. Stochastic Macromolecular Mechanics and Mechanochemistry -- Part IV Epilogue: Beyond Chemical Reaction Kinetics: 15. Landscape, Attractor-State Switching, and Differentiation -- 16. Nonlinear Stochastic Dynamics: New Paradigm and Syntheses -- References -- Index.

This book provides an introduction to the analysis of stochastic dynamic models in biology and medicine. The main aim is to offer a coherent set of probabilistic techniques and mathematical tools which can be used for the simulation and analysis of various biological phenomena. These tools are illustrated on a number of examples. For each example, the biological background is described, and mathematical models are developed following a unified set of principles. These models are then analyzed and, finally, the biological implications of the mathematical results are interpreted. The biological topics covered include gene expression, biochemistry, cellular regulation, and cancer biology. The book will be accessible to graduate students who have a strong background in differential equations, the theory of nonlinear dynamical systems, Markovian stochastic processes, and both discrete and continuous state spaces, and who are familiar with the basic concepts of probability theory.

ISBN: 9783030862527$q(electronic bk.)

Standard No.: 10.1007/978-3-030-86252-7doiSubjects--Topical Terms:

193661
Chemical kinetics.

LC Class. No.: QD502 / .Q53 2021

Dewey Class. No.: 541.394

Stochastic chemical reaction systems in biology
LDR:03188nmm a2200337 a 4500 001 610742
003 DE-He213
005 20211018080252.0
006 m d
007 cr nn 008maaau
008 220330s2021 sz s 0 eng d
020 $a 9783030862527$q(electronic bk.)
020 $a 9783030862510$q(paper)
024 7 $a 10.1007/978-3-030-86252-7 $2 doi
035 $a 978-3-030-86252-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QD502 $b .Q53 2021
072 7 $a PB $2 bicssc
072 7 $a MAT000000 $2 bisacsh
072 7 $a PB $2 thema
082 0 4 $a 541.394 $2 23
090 $a QD502 $b .Q1 2021
100 1 $a Qian, Hong. $3 908926
245 1 0 $a Stochastic chemical reaction systems in biology $h [electronic resource] / $c by Hong Qian, Hao Ge.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xxii, 351 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes on mathematical modelling in the life sciences, $x 2193-4797
505 0 $a 1. Introduction -- Part I Essentials of Deterministic and Stochastic Chemical Kinetics: 2. Kinetic Rate Equations and the Law of Mass Action -- 3. Probability Distribution and Stochastic Processes -- 4. Large Deviations and Kramers' rate formula -- 5. The Probabilistic Basis of Chemical Kinetics -- 6. Mesoscopic Thermodynamics of Markov Processes -- 7. Emergent Macroscopic Chemical Thermodynamics -- 8. Phase Transition and Mesoscopic Nonlinear Bistability -- Part III Stochastic Kinetics of Biochemical Systems and Processes: 9. Classic Enzyme Kinetics--The Michaelis-Menten and Briggs-Haldane Theories -- 10. Single-Molecule Enzymology and Driven Biochemical Kinetics with Chemostat -- 11. Stochastic Linear Reaction Kinetic Systems -- 12. Nonlinear Stochastic Reaction Systems with Simple Examples -- 13. Kinetics of the Central Dogma of Molecular Cell Biology -- 14. Stochastic Macromolecular Mechanics and Mechanochemistry -- Part IV Epilogue: Beyond Chemical Reaction Kinetics: 15. Landscape, Attractor-State Switching, and Differentiation -- 16. Nonlinear Stochastic Dynamics: New Paradigm and Syntheses -- References -- Index.
520 $a This book provides an introduction to the analysis of stochastic dynamic models in biology and medicine. The main aim is to offer a coherent set of probabilistic techniques and mathematical tools which can be used for the simulation and analysis of various biological phenomena. These tools are illustrated on a number of examples. For each example, the biological background is described, and mathematical models are developed following a unified set of principles. These models are then analyzed and, finally, the biological implications of the mathematical results are interpreted. The biological topics covered include gene expression, biochemistry, cellular regulation, and cancer biology. The book will be accessible to graduate students who have a strong background in differential equations, the theory of nonlinear dynamical systems, Markovian stochastic processes, and both discrete and continuous state spaces, and who are familiar with the basic concepts of probability theory.
650 0 $a Chemical kinetics. $3 193661
650 0 $a Biochemistry. $3 188609
650 0 $a Chemical reactions. $3 194014
650 1 4 $a Mathematics, general. $3 274849
650 2 4 $a Bioinformatics. $3 194415
650 2 4 $a Chemistry/Food Science, general. $3 274166
650 2 4 $a Physical Chemistry. $3 273698
650 2 4 $a Biological and Medical Physics, Biophysics. $3 759746
700 1 $a Ge, Hao. $3 908927
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Lecture notes on mathematical modelling in the life sciences. $3 676319
856 4 0 $u https://doi.org/10.1007/978-3-030-86252-7
950 $a Mathematics and Statistics (SpringerNature-11649)