國立虎尾科技大學 |

Piecewise deterministic processes in biological models

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Piecewise deterministic processes in biological models/ by Ryszard Rudnicki, Marta Tyran-Kaminska.
作者:	Rudnicki, Ryszard.
其他作者:	Tyran-Kaminska, Marta.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	ix, 169 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Markov processes. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-61295-9
ISBN:	9783319612959

Piecewise deterministic processes in biological models
Rudnicki, Ryszard.

Piecewise deterministic processes in biological models[electronic resource] /by Ryszard Rudnicki, Marta Tyran-Kaminska. - Cham :Springer International Publishing :2017. - ix, 169 p. :ill., digital ;24 cm. - SpringerBriefs in applied sciences and technology,2191-530X. - SpringerBriefs in applied sciences and technology..

1 Biological Models -- 2 Markov Processes -- 3 Operator Semigroups -- 4 Stochastic Semigroups -- 5 Asymptotic Properties of Stochastic Semigroups -- General Results -- 6 Asymptotic Properties of Stochastic Semigroups -- Applications.

This book presents a concise introduction to piecewise deterministic Markov processes (PDMPs), with particular emphasis on their applications to biological models. Further, it presents examples of biological phenomena, such as gene activity and population growth, where different types of PDMPs appear: continuous time Markov chains, deterministic processes with jumps, processes with switching dynamics, and point processes. Subsequent chapters present the necessary tools from the theory of stochastic processes and semigroups of linear operators, as well as theoretical results concerning the long-time behaviour of stochastic semigroups induced by PDMPs and their applications to biological models. As such, the book offers a valuable resource for mathematicians and biologists alike. The first group will find new biological models that lead to interesting and often new mathematical questions, while the second can observe how to include seemingly disparate biological processes into a unified mathematical theory, and to arrive at revealing biological conclusions. The target audience primarily comprises of researchers in these two fields, but the book will also benefit graduate students.

ISBN: 9783319612959

Standard No.: 10.1007/978-3-319-61295-9doiSubjects--Topical Terms:

527825
Markov processes.

LC Class. No.: QA274.7

Dewey Class. No.: 519.233

Piecewise deterministic processes in biological models
LDR:02467nam a2200325 a 4500 001 923102
003 DE-He213
005 20170720150205.0
006 m d
007 cr nn 008maaau
008 190625s2017 gw s 0 eng d
020 $a 9783319612959 $q (electronic bk.)
020 $a 9783319612935 $q (paper)
024 7 $a 10.1007/978-3-319-61295-9 $2 doi
035 $a 978-3-319-61295-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA274.7
072 7 $a PBW $2 bicssc
072 7 $a MAT003000 $2 bisacsh
082 0 4 $a 519.233 $2 23
090 $a QA274.7 $b .R916 2017
100 1 $a Rudnicki, Ryszard. $3 1199159
245 1 0 $a Piecewise deterministic processes in biological models $h [electronic resource] / $c by Ryszard Rudnicki, Marta Tyran-Kaminska.
260 $a Cham : $c 2017. $b Springer International Publishing : $b Imprint: Springer,
300 $a ix, 169 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in applied sciences and technology, $x 2191-530X
505 0 $a 1 Biological Models -- 2 Markov Processes -- 3 Operator Semigroups -- 4 Stochastic Semigroups -- 5 Asymptotic Properties of Stochastic Semigroups -- General Results -- 6 Asymptotic Properties of Stochastic Semigroups -- Applications.
520 $a This book presents a concise introduction to piecewise deterministic Markov processes (PDMPs), with particular emphasis on their applications to biological models. Further, it presents examples of biological phenomena, such as gene activity and population growth, where different types of PDMPs appear: continuous time Markov chains, deterministic processes with jumps, processes with switching dynamics, and point processes. Subsequent chapters present the necessary tools from the theory of stochastic processes and semigroups of linear operators, as well as theoretical results concerning the long-time behaviour of stochastic semigroups induced by PDMPs and their applications to biological models. As such, the book offers a valuable resource for mathematicians and biologists alike. The first group will find new biological models that lead to interesting and often new mathematical questions, while the second can observe how to include seemingly disparate biological processes into a unified mathematical theory, and to arrive at revealing biological conclusions. The target audience primarily comprises of researchers in these two fields, but the book will also benefit graduate students.
650 0 $a Markov processes. $3 527825
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Genetics and Population Dynamics. $3 670124
650 2 4 $a Systems Biology. $3 683756
650 2 4 $a Complex Systems. $3 888664
650 2 4 $a Probability Theory and Stochastic Processes. $3 593945
650 2 4 $a Biomedical Engineering. $3 588771
650 2 4 $a Statistical Physics and Dynamical Systems. $3 1114011
700 1 $a Tyran-Kaminska, Marta. $3 1199160
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in applied sciences and technology. $3 885514
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-61295-9
950 $a Mathematics and Statistics (Springer-11649)