國立虎尾科技大學 |

An Operator Semigroup in Mathematical Genetics

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	An Operator Semigroup in Mathematical Genetics/ by Adam Bobrowski, Marek Kimmel.
作者:	Bobrowski, Adam.
其他作者:	Kimmel, Marek.
面頁冊數:	VI, 88 p. 9 illus., 8 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Biomathematics. -
電子資源:	https://doi.org/10.1007/978-3-642-35958-3
ISBN:	9783642359583

An Operator Semigroup in Mathematical Genetics
Bobrowski, Adam.

An Operator Semigroup in Mathematical Genetics[electronic resource] /by Adam Bobrowski, Marek Kimmel. - 1st ed. 2015. - VI, 88 p. 9 illus., 8 illus. in color.online resource. - SpringerBriefs in Mathematical Methods,2365-0826. - SpringerBriefs in Mathematical Methods,.

1 Introduction -- 2 Genetic background -- 3 Motivating example -- 4 Mathematical tools -- 5 Master Equation -- 6 Epilogue.

This authored monograph presents a mathematical description of the time evolution of neutral genomic regions in terms of the differential Lyapunov equation. The qualitative behavior of its solutions, with respect to different mutation models and demographic patterns, can be characterized using operator semi group theory. Mutation and drift are two of the main genetic forces, which act on genes of individuals in populations. Their effects are influenced by population dynamics. This book covers the application to two mutation models: single step mutation for microsatellite loci and single-base substitutions. The effects of demographic change to the asymptotic of the distribution are also covered. The target audience primarily covers researchers and experts in the field but the book may also be beneficial for graduate students.

ISBN: 9783642359583

Standard No.: 10.1007/978-3-642-35958-3doiSubjects--Topical Terms:

527725
Biomathematics.

LC Class. No.: QH323.5

Dewey Class. No.: 576.58

An Operator Semigroup in Mathematical Genetics
LDR:02396nam a22004215i 4500 001 969194
003 DE-He213
005 20200702000042.0
007 cr nn 008mamaa
008 201211s2015 gw | s |||| 0|eng d
020 $a 9783642359583 $9 978-3-642-35958-3
024 7 $a 10.1007/978-3-642-35958-3 $2 doi
035 $a 978-3-642-35958-3
050 4 $a QH323.5
050 4 $a QH455
072 7 $a PBW $2 bicssc
072 7 $a MAT003000 $2 bisacsh
072 7 $a PBW $2 thema
082 0 4 $a 576.58 $2 23
082 0 4 $a 577.88 $2 23
100 1 $a Bobrowski, Adam. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 686247
245 1 3 $a An Operator Semigroup in Mathematical Genetics $h [electronic resource] / $c by Adam Bobrowski, Marek Kimmel.
250 $a 1st ed. 2015.
264 1 $a Berlin, Heidelberg : $b Springer Berlin Heidelberg : $b Imprint: Springer, $c 2015.
300 $a VI, 88 p. 9 illus., 8 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a SpringerBriefs in Mathematical Methods, $x 2365-0826
505 0 $a 1 Introduction -- 2 Genetic background -- 3 Motivating example -- 4 Mathematical tools -- 5 Master Equation -- 6 Epilogue.
520 $a This authored monograph presents a mathematical description of the time evolution of neutral genomic regions in terms of the differential Lyapunov equation. The qualitative behavior of its solutions, with respect to different mutation models and demographic patterns, can be characterized using operator semi group theory. Mutation and drift are two of the main genetic forces, which act on genes of individuals in populations. Their effects are influenced by population dynamics. This book covers the application to two mutation models: single step mutation for microsatellite loci and single-base substitutions. The effects of demographic change to the asymptotic of the distribution are also covered. The target audience primarily covers researchers and experts in the field but the book may also be beneficial for graduate students.
650 0 $a Biomathematics. $3 527725
650 0 $a Operator theory. $3 527910
650 0 $a Biomedical engineering. $3 588770
650 0 $a Probabilities. $3 527847
650 0 $a Animal genetics. $3 895776
650 1 4 $a Genetics and Population Dynamics. $3 670124
650 2 4 $a Operator Theory. $3 672127
650 2 4 $a Biomedical Engineering and Bioengineering. $3 1211019
650 2 4 $a Probability Theory and Stochastic Processes. $3 593945
650 2 4 $a Animal Genetics and Genomics. $3 668667
700 1 $a Kimmel, Marek. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1066684
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783642359590
776 0 8 $i Printed edition: $z 9783642359576
830 0 $a SpringerBriefs in Mathematical Methods, $x 2365-0826 $3 1257539
856 4 0 $u https://doi.org/10.1007/978-3-642-35958-3
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)