東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

FindBook

Google Book

Amazon

博客來

Differential equations for studies in computational electrophysiology

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Differential equations for studies in computational electrophysiology/ by Karoline Horgmo Jager, Aslak Tveito.
作者:	Jager, Karoline Horgmo.
其他作者:	Tveito, Aslak.
出版者:	Cham :Springer Nature Switzerland : : 2023.,
面頁冊數:	xv, 128 p. :ill., digital ;24 cm.
內容註:	1. Getting Started -- 2. A System of Ordinary Differential Equations -- 3. The Diffusion Equation -- 4. Implicit Numerical Methods -- 5. Improved Accuracy -- 6. A Simple Cable Equation -- 7. Operator Splitting -- 8. Membrane Models -- 9. The Cable Equation -- 10. Spatial Models of Cardiac Electrophysiology -- 11. The Extracellular-Membrane-Intracellular (EMI) Model -- 12. The Poisson-Nernst-Planck (PNP) Model -- Index.
Contained By:	Springer Nature eBook
標題:	Electrophysiology - Mathematical models. -
電子資源:	https://doi.org/10.1007/978-3-031-30852-9
ISBN:	9783031308529

Differential equations for studies in computational electrophysiology
Jager, Karoline Horgmo.

Differential equations for studies in computational electrophysiology[electronic resource] /by Karoline Horgmo Jager, Aslak Tveito. - Cham :Springer Nature Switzerland :2023. - xv, 128 p. :ill., digital ;24 cm. - Reports on computational physiology,v. 142730-7743 ;. - Reports on computational physiology ;v. 14..

1. Getting Started -- 2. A System of Ordinary Differential Equations -- 3. The Diffusion Equation -- 4. Implicit Numerical Methods -- 5. Improved Accuracy -- 6. A Simple Cable Equation -- 7. Operator Splitting -- 8. Membrane Models -- 9. The Cable Equation -- 10. Spatial Models of Cardiac Electrophysiology -- 11. The Extracellular-Membrane-Intracellular (EMI) Model -- 12. The Poisson-Nernst-Planck (PNP) Model -- Index.

Open access.

This open access text aims at giving you the simplest possible introduction to differential equations that are used in models of electrophysiology. It covers models at several spatial and temporal scales with associated numerical methods. The text demonstrates that a very limited number of fundamental techniques can be used to define numerical methods for equations ranging from ridiculously simple to extremely complex systems of partial differential equations. Every method is implemented in Matlab and the codes are freely available online. By using these codes, the reader becomes familiar with classical models of electrophysiology, like the cable equation, the monodomain model, and the bidomain model. But modern models that have just started to gain attention in the field of computational electrophysiology are also presented. If you just want to read one book, it should probably not be this one, but if you want a simple introduction to a complex field, it is worth considering the present text.

ISBN: 9783031308529

Standard No.: 10.1007/978-3-031-30852-9doiSubjects--Topical Terms:

3678343
Electrophysiology
--Mathematical models.

LC Class. No.: QP341 / .J35 2023

Dewey Class. No.: 572.437015118

Differential equations for studies in computational electrophysiology
LDR:02540nmm a2200349 a 4500 001 2340916
003 DE-He213
005 20230527111711.0
006 m d
007 cr nn 008maaau
008 240813s2023 sz s 0 eng d
020 $a 9783031308529 $q (electronic bk.)
020 $a 9783031308512 $q (paper)
024 7 $a 10.1007/978-3-031-30852-9 $2 doi
035 $a 978-3-031-30852-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QP341 $b .J35 2023
072 7 $a PB $2 bicssc
072 7 $a MAT000000 $2 bisacsh
072 7 $a PB $2 thema
082 0 4 $a 572.437015118 $2 23
090 $a QP341 $b .J24 2023
100 1 $a Jager, Karoline Horgmo. $3 3678341
245 1 0 $a Differential equations for studies in computational electrophysiology $h [electronic resource] / $c by Karoline Horgmo Jager, Aslak Tveito.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2023.
300 $a xv, 128 p. : $b ill., digital ; $c 24 cm.
490 1 $a Reports on computational physiology, $x 2730-7743 ; $v v. 14
505 0 $a 1. Getting Started -- 2. A System of Ordinary Differential Equations -- 3. The Diffusion Equation -- 4. Implicit Numerical Methods -- 5. Improved Accuracy -- 6. A Simple Cable Equation -- 7. Operator Splitting -- 8. Membrane Models -- 9. The Cable Equation -- 10. Spatial Models of Cardiac Electrophysiology -- 11. The Extracellular-Membrane-Intracellular (EMI) Model -- 12. The Poisson-Nernst-Planck (PNP) Model -- Index.
506 $a Open access.
520 $a This open access text aims at giving you the simplest possible introduction to differential equations that are used in models of electrophysiology. It covers models at several spatial and temporal scales with associated numerical methods. The text demonstrates that a very limited number of fundamental techniques can be used to define numerical methods for equations ranging from ridiculously simple to extremely complex systems of partial differential equations. Every method is implemented in Matlab and the codes are freely available online. By using these codes, the reader becomes familiar with classical models of electrophysiology, like the cable equation, the monodomain model, and the bidomain model. But modern models that have just started to gain attention in the field of computational electrophysiology are also presented. If you just want to read one book, it should probably not be this one, but if you want a simple introduction to a complex field, it is worth considering the present text.
650 0 $a Electrophysiology $x Mathematical models. $3 3678343
650 0 $a Differential equations. $3 517952
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Computer Science. $3 626642
650 2 4 $a Biological Sciences. $3 1363809
650 2 4 $a Biological and Physical Engineering. $3 3626015
700 1 $a Tveito, Aslak. $3 897492
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Reports on computational physiology ; $v v. 14. $3 3678342
856 4 0 $u https://doi.org/10.1007/978-3-031-30852-9
950 $a Computer Science (SpringerNature-11645)