東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Linked to FindBook

Google Book

Amazon

博客來

Stochastic differential equations for chemical transformations in white noise probability space = Wick products and computations /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Stochastic differential equations for chemical transformations in white noise probability space/ by Don Kulasiri.
Reminder of title:	Wick products and computations /
Author:	Kulasiri, Don.
Published:	Singapore :Springer Nature Singapore : : 2024.,
Description:	xvi, 155 p. :ill. (chiefly color), digital ;24 cm.
[NT 15003449]:	Chapter 1. Introduction to Chemical transformations in far from equilibrium systems -- Chapter 2. A brief introduction to vectors spaces: succinct but pertinent summary for scientists -- Chapter 3. White noise probability spaces (Hermite polynomials and functions and their use in defining Weiner Chaos expansion) -- Chapter 4. Introduction to Skorohod integration and Malliavian derivatives-practical interpretations -- Chapter 5. Introduction to Wick Product and its algebra (analytical solutions to Wick product driven stochastic differential equations; Hermite transformations) -- Chapter 6. Numerical solutions to stochastic chemical reactions -- Chapter 7. Stochastic coupled reactions systems: Numerical solutions -- Chapter 8. Modelling chiral symmetry breaking and stability in a noisy environment using Wick products-A case study.
Contained By:	Springer Nature eBook
Subject:	Biochemistry - Mathematical models. -
Online resource:	https://doi.org/10.1007/978-981-97-9392-1
ISBN:	9789819793921

Stochastic differential equations for chemical transformations in white noise probability space = Wick products and computations /
Kulasiri, Don.

Stochastic differential equations for chemical transformations in white noise probability spaceWick products and computations /[electronic resource] :by Don Kulasiri. - Singapore :Springer Nature Singapore :2024. - xvi, 155 p. :ill. (chiefly color), digital ;24 cm.

Chapter 1. Introduction to Chemical transformations in far from equilibrium systems -- Chapter 2. A brief introduction to vectors spaces: succinct but pertinent summary for scientists -- Chapter 3. White noise probability spaces (Hermite polynomials and functions and their use in defining Weiner Chaos expansion) -- Chapter 4. Introduction to Skorohod integration and Malliavian derivatives-practical interpretations -- Chapter 5. Introduction to Wick Product and its algebra (analytical solutions to Wick product driven stochastic differential equations; Hermite transformations) -- Chapter 6. Numerical solutions to stochastic chemical reactions -- Chapter 7. Stochastic coupled reactions systems: Numerical solutions -- Chapter 8. Modelling chiral symmetry breaking and stability in a noisy environment using Wick products-A case study.

This book highlights the applications of stochastic differential equations in white noise probability space to chemical reactions that occur in biology. These reactions operate in fluctuating environments and are often coupled with each other. The theory of stochastic differential equations based on white noise analysis provides a physically meaningful modelling framework. The Wick product-based calculus for stochastic variables is similar to regular calculus; therefore, there is no need for Ito calculus. Numerical examples are provided with novel ways to solve the equations. While the theory of white noise analysis is well developed by mathematicians over the past decades, applications in biophysics do not exist. This book provides a bridge between this kind of mathematics and biophysics.

ISBN: 9789819793921

Standard No.: 10.1007/978-981-97-9392-1doiSubjects--Topical Terms:

774380
Biochemistry
--Mathematical models.

LC Class. No.: QD415

Dewey Class. No.: 572.0151

Stochastic differential equations for chemical transformations in white noise probability space = Wick products and computations /
LDR:02698nmm a2200325 a 4500 001 2381627
003 DE-He213
005 20250127115230.0
006 m o d
007 cr nn 008maaau
008 250418s2024 si s 0 eng d
020 $a 9789819793921 $q (electronic bk.)
020 $a 9789819793914 $q (paper)
024 7 $a 10.1007/978-981-97-9392-1 $2 doi
035 $a 978-981-97-9392-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QD415
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
072 7 $a PHU $2 thema
082 0 4 $a 572.0151 $2 23
090 $a QD415 $b .K96 2024
100 1 $a Kulasiri, Don. $3 1641562
245 1 0 $a Stochastic differential equations for chemical transformations in white noise probability space $h [electronic resource] : $b Wick products and computations / $c by Don Kulasiri.
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2024.
300 $a xvi, 155 p. : $b ill. (chiefly color), digital ; $c 24 cm.
505 0 $a Chapter 1. Introduction to Chemical transformations in far from equilibrium systems -- Chapter 2. A brief introduction to vectors spaces: succinct but pertinent summary for scientists -- Chapter 3. White noise probability spaces (Hermite polynomials and functions and their use in defining Weiner Chaos expansion) -- Chapter 4. Introduction to Skorohod integration and Malliavian derivatives-practical interpretations -- Chapter 5. Introduction to Wick Product and its algebra (analytical solutions to Wick product driven stochastic differential equations; Hermite transformations) -- Chapter 6. Numerical solutions to stochastic chemical reactions -- Chapter 7. Stochastic coupled reactions systems: Numerical solutions -- Chapter 8. Modelling chiral symmetry breaking and stability in a noisy environment using Wick products-A case study.
520 $a This book highlights the applications of stochastic differential equations in white noise probability space to chemical reactions that occur in biology. These reactions operate in fluctuating environments and are often coupled with each other. The theory of stochastic differential equations based on white noise analysis provides a physically meaningful modelling framework. The Wick product-based calculus for stochastic variables is similar to regular calculus; therefore, there is no need for Ito calculus. Numerical examples are provided with novel ways to solve the equations. While the theory of white noise analysis is well developed by mathematicians over the past decades, applications in biophysics do not exist. This book provides a bridge between this kind of mathematics and biophysics.
650 0 $a Biochemistry $x Mathematical models. $3 774380
650 0 $a Chemical reactions $x mathametical models. $3 3735871
650 0 $a Stochastic differential equations. $3 621860
650 0 $a Mathematical physics. $3 516853
650 0 $a Differential equations. $3 517952
650 0 $a Biomathematics. $3 523796
650 1 4 $a Computational Physics and Simulations. $3 3538874
650 2 4 $a Differential Equations. $3 907890
650 2 4 $a Computational and Systems Biology. $3 3531279
650 2 4 $a Mathematical and Computational Biology. $3 1566274
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-981-97-9392-1
950 $a Physics and Astronomy (SpringerNature-11651)