Dettaglio del documento
Stochastic differential equations for chemical transformations in white noise probability space : Wick products and computations
Abstract
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.
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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. (Dal sito dell'editore)
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| eBook | ||
| Monografia | ||
| Description | *Stochastic differential equations for chemical transformations in white noise probability space : Wick products and computations / Don Kulasiri. - Singapore : Springer, 2024. - 1 testo elettronico (xvi, 155 p. : ill.) | |
| ISBN E-Book | 9789819793921 | |
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| Subjects | 92E20 - Classical flows, reactions, etc. [MSC 2020] | |
| 34Fxx - Ordinary differential equations and systems with randomness [MSC 2020] | ||
| Parole chiave |
Hermite polynomials
Malliavian derivatives Skorohod integration Stochastic chemical reactions Weiner chaos expansion Wick products |
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| Publication place | Singapore | |
| Publisher | Springer <editore> | |
| Publication year | 2024 | |
| Thesaurus | 34Fxx | |
| 92E20 | ||
| Classical flows, reactions, etc. [MSC 2020] | ||
| Ordinary differential equations and systems with randomness [MSC 2020] |