Stochastic Differential Equations for Chemical Transformations in White Noise Probability Space Wick Products and Computations /

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...

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Bibliografische gegevens
Hoofdauteur: Kulasiri, Don (Auteur)
Coauteur: SpringerLink (Online service)
Formaat: Elektronisch E-boek
Taal:Engels
Gepubliceerd in: Singapore : Springer Nature Singapore : Imprint: Springer, 2024.
Editie:1st ed. 2024.
Onderwerpen:
Online toegang:https://doi.org/10.1007/978-981-97-9392-1
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Inhoudsopgave:
  • 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.