03706nam a22005535i 4500 978-981-97-9392-1 DE-He213 20251030114933.0 cr nn 008mamaa 250127s2024 si | s |||| 0|eng d 9789819793921 978-981-97-9392-1 10.1007/978-981-97-9392-1 doi QC19.2-20.85 PHU bicssc SCI040000 bisacsh PHU thema Kulasiri, Don. author. aut http://id.loc.gov/vocabulary/relators/aut 90505 Stochastic Differential Equations for Chemical Transformations in White Noise Probability Space [electronic resource] : Wick Products and Computations / by Don Kulasiri. 1st ed. 2024. Singapore : Springer Nature Singapore : Imprint: Springer, 2024. XVI, 155 p. 43 illus., 41 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda 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. Mathematical physics. Computer simulation. Differential equations. Bioinformatics. 64050 Biomathematics. 70325 Computational Physics and Simulations. 65564 Differential Equations. Computational and Systems Biology. 65974 Mathematical and Computational Biology. 70327 SpringerLink (Online service) Springer Nature eBook Printed edition: 9789819793914 Printed edition: 9789819793938 Printed edition: 9789819793945 https://doi.org/10.1007/978-981-97-9392-1 ZDB-2-PHA ZDB-2-SXP 66545 66545