03355nam a22004695i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001700153072001600170072002300186072001500209100007600224245017700300250001800477264007200495300006500567336002600632337002600658338003600684347002400720505084900744520080501593650002602398650002502424650002802449650002002477650002002497650004302517650002802560650003902588650004402627710003402671773002602705776003602731776003602767776003602803856004602839978-981-97-9392-1DE-He21320251030114933.0cr nn 008mamaa250127s2024    si |    s    |||| 0|eng d  a97898197939217 a10.1007/978-981-97-9392-12doi 4aQC19.2-20.85 7aPHU2bicssc 7aSCI0400002bisacsh 7aPHU2thema1 aKulasiri, Don.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aStochastic Differential Equations for Chemical Transformations in White Noise Probability Spaceh[electronic resource] :bWick Products and Computations /cby Don Kulasiri.  a1st ed. 2024. 1aSingapore :bSpringer Nature Singapore :bImprint: Springer,c2024.  aXVI, 155 p. 43 illus., 41 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 aChapter 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.  aThis 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. 0aMathematical physics. 0aComputer simulation. 0aDifferential equations. 0aBioinformatics. 0aBiomathematics.14aComputational Physics and Simulations.24aDifferential Equations.24aComputational and Systems Biology.24aMathematical and Computational Biology.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978981979391408iPrinted edition:z978981979393808iPrinted edition:z978981979394540uhttps://doi.org/10.1007/978-981-97-9392-1