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024 7 $a10.1007/978-981-97-9392-1
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035   $a(DE-He213)978-981-97-9392-1
035   $a(OCoLC)1499720768
035   $a(EXLCZ)9937391216100041
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101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aStochastic Differential Equations for Chemical Transformations in White Noise Probability Space $eWick Products and Computations /$fby Don Kulasiri
205   $a1st ed. 2024.
210  1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2024.
215   $a1 online resource (181 pages)
311 08$a9789819793914 
311 08$a9819793912 
327   $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.
330   $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.
606   $aMathematical physics
606   $aComputer simulation
606   $aDifferential equations
606   $aBioinformatics
606   $aBiomathematics
606   $aComputational Physics and Simulations
606   $aDifferential Equations
606   $aComputational and Systems Biology
606   $aMathematical and Computational Biology
615  0$aMathematical physics.
615  0$aComputer simulation.
615  0$aDifferential equations.
615  0$aBioinformatics.
615  0$aBiomathematics.
615 14$aComputational Physics and Simulations.
615 24$aDifferential Equations.
615 24$aComputational and Systems Biology.
615 24$aMathematical and Computational Biology.
676   $a530.10285
700   $aKulasiri$b Don$01065159
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910951905003321
996   $aStochastic Differential Equations for Chemical Transformations in White Noise Probability Space$94348522
997   $aUNINA