| 000 | 03706nam a22005535i 4500 | ||
|---|---|---|---|
| 001 | 978-981-97-9392-1 | ||
| 003 | DE-He213 | ||
| 005 | 20251030114933.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 250127s2024 si | s |||| 0|eng d | ||
| 020 |
_a9789819793921 _9978-981-97-9392-1 |
||
| 024 | 7 |
_a10.1007/978-981-97-9392-1 _2doi |
|
| 050 | 4 | _aQC19.2-20.85 | |
| 072 | 7 |
_aPHU _2bicssc |
|
| 072 | 7 |
_aSCI040000 _2bisacsh |
|
| 072 | 7 |
_aPHU _2thema |
|
| 100 | 1 |
_aKulasiri, Don. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _990505 |
|
| 245 | 1 | 0 |
_aStochastic Differential Equations for Chemical Transformations in White Noise Probability Space _h[electronic resource] : _bWick Products and Computations / _cby Don Kulasiri. |
| 250 | _a1st ed. 2024. | ||
| 264 | 1 |
_aSingapore : _bSpringer Nature Singapore : _bImprint: Springer, _c2024. |
|
| 300 |
_aXVI, 155 p. 43 illus., 41 illus. in color. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 347 |
_atext file _bPDF _2rda |
||
| 505 | 0 | _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. | |
| 520 | _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. | ||
| 650 | 0 | _aMathematical physics. | |
| 650 | 0 | _aComputer simulation. | |
| 650 | 0 | _aDifferential equations. | |
| 650 | 0 |
_aBioinformatics. _964050 |
|
| 650 | 0 |
_aBiomathematics. _970325 |
|
| 650 | 1 | 4 |
_aComputational Physics and Simulations. _965564 |
| 650 | 2 | 4 | _aDifferential Equations. |
| 650 | 2 | 4 |
_aComputational and Systems Biology. _965974 |
| 650 | 2 | 4 |
_aMathematical and Computational Biology. _970327 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9789819793914 |
| 776 | 0 | 8 |
_iPrinted edition: _z9789819793938 |
| 776 | 0 | 8 |
_iPrinted edition: _z9789819793945 |
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-981-97-9392-1 |
| 912 | _aZDB-2-PHA | ||
| 912 | _aZDB-2-SXP | ||
| 999 |
_c66545 _d66545 |
||