LEADER 04747nam 22007695 450 001 9910136623703321 005 20220407180904.0 010 $a9783319395029 024 7 $a10.1007/978-3-319-39502-9 035 $a(CKB)3710000000902932 035 $a(EBL)4718088 035 $a(DE-He213)978-3-319-39502-9 035 $a(MiAaPQ)EBC4718088 035 $a(PPN)196323886 035 $a(EXLCZ)993710000000902932 100 $a20161014d2016 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aStochasticity in processes $efundamentals and applications to chemistry and biology /$fby Peter Schuster 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (728 p.) 225 1 $aSpringer Series in Synergetics,$x0172-7389 300 $aDescription based upon print version of record. 311 $a3-319-39500-9 311 $a3-319-39502-5 320 $aIncludes bibliographical references and index. 327 $aProbability -- Distributions, Moments and Statistics -- Stochastic Processes -- Applications in Chemistry -- Applications in Biology -- Perspectives -- References -- Glossary -- Notation. 330 $aThis book has developed over the past fifteen years from a modern course on stochastic chemical kinetics for graduate students in physics, chemistry and biology. The first part presents a systematic collection of the mathematical background material needed to understand probability, statistics, and stochastic processes as a prerequisite for the increasingly challenging practical applications in chemistry and the life sciences examined in the second part. Recent advances in the development of new techniques and in the resolution of conventional experiments at nano-scales have been tremendous: today molecular spectroscopy can provide insights into processes down to scales at which current theories at the interface of physics, chemistry and the life sciences cannot be successful without a firm grasp of randomness and its sources. Routinely measured data is now sufficiently accurate to allow the direct recording of fluctuations. As a result, the sampling of data and the modeling of relevant processes are doomed to produce artifacts in interpretation unless the observer has a solid background in the mathematics of limited reproducibility. The material covered is presented in a modular approach, allowing more advanced sections to be skipped if the reader is primarily interested in applications. At the same time, most derivations of analytical solutions for the selected examples are provided in full length to guide more advanced readers in their attempts to derive solutions on their own. The book employs uniform notation throughout, and a glossary has been added to define the most important notions discussed. 410 0$aSpringer Series in Synergetics,$x0172-7389 606 $aStatistical physics 606 $aDynamics 606 $aChemistry, Physical and theoretical 606 $aBiophysics 606 $aBiophysics 606 $aBiomathematics 606 $aBiometry 606 $aSystems biology 606 $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P33000 606 $aTheoretical and Computational Chemistry$3https://scigraph.springernature.com/ontologies/product-market-codes/C25007 606 $aBiological and Medical Physics, Biophysics$3https://scigraph.springernature.com/ontologies/product-market-codes/P27008 606 $aMathematical and Computational Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/M31000 606 $aBiostatistics$3https://scigraph.springernature.com/ontologies/product-market-codes/L15020 606 $aSystems Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/L15010 615 0$aStatistical physics. 615 0$aDynamics. 615 0$aChemistry, Physical and theoretical. 615 0$aBiophysics. 615 0$aBiophysics. 615 0$aBiomathematics. 615 0$aBiometry. 615 0$aSystems biology. 615 14$aComplex Systems. 615 24$aTheoretical and Computational Chemistry. 615 24$aBiological and Medical Physics, Biophysics. 615 24$aMathematical and Computational Biology. 615 24$aBiostatistics. 615 24$aSystems Biology. 676 $a530 700 $aSchuster$b Peter$4aut$4http://id.loc.gov/vocabulary/relators/aut$0347111 906 $aBOOK 912 $a9910136623703321 996 $aStochasticity in Processes$92536037 997 $aUNINA