LEADER 06351nam 22007933 450 001 9910825160203321 005 20240516150026.0 010 $a3-11-028853-2 024 7 $a10.1515/9783110288537 035 $a(CKB)2550000001096924 035 $a(EBL)893694 035 $a(OCoLC)829462212 035 $a(SSID)ssj0001012729 035 $a(PQKBManifestationID)11552395 035 $a(PQKBTitleCode)TC0001012729 035 $a(PQKBWorkID)11045669 035 $a(PQKB)10230172 035 $a(MiAaPQ)EBC893694 035 $a(DE-B1597)177045 035 $a(OCoLC)1002263051 035 $a(OCoLC)1004877857 035 $a(OCoLC)1011446185 035 $a(OCoLC)1013941622 035 $a(OCoLC)979762158 035 $a(OCoLC)987934609 035 $a(OCoLC)992454033 035 $a(OCoLC)999361242 035 $a(DE-B1597)9783110288537 035 $a(Au-PeEL)EBL893694 035 $a(CaPaEBR)ebr10661406 035 $a(CaONFJC)MIL503458 035 $a(EXLCZ)992550000001096924 100 $a20121204d2013 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 00$aMathematics and life sciences /$fedited by Alexandra V. Antoniouk, Roderick V.N. Melnik 205 $a1st ed. 210 $aBerlin $cDe Gruyter$d2013 215 $a1 online resource (328 p.) 225 0 $aDe Gruyter series in mathematics and life sciences ;$v1 300 $aDescription based upon print version of record. 311 $a3-11-027372-1 311 $a1-299-72207-5 320 $aIncludes bibliographical references and index. 327 $tFront matter --$tPreface --$tContents --$t1 Introduction --$t1.1 Scientific Frontiers at the Interface of Mathematics and Life Sciences /$rAntoniouk, Alexandra V. / Melnik, Roderick V. N. --$t2 Mathematical and Statistical Modeling of Biological Systems --$t2.1 Ensemble Modeling of Biological Systems /$rSwigon, David --$t3 Probabilistic Models for Nonlinear Processes and Biological Dynamics --$t3.1 Nonlinear Lévy and Nonlinear Feller Processes: an Analytic Introduction /$rKolokoltsov, Vassili N. --$t4 New Results in Mathematical Epidemiology and Modeling Dynamics of Infectious Diseases --$t4.1 Formal Solutions of Epidemic Equation /$rStepanenko, Vitaly A. / Tarkhanov, Nikolai --$t5 Mathematical Analysis of PDE-based Models and Applications in Cell Biology --$t5.1 Asymptotic Analysis of the Dirichlet Spectral Problems in Thin Perforated Domains with Rapidly Varying Thickness and Different Limit Dimensions /$rMel'nyk, Taras A. / Popov, Andrey V. --$t6 Axiomatic Modeling in Life Sciences with Case Studies for Virus-immune System and Oncolytic Virus Dynamics --$t6.1 AxiomaticModeling in Life Sciences /$rKomarova, Natalia L. --$t7 Theory, Applications, and Control of Nonlinear PDEs in Life Sciences --$t7.1 On One Semilinear Parabolic Equation of Normal Type /$rFursikov, Andrei V. --$t7.2 On some Classes of Nonlinear Equations with L1-Data /$rKovalevsky, Alexander A. --$t8 Mathematical Models of Pattern Formation and Their Applications in Developmental Biology --$t8.1 Reaction-Diffusion Models of Pattern Formation in Developmental Biology /$rMarciniak-Czochra, Anna --$t9 Modeling the Dynamics of Genetic Mechanism, Pattern Formation, and the Genetics of "Geometry" --$t9.1 Modeling the Positioning of Trichomes on the Leaves of Plants /$rAnderssen, Robert S. / Edwards, Maureen P. / Pereverzyev, Sergiy --$t10 Statistical Modeling in Life Sciences and Direct Measurements --$t10.1 Error Estimation for Direct Measurements in May-June 1986 of 131I Radioactivity in Thyroid Gland of Children and Adolescents and Their Registration in Risk Analysis /$rLikhtarov, Illya / Masiuk, Sergii / Chepurny, Mykola / Kukush, Alexander / Shklyar, Sergiy / Bouville, Andre / Kovgan, Lina --$t11 Design and Development of Experiments for Life Science Applications --$t11.1 Physiological Effects of Static Magnetic Field Exposure in an in vivo Acute Visceral Pain Model in Mice /$rLászló, János F. --$t12 Mathematical Biomedicine and Modeling Avascular Tumor Growth --$t12.1 Continuum Models of Avascular Tumor Growth /$rByrne, Helen M. --$tIndex 330 $aThe book provides a unique collection of in-depth mathematical, statistical, and modeling methods and techniques for life sciences, as well as their applications in a number of areas within life sciences. The book provides also with a range of new ideas that represent emerging frontiers in life sciences where the application of such quantitative methods and techniques is becoming increasingly important. Many areas within life sciences are becoming increasingly quantitative and the progress in those areas will be more and more dependent on the successful development of advanced mathematical, statistical and modelling methodologies and techniques. The state-of-the-art developments in such methodologies and techniques are scattered throughout research journals and hardly accessible to the practitioners in those areas. This book identifies a number of frontier areas where such methodologies and techniques have recently been developed and are to be published here for the first time, bringing substantial potential benefit to a range of applications in life sciences. In addition, the book contains several state-of-the-art surveys at the interface of mathematics and life sciences that would benefit a larger interdisciplinary community. It is aimed at researchers in academia, practitioners and graduate students who want to foster interdisciplinary collaborations required to meet the challenges at the interface of modern life sciences and mathematics. 410 3$aDe Gruyter Series in Mathematics and Life Sciences 606 $aBiomathematics 606 $aLife sciences$xMathematics 610 $aApplication. 610 $aLife Sciences. 610 $aMathematical Method. 610 $aModeling Method. 610 $aStatistical Method. 615 0$aBiomathematics. 615 0$aLife sciences$xMathematics. 676 $a570.1/51 701 $aAntoniouk$b Alexandra V$01721470 701 $aMelnik$b Roderick$01721471 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910825160203321 996 $aMathematics and life sciences$94121126 997 $aUNINA