Mathematics and Life Sciences / / ed. by Alexandra V. Antoniouk, Roderick V. N. Melnik.

• Superior document: Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
• MitwirkendeR: Anderssen, Robert S.,; Anderssen, Robert,; Antoniouk, Alexandra V.,; Bouville, Andre,; Byrne, Helen M.,; Chepurny, Mykola,; Edwards, Maureen P.,; Fursikov, Andrei V. ,; Fursikov, Andrei V.,; Kolokoltsov, Vassili N.,; Komarova, Natalia L. ,; Komarova, Natalia L.,; Kovalevsky, Alexander A. ,; Kovalevsky, Alexander A.,; Kovgan, Lina,; Kukush, Alexander,; Likhtarov, Illya,; László, János F. ,; László, János F.,; Marciniak-Czochra, Anna,; Masiuk, Sergii,; Melnik, Roderick V. N.,; Mel’nyk, Taras A. ,; Mel’nyk, Taras A.,; Pereverzyev Jr., Sergiy ,; Pereverzyev, Sergiy,; Popov, Andrey V.,; Shklyar, Sergiy,; Stepanenko, Vitaly A. ,; Stepanenko, Vitaly A.,; Swigon, David,; Tarkhanov, Nikolai,
• HerausgeberIn: Antoniouk, Alexandra V.,; Melnik, Roderick V. N.,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2012]; ©2013
• Year of Publication: 2012
• Language: English
• Series: De Gruyter Series in Mathematics and Life Sciences , 1
• Physical Description: 1 online resource (316 p.)

The 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 scie...

Table of Contents

• Frontmatter
• Preface
• Contents
• 1 Introduction
• 1.1 Scientific Frontiers at the Interface of Mathematics and Life Sciences
• 2 Mathematical and Statistical Modeling of Biological Systems
• 2.1 Ensemble Modeling of Biological Systems
• 3 Probabilistic Models for Nonlinear Processes and Biological Dynamics
• 3.1 Nonlinear Lévy and Nonlinear Feller Processes: an Analytic Introduction
• 4 New Results in Mathematical Epidemiology and Modeling Dynamics of Infectious Diseases
• 4.1 Formal Solutions of Epidemic Equation
• 5 Mathematical Analysis of PDE-based Models and Applications in Cell Biology
• 5.1 Asymptotic Analysis of the Dirichlet Spectral Problems in Thin Perforated Domains with Rapidly Varying Thickness and Different Limit Dimensions
• 6 Axiomatic Modeling in Life Sciences with Case Studies for Virus-immune System and Oncolytic Virus Dynamics
• 6.1 AxiomaticModeling in Life Sciences
• 7 Theory, Applications, and Control of Nonlinear PDEs in Life Sciences
• 7.1 On One Semilinear Parabolic Equation of Normal Type
• 7.2 On some Classes of Nonlinear Equations with L1-Data
• 8 Mathematical Models of Pattern Formation and Their Applications in Developmental Biology
• 8.1 Reaction-Diffusion Models of Pattern Formation in Developmental Biology
• 9 Modeling the Dynamics of Genetic Mechanism, Pattern Formation, and the Genetics of “Geometry”
• 9.1 Modeling the Positioning of Trichomes on the Leaves of Plants
• 10 Statistical Modeling in Life Sciences and Direct Measurements
• 10.1 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
• 11 Design and Development of Experiments for Life Science Applications
• 11.1 Physiological Effects of Static Magnetic Field Exposure in an in vivo Acute Visceral Pain Model in Mice
• 12 Mathematical Biomedicine and Modeling Avascular Tumor Growth
• 12.1 Continuum Models of Avascular Tumor Growth
• Index