Mathematics and life sciences / edited by Alexandra V. Antoniouk, Roderick V.N. Melnik.

Format:

Book

Contributor:

Antoniouk, Alexandra V.

Melnik, Roderick.

Series:

De Gruyter Series in Mathematics and Life Sciences

De Gruyter series in mathematics and life sciences ; 1

Language:

English

Subjects (All):

Biomathematics.

Life sciences--Mathematics.

Life sciences.

Physical Description:

1 online resource (328 p.)

Edition:

1st ed.

Place of Publication:

Berlin : De Gruyter, 2013.

Language Note:

English

Summary:

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 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.

Contents:

Front matter

Preface

Contents

1 Introduction

1.1 Scientific Frontiers at the Interface of Mathematics and Life Sciences / Antoniouk, Alexandra V. / Melnik, Roderick V. N.

2 Mathematical and Statistical Modeling of Biological Systems

2.1 Ensemble Modeling of Biological Systems / Swigon, David

3 Probabilistic Models for Nonlinear Processes and Biological Dynamics

3.1 Nonlinear Lévy and Nonlinear Feller Processes: an Analytic Introduction / Kolokoltsov, Vassili N.

4 New Results in Mathematical Epidemiology and Modeling Dynamics of Infectious Diseases

4.1 Formal Solutions of Epidemic Equation / Stepanenko, Vitaly A. / Tarkhanov, Nikolai

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 / Mel'nyk, Taras A. / Popov, Andrey V.

6 Axiomatic Modeling in Life Sciences with Case Studies for Virus-immune System and Oncolytic Virus Dynamics

6.1 AxiomaticModeling in Life Sciences / Komarova, Natalia L.

7 Theory, Applications, and Control of Nonlinear PDEs in Life Sciences

7.1 On One Semilinear Parabolic Equation of Normal Type / Fursikov, Andrei V.

7.2 On some Classes of Nonlinear Equations with L1-Data / Kovalevsky, Alexander A.

8 Mathematical Models of Pattern Formation and Their Applications in Developmental Biology

8.1 Reaction-Diffusion Models of Pattern Formation in Developmental Biology / Marciniak-Czochra, Anna

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 / Anderssen, Robert S. / Edwards, Maureen P. / Pereverzyev, Sergiy

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 / Likhtarov, Illya / Masiuk, Sergii / Chepurny, Mykola / Kukush, Alexander / Shklyar, Sergiy / Bouville, Andre / Kovgan, Lina

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 / László, János F.

12 Mathematical Biomedicine and Modeling Avascular Tumor Growth

12.1 Continuum Models of Avascular Tumor Growth / Byrne, Helen M.

Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9783110288537

3110288532

OCLC:

829462212