| Description |
1 online resource (xii, 316 pages) : illustrations (some color) |
| Series |
De Gruyter Series in Mathematics and Life Sciences ; v. 1 |
|
De Gruyter series in mathematics and life sciences.
|
| Contents |
1 Introduction; 1.1 Scientific Frontiers at the Interface of Mathematics and Life Sciences; 1.1.1 Developing the Language of Science and Its Interdisciplinary Character; 1.1.2 Challenges at the Interface: Mathematics and Life Sciences; 1.1.3 What This Book Is About; 1.1.4 Concluding Remarks; 2 Mathematical and Statistical Modeling of Biological Systems; 2.1 Ensemble Modeling of Biological Systems; 2.1.1 Introduction; 2.1.2 Background; 2.1.3 Ensemble Model; 2.1.4 Computational Techniques; 2.1.5 Application to Viral Infection Dynamics; 2.1.6 Ensemble Models in Biology; 2.1.7 Conclusions |
|
3 Probabilistic Models for Nonlinear Processes and Biological Dynamics3.1 Nonlinear Lévy and Nonlinear Feller Processes: an Analytic Introduction; 3.1.1 Introduction; 3.1.2 Dual Propagators; 3.1.3 Perturbation Theory for Weak Propagators; 3.1.4 T-Products; 3.1.5 Nonlinear Propagators; 3.1.6 Linearized Evolution Around a Path of a Nonlinear Semigroup; 3.1.7 Sensitivity Analysis for Nonlinear Propagators; 3.1.8 Back to Nonlinear Markov Semigroups; 3.1.9 Concluding Remarks; 4 New Results in Mathematical Epidemiology and Modeling Dynamics of Infectious Diseases |
|
4.1 Formal Solutions of Epidemic Equation4.1.1 Introduction; 4.1.2 Epidemic Models; 4.1.3 Formal Solutions; 4.1.4 Separation of Variables; 4.1.5 Solvability of General Equations; 4.1.6 Concluding Remarks; 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; 5.1.1 Introduction; 5.1.2 Description of a Thin Perforated Domain with Quickly Oscillating Thickness and Statement of the Problem; 5.1.3 Equivalent Problem |
|
5.1.4 The Homogenized Theorem5.1.5 Asymptotic Expansions for the Eigenvalues and Eigenfunctions; 5.1.6 Conclusions; 6 Axiomatic Modeling in Life Sciences with Case Studies for Virus-immune System and Oncolytic Virus Dynamics; 6.1 Axiomatic Modeling in Life Sciences; 6.1.1 Introduction; 6.1.2 Boosting Immunity by Anti-viral Drug Therapy: Timing, Efficacy and Success; 6.1.3 Predictive Modeling of Oncolytic Virus Dynamics; 6.1.4 Conclusions; 7 Theory, Applications, and Control of Nonlinear PDEs in Life Sciences; 7.1 On One Semilinear Parabolic Equation of Normal Type; 7.1.1 Introduction |
|
7.1.2 Semilinear Parabolic Equation of Normal Type7.1.3 The Structure of NPE Dynamics; 7.1.4 Stabilization of Solution for NPE by Start Control; 7.1.5 Concluding Remarks; 7.2 On some Classes of Nonlinear Equations with L1 -Data; 7.2.1 Nonlinear Elliptic Second-order Equations with L1-data; 7.2.2 Nonlinear Fourth-order Equations with Strengthened Coercivity and L1-Data; 7.2.3 Concluding Remarks; 8 Mathematical Models of Pattern Formation and Their Applications in Developmental Biology; 8.1 Reaction-Diffusion Models of Pattern Formation in Developmental Biology; 8.1.1 Introduction |
| 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. It also includes arange of new ideas that represent emerging frontiers in life sciences where the application of such quantitative methods and techniques is becoming increasingly important. The bookis 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 |
| Bibliography |
Includes bibliographical references and index |
| Notes |
English |
|
Print version record |
| Subject |
Biomathematics.
|
|
Life sciences -- Mathematics
|
|
Research.
|
|
Mathematics.
|
|
Life sciences.
|
|
Research
|
|
Mathematics
|
|
Biological Science Disciplines
|
|
research (function)
|
|
mathematics.
|
|
applied mathematics.
|
|
biological sciences.
|
|
NATURE -- Reference.
|
|
SCIENCE -- Life Sciences -- Biology.
|
|
SCIENCE -- Life Sciences -- General.
|
|
Research
|
|
Mathematics
|
|
Life sciences
|
|
Biomathematics
|
|
Life sciences -- Mathematics
|
| Form |
Electronic book
|
| Author |
Antoniouk, Alexandra V., editor
|
|
Melnik, Roderick, editor
|
| LC no. |
2012039223 |
| ISBN |
3110288532 |
|
9783110288537 |
|
