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Mathematical Methods and Models in Biomedicine (Lecture Notes on Mathematical Modelling in the Life Sciences)

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Synopses & Reviews

Publisher Comments:

Mathematical biomedicine is a rapidly developing interdisciplinary field of research that connects the natural and exact sciences in an attempt to respond to the modeling and simulation challenges raised by biology and medicine. There exist a large number of mathematical methods and procedures that can be brought in to meet these challenges and this book presents a palette of such tools ranging from discrete cellular automata to cell population based models described by ordinary differential equations to nonlinear partial differential equations representing complex time- and space-dependent continuous processes. Both stochastic and deterministic methods are employed to analyze biological phenomena in various temporal and spatial settings. This book illustrates the breadth and depth of research opportunities that exist in the general field of mathematical biomedicine by highlighting some of the fascinating interactions that continue to develop between the mathematical and biomedical sciences. It consists of five parts that can be read independently, but are arranged to give the reader a broader picture of specific research topics and the mathematical tools that are being applied in its modeling and analysis. The main areas covered include immune system modeling, blood vessel dynamics, cancer modeling and treatment, and epidemiology. The chapters address topics that are at the forefront of current biomedical research such as cancer stem cells, immunodominance and viral epitopes, aggressive forms of brain cancer, or gene therapy. The presentations highlight how mathematical modeling can enhance biomedical understanding and will be of interest to both the mathematical and the biomedical communities including researchers already working in the field as well as those who might consider entering it. Much of the material is presented in a way that gives graduate students and young researchers a starting point for their own work.

Table of Contents

Spatial aspects of HIV infection.- Basic Principles in Modeling Adaptive Regulation and Immunodominance.- Evolutionary Principles In Viral Epitopes.- A Multiscale Approach Leading to Hybrid Mathematical Models for Angiogenesis: the Role of Randomness.- Modeling Tumor Blood Vessel Dynamics.- Influence of Blood Rheology and Outflow Boundary Conditions in Numerical Simulations of Cerebral Aneurysms.- The Steady State of Multicellular Tumour Spheroids: a Modelling Challenge.- Deciphering Fate Decision in Normal and Cancer Stem Cells - Mathematical Models and Their Experimental Verification..- Data Assimilation in Brain Tumor Models.- Optimisation of Cancer Drug Treatments Using Cell Population Dynamics.- Tumor Development under Combination Treatments with Antiangiogenic Therapies.- Saturable Fractal Pharmacokinetics and Its Applications.- A MathematicalModel of Gene Therapy for the Treatment of Cancer.- Epidemiological Models with Seasonality.- Periodic Incidence in a Discrete-Time SIS Epidemic Model.

Product Details

ISBN:
9781461441779
Author:
Ledzewicz, Ursula
Publisher:
Springer
Author:
Friedman, Avner
Author:
Schättler, Heinz
Author:
Schaettler, Heinz
Author:
Ledzewicz, Urszula
Author:
Kashdan, Eugene
Subject:
Mathematical Modeling
Subject:
biomedical applications
Subject:
cancer dynamics
Subject:
Cancer -- Treatment.
Subject:
Epidemiology
Subject:
Immune system
Subject:
Mathematical and Computational Biology
Subject:
Mathematical Modeling and Industrial Mathematics
Subject:
Life Sciences - General
Subject:
Biomedical Engineering
Subject:
OPTIMIZATION
Subject:
Mathematics-Applied
Subject:
Applied
Copyright:
Edition Description:
2012
Series:
Lecture Notes on Mathematical Modelling in the Life Sciences
Publication Date:
20120827
Binding:
TRADE PAPER
Language:
English
Pages:
438
Dimensions:
235 x 155 mm

Related Subjects

Engineering » Engineering » Biomedical
Engineering » Engineering » General Engineering
History and Social Science » Economics » General
Science and Mathematics » Biology » General
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Biological Sciences

Mathematical Methods and Models in Biomedicine (Lecture Notes on Mathematical Modelling in the Life Sciences) New Trade Paper
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