Mathematics

Mathematics for Biology & Medicine

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Fractals and Multifractals in Ecology and Aquatic Science

Laurent Seuront
September 12, 2017

Ecologists sometimes have a less-than-rigorous background in quantitative methods, yet research within this broad field is becoming increasingly mathematical. Written in a step-by-step fashion, Fractals and Multifractals in Ecology and Aquatic Science provides scientists with a basic understanding...

Mathematical Models of Plant-Herbivore Interactions

Zhilan Feng, Donald DeAngelis
August 16, 2017

Mathematical Models of Plant-Herbivore Interactions addresses mathematical models in the study of practical questions in ecology, particularly factors that affect herbivory, including plant defense, herbivore natural enemies, and adaptive herbivory, as well as the effects of these on plant...

An Introduction to Physical Oncology: How Mechanistic Mathematical Modeling Can Improve Cancer Therapy Outcomes

Vittorio Cristini, Eugene Koay, Zhihui Wang
July 06, 2017

Physical oncology has the potential to revolutionize cancer research and treatment. The fundamental rationale behind this approach is that physical processes, such as transport mechanisms for drug molecules within tissue and forces exchanged by cancer cells with tissue, may play an equally...

Applications of Lie Groups to Difference Equations

Vladimir Dorodnitsyn
June 16, 2017

Intended for researchers, numerical analysts, and graduate students in various fields of applied mathematics, physics, mechanics, and engineering sciences, Applications of Lie Groups to Difference Equations is the first book to provide a systematic construction of invariant difference schemes for...

Dynamics of the Chemostat: A Bifurcation Theory Approach

Abdelhamid Ajbar, Khalid Alhumaizi
June 07, 2017

A ubiquitous tool in mathematical biology and chemical engineering, the chemostat often produces instabilities that pose safety hazards and adversely affect the optimization of bioreactive systems. Singularity theory and bifurcation diagrams together offer a useful framework for addressing these...

Stochastic Communities: A Mathematical Theory of Biodiversity

A. K. Dewdney
May 05, 2017

Stochastic Communities presents a theory of biodiversity by analyzing the distribution of abundances among species in the context of a community. The basis of this theory is a distribution called the "J distribution." This distribution is a pure hyperbola and mathematically implied by the "...

Modeling and Control for Micro/Nano Devices and Systems

Ning Xi, Mingjun Zhang, Guangyong Li
March 29, 2017

Micro/nano-scale engineering—especially the design and implementation of ultra-fast and ultra-scale energy devices, sensors, and cellular and molecular systems—remains a daunting challenge. Modeling and control has played an essential role in many technological breakthroughs throughout the course...

Pharmacokinetic and Pharmacodynamic Data Analysis: Concepts and Applications, Fifth Edition

Johan Gabrielsson, Daniel Weiner
January 26, 2017

Pharmacokinetic and Pharmacodynamic Data Analysis: Concepts and Applications teaches everyday biological data analysis to the undergraduate and graduate levels. Through numerous examples and over 100 tutorials, scientists learn how to use PK/PD seamlessly in a variety of practical areas, from...

Fractals: Applications in Biological Signalling and Image Processing

Dinesh Kumar, Sridhar P. Arjunan, Behzad Aliahmad
October 04, 2016

The book provides an insight into the advantages and limitations of the use of fractals in biomedical data. It begins with a brief introduction to the concept of fractals and other associated measures and describes applications for biomedical signals and images. Properties of biological data in...

Introduction to Mathematical Oncology

Yang Kuang, John D. Nagy, Steffen E. Eikenberry
February 18, 2016

Introduction to Mathematical Oncology presents biologically well-motivated and mathematically tractable models that facilitate both a deep understanding of cancer biology and better cancer treatment designs. It covers the medical and biological background of the diseases, modeling issues, and...

Solved and Unsolved Problems of Structural Chemistry

Milan Randic, Marjana Novic, Dejan Plavsic
February 12, 2016

Solved and Unsolved Problems of Structural Chemistry introduces new methods and approaches for solving problems related to molecular structure. It includes numerous subjects such as aromaticity—one of the central themes of chemistry—and topics from bioinformatics such as graphical and numerical...

Dynamical Systems for Biological Modeling: An Introduction

Fred Brauer, Christopher Kribs
December 22, 2015

Dynamical Systems for Biological Modeling: An Introduction prepares both biology and mathematics students with the understanding and techniques necessary to undertake basic modeling of biological systems. It achieves this through the development and analysis of dynamical systems. The approach...

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