Mathematics for Biology & Medicine

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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...

Metasolutions of Parabolic Equations in Population Dynamics

Julián López-Gómez
October 23, 2015

Analyze Global Nonlinear Problems Using Metasolutions Metasolutions of Parabolic Equations in Population Dynamics explores the dynamics of a generalized prototype of semilinear parabolic logistic problem. Highlighting the author’s advanced work in the field, it covers the latest developments in the...

Search and Foraging: Individual Motion and Swarm Dynamics

Eugene Kagan, Irad Ben-Gal
June 23, 2015

Since the start of modern computing, the studies of living organisms have inspired the progress in developing computers and intelligent machines. In particular, the methods of search and foraging are the benchmark problems for robotics and multi-agent systems. The highly developed theory of search...

Patterns in Excitable Media: Genesis, Dynamics, and Control

Sitabhra Sinha, S. Sridhar
December 13, 2014

Excitable media comprise a class of models for a wide range of physical, chemical, and biological systems that exhibit spontaneous formation of spatial patterns. Patterns in Excitable Media: Genesis, Dynamics, and Control explores several aspects of the dynamics of such patterns—in particular their...

Synthetic Gene Network: Modeling, Analysis and Robust Design Methods

Bor-Sen Chen, Yu-Chao Wang
May 02, 2014

This book develops a rational design and systematic approach to construct a gene network with desired behaviors. In order to achieve this goal, the registry of standard biological parts and experimental techniques are introduced at first. Then these biological components are characterized by a...

Stochastic Dynamics for Systems Biology

Christian Mazza, Michel Benaim
March 11, 2014

Stochastic Dynamics for Systems Biology is one of the first books to provide a systematic study of the many stochastic models used in systems biology. The book shows how the mathematical models are used as technical tools for simulating biological processes and how the models lead to conceptual...