Mathematics

Mathematics for Biology & Medicine

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Fractal Patterns in Nonlinear Dynamics and Applications

1st Edition

Santo Banerjee, M K Hassan, Sayan Mukherjee, A Gowrisankar
December 05, 2019

Most books on fractals focus on deterministic fractals as the impact of incorporating randomness and time is almost absent. Further, most review fractals without explaining what scaling and self-similarity means. This book introduces the idea of scaling, self-similarity, scale-invariance and their...

Time Delay ODE/PDE Models: Applications in Biomedical Science and Engineering

1st Edition

W.E. Schiesser
December 02, 2019

Time delayed (lagged) variables are an inherent feature of biological/physiological systems.  For example, infection from a disease may at first be asymptomatic, and only after a delay is the infection apparent so that treatment can begin.Thus, to adequately describe physiological systems,...

Solved and Unsolved Problems of Structural Chemistry

1st Edition

Milan Randic, Marjana Novic, Dejan Plavsic
November 18, 2019

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...

Computational Hydrodynamics of Capsules and Biological Cells

1st Edition

Constantine Pozrikidis
October 18, 2019

Spanning biological, mathematical, computational, and engineering sciences, computational biofluiddynamics addresses a diverse family of problems involving fluid flow inside and around living organisms, organs, tissue, biological cells, and other biological materials. Computational Hydrodynamics of...

Moving Boundary PDE Analysis: Biomedical Applications in R

1st Edition

William Schiesser
June 14, 2019

Mathematical models stated as systems of partial differential equations (PDEs) are broadly used in biology, chemistry, physics and medicine (physiology). These models describe the spatial and temporial variations of the problem system dependent variables, such as temperature, chemical and...

Hormones as Tokens of Selection: Qualitative Dynamics of Homeostasis and Regulation in Organismal Biology

1st Edition

Hugo van den Berg
April 23, 2019

Hormones as Tokens of Selection addresses deep questions in biology: How are biological systems controlled? How can one formulate general theories of homeostasis and control and instantiate such theories in mathematical models? How can one use evolutionary arguments to guide our answers to these...

Finite Element Analysis for Biomedical Engineering Applications

1st Edition

Z. C. Yang
March 29, 2019

Finite element analysis has been widely applied to study biomedical problems. This book aims to simulate some common medical problems using finite element advanced technologies, which establish a base for medical researchers to conduct further investigations. This book consists of four main parts:...

Revival: Fractals in Soil Science (1998): Advances in Soil Science

1st Edition

Philippe Baveye, Jean-Yves Parlange, B.A. Stewart
January 29, 2019

The application of fractals and fractal geometry in soil science has become increasingly important over the last few years. This self-contained and timely book was designed to provide detailed and comprehensive information on the current status of the application of fractal geometry in soil science...

Mathematical Population Dynamics and Epidemiology in Temporal and Spatio-Temporal Domains

1st Edition

Harkaran Singh, Joydip Dhar
December 07, 2018

Mankind now faces even more challenging environment- and health-related problems than ever before. Readily available transportation systems facilitate the swift spread of diseases as large populations migrate from one part of the world to another. Studies on the spread of the communicable diseases...

Systems Immunology: An Introduction to Modeling Methods for Scientists

1st Edition

Jayajit Das, Ciriyam Jayaprakash
September 06, 2018

"Taken together, the body of information contained in this book provides readers with a bird’s-eye view of different aspects of exciting work at the convergence of disciplines that will ultimately lead to a future where we understand how immunity is regulated, and how we can harness this knowledge...

Computational Blood Cell Mechanics: Road Towards Models and Biomedical Applications

1st Edition

Ivan Cimrak, Iveta Jancigova
August 28, 2018

Simulating blood cells for biomedical applications is a challenging goal. Whether you want to investigate blood flow behavior on the cell scale, or use a blood cell model for fast computational prototyping in microfluidics, Computational Blood Cell Mechanics will help you get started, and show you...

Fractals and Multifractals in Ecology and Aquatic Science

1st Edition

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...

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