Advances in Nonlinear Dynamics Research

$230.00

Margaret Palmer (Editor)

Series: Mathematics Research Developments
BISAC: MAT017000

This book provides new research on the advances in nonlinear dynamics. Chapter One studies compactons in carbon nanotube arrays. Chapter Two reviews the elastic and plastic type behaviors in the Fractal Theory of Motion at nanoscale. Chapter Three analyzes a particular model of tumor progression, assuming that the invasive cells, the connective tissue and the proteases are moving through a non-differential medium governed by the Non-Standard Scale Relativity Theory (NSRT) (Scale Relativity Theory with arbitrary constant fractal dimension). Chapter Four studies the process of drug release from a polymer matrix. Chapter Five examines the implications of drug release from a polymeric matrix process. Chapter Six reviews behaviors of traveling waves and Shapiro step types in a tumor-growth model. Chapter Seven discusses the astonishing evolutionary dynamics of a class of nonlinear discrete 2D pattern formations and growth models.
(Imprint: Nova)

Table of Contents

Table of Contents

Preface

Chapter 1. Compactons in Carbon Nanotube Arrays
Raïssa S. Noule and Victor K. Kuetche (National Advanced School of Engineering, University of Yaounde I, Cameroon, and others)

Chapter 2. Elastic and Plastic Type Behaviours in the Fractal Theory of Motion at Nanoscale
Maricel Agop, Alina Gavriluţ, Gabriel Gavriluţ, Irina Butuc, and Dan Dezideriu Iacob (Gh. Asachi Technical University, Department of Physics, Iaşi, Romania, and others)

Chapter 3. Malignant Invasion Model with a Small Amount of Diffusion in the Framework of a Fractal Theory: Implications of the Drug Release from Polymeric Matrix Process
Decebal Vasincu, Daniel Timofte, Lăcrămioara Ochiuz, Maricel Agop, and Alina Gavriluţ (Surgery Department, Biophysical Section, “Gr.T. Popa” University of Medicine and Pharmacy, Iaşi, Romania, and others)

Chapter 4. Non-Linearities in Drug Release Process from Polymeric Microparticles: Implications in the Fractal Morpho-Functional Structure of the Biological Systems
Lăcrămioara Ochiuz, Daniel Timofte, Decebal Vasincu, Alina Gavriluţ, Gabriel Gavriluţ, and Maricel Agop (Department of Pharmaceutical Technology, Faculty of Pharmacy, “Gr. T. Popa” University of Medicine and Pharmacy, Iaşi, Romania, and others)

Chapter 5. Chaos and Self –Structuring Behaviors in the Dynamics of Biological Structures: Implications of the Drug Release from Polymeric Matrix Process
Daniel Timofte, Lăcrămioara Ochiuz, Decebal Vasincu, Gabriel Crumpei, Alina Gavriluţ, and Maricel Agop (Surgery Department, Hospital Sf. Spiridon, “Gr.T. Popa” University of Medicine and Pharmacy, Iaşi, Romania, and others)

Chapter 6. Behaviors of Travelling Waves and Shapiro Steps Types in a Tumour-Growth Model
Cipriana Ştefănescu, Daniel Timofte, Decebal Vasincu, Dan Tesloianu, Maricel Agop, and Alina Gavriluţ (Faculty of Medicine, Biophysics and Medical Physics Department, “Gr.T. Popa” University of Medicine and Pharmacy, Iaşi, Romania, and others)

Chapter 7. The Astonishing Evolutionary Dynamics of a Class of Nonlinear Discrete 2D Pattern Formation and Growth Models
Leonid Yaroslavsky (Dept. of Physical Electronics, School of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel)

Index

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