Mathematical modelling Books
World Scientific Publishing Co Pte Ltd Mathematical Biology And Biological Physics
Book SynopsisThis is a book on interdisciplinary topics of the Mathematical and Biological Sciences. The treatment is both pedagogical and advanced in order to motivate research students as well as to fulfill the requirements of professional practitioners. There are comprehensive reviews written by senior experts on the important problems of growth and agglomeration in biology, on the algebraic modelling of the genetic code and on multi-step biochemical pathways.There are new results on the state of the art research in the pattern recognition of probability distribution of amino acids, on somitogenesis through reaction-diffusion models, on the mathematical modelling of infectious diseases, on the biophysical modelling of physiological disorders, on the sensitive analysis of parameters of malaria models, on the stability and hopf bifurcation of ecological and epidemiological models, on the viral infection of bee colonies and on the structure and motion of proteins. All these contributions are also strongly recommended to professionals from other scientific areas aiming to work on these interdisciplinary fields.
£108.90
World Scientific Publishing Co Pte Ltd Grammar Of Complexity: From Mathematics To A
Book SynopsisThe book is an introduction, for both graduate students and newcomers to the field of the modern theory of mesoscopic complex systems, time series, hypergraphs and graphs, scaled random walks, and modern information theory. As these are applied for the exploration and characterization of complex systems. Our self-consistent review provides the necessary basis for consistency. We discuss a number of applications such diverse as urban structures and musical compositions.
£85.50
World Scientific Publishing Co Pte Ltd Mathematical Music Theory: Algebraic, Geometric,
Book SynopsisQuestions about variation, similarity, enumeration, and classification of musical structures have long intrigued both musicians and mathematicians. Mathematical models can be found from theoretical analysis to actual composition or sound production. Increasingly in the last few decades, musical scholarship has incorporated modern mathematical content. One example is the application of methods from Algebraic Combinatorics, or Topology and Graph Theory, to the classification of different musical objects. However, these applications of mathematics in the understanding of music have also led to interesting open problems in mathematics itself.The reach and depth of the contributions on mathematical music theory presented in this volume is significant. Each contribution is in a section within these subjects: (i) Algebraic and Combinatorial Approaches; (ii) Geometric, Topological, and Graph-Theoretical Approaches; and (iii) Distance and Similarity Measures in Music.
£112.50
Springer Verlag, Singapore Machine Learning in Social Networks: Embedding Nodes, Edges, Communities, and Graphs
Book SynopsisThis book deals with network representation learning. It deals with embedding nodes, edges, subgraphs and graphs. There is a growing interest in understanding complex systems in different domains including health, education, agriculture and transportation. Such complex systems are analyzed by modeling, using networks that are aptly called complex networks. Networks are becoming ubiquitous as they can represent many real-world relational data, for instance, information networks, molecular structures, telecommunication networks and protein–protein interaction networks. Analysis of these networks provides advantages in many fields such as recommendation (recommending friends in a social network), biological field (deducing connections between proteins for treating new diseases) and community detection (grouping users of a social network according to their interests) by leveraging the latent information of networks. An active and important area of current interest is to come out with algorithms that learn features by embedding nodes or (sub)graphs into a vector space. These tasks come under the broad umbrella of representation learning. A representation learning model learns a mapping function that transforms the graphs' structure information to a low-/high-dimension vector space maintaining all the relevant properties. Table of ContentsIntroduction 1.1 introduction 1.2 Notations used in Book 1.3 Contents covered in this book 2 Representations of Networks 2.1 Introduction 2.2 Networks Represented as Graphs 2.3 Data Structures to Represent Graphs 2.3.1 Matrix Representation 2.3.2 Adjacency List 2.4 Network Embeddings 2.5 Evaluation Datasets 2.5.1 Evaluation Datasets 2.5.2 Evaluation Metrics 2.6 Machine Learning Downstream Tasks 2.6.1 Classification 2.6.2 Clustering 2.6.3 Link Prediction (LP) 2.6.4 Visualization 2.6.5 Network Reconstruction 2.7 Embeddings based on Matrix Factorization 2.7.1 Singular Value Decomposition (SVD) 2.7.2 Matrix Factorization based Clustering 2.7.3 Soft Clustering as Matrix Factorization 2.7.4 Non-negative Matrix factorization (NMF) 2.8 Word2vec 2.8.1 Skipgram model 2.9 Learning Network Embeddings 2.9.1 Supervised Learning 2.9.2 Unsupervised Learning 2.9.3 Node and Edge Embeddings 2.9.4 Graph Embedding 2.10 Summary 3 Deep Learning 3.1 Introduction 3.2 Neural Networks 3.2.1 Perceptron 3.2.2 Characteristics of Neural Networks 3.2.3 Multilayer Perceptron Networks 3.2.4 Training MLP Networks 3.3 Convolution Neural Networks 3.3.1 Activation Function 3.3.2 Initialization of Weights 3.3.3 Deep Feedforward Neural Network 3.4 Recurrent Networks 3.4.1 Recurrent Neural Networks 3.4.2 Long Short Term Memory 3.4.3 Different Gates used by LSTM 3.4.4 Training of LSTM Models 3.5 Learning Representations using Autoencoders 3.5.1 Types of Autoencoders 3.6 Summary References 4 Embedding Nodes and Edge 4.1 Introduction 4.2 Representation of Node and Edges as Vectors 4.3 Embeddings based on Random Walks 4.4 Embeddings based on Matrix Factorization 4.5 Graph Neural Network Models 4.6 State of the art algorithms 4.7 Evaluation methods and Machine Learning tasks 4.8 Summary References 5 Embedding Graphs 5.1 Introduction 5.2 Representation of Graphs as Vectors 5.3 Graph Representation using Node Embeddings 5.4 Graph Pooling Techniques 5.4.1 Global Pooling Methods 5.4.2 Hierarchical Pooling Methods 5.5 State of the art algorithms 5.6 Evaluation methods and Machine Learning tasks 5.7 Summary References
£49.49
World Scientific Publishing Co Pte Ltd Modeling, Computation And Optimization
Book SynopsisThis volume provides recent developments and a state-of-the-art review in various areas of mathematical modeling, computation and optimization. It contains theory, computation as well as the applications of several mathematical models to problems in statistics, games, optimization and economics for decision making. It focuses on exciting areas like models for wireless networks, models of Nash networks, dynamic models of advertising, application of reliability models in economics, support vector machines, optimization, complementarity modeling and games.Table of ContentsModeling a Jamming Game for Wireless Networks (A Garnaev); Existence of Nash Networks in the One-Way Flow Model of Network Formation (J Derks et al.); Strategic Advertisement with Externalities: A New Dynamic Approach (R Joosten); A New Axiomatization of the Shapley Value for TU-Games in Terms of Semi-Null Players Applied to 1-Concave Games (T S H Driessen); Coextrema Additive Operators (T Ui et al.); Models without Main Players (T S Arthanari); Weak Convergence of an Iterative Scheme with a Weaker Coefficient Condition (Y Kimura); Complementarity Modeling and Game Theory: A Survey (S K Neogy & A K Das); and other papers.
£104.40
World Scientific Publishing Co Pte Ltd Towards A Mathematical Theory Of Complex
Book SynopsisThis monograph has the ambitious aim of developing a mathematical theory of complex biological systems with special attention to the phenomena of ageing, degeneration and repair of biological tissues under individual self-repair actions that may have good potential in medical therapy.The approach to mathematically modeling biological systems needs to tackle the additional difficulties generated by the peculiarities of living matter. These include the lack of invariance principles, abilities to express strategies for individual fitness, heterogeneous behaviors, competition up to proliferative and/or destructive actions, mutations, learning ability, evolution and many others.Applied mathematicians in the field of living systems, especially biological systems, will appreciate the special class of integro-differential equations offered here for modeling at the molecular, cellular and tissue scales. A unique perspective is also presented with a number of case studies in biological modeling.Table of ContentsThis monograph has the ambitious aim of developing a mathematical theory of complex biological systems with special attention to the phenomena of ageing, degeneration and repair of biological tissues under individual self-repair actions that may have good potential in medical therapy. The approach to mathematically modeling biological systems needs to tackle the additional difficulties generated by the peculiarities of living matter. These include the lack of invariance principles, abilities to express strategies for individual fitness, heterogeneous behaviors, competition up to proliferative and/or destructive actions, mutations, learning ability, evolution and many others. Applied mathematicians in the field of living systems, especially biological systems, will appreciate the special class of integro-differential equations offered here for modeling at the molecular, celular and tissue scales. A unique perspective is also presented with a number of case studies in biological modeling.
£76.95
World Scientific Publishing Co Pte Ltd Biomat 2010 - International Symposium On
Book SynopsisThis volume contains the selected contributed papers of the BIOMAT 2010 International Symposium which has been organized as a joint conference with the 2010 Annual Meeting of the Society for Mathematical Biology (www.smb.org) by invitation of the Director Board of this Society. The works presented at Tutorial and Plenary Sessions by expert keynote speakers have been also included.This book contains state-of-the-art articles on special research topics on mathematical biology, biological physics and mathematical modelling of biosystems; comprehensive reviews on interdisciplinary areas written by prominent leaders of scientific research groups. The treatment is both pedagogical and sufficiently advanced to enhance future scientific research.Table of ContentsUsing DNA Knots to Assay Viral Genome Packing (De W Sumners); Mathematical Programming Approach to the Modelling of Biological Macromolecular Structures (R P Mondaini & S P Vilela); Control of West Nile Virus by Insecticide in the Presence of an Avian Reservoir (E Baurin et al.); Mating Strategies and the Allee Effect: A Comparison of Mathematical Models (D I Wallace et al.); The Spatiotemporal Dynamics of African Cassava Mosaic Disease (Z Lawrence & D I Wallace); The Humoral Immune Response: Complexity and Theoretical Challenges (G Shahaf et al.); DNA Library Screening and Transversal Designs (J Guo et al.); Qualitative Analysis of Chemical Bioreactors Behavior (A M Diaz et al.); A Pedigree Analysis including Persons with Several Degrees of Separation and Qualitative Data (C E M Pearce et al.); Effects of Motility and Contact Inhibition on Tumour Viability: A Discrete Simulation Using the Cellular Potts Model (J Li & J Lowengrub); and other papers.
£125.10
World Scientific Publishing Co Pte Ltd Fractional Calculus: Models And Numerical Methods
Book SynopsisThe subject of fractional calculus and its applications (that is, convolution-type pseudo-differential operators including integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, mainly due to its applications in diverse fields of science and engineering. These operators have been used to model problems with anomalous dynamics, however, they also are an effective tool as filters and controllers, and they can be applied to write complicated functions in terms of fractional integrals or derivatives of elementary functions, and so on.This book will give readers the possibility of finding very important mathematical tools for working with fractional models and solving fractional differential equations, such as a generalization of Stirling numbers in the framework of fractional calculus and a set of efficient numerical methods. Moreover, we will introduce some applied topics, in particular fractional variational methods which are used in physics, engineering or economics. We will also discuss the relationship between semi-Markov continuous-time random walks and the space-time fractional diffusion equation, which generalizes the usual theory relating random walks to the diffusion equation. These methods can be applied in finance, to model tick-by-tick (log)-price fluctuations, in insurance theory, to study ruin, as well as in macroeconomics as prototypical growth models.All these topics are complementary to what is dealt with in existing books on fractional calculus and its applications. This book was written with a trade-off in mind between full mathematical rigor and the needs of readers coming from different applied areas of science and engineering. In particular, the numerical methods listed in the book are presented in a readily accessible way that immediately allows the readers to implement them on a computer in a programming language of their choice. Numerical code is also provided.Table of ContentsSurvey of Numerical Methods to Solve Ordinary and Partial Fractional Differential Equations; Specific and Efficient Methods to Solve Ordinary and Partial Fractional Differential Equations; Fractional Variational Principles; Continuous-Time Random Walks (CTRWs); Applications to Finance and Economics; Generalized Stirling Numbers of First and Second Kind in the Framework of Fractional Calculus.
£121.50
World Scientific Publishing Co Pte Ltd Linear Parameter-varying System Identification:
Book SynopsisThis review volume reports the state-of-the-art in Linear Parameter Varying (LPV) system identification. Written by world renowned researchers, the book contains twelve chapters, focusing on the most recent LPV identification methods for both discrete-time and continuous-time models, using different approaches such as optimization methods for input/output LPV models Identification, set membership methods, optimization methods and subspace methods for state-space LPV models identification and orthonormal basis functions methods. Since there is a strong connection between LPV systems, hybrid switching systems and piecewise affine models, identification of hybrid switching systems and piecewise affine systems will be considered as well.Table of ContentsAn Unified Framework for LPV, Switching and Affine Models Identification (B Bamieh et al.); Set-Membership Identification of LPV Models with Uncertain Time-Varying Parameters (V Cerone et al.); Set Membership Identification of State Space LPV Systems (C Novara); Identification of Discrete-Time and Continuous-Time Input/Output LPV Models (V Laurain et al.); Reducing the Dimensions of Data Matrices Involved in LPV Subspace Identification Methods (V Verdult & M Verhaegen); An Open Loop and Closed Loop LPV Subspace Identification Algorithm (J-W van Wingerden & M Verhaegen); Subspace Identification of Continuous-Time State-Space LPV Models (M Bergamasco & M Lovera); Identification of Continuous-Time LPV Systems Using the Subspace Successive Approximations Algorithm (P L dos Santos et al.); LPV Identification using Series-Expansion Models (R Toth et al.); Expectation Maximization and Gradient Methods for LPV State-Space Models Identification (A Wills et al.); Piecewise Affine Identification of Interconnected Systems with LFR Structure (S Paoletti & A Garulli); Identification and Model (In)validation of Switched Affine Systems (C Feng et al.).
£117.90
World Scientific Publishing Co Pte Ltd Advances In Wave Turbulence
Book SynopsisWave or weak turbulence is a branch of science concerned with the evolution of random wave fields of all kinds and on all scales, from waves in galaxies to capillary waves on water surface, from waves in nonlinear optics to quantum fluids. In spite of the enormous diversity of wave fields in nature, there is a common conceptual and mathematical core which allows to describe the processes of random wave interactions within the same conceptual paradigm, and in the same language. The development of this core and its links with the applications is the essence of wave turbulence science (WT) which is an established integral part of nonlinear science.The book comprising seven reviews aims at discussing new challenges in WT and perspectives of its development. A special emphasis is made upon the links between the theory and experiment. Each of the reviews is devoted to a particular field of application (there is no overlap), or a novel approach or idea. The reviews cover a variety of applications of WT, including water waves, optical fibers, WT experiments on a metal plate and observations of astrophysical WT.Table of ContentsWave Turbulence, A Story Far From Over (A C Newell & B Rumpf); Fluctuations of the Energy Flux in Wave Turbulence (S Aumaitre, E Falcon & S Fauve); Wave Turbulence in Astrophysics (S Galtier); Optical Wave Turbulence (S K Turitsyn, S A Babin, E G Turitsyna, G E Falkovich, E V Podivilov & D V Churkin); Wave Turbulence in a Thin Elastic Plates (G During and N Mordant); Gravity Wave Turbulence in a Large Flume (R Bedard, S Lukaschuk & S Nazarenko); Towards a New Picture of Wave Turbulence (V Shrira & S Annenkov).
£90.00
World Scientific Publishing Co Pte Ltd Descriptive And Normative Approaches To Human
Book SynopsisThe aim of the book is to present side-by-side representative and cutting-edge samples of work in mathematical psychology and the analytic philosophy with prominent use of mathematical formalisms.Table of ContentsThe Impossibility of a Satisfactory Population Ethics (Gustaf Arrhenius); Explaining Interference Effects Using Quantum Probability Theory (Jerome R Busemeyer and Jennifer S Trueblood); Defining Goodness and Badness in Terms of Betterness without Negation (Erik Carlson); Optimality in Multisensory Integration Dynamics: Normative and Descriptive Aspects (Hans Colonius and Adele Diederich); On the Reverse Problem of Fechnerian Scaling (Ehtibar Dzhafarov); Bayesian Adaptive Estimation: A Theoretical Review (Janne V Kujala); Probabilistic Lattices: Theory with an Application to Decision Theory (Louis Narens); Presumption of Equality as a Requirement of Fairness (Wlodek Rabinowicz); Ternary Paired Comparisons Induced by Semi- or Interval Order Preferences (Michel Regenwetter and Clintin P Davis-Stober); Knowledge Spaces Regarded as Set Representations of Skill Structures (Reinhard Suck); Experimental Discrimination of the World's Simplest and Most Antipodal Models: The Parallel-Serial Issue (James T Townsend, Haiyuan Yang, and Devin M Burns); Model Selection with Informative Normalized Maximum Likelihood: Data Prior and Model Prior (Jun Zhang).
£90.90
World Scientific Publishing Co Pte Ltd Solving The Riddle Of Phyllotaxis: Why The
Book SynopsisForeword by Stephen L Adler (Institute for Advanced Study, USA)Illustrations by Peggy Adler The term Phyllotaxis refers to the patterns on plants formed by the arrangement of repeated biological units. In nearly all cases, the Fibonacci Numbers and the Golden Ratio occur in these arrangements. This topic has long fascinated scientists. Over a period of more than two decades, Irving Adler wrote a number of papers that construct a rigorously derived mathematical model for Phyllotaxis, which are major and enduring contributions to the field. These papers are collected in this reprint volume to enable their access to a wider readership.Table of ContentsIntroduction; A Model of Contact Pressure in Phyllotaxis; A Model of Space Filling in Phyllotaxis; The Consequences of Contact Pressure in Phyllotaxis; An Application of the Contact Model of Phyllotaxis to the Close Packing of Spheres around a Cylinder in Biological Fine Structure; The Role of Continued Fractions in Phyllotaxis; The Role of Mathematics in Phyllotaxis; Generating Phyllotaxis Patterns on a Cylindrical Point Lattice; A Yardstick for Measuring the Adequacy of a Model of Phyllotaxis.
£76.95
World Scientific Publishing Co Pte Ltd Geometry Of Crystallographic Groups
Book SynopsisCrystallographic groups are groups which act in a nice way and via isometries on some n-dimensional Euclidean space. They got their name, because in three dimensions they occur as the symmetry groups of a crystal (which we imagine to extend to infinity in all directions). The book is divided into two parts. In the first part, the basic theory of crystallographic groups is developed from the very beginning, while in the second part, more advanced and more recent topics are discussed. So the first part of the book should be usable as a textbook, while the second part is more interesting to researchers in the field. There are short introductions to the theme before every chapter. At the end of this book is a list of conjectures and open problems. Moreover there are three appendices. The last one gives an example of the torsion free crystallographic group with a trivial center and a trivial outer automorphism group.This volume omits topics about generalization of crystallographic groups to nilpotent or solvable world and classical crystallography. We want to emphasize that most theorems and facts presented in the second part are from the last two decades. This is after the book of L Charlap “Bieberbach groups and flat manifolds” was published.
£69.35
World Scientific Publishing Co Pte Ltd Splines And Compartment Models: An Introduction
Book SynopsisThis book presents methods of mathematical modeling from two points of view. Splines provide a general approach while compartment models serve as examples for context related to modeling. The preconditions and characteristics of the developed mathematical models as well as the conditions surrounding data collection and model fit are taken into account. The substantial statements of this book are mathematically proven. The results are ready for application with examples and related program codes given.In this book, splines are algebraically developed such that the reader or user can easily understand and vary the numerical construction of the different kinds of spline functions. The classical compartment models of the pharmacokinetics are systematically analyzed and connected with lifetime distributions. As such, parameter estimation and model fit can be treated statistically with a varied minimum chi-square method. This method is applicable for single kinetics and also allows the calculation of average kinetics.Table of ContentsInterpolating Splines of Degree n; Interpolating Cubic Splines; Interpolating Cubic Splines with Several Extreme Characteristics; Smoothing Cubic Splines; Estimation of Smoothing Parameters; Interpolating Quadratic Splines; Smoothing Quadratic Splines; Splines and Average Functions; Compartment Models; Calculability and Identifiability; Compartment Models and Associated Residence Time Distributions; Calculation Methods Related to Compartment Models; Varied Minimum Chi-square Parameter Estimation; Pharmacokinetics for Multiple Applications; Mathematica(R) Programs for Selected Problems.
£99.00
World Scientific Publishing Co Pte Ltd Mathematical Modelling: From Theory To Practice
Book SynopsisThis book documents the journey undertaken by educators from the Mathematics and Mathematics Education (MME) Academic Group in the National Institute of Education (NIE) and Singapore schools during a Mathematical Modelling Outreach (MMO) event in June 2010 under the guidance of renowned experts in the field of mathematical modelling. The main goal of MMO was to reach out to Singapore primary and secondary schools and introduce the potentials of mathematical modelling as a platform for eliciting mathematical thinking, communication, and reasoning among students. This book contributes to the expanding literature on mathematical modelling by offering voices from the Singaporean context. It suggests how theoretical perspectives on mathematical modelling can be transformed into actual practice in schools, all within the existing infrastructure of the current Singapore mathematics curriculum. More importantly, the book provides documentary evidence on how plans put in place through MMO in 2010 have since been realised.The publication of this book is hence timely at this juncture. Not only does the book record how MMO was among the first pebbles launched into the pond, it also serves as a bridge over which educators can stand upon to view how the ripple effect had developed from the initial MMO pebble and the directions it may continue to extend. Perhaps in the process, other ripples in the teaching, learning, and research of mathematical modelling can be created.Table of ContentsIntroduction; Setting the Stage for Mathematical Modelling in Schools: Promotion of Mathematical Modelling Competencies in the Context of Modelling Projects; Problem Finding and Problem Posing for Mathematical Modelling; Mathematical Modelling in Singapore Schools: A Framework for Instruction; Mathematical Modelling in Australia; Mathematical Modelling in Japan; Fostering Mathematical Modelling in Schools: Learning through Modelling in the Primary Years; Fostering Mathematical Modelling in the Secondary Schools; Fostering Mathematical Competencies: Initial Perspectives from Singapore; Mathematical Modelling - An Example from an Inter-School Modelling Challenge; Mathematical Learning through Modelling Tasks: Learning through 'Designing a Cafe'; Learning through 'Plane Punctuality'; Learning through 'Mobile Phone Plan'; Learning through 'The Best Paper Plane'; Learning through 'Designing a Tent'; Learning through 'Dream Home'; Learning through 'The Unsinkable Titanic'; Implications and Future Directions: Bringing the Ideas Forward.
£83.60
World Scientific Publishing Co Pte Ltd Dynamics Of Cancer: Mathematical Foundations Of
Book SynopsisThe book aims to provide an introduction to mathematical models that describe the dynamics of tumor growth and the evolution of tumor cells. It can be used as a textbook for advanced undergraduate or graduate courses, and also serves as a reference book for researchers. The book has a strong evolutionary component and reflects the viewpoint that cancer can be understood rationally through a combination of mathematical and biological tools. It can be used both by mathematicians and biologists. Mathematically, the book starts with relatively simple ordinary differential equation models, and subsequently explores more complex stochastic and spatial models. Biologically, the book starts with explorations of the basic dynamics of tumor growth, including competitive interactions among cells, and subsequently moves on to the evolutionary dynamics of cancer cells, including scenarios of cancer initiation, progression, and treatment. The book finishes with a discussion of advanced topics, which describe how some of the mathematical concepts can be used to gain insights into a variety of questions, such as epigenetics, telomeres, gene therapy, and social interactions of cancer cells.Table of ContentsTeaching Guide; Cancer and Somatic Evolution; Mathematical Modeling of Tumorigenesis; Basic Growth Dynamics and Deterministic Models: Single Species Growth; Two Species Competition Dynamics; Competition Between Genetically Stable and Unstable Cells; Chromosomal Instability and Tumor Growth; Angiogenesis Inhibitors, Promoters, and Spatial Growth; Evolutionary Dynamics and Stochastic Models: Evolutionary Dynamics of Tumor Initiation Through Oncogenes: The Gain-of-Function Model; Evolutionary Dynamics of Tumor Initiation Through Tumor-Suppressor Genes: The Loss-of-Function Model and Stochastic Tunneling; Microsatellite and Chromosomal Instability in Sporadic and Familial Cancers; Evolutionary Dynamics in Hierarchical Populations; Spatial Evolutionary Dynamics of Tumor Initiation; Complex Tumor Dynamics in Space; Stochastic Modeling of Cellular Growth, Treatment, and Resistance Generation; Evolutionary Dynamics of Drug Resistance in Chronic Myeloid Leukemia; Advanced Topics: Evolutionary Dynamics of Stem-Cell Driven Tumor Growth; Tumor Growth Kinetics and Disease Progression; Epigenetic Changes and The Rate of DNA Methylation; Telomeres and Cancer Protection; Gene Therapy and Oncolytic Virus Therapy; Immune Responses, Tumors Growth, and Therapies; Towards Higher Complexities: Social Interactions.
£153.00
World Scientific Publishing Co Pte Ltd Methods And Applications Of White Noise Analysis
Book SynopsisAnalysis, modeling, and simulation for better understanding of diverse complex natural and social phenomena often require powerful tools and analytical methods. Tractable approaches, however, can be developed with mathematics beyond the common toolbox. This book presents the white noise stochastic calculus, originated by T Hida, as a novel and powerful tool in investigating physical and social systems. The calculus, when combined with Feynman's summation-over-all-histories, has opened new avenues for resolving cross-disciplinary problems. Applications to real-world complex phenomena are further enhanced by parametrizing non-Markovian evolution of a system with various types of memory functions. This book presents general methods and applications to problems encountered in complex systems, scaling in industry, neuroscience, polymer physics, biophysics, time series analysis, relativistic and nonrelativistic quantum systems.Table of ContentsWhite Noise Analysis: Basic Notion and Terminology; Fluctuations with and without Memory; Fractional Brownian Motion; Complex Systems; Scaling in Industry; Modeling Single Neuron Activities and Interneuronal Connections; Biopolymer Conformation; Hurst Exponent in Time Series Analysis; Quantum Mechanics with Topological Constraints and Boundaries; Relativistic Quantum Mechanics.
£75.05
World Scientific Publishing Co Pte Ltd Elements Of Stochastic Modelling (2nd Edition)
Book SynopsisThis is the expanded second edition of a successful textbook that provides a broad introduction to important areas of stochastic modelling. The original text was developed from lecture notes for a one-semester course for third-year science and actuarial students at the University of Melbourne. It reviewed the basics of probability theory and then covered the following topics: Markov chains, Markov decision processes, jump Markov processes, elements of queueing theory, basic renewal theory, elements of time series and simulation.The present edition adds new chapters on elements of stochastic calculus and introductory mathematical finance that logically complement the topics chosen for the first edition. This makes the book suitable for a larger variety of university courses presenting the fundamentals of modern stochastic modelling. Instead of rigorous proofs we often give only sketches of the arguments, with indications as to why a particular result holds and also how it is related to other results, and illustrate them by examples. Wherever possible, the book includes references to more specialised texts on respective topics that contain both proofs and more advanced material.Table of ContentsBasics of Probability Theory; Markov Chains; Markov Decision Processes; The Exponential Distribution and Poisson Process; Jump Markov Processes; Elements of Queueing Theory; Elements of Renewal Theory; Elements of Time Series; Elements of Stochastic Calculus; Elements of Mathematical Finance; Elements of Simulation.
£85.50
World Scientific Publishing Co Pte Ltd Elements Of Stochastic Modelling (2nd Edition)
Book SynopsisThis is the expanded second edition of a successful textbook that provides a broad introduction to important areas of stochastic modelling. The original text was developed from lecture notes for a one-semester course for third-year science and actuarial students at the University of Melbourne. It reviewed the basics of probability theory and then covered the following topics: Markov chains, Markov decision processes, jump Markov processes, elements of queueing theory, basic renewal theory, elements of time series and simulation.The present edition adds new chapters on elements of stochastic calculus and introductory mathematical finance that logically complement the topics chosen for the first edition. This makes the book suitable for a larger variety of university courses presenting the fundamentals of modern stochastic modelling. Instead of rigorous proofs we often give only sketches of the arguments, with indications as to why a particular result holds and also how it is related to other results, and illustrate them by examples. Wherever possible, the book includes references to more specialised texts on respective topics that contain both proofs and more advanced material.Table of ContentsBasics of Probability Theory; Markov Chains; Markov Decision Processes; The Exponential Distribution and Poisson Process; Jump Markov Processes; Elements of Queueing Theory; Elements of Renewal Theory; Elements of Time Series; Elements of Stochastic Calculus; Elements of Mathematical Finance; Elements of Simulation.
£45.60
World Scientific Publishing Co Pte Ltd Particle Methods For Multi-scale And
Book SynopsisMulti-scale and multi-physics modeling is useful and important for all areas in engineering and sciences. Particle Methods for Multi-Scale and Multi-Physics systematically addresses some major particle methods for modeling multi-scale and multi-physical problems in engineering and sciences. It contains different particle methods from atomistic scales to continuum scales, with emphasis on molecular dynamics (MD), dissipative particle dynamics (DPD) and smoothed particle hydrodynamics (SPH).This book covers the theoretical background, numerical techniques and many interesting applications of the particle methods discussed in this text, especially in: micro-fluidics and bio-fluidics (e.g., micro drop dynamics, movement and suspension of macro-molecules, cell deformation and migration); environmental and geophysical flows (e.g., saturated and unsaturated flows in porous media and fractures); and free surface flows with possible interacting solid objects (e.g., wave impact, liquid sloshing, water entry and exit, oil spill and boom movement). The presented methodologies, techniques and example applications will benefit students, researchers and professionals in computational engineering and sciences.Table of ContentsIntroduction; Particle Methods with Background Mesh; Molecular Dynamics; Dissipative Particle Dynamics; Smoothed Particle Hydrodynamics; Special Topics of Particle Methods; Multiple Scale Simulation Using Particle Methods; Computer Implementation Issues of Particle Methods.
£120.60
World Scientific Publishing Co Pte Ltd Biomat 2013 - International Symposium On
Book SynopsisThis is a book of a series on interdisciplinary topics on the Biological and Mathematical Sciences. The chapters correspond to selected papers on special research themes, which have been presented at BIOMAT 2013 International Symposium on Mathematical and Computational Biology which was held in the Fields Institute for Research in Mathematical Sciences, Toronto, Ontario, Canada, on November 04 - 08, 2013. The treatment is both pedagogical and advanced in order to motivate research students as well as to fulfill the requirements of professional practitioners. There are comprehensive reviews written by prominent scientific leaders of famous research groups.
£122.40
World Scientific Publishing Co Pte Ltd Elementary Introduction To Queueing Systems, An
Book SynopsisThe book aims to highlight the fundamental concepts of queueing systems. It starts with the mathematical modeling of the arrival process (input) of customers to the system. It is shown that the arrival process can be described mathematically either by the number of arrival customers in a fixed time interval, or by the interarrival time between two consecutive arrivals. In the analysis of queueing systems, the book emphasizes the importance of exponential service time of customers. With this assumption of exponential service time, the analysis can be simplified by using the birth and death process as a model. Many queueing systems can then be analyzed by choosing the proper arrival rate and service rate. This facilitates the analysis of many queueing systems.Drawing on the author's 30 years of experience in teaching and research, the book uses a simple yet effective model of thinking to illustrate the fundamental principles and rationale behind complex mathematical concepts. Explanations of key concepts are provided, while avoiding unnecessary details or extensive mathematical formulas. As a result, the text is easy to read and understand for students wishing to master the core principles of queueing theory.Table of ContentsModeling of Queueing Systems; Queueing Systems with Losses; Queueing Systems Allowing Waiting; The Engset Loss and Delay Systems; Queueing Systems with a Single Server;
£53.20
World Scientific Publishing Co Pte Ltd Information Approach To Mitochondrial
Book SynopsisThe monograph applies sophisticated topological symmetry tools to biological applications of information theory, along with a Black-Scholes model invocation of the Data Rate Theorem which links information and control theories. The focus is on statistical mechanics and other models that explore pathological phase transitions — driven by changes in available rates of mitochondrial free energy — in physiological functions, a cutting-edge topic in the study of chronic disease. One of the key focuses is Alzheimer's disease — a relatively simple canonical example.Table of ContentsMathematical Preliminaries; A Symmetry-Breaking Model; A Data Rate Theorem Model; A Mutual Information Model; A Fragment Size Model; Extending the Perspective; Embodiment and Environment; Chronic Inflammation; What is to be Done?; Mathematical Appendix;
£55.10
World Scientific Publishing Co Pte Ltd Biomat 2014 - International Symposium On
Book SynopsisThis is a book of a series on interdisciplinary topics on the Mathematical and Biological Sciences. The chapters correspond to selected papers on special research themes, which have been presented at BIOMAT 2014 International Symposium on Mathematical and Computational Biology which was held in the Stefan Banach International Mathematical Centre at Bedlewo near Poznan, Poland on November 03 - 07, 2014. The treatment is both pedagogical yet advanced in order to motivate research students as well as to fulfill the requirements of professional practitioners. As in the other volumes of this series, there are new important results on the interdisciplinary fields of mathematical and biological sciences and comprehensive reviews written by prominent scientific leaders of famous research groups.Table of ContentsPopulation Dynamics: Modelling Sustainable Development for Decision Making (D Angulo, G Olivar and F Angulo); Wild Herbivores in Forests: Four Case Studies (Giorgio Sabetta and Ezio Venturino); Effect of Viral Disease in a Diffusive Plankton System (Nanda Das and Samares Pal); Pattern Recognition of Biological Phenomena: Exploration of Different Wave Patterns in a Model of the Bovine Estrous Cycle by Fourier Analysis (C Stotzel, R Ehrig, H M T Boer, J Plontzke and S Roblitz); A Spectral Similarity Measure between Time Series Applied to Identify Protein-Protein Interactions (G E Salcedo, A M Montoya and A F Arenas); Mathematical Modelling of Infectious Diseases: An Agent-based Modelling Framework to Study the Burden of Pertussis and the Impact of Preventive Measures (J-E Poirrier, C Philemotte and D Curran); Zoonotic Visceral Leishmaniasis: A Novel Model involving Dynamic Interactions of Humans, Dogs and Sandflies (H J Shimozako, Jianhong Wu and E Massad); Mathematical Models for Vaccination, Waning Immunity and Immune System Boosting: A General Framework (M V Barbarossa and G Rost); What is the Optimal Level of Information Dissemination during an Epidemic? (Marek Laskowski, Preeti Dubey, Murray E Alexander, Shannon Collinson, Jane M Heffernan and Seyed M Moghadas); Rich Dynamics of Hepatitis C Viral Infection with Logistic Proliferation (Sandip Banerjee); Computational Biology: In Silico Manipulation of Single DNA Molecules (P Cortini, M Barbi and P Carrivain); Very High Synchrony in Evolution of Organelles and Host Genomes (A I Chernyshova, Yu A Putintzeva and M G Sadovsky); A Method for Clustering Hemagglutinin Influenza Protein Sequences (X Li, H Jankowski, X Wang and Jane M Heffernan); Comparison of the Robustness of Entropy Measures for Protein Domain Families (R P Mondaini, Cecilia Mondaini and Edgar A G G do Amaral); Dynamic and Geometric Modelling of Biomolecular Structures: Dynamics of Z-Ring Formation in Liposomes (R A Barrio, C Varea, T Alarcon, C B Picallo and A Hernandez-Machado); Optimal Control of Protein Langevin Dynamics (R P Mondaini and S C de Albuquerque Neto); Time Asymmetry of Cross-correlation Functions as a Signature of Non-equilibrium Steady States (A Lemarchand and C Bianca); Modelling Physiological Disorders: Entropy of Protein Networks in Malignant Cells of Breast Cancer and Therapeutic Treatment (Jack A Tuszynski, N Carels and T M Tilli); Molecular Dynamics and Computational Drug Discovery: Molecular Dynamics and related Computational Methods with Applications to Drug Discovery (Jack A Tuszynski, T Luchko, P Vinter, Cassandra Churchill, K Sahu, F Gentile, Sara I Omar, N Nayebi, G Hu, K Wang and J Ruan); Multi-scale Models in Biological Sciences: On a Multi-scale Analysis of a Micro-model of Heat Transfer in Biological Tissues (Abdelhamid Ainouz); Multi-scale Modelling in Cell Dynamics (M Banerjee, M Benmir and V Volpert); Mathematical Morphology of Biological Structures: Topology of Cell Membranes (E I Kats and M I Monastyrsky); Geometry of Morphogenesis (N Morozova and R Penner); Comparing Shape Trajectories of Biological Soft Tissues in the Size-and-shape Space (V Varano, S Gabriele, L Teresi, I Dryden, P E Puddu, C Torromeo and P Piras);
£133.20
World Scientific Publishing Co Pte Ltd Exploring Mathematics With Integrated
Book SynopsisThe goal of the book is to technologically enhance the preparation of mathematics schoolteachers using an electronic spreadsheet integrated with Maple and Wolfram Alpha — digital tools capable of sophisticated symbolic computations. The content of the book is a combination of mathematical ideas and concepts associated with pre-college problem solving curriculum and their extensions into more advanced mathematical topics.The book provides prospective and practicing teachers with a foundation for developing a deep understanding of many concepts fundamental to the teaching of school mathematics. It also provides the teachers with a technical expertise in designing spreadsheet-based computational environments.Consistent with the current worldwide guidelines for technology-enhanced teacher preparation, the book emphasizes the integration of context, mathematics, and technology as a method for teaching mathematics. Throughout the book, a number of mathematics education documents developed around the world (Australia, Canada, England, Japan, Singapore, United States) are reviewed as appropriate.Table of ContentsBasic Spreadsheet Functions and Techniques; Explorations with Addition and Multiplication Tables; Spreadsheet as a 3-D Modeling Tool; Prime Numbers; Mathematical Concepts as Tools in Spreadsheet Modeling; Pythagorean Triples; Recreational Mathematics; Historical Connection and Geometric Modeling; Computational Problem Solving in Context; Advanced Explorations with Fibonacci Numbers; Ideas for Individual Projects Using Integrated Spreadsheets;
£76.95
World Scientific Publishing Co Pte Ltd Exploring Mathematics With Integrated
Book SynopsisThe goal of the book is to technologically enhance the preparation of mathematics schoolteachers using an electronic spreadsheet integrated with Maple and Wolfram Alpha — digital tools capable of sophisticated symbolic computations. The content of the book is a combination of mathematical ideas and concepts associated with pre-college problem solving curriculum and their extensions into more advanced mathematical topics.The book provides prospective and practicing teachers with a foundation for developing a deep understanding of many concepts fundamental to the teaching of school mathematics. It also provides the teachers with a technical expertise in designing spreadsheet-based computational environments.Consistent with the current worldwide guidelines for technology-enhanced teacher preparation, the book emphasizes the integration of context, mathematics, and technology as a method for teaching mathematics. Throughout the book, a number of mathematics education documents developed around the world (Australia, Canada, England, Japan, Singapore, United States) are reviewed as appropriate.Table of ContentsBasic Spreadsheet Functions and Techniques; Explorations with Addition and Multiplication Tables; Spreadsheet as a 3-D Modeling Tool; Prime Numbers; Mathematical Concepts as Tools in Spreadsheet Modeling; Pythagorean Triples; Recreational Mathematics; Historical Connection and Geometric Modeling; Computational Problem Solving in Context; Advanced Explorations with Fibonacci Numbers; Ideas for Individual Projects Using Integrated Spreadsheets;
£38.00
World Scientific Publishing Co Pte Ltd Modeling Love Dynamics
Book SynopsisThis book shows, for the very first time, how love stories — a vital issue in our lives — can be tentatively described with classical mathematics. Focus is on the derivation and analysis of reliable models that allow one to formally describe the expected evolution of love affairs from the initial state of indifference to the final romantic regime. The models are in full agreement with the basic philosophical principles of love psychology. Eight chapters are theoretically oriented and discuss the romantic relationships between important classes of individuals identified by particular psychological traits. The remaining chapters are devoted to case studies described in classical poems or in worldwide famous films.Table of ContentsCan We Model Love Stories?; Linear Models and Their Properties; Couples of Secure and Unbiased Individuals; Temporary Bluffing: The Case of Roxane and Cyrano; The Discovery of Hidden Components of the Appeal; Catastrophes in Love Stories: The Case of Beauty and the Beast and of Elizabeth and Darcy; Couples of Insecure and Unbiased Individuals: The Case of Scarlett and Rhett; Romantic Cycles: The Case of Kathe and Jules; The Case of Kathe and Jim; Environmental Stress and Romantic Chaos; Extra Emotional Compartments: The Case of Laura and Francesco; Triangular Love Stories and Unpredictability: The Case of Kathe, Jules, and Jim;
£85.50
Springer Nature Switzerland AG Computational Mathematics and Modelling for
Book SynopsisThis book is a theoretical and pragmatic tool that applies mathematical modelling in understanding and managing diabetes and related complications such as diabetes predisposition, diabetes onset, regular glycaemic monitoring, glycated haemoglobin HbA1c, diabetes homeostasis, gestational diabetes and other associated diseases and conditions.
£116.99
Springer Nature Switzerland AG Thermal Spray Coatings
Book Synopsis
£107.99
