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1.

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EB
by Sebastian Aniţa, Viorel Arnăutu, Vincenzo Capasso
出版情報: Boston, MA : Springer Science+Business Media, LLC, 2011
シリーズ名: Modeling and Simulation in Science, Engineering and Technology ; 0
オンライン: http://dx.doi.org/10.1007/978-0-8176-8098-5
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edited by Mimmo Iannelli
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: C.I.M.E. Summer Schools ; 80
オンライン: http://dx.doi.org/10.1007/978-3-642-11069-6
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3.

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edited by Fabio A. C. C. Chalub, José Francisco Rodrigues
出版情報: Basel : Springer Basel AG, 2011
シリーズ名: Mathematics and Biosciences in Interaction ;
オンライン: http://dx.doi.org/10.1007/978-3-0348-0122-5
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4.

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by Mukhtar Ullah, Olaf Wolkenhauer
出版情報: New York, NY : Springer Science+Business Media, LLC, 2011
オンライン: http://dx.doi.org/10.1007/978-1-4614-0478-1
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5.

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by Robert Rosen
出版情報: Boston, MA : Springer US, 2012
シリーズ名: IFSR International Series on Systems Science and Engineering ; 1
オンライン: http://dx.doi.org/10.1007/978-1-4614-1269-4
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6.

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by Weijiu Liu
出版情報: Milano : Springer Milan, 2012
シリーズ名: MS&A ;
オンライン: http://dx.doi.org/10.1007/978-88-470-2490-8
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7.

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by Fred Brauer, Carlos Castillo-Chavez
出版情報: New York, NY : Springer Science+Business Media, LLC, 2012
シリーズ名: Texts in Applied Mathematics ; 40
オンライン: http://dx.doi.org/10.1007/978-1-4614-1686-9
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8.

電子ブック

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by Vincenzo Capasso, David Bakstein
出版情報: Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2012
シリーズ名: Modeling and Simulation in Science, Engineering and Technology ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-8346-7
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Part I. The Theory of Stochastic Processes
Fundamentals of Probability
Stochastic Processes
The Itô Integral
Stochastic Differential Equations
Part II. The Applications of Stochastic Processes
Applications to Finance and Insurance
Applications to Biology and Medicine
Part III. Appendices
Measure and Integration
Convergence of Probability Measures on Metric Spaces
Elliptic and Parabolic Operators
D Semigroups and Linear Operators.- E Stability of Ordinary Differential Equations
References
Part I. The Theory of Stochastic Processes
Fundamentals of Probability
Stochastic Processes
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edited by Stephen Childress, Anette Hosoi, William W. Schultz, Jane Wang
出版情報: New York, NY : Springer New York : Imprint: Springer, 2012
シリーズ名: The IMA Volumes in Mathematics and its Applications ; 155
オンライン: http://dx.doi.org/10.1007/978-1-4614-3997-4
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by Günther Palm
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012
オンライン: http://dx.doi.org/10.1007/978-3-642-29075-6
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Part I Surprise and Information of Descriptions: Prerequisites
Improbability and Novelty of Descriptions
Conditional Novelty and Information
Part II Coding and Information Transmission: On Guessing and Coding
Information Transmission
Part III Information Rate and Channel Capacity: Stationary Processes and Information Rate
Channel Capacity
Shannon's Theorem
Part IV Repertoires and Covers: Repertoires and Descriptions
Novelty, Information and Surprise of Repertoires
Conditioning, Mutual Information and Information Gain
Part V Information, Novelty and Surprise in Science: Information, Novelty and Surprise in Brain Theory
Surprise from Repetitions and Combination of Surprises
Entropy in Physics
 Part VI Generalized Information Theory: Order- and Lattice-Structures
 Three Orderings on Repertoires
Information Theory on Lattices of Covers
 Appendices:  A. Fuzzy Repertoires and Descriptions
A.1 Basic Definitions
 A.2 Definition and Properties of Fuzzy Repertoires
Glossary
Bibliography
Index
Part I Surprise and Information of Descriptions: Prerequisites
Improbability and Novelty of Descriptions
Conditional Novelty and Information
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edited by Travis D. Andrews, Radu Balan, John J. Benedetto, Wojciech Czaja, Kasso A. Okoudjou
出版情報: Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2013
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-8376-4
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Part 1 Sampling Theory
Unions of Subspaces for Data Modeling and Subspace Clustering
Fusion frames and Unbiased Basic Sequences
Sampling in Spaces of Bandlimited Functions on Commutative Spaces
Smooth Interpolation of Data by Efficient Algorithms
An Overview of Time and Multiband Limiting
A Panorama of Sampling Theory
Part II Remote Sensing
Multistatic Radar Waveforms for Imaging of Moving Targets
Exploitation Performance and Characterization of a Prototype Compressive Sensing Imaging Spectrometer
An Introduction to Hyperspectral Image Data Modeling
Hyperspectral Demixing: Sparse Recovery of Highly Correlated Endmembers
Theory of Passive Synthetic Aperture Imaging
Part III Mathematics of Data Processing
Golay-Rudin-Shapiro Polynomials and Phased Arrays
Multi-Resolution Geometric Analysis for Data in High Dimensions
On the Fourth-Order Structure Function of a Fractal
Harmonic Analysis of Databases and Matrices
The Structure of Sidelobe-Preserving Operator Groups
Zeros of some Self-Reciprocal Polynomials
Part IV Applications of Data Processing
Generalized Mutual Interdependence Analysis of Noisy Channels
Approximation Methods for the Recovery of Shapes and Images from Gradients
FM Perturbations due to Near-Identity Linear Systems
Eddy Current Sensor Signal Processing for Stall Detection
State Dependent Channels: Strong Converse and Bounds on Reliability Function
Part 1 Sampling Theory
Unions of Subspaces for Data Modeling and Subspace Clustering
Fusion frames and Unbiased Basic Sequences
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edited by Travis D. Andrews, Radu Balan, John J. Benedetto, Wojciech Czaja, Kasso A. Okoudjou
出版情報: Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2013
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-8379-5
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Part V Measure Theory
Absolute Continuity and Singularity of Measures Without Measure Theory
Visible and Invisible Cantor Sets
Convolution Inequalities for Positive Borel Measures on R^d and Beurling Density
Positive Operator-Valued Measures: A General Setting for Frames
Part VI Filtering
Extending Wavelet Filters, Infinite Dimensions, the Non-Rational Case, and Indefinite-Inner Product Spaces
On the Group-Theoretic Structure of Lifted Filter Banks
Parametric Optimization of Biorthogonal Wavelets and Filterbanks via Pseudoframes for Subspaces
On the Convergence of Iterative Filtering Empirical Mode Decomposition
Wavelet Transforms by Nearest Neighbor Lifting
Part VII Operator Theory
On the Heat Kernel of a Left Invariant Elliptic Operator
Mixed-Norm Estimates for the k-Plane Transform
Representation of Linear Operators by Gabor Multipliers
Extensions of Berezin-Lieb Inequalities
Bilinear Calderon-Zygmund Operators
Weighted Inequalities and Dyadic Harmonic Analysis
Part VIII Biomathematics
Enhancement and Recovery in Atomic Force Micosopy Images
Numerical Harmonic Analysis and Diffusions on the 3D-Motion Group
Quantification of Retinal Chromophores Through Autofluorescence Imaging to Identify Precursors of Age-Related Macular
Simple Harmonic Oscillator Based Reconstruction and Estimation for One-Dimensional q-Space Magnetic Resonance (1D-SHORE)
Fourier Blues: Structural Coloration of Biological Tissues
A Harmonic Analysis View On Neuroscience Imaging
Part V Measure Theory
Absolute Continuity and Singularity of Measures Without Measure Theory
Visible and Invisible Cantor Sets
13.

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edited by Urszula Ledzewicz, Heinz Schättler, Avner Friedman, Eugene Kashdan
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Lecture Notes on Mathematical Modelling in the Life Sciences ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-4178-6
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Spatial aspects of HIV infection
Basic Principles in Modeling Adaptive Regulation and Immunodominance
Evolutionary Principles In Viral Epitopes
A Multiscale Approach Leading to Hybrid Mathematical Models for Angiogenesis: the Role of Randomness
Modeling Tumor Blood Vessel Dynamics
Influence of Blood Rheology and Outflow Boundary Conditions in Numerical Simulations of Cerebral Aneurysms
The Steady State of Multicellular Tumour Spheroids: a Modelling Challenge
Deciphering Fate Decision in Normal and Cancer Stem Cells – Mathematical Models and Their Experimental Verification
Data Assimilation in Brain Tumor Models
Optimisation of Cancer Drug Treatments Using Cell Population Dynamics
Tumor Development under Combination Treatments with Antiangiogenic Therapies
Saturable Fractal Pharmacokinetics and Its Applications
A MathematicalModel of Gene Therapy for the Treatment of Cancer
Epidemiological Models with Seasonality
Periodic Incidence in a Discrete-Time SIS Epidemic Model
Spatial aspects of HIV infection
Basic Principles in Modeling Adaptive Regulation and Immunodominance
Evolutionary Principles In Viral Epitopes
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edited by Roderick Melnik, Ilias S. Kotsireas
出版情報: Boston, MA : Springer US : Imprint: Springer, 2013
シリーズ名: Fields Institute Communications ; 66
オンライン: http://dx.doi.org/10.1007/978-1-4614-5389-5
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edited by Piero Manfredi, Alberto D'Onofrio
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
オンライン: http://dx.doi.org/10.1007/978-1-4614-5474-8
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by A. H. Louie
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: IFSR International Series on Systems Science and Engineering ; 29
オンライン: http://dx.doi.org/10.1007/978-1-4614-6928-5
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Mapping Origins
From Points to Sets
Principles of Set-Valued Mappings
Censusing Independence
Set-Valued Mappings Redux
The Logic of Entailment
The Imminence Mapping
Imminence of Life
Imminence in Models
Connections
Symbiosis
Pathophysiology
Relational Virology
Therapeutics
Mapping Origins
From Points to Sets
Principles of Set-Valued Mappings
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by Messoud Efendiev
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2013
シリーズ名: International Series of Numerical Mathematics ; 163
オンライン: http://dx.doi.org/10.1007/978-3-0348-0615-2
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Preface
1 Auxiliary Materials
2 Global attractors for autonomous evolution equations
3 Verifying life science models containing diffusion, transport and interaction of species
4 Positivity criterion for systems of stochastic PDEs
Existence and longtime behaviour of a biofilm model
6 The blood coagulation cascade in a perfusion experiment: example from pharmaceutical industry
Index
Preface
1 Auxiliary Materials
2 Global attractors for autonomous evolution equations
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edited by Frédéric Cazals, Pierre Kornprobst
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
オンライン: http://dx.doi.org/10.1007/978-3-642-31208-3
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Foreword by Olivier Faugeras
Foreword by Joël Janin
Preface
Part I Bioinformatics
1.Modeling Macro-molecular Complexes: a Journey Across Scales. F.Cazals, T.Dreyfus, and C.H. Robert
1.1.Introduction
1.2.Modeling Atomic Resolution
1.3.Modeling Large Assemblies
1.4.Outlook
1.5.Online Resources
References
2.Modeling and Analysis of Gene Regulatory Networks. G.Bernot, J-P.Comet, A.Richard, M.Chaves, J-L.Gouzé, and F.Dayan
2.1.Introduction
2.2.Continuous and Hybrid Models of Genetic Regulatory Networks
2.3.Discrete Models of GRN
2.4.Outlook
2.5.Online Resources
2.6.Acknowledgments
Part II Biomedical Signal and Image Analysis
3.Noninvasive Cardiac Signal Analysis Using Data Decomposition Techniques. V.Zarzoso, O.Meste, P.Comon, D.G.Latcu, and N.Saoudi
3.1.Preliminaries and Motivation
3.2.T-Wave Alternans Detection via Principal Component Analysis
3.3.Atrial Activity Extraction via Independent Component Analysis
3.4.Conclusion and Outlook
3.5.Online Resources
4.Deconvolution and Denoising for Confocal Microscopy. P.Pankajakshan, G.Engler, L.Blanc-Féraud, and J.Zerubia
4.1.Introduction
4.2.Development of the Auxiliary Computational Lens
4.3.Outlook
4.4.Selected Online Resources
5.Statistical Shape Analysis of Surfaces in Medical Images Applied to the Tetralogy of Fallot Heart. K.McLeod, T.Mansi, M.Sermesant, G.Pongiglione, and X.Pennec
5.1.Introduction
5.2.Statistical Shape Analysis
5.3.Shape Analysis of ToF Data
5.4.Conclusion
5.5.Online Resources
6.From Diffusion MRI to Brain Connectomics. A.Ghosh and R.Deriche
6.1.Introduction
6.2.A Brief History of NMR and MRI
6.3.Nuclear Magnetic Resonance and Diffusion
6.4.From Diffusion MRI to Tissue Microstructure
6.5.Computational Framework for Processing Diffusion MR Images
6.6.Tractography: Inferring the Connectivity
6.7.Clinical Applications 6.8.Conclusion
6.9.Online Resources
Part III Modeling in neuroscience
7.Single-Trial Analysis of Bioelectromagnetic Signals: The Quest for Hidden Information. M.Clerc, T.Papadopoulo, and C.Bénar
7.1.Introduction
7.2.Data-driven Approaches: Non-linear Dimensionality Reduction
7.3.Model-Driven Approaches: Matching Pursuit and its Extensions
7.4.Success Stories
7.5.Conclusion
7.6.Selected Online Resources
8 Spike Train Statistics from Empirical Facts to Theory: The Case of the Retina. B.Cessac and A.Palacios
8.1.Introduction
8.2.Unraveling the Neural Code in the Retina via Spike Train Statistics Analysis
8.3.Spike Train Statistics from a Theoretical Perspective
8.4.Using Gibbs Distributions to Analysing Spike Trains Statistics
8.5.Conclusion
8.6.Outlook
8.7.Online Resources
Biology, Medicine and Biophysics
Mathematics and Computer Science
Index
Foreword by Olivier Faugeras
Foreword by Joël Janin
Preface
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edited by Clara Grácio, Daniele Fournier-Prunaret, Tetsushi Ueta, Yoshifumi Nishio
出版情報: New York, NY : Springer New York : Imprint: Springer, 2014
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 57
オンライン: http://dx.doi.org/10.1007/978-1-4614-9161-3
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J. P. Almeida; A. A. Pinto; D. A. Rand, Renormalization of circle diffeomorphism sequences and Markov sequences
F. Balibrea; M. V. Caballero, Examples of Lyapunov exponents in two dimensional systems
R. A. da Costa; S. N. Dorogovtsev; A.V. Goltsev; J. F. F. Mendes, Characteristics of the explosive percolation transition
E. S. Roberts; A. Annibale; A. C. C. Coolen, Controlled Markovian dynamics of graphs: unbiased generation of random graphs with prescribed topological properties
G. Bettencourt, A case leading to rationalist of the drift
L. S. Efremova, Remarks on the nonwandering set of skew products with a closed set of periodic points of the quotient map
J. Erreira, Green route planner
P. Gomes; N. Franco; L. Silva, Families of hyperbolic Lorenz knots
C. Gracio; A. C. C. Coolen; A. Annibale, Cycle statistics in complex networks and Ihara's zeta function; Z. B. Jemaa; D.Fournier-Prunaret; S. Belghith, Independence test of chaotic sequences; Y. Kawai; T. Tsubone, Stability Transformation Method for Unstable Periodic Orbits and Its Realization; N. Klinshpont, Lorenz attractors and generalizations. Geometric and topological aspects; R. Lopez-Ruiz; E. Shivanian, A nonlinear map for the decay to equilibrium of ideal gases
S. Mendes, On the dynamics of a cubic p-adic polynomial
C. Serpa; J. Buescu, A dynamical approach to congruences: linking circle maps and aperiodic necklaces
Y. Uwate; Y. Nishio, Complex pattern in a chain of couples maps based on neuron model with space and time-varying couplings
J. P. Almeida; A. A. Pinto; D. A. Rand, Renormalization of circle diffeomorphism sequences and Markov sequences
F. Balibrea; M. V. Caballero, Examples of Lyapunov exponents in two dimensional systems
R. A. da Costa; S. N. Dorogovtsev; A.V. Goltsev; J. F. F. Mendes, Characteristics of the explosive percolation transition
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by Hamid Reza Noori
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014
シリーズ名: SpringerBriefs in Applied Sciences and Technology ;
オンライン: http://dx.doi.org/10.1007/978-3-642-38218-5
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Introduction
Bifurcation Theory and Bistability
Preisach Models
Examples of Hysteresis Phenomena in Biology
Introduction
Bifurcation Theory and Bistability
Preisach Models
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edited by Marcello Delitala, Giulia Ajmone Marsan
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 67
オンライン: http://dx.doi.org/10.1007/978-3-319-03759-2
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Mathematical Ecology of Cancer. T.Hillen and M.A. Lewis
Quantitative Approaches to Heterogeneity and Growth Variability in Cell Populations. P. Macansantos and V. Quaranta
A Stochastic Model of Glioblastoma Invasion: the Impact of Phenotypic Switching. P.Gerlee and S.Nelander
A Hybrid Model for E. Coli Chemotaxis: from Signaling Pathway to Pattern Formation. F.Matthäus
Multiscale Analysis and Modelling for Cancer Growth and Development. D. Trucu and M.A. J. Chaplain
A Non-linear Flux-limited Model for the Transport of Morphogens. Glycosylation: a Phenomenon Shared by all Domains of Life. A. Dell and F. Sastre
Some Thoughts on the Ontogenesis in B-cell Immune Networks. E. Agliari, A. Barra, S. Franz, T.Pentado-Sabetta
Mathematical Modeling of Cancer Cells Evolution Under Targeted Chemotherapies. M.Delitala and T.Lorenzi
Traveling Waves Emerging in a Diffusive Moving Filament System. H. Freistühler, J. Fuhrmann and A. Stevens
Homing to the Niche: a Mathematical Model Describing the Chemotactic Migration of Hematopoietic Stem Cells. M. Neuss-Radu
DDE Models of the Glucose-insulin System: a Useful Tool for the Artificial Pancreas. J.D. Kong, Sr.S. Kumar, P.Palumbo
Physics and Complexity: an Introduction. D. Sherrington
The Language of Systems Biology. M. Delitala and T. Hillen
Mathematical Ecology of Cancer. T.Hillen and M.A. Lewis
Quantitative Approaches to Heterogeneity and Growth Variability in Cell Populations. P. Macansantos and V. Quaranta
A Stochastic Model of Glioblastoma Invasion: the Impact of Phenotypic Switching. P.Gerlee and S.Nelander
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by Herbert Edelsbrunner
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: SpringerBriefs in Applied Sciences and Technology ;
オンライン: http://dx.doi.org/10.1007/978-3-319-05957-0
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Roots of Geometry and Topology
Voronoi and Delaunay Diagrams
Weighted Diagrams
Three Dimensions
Alpha Complexes
Holes
Area Formulas
Topological Spaces
Homology Groups
Complex Construction
Filtrations
PL Functions
Matrix Reduction
Epilogue
Roots of Geometry and Topology
Voronoi and Delaunay Diagrams
Weighted Diagrams
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edited by Ali R. Ansari
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 87
オンライン: http://dx.doi.org/10.1007/978-3-319-06923-4
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Modelling invasive processes in biology
Modelling oxygen capillary supply to striated muscle tissues
Modeling human response to bed–net promotion campaigns and its impact on malaria transmission
Computational Modelling and Optimal Control of HIV/AIDS Transmission in a Community with Substance Abuse Problem
Standard difference scheme for a singularly perturbed convection-diffusion equation in the presence of perturbations
A Higher Order Immersed Discontinuous Galerkin Finite Element Method for the Acoustic Interface Problem
A parameter uniform numerical method for a boundary value problem for a singularly perturbed delay differential equation
Optimal L ∞
error estimate for a System of Elliptic Quasi-variational Inequalities with Non coercive Operators
Convergence of finite element approximations for generalized Marguerre-von Kármán equations
The Maple Program Procedures at Solution Systems of Differential Equation with Taylor Collocation Method
Numerical Study of Convective Heat and Mass Transfer Flow in Channels
A parameter uniform method for an initial value problem for a system of singularly perturbed delay differential equations
On a technique to construct grid methods of higher accuracy order for a singularly perturbed parabolic reaction-diffusion equation
Spectral Analysis of Large Sparse Matrices for Scalable Direct Solvers
Numerical study of two-dimensional jet flow issuing from a funnel
Higher-Order Immersed Finite Element Spaces for Second-Order Elliptic Interface Problems with Quadratic Interface
Calendering analysis of a non-Newtonian material
Wavelet solution of convection-diffusion equation with Neumann boundary conditions
Test of Causality between oil price and GDP growth in Algeria
Solution Behavior of Heston Model Using Impression Matrix Norm
Approximations to the solution of the Frank Kamenetskii equation in a spherical geometry
Blow up of series solutions on the half line
Two models of sub diffusion processes: When they are similar?
Analysis of customers’ impatience in M/M/1queues with server subject to random breakdowns and exponential vacations
Exchange curve and coverage analysis -Tools for better inventory management: a case study
Modeling Combustion Process in Circulating Fluidized Bed Boiler: A Fuzzy Graph Approach
Modelling invasive processes in biology
Modelling oxygen capillary supply to striated muscle tissues
Modeling human response to bed–net promotion campaigns and its impact on malaria transmission
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by Avner Friedman, Chiu-Yen Kao
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes on Mathematical Modelling in the Life Sciences ;
オンライン: http://dx.doi.org/10.1007/978-3-319-08314-8
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Introduction
Chemical Kinetics and Enzyme Dynamics
Ordinary Differential Equations
Epidemiology of Infectious Diseases
Chemostats and Competition Among Species
Bifurcation Theory
Neuronal Oscillations
Conservation Laws
Neurofilaments Transport in Axon
Diffusion and Chemotaxis
Cancer
Cancer Therapy
Granulomas
Bibliography
Answers to Problems
Introduction
Chemical Kinetics and Enzyme Dynamics
Ordinary Differential Equations
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by Mimmo Iannelli, Andrea Pugliese
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: UNITEXT ; 79
オンライン: http://dx.doi.org/10.1007/978-3-319-03026-5
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1 Malthus, Verhulst and all that
2 Delayed population models
3 Models of discrete-time population growth
4 Stochastic modeling of population growth
5 Spatial spread of a population
6 Prey-predator models
7 Competition among species
8 Mathematical modeling of epidemics
9 Models with several species and trophic levels
10 Appendices: A Basic theory of Ordinary Differential Equations; B Delay Equations; C Discrete dynamics; D Continuous-time Markov chains
1 Malthus, Verhulst and all that
2 Delayed population models
3 Models of discrete-time population growth
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edited by Trachette Jackson, Ami Radunskaya
出版情報: New York, NY : Springer New York : Imprint: Springer, 2015
シリーズ名: The IMA Volumes in Mathematics and its Applications ; 158
オンライン: http://dx.doi.org/10.1007/978-1-4939-2782-1
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Anti-Cancer Drug Resistance: A Pre-existing or Emerging Phenomenon?
Modeling Fluid Flow Induced by Bacterial Carpets
Modeling Auto regulation in the Kidney
Modeling Anti-coagulation Therapy
Mathematical Modeling of Evolutionary Diversification
Intermittent Preventative Treatment (IPT) and the Spread of Drug Resistance to Malaria
Stochastic Modeling of the Phototransduction Cascade for Melanopsin
Clustering in Inhibitory Neural Networks with Nearest Neighbor Coupling
Modeling the Dynamics of REM Sleep
Anti-Cancer Drug Resistance: A Pre-existing or Emerging Phenomenon?
Modeling Fluid Flow Induced by Bacterial Carpets
Modeling Auto regulation in the Kidney
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by Aurélien Alfonsi
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Bocconi & Springer Series, Mathematics, Statistics, Finance and Economics ; 6
オンライン: http://dx.doi.org/10.1007/978-3-319-05221-2
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1 Real valued affine diffusions
2 An introduction to simulation schemes for SDEs
3 Simulation of the CIR process
4 The Heston model and multidimensional affine diffusions
5 Wishart processes and affine diffusions on positive semidefinite matrices
6 Processes of Wright-Fisher type
7 Appendix A Some results on matrices
8 Appendix B Simulation of a gamma random variable
1 Real valued affine diffusions
2 An introduction to simulation schemes for SDEs
3 Simulation of the CIR process
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by Richard Durrett
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Mathematical Biosciences Institute Lecture Series ; 1.1
オンライン: http://dx.doi.org/10.1007/978-3-319-16065-8
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Multistage Theory of Cancer
Mathematical Overview
Branching Process Results
Time for Z_0 to Reach Size M
Time Until the First Type 1
Mutation Before Detection?
Accumulation of Neutral Mutations
Properties of the Gamma Function
Growth of Z_1(t)
Movements of Z_1(t)
Luria-Delbruck Distributions
Number of Type 1's at Time T_M
Gwoth of Z_k(t)
Transitions Between Waves
Time to the First Type \tau_k, k \ge 2
Application: Metastasis
Application: Ovarian Cancer
Application: Intratumor Heterogeneity
Multistage Theory of Cancer
Mathematical Overview
Branching Process Results
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by Ben Leimkuhler, Charles Matthews
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Interdisciplinary Applied Mathematics ; 39
オンライン: http://dx.doi.org/10.1007/978-3-319-16375-8
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1.Introduction
2.Numerical Integrators
3.Analyzing Geometric Integrators
4.The Stability Threshold
5.Phase Space Distributions and Microcanonical Averages
6. The Canonical Distribution and Stochastic Differential Equations
7. Numerical Methods for Stochastic Molecular Dynamics
8. Extended Variable Methods
References
Index
1.Introduction
2.Numerical Integrators
3.Analyzing Geometric Integrators
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edited by Mihir K. Chakraborty, Andrzej Skowron, Manoranjan Maiti, Samarjit Kar
出版情報: New Delhi : Springer India : Imprint: Springer, 2015
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 125
オンライン: http://dx.doi.org/10.1007/978-81-322-2301-6
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Part I: Uncertainty Modeling
Chapter 1. Rough Sets and other Mathematics: Ten Research Programs
Chapter 2. Dealing with Uncertainty: From Rough Sets to Interactive Rough-Granular Computing
Chapter 3. An Evolutionary Approach to Secondary Membership Function Selection in Generalized Type- 2 Fuzzy Sets
Chapter 4. Specificity based defuzzification in approximate reasoning
Chapter 5. Proto-fuzzy Concepts Generation Technique Using Fuzzy Graph
Part II: Logic of Uncertainty
Chapter 6. Open World Models: a View from Rough Set Theory
Chapter 7. Approximate reasoning under type-2 fuzzy logics
Chapter 8. Approximation Dialectics of Proto-Transitive Rough Sets
Part III: Hybridization of Uncertainties
Chapter 9. A Probabilistic Approach to Information System and Rough Set Theory
Chapter 10. Uncertainty Analysis of Contaminant Transportation Through Ground Water Using Fuzzy-Stochastic Response Surface
Chapter 11. Development of a Fuzzy Random Health Risk Model
Chapter 12. Uncertainty Analysis of Retardation factor using Monte Carlo, Fuzzy set and Hybrid Approach
Part IV: Roll of Uncertainties
Chapter 13. Two Person Interaction Detection Using Kinect Sensor
Chapter 14. An Improved Genetic Algorithm and Its Application in Constrained Solid TSP in Uncertain Environments
Chapter 15. A Novel Soft theoretic AHP Model for Project Management in Multi-Criteria Decision Making Problem
Chapter 16. An Application of Weighted Neutrosophic Soft Sets in a Decision Making Problem
Chapter 17. Approximate Reasoning in Management of Hypertension
Chapter 18. The Hesitant Fuzzy Soft Set and its Application in Decision Making
Chapter 19. On Fuzzy Ideal Cone Method to Capture Entire Fuzzy Non-dominated Set of Fuzzy Multi-criteria Optimization Problems with Fuzzy Parameters
Chapter 20. A Bi-Objective Solid Transportation Model under Uncertain Environment
Chapter 21. A Food web Population Model in Deterministic and Stochastic Environment
Chapter 22. Computational Method for High-order Weighted Fuzzy Time Series Forecasting Based on Multiple Partitions
Chapter 23. Portfolio Selection with Possibilistic Kurtosis
Chapter 24. Conflicting Bifuzzy Preference Relations based Method for Multi Criteria Decision Making Problems
Chapter 25. A Linear Goal Programming Method for Solving Chance Constrained Multi objective Problems with Interval Data Uncertainty.
Part I: Uncertainty Modeling
Chapter 1. Rough Sets and other Mathematics: Ten Research Programs
Chapter 2. Dealing with Uncertainty: From Rough Sets to Interactive Rough-Granular Computing
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by Benoît Perthame
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes on Mathematical Modelling in the Life Sciences ;
オンライン: http://dx.doi.org/10.1007/978-3-319-19500-1
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1.Parabolic Equations in Biology
2.Relaxation, Perturbation and Entropy Methods
3.Weak Solutions of Parabolic Equations in whole Space
4.Traveling Waves
5.Spikes, Spots and Pulses
6.Blow-up and Extinction of Solutions
7.Linear Instability, Turing Instability and Pattern Formation
8.The Fokker-Planck Equation
9.From Jumps and Scattering to the Fokker-Planck Equation
10.Fast Reactions and the Stefan free Boundary Problem
1.Parabolic Equations in Biology
2.Relaxation, Perturbation and Entropy Methods
3.Weak Solutions of Parabolic Equations in whole Space
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edited by Jerry J. Batzel, Mostafa Bachar, Franz Kappel
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2064
オンライン: http://dx.doi.org/10.1007/978-3-642-32882-4
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1 Merging Mathematical and Physiological Knowledge: Dimensions and Challenges
2 Mathematical Modeling of Physiological Systems
3 Parameter Selection Methods in Inverse Problem Formulation.- 4 Application of the Unscented Kalman Filtering to Parameter Estimation
5 Integrative and Reductionist Approaches to Modeling of Control of Breathing
6 Parameter Identification in a Respiratory Control System Model with Delay
7 Experimental Studies of Respiration and Apnea
8 Model Validation and Control Issues in the Respiratory System
9 Experimental Studies of the Baroreflex
10 Development of Patient Specific Cardiovascular Models Predicting Dynamics in Response to Orthostatic Stress Challenges
11 Parameter Estimation of a Model for Baroreflex Control of Unstressed Volume
1 Merging Mathematical and Physiological Knowledge: Dimensions and Challenges
2 Mathematical Modeling of Physiological Systems
3 Parameter Selection Methods in Inverse Problem Formulation.- 4 Application of the Unscented Kalman Filtering to Parameter Estimation
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edited by Mark A. Lewis, Philip K. Maini, Sergei V. Petrovskii
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2071
オンライン: http://dx.doi.org/10.1007/978-3-642-35497-7
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Part I: Individual Animal Movement
1. Stochas-tic optimal foraging theory
2. Levy or not? Analysing positional data from animal movement paths
3. Beyond optimal searching: Recent developments in the modelling of animal movement patterns as Levy walks
Part II: From Individuals to Populations
4. The mathematical analysis of biological aggregation and dispersal: progress, problems and perspectives
5. Hybrid modelling of individual movement and collective behaviour
6. From individual movement rules to population level patterns: the case of central-place foragers
7. Transport and anisotropic diffusion models for movement in oriented habitats
8. Incorporating complex foraging of zooplankton in models: role of micro- and mesoscale processes in macroscale patterns
Part III: Populations, Communities and Ecosystems
9. Life on the move: modeling the effects of climate-driven range shifts with integrodifference equations
10. Control of competitive bioinvasion
11. Destruction and diversity: effects of habitat loss on ecological communities
12. Emergence and propagation of patterns in nonlocal reaction-diffusion equations arising in the theory of speciation
13. Numerical study of pest population size at various diffusion rates
Part I: Individual Animal Movement
1. Stochas-tic optimal foraging theory
2. Levy or not? Analysing positional data from animal movement paths
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edited by Peter E. Kloeden, Christian Pötzsche
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2102
オンライン: http://dx.doi.org/10.1007/978-3-319-03080-7
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Nonautonomous dynamical systems in the life sciences
Random dynamical systems with inputs
Canard theory and excitability
Stimulus-response reliability of biological networks
Coupled nonautonomous oscillators
Multisite mechanisms for ultrasensitivity in signal transduction
Mathematical concepts in pharmacokinetics and pharmacodynamics with application to tumor growth
Viral kinetic modeling of chronic hepatitis C and B infection
Some classes of stochastic differential equations as an alternative modeling approach to biomedical problems
Nonautonomous dynamical systems in the life sciences
Random dynamical systems with inputs
Canard theory and excitability
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edited by Jacek Banasiak, Mustapha Mokhtar-Kharroubi
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2126
オンライン: http://dx.doi.org/10.1007/978-3-319-11322-7
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Wilson Lamb: Applying functional analytic techniques to evolution equations
Adam Bobrowski: Boundary conditions in evolutionary equations in biology.-Ernesto Estrada: Introduction to Complex Networks: Structure and Dynamics.-Jacek Banasiak: Kinetic models in natural sciences
Philippe Laurençot: Weak compactness techniques and coagulation equations
Ryszard Rudnicki: Stochastic operators and semigroups and their applications in physics and biology
Mustapha Mokhtar-Kharroubi: Spectral theory for neutron transport.-Anna Marciniak-Czochra: Reaction-diffusion-ODE models of pattern formation
Mapundi Kondwani Banda: Nonlinear Hyperbolic Systems of Conservation Laws and Related Applications
Wilson Lamb: Applying functional analytic techniques to evolution equations
Adam Bobrowski: Boundary conditions in evolutionary equations in biology.-Ernesto Estrada: Introduction to Complex Networks: Structure and Dynamics.-Jacek Banasiak: Kinetic models in natural sciences
Philippe Laurençot: Weak compactness techniques and coagulation equations