Lecture Notes on Mathematical Modelling in the Life Sciences – serie
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24 produkter
Mathematical Methods and Models in Biomedicine
Av Urszula Ledzewicz, Heinz Schättler m. fl.
Häftad, 2012
1207 kr
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Mathematical biomedicine is a rapidly developing interdisciplinary field of research that connects the natural and exact sciences in an attempt to respond to the modeling and simulation challenges raised by biology and medicine. There exist a large number of mathematical methods and procedures that …
Waves in Neural Media
From Single Neurons to Neural Fields
Häftad, 2013
1207 kr
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Waves in Neural Media: From Single Neurons to Neural Fields surveys mathematical models of traveling waves in the brain, ranging from intracellular waves in single neurons to waves of activity in large-scale brain networks. The work provides a pedagogical account of analytical methods for finding …
Transmission Dynamics of Tick-Borne Diseases with Co-Feeding, Developmental and Behavioural Diapause
Av Jianhong Wu, Xue Zhang
Häftad, 2020
569 kr
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This monograph introduces some current developments in the modelling of the spread of tick-borne diseases. Effective modelling requires the integration of multiple frameworks. Here, particular attention is given to the previously neglected issues of tick developmental and behavioral diapause, …
Systems Biology
Modeling, Analysis, and Simulation
Av Jinzhi Lei
Häftad, 2021
667 kr
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This book discusses the mathematical simulation of biological systems, with a focus on the modeling of gene expression, gene regulatory networks and stem cell regeneration. The diffusion of morphogens is addressed by introducing various reaction-diffusion equations based on different hypotheses …
Meta-Ecosystem Dynamics
Understanding Ecosystems Through the Transformation and Movement of Matter
Av Frederic Guichard, Justin Marleau
Häftad, 2021
877 kr
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This book presents current meta-ecosystem models and their derivation from classical ecosystem and metapopulation theories. Specifically, it reviews recent modelling efforts that have emphasized the role of nonlinear dynamics on spatial and food web networks, and which have cast their implications …
Delay and Uncertainty in Human Balancing Tasks
Av Tamás Insperger, John Milton
Häftad, 2021
850 kr
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This book demonstrates how delay differential equations (DDEs) can be used to compliment the laboratory investigation of human balancing tasks. This approach is made accessible to non-specialists by comparing mathematical predictions and experimental observations. For example, the observation that …
Stochastic Chemical Reaction Systems in Biology
Häftad, 2021
989 kr
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This book provides an introduction to the analysis of stochastic dynamic models in biology and medicine. The main aim is to offer a coherent set of probabilistic techniques and mathematical tools which can be used for the simulation and analysis of various biological phenomena. These tools are …
Differential Equations and Population Dynamics I
Introductory Approaches
Av Arnaud Ducrot, Quentin Griette m. fl.
Häftad, 2022
351 kr
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This book presents the basic theoretical concepts of dynamical systems with applications in population dynamics. Existence, uniqueness and stability of solutions, global attractors, bifurcations, center manifold and normal form theories are discussed with cutting-edge applications, including a …
Introduction to Reaction-Diffusion Equations
Theory and Applications to Spatial Ecology and Evolutionary Biology
Häftad, 2022
455 kr
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This book introduces some basic mathematical tools in reaction-diffusion models, with applications to spatial ecology and evolutionary biology. It is divided into four parts.The first part is an introduction to the maximum principle, the theory of principal eigenvalues for elliptic and …
Probabilistic Spiking Neuronal Nets
Neuromathematics for the Computer Era
Av Antonio Galves, Eva Löcherbach m. fl.
Häftad, 2024
1098 kr
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This book provides a self-contained introduction to a new class of stochastic models for systems of spiking neurons. These systems have a large number of interacting components, each one evolving as a stochastic process with a memory of variable length. Several mathematical tools are put to use, …
Dynamics of Front Propagation in Nonlocal Reaction–Diffusion Equations
Häftad, 2024
1098 kr
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The book provides a self-contained and complete description of the long time evolution of the solutions to a class of one-dimensional reaction–diffusion equations, in which the diffusion is given by an integral operator. The underlying motivation is the mathematical analysis of models for …
Dynamics of Physiological Control
Contributions in Honor of Michael C. Mackey
Av Yoichiro Mori, Benoît Perthame m. fl.
Häftad, 2025
551 kr
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This book provides an overview of recent mathematical models for dynamics in cellular systems and offers a unique vision of the field by prominent experts.It covers, among others, the regulatory basis of oscillations in biological systems; ergodic and chaotic properties in biological models with …
Differential Equations and Population Dynamics II
Advanced Approaches
Av Arnaud Ducrot, Quentin Griette m. fl.
Häftad, 2026
727 kr
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This book is the second volume in a two-part series on the theory of ordinary differential equations and their applications to population dynamics. While the first volume provides an introduction to the topic, this second volume presents advanced mathematical tools for analyzing such problems. Part …
Mathematical Modeling for Life Sciences: A Primer
Inbunden, 2026
608 kr
Kommande
This textbook introduces mathematical modelling in life sciences in an interdisciplinary setting for students whose backgrounds range from medicine to mathematics, focusing on a set of topics that introduce mathematical thinking through biological questions. Each chapter begins with a clear …
Chemical Kinetics, Stochastic Processes, and Irreversible Thermodynamics
Häftad, 2014
442 kr
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This book brings theories in nonlinear dynamics, stochastic processes, irreversible thermodynamics, physical chemistry and biochemistry together in an introductory but formal and comprehensive manner. Coupled with examples, the theories are developed stepwise, starting with the simplest concepts …
Mathematical Modeling of Biological Processes
Av Avner Friedman, Chiu-Yen Kao
Häftad, 2014
551 kr
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This book on mathematical modeling of biological processes includes a wide selection of biological topics that demonstrate the power of mathematics and computational codes in setting up biological processes with a rigorous and predictive framework. Topics include: enzyme dynamics, spread of …
Parabolic Equations in Biology
Growth, reaction, movement and diffusion
Häftad, 2015
498 kr
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This book presents several fundamental questions in mathematical biology such as Turing instability, pattern formation, reaction-diffusion systems, invasion waves and Fokker-Planck equations. These are classical modeling tools for mathematical biology with applications to ecology and population …
Data-driven Modelling of Structured Populations
A Practical Guide to the Integral Projection Model
Av Stephen P. Ellner, Dylan Z. Childs m. fl.
Häftad, 2016
769 kr
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This book is a “How To” guide for modeling population dynamics using Integral Projection Models (IPM) starting from observational data. It is written by a leading research team in this area and includes code in the R language (in the text and online) to carry out all computations. The intended …
Simple Mathematical Models of Gene Regulatory Dynamics
Av Michael C. Mackey, Moisés Santillán m. fl.
Häftad, 2016
569 kr
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This is a short and self-contained introduction to the field of mathematical modeling of gene-networks in bacteria. As an entry point to the field, we focus on the analysis of simple gene-network dynamics. The notes commence with an introduction to the deterministic modeling of gene-networks, with …
Topics in Mathematical Biology
Häftad, 2018
1425 kr
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This book analyzes the impact of quiescent phases on biological models. Quiescence arises, for example, when moving individuals stop moving, hunting predators take a rest, infected individuals are isolated, or cells enter the quiescent compartment of the cell cycle. In the first chapter of Topics …
Methods and Models in Mathematical Biology
Deterministic and Stochastic Approaches
Av Johannes Müller, Christina Kuttler
Häftad, 2015
989 kr
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This book developed from classes in mathematical biology taught by the authors over several years at the Technische Universität München. The main themes are modeling principles, mathematical principles for the analysis of these models and model-based analysis of data. The key topics of modern …
Mathematical Modeling in Renal Physiology
Av Anita T. Layton, Aurelie Edwards
Häftad, 2014
531 kr
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With the availability of high speed computers and advances in computational techniques, the application of mathematical modeling to biological systems is expanding. This comprehensive and richly illustrated volume provides up-to-date, wide-ranging material on the mathematical modeling of kidney …
Basic Approach to Age-Structured Population Dynamics
Models, Methods and Numerics
Av Mimmo Iannelli, Fabio Milner
Häftad, 2017
769 kr
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This book provides an introduction to age-structured population modeling which emphasizes the connection between mathematical theory and underlying biological assumptions.Through the rigorous development of the linear theory and the nonlinear theory alongside numerics, the authors explore classical …
Mathematical Methods for Cancer Evolution
Häftad, 2017
667 kr
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The purpose of this monograph is to describe recent developments in mathematical modeling and mathematical analysis of certain problems arising from cell biology. Cancer cells and their growth via several stages are of particular interest. To describe these events, multi-scale models are applied, …
