- Preface.- A. Friedman: Introduction to Neurons.- D. Terman: An Introduction to Dynamical Systems and Neuronal Dynamics.- B. Ermentrout: Neural Oscillators.- A. Borisyuk: Physiology and Mathematical Modeling of the Auditory System.
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- Preface.- Introduction.- Basic Concept of Ca2+ Signaling in Cells and Tissues (M. J. Sanderson).- Modeling IP-3-Dependent Calcium Dynamics in Non-Excitable Cells (J. Sneyd).- Integrated Calcium Management in Cardiac Myocytes (T. R. Shannon).- Mechanisms and Models of Cardiac Excitation-Contraction Coupling (R. L. Winslow, R. Hinch, J. L. Greenstein).- Mathematical Analysis of the Generation of Force and Motion in Contracting Muscle (E. Pate).- Signal Transduction in Vertebrate Olfactory Receptor Cells (J. Reisert).- Mathematical Models of Synaptic Transmission and Short-Term Plasticity (R. Bertram).
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- Inference of Phylogenetic Trees (Laura Salter Kubatko).- Large-Scale Phylogenetic Analysis of Emerging Infectious Diseases (Daniel Janies and Diego Pol).- Reaction-Diffusion Equations and Ecological Modeling (Chris Cosner).- The Dynamics of Migration-Selection Models (Thomas Nagylaki and Yuan Lou).- Some Challenging Mathematical Problems in Evolution of Dispersal and Population Dynamics (Yuan Lou).
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- Modeling the Cell Division Cycle (B. Aguda).- Angiogenesis - A Biochemical/Mathematical Prospective (H. A. Levine and M. Nilsen-Hamilton).- Spatio-Temporal Models of the uPA System and Tissue Invasion (G. Lolas).- Mathematical Modeling of Spatio-Temporal Phenomena in Tumor Immunology (M. Chaplain and A. Matzavinos).- Control Theory Approach to Cancer Chemotherapy: Benefiting from Phase Dependence and Overcoming Drug Resistance (M. Kimmel and A. Swierniak).- Cancer Models and their Mathematical Analysis (A. Friedman).
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This book presents a series of models in the general area of cell physiology and signal transduction, with particular attention being paid to intracellular calcium dynamics, and the role played by calcium in a variety of cell types. Calcium plays a crucial role in cell physiology, and the study of its dynamics lends insight into many different cellular processes. In particular, calcium plays a central role in muscular contraction, olfactory transduction and synaptic communication, three of the topics to be addressed in detail in this book. In addition to the models, much of the underlying physiology is presented, so that readers may learn both the mathematics and the physiology, and see how the models are applied to specific biological questions. It is intended primarily as a graduate text or a research reference. It will serve as a concise and up-to-date introduction to all those who wish to learn about the state of calcium dynamics modeling, and how such models are applied to physiological questions.

(source: Nielsen Book Data)
This volume introduces some basic theories on computational neuroscience. Chapter 1 is a brief introduction to neurons, tailored to the subsequent chapters. Chapter 2 is a self-contained introduction to dynamical systems and bifurcation theory, oriented towards neuronal dynamics. The theory is illustrated with a model of Parkinson's disease. Chapter 3 reviews the theory of coupled neural oscillators observed throughout the nervous systems at all levels; it describes how oscillations arise, what pattern they take, and how they depend on excitory or inhibitory synaptic connections. Chapter 4 specializes to one particular neuronal system, namely, the auditory system. It includes a self-contained introduction, from the anatomy and physiology of the inner ear to the neuronal network that connects the hair cells to the cortex, and describes various models of subsystems.

(source: Nielsen Book Data)
This volume introduces some basic mathematical models for cell cycle, proliferation, cancer, and cancer therapy. Chapter 1 gives an overview of the modeling of the cell division cycle. Chapter 2 describes how tumor secretes growth factors to form new blood vessels in its vicinity, which provide it with nutrients it needs in order to grow. Chapter 3 explores the process that enables the tumor to invade the neighboring tissue. Chapter 4 models the interaction between a tumor and the immune system. Chapter 5 is concerned with chemotherapy; it uses concepts from control theory to minimize obstacles arising from drug resistance and from cell cycle dynamics. Finally, Chapter 6 reviews mathematical results for various cancer models.

(source: Nielsen Book Data)