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Models of Calcium Signalling

Models of Calcium Signalling PDF Author: Geneviève Dupont
Publisher: Springer
ISBN: 3319296477
Category : Mathematics
Languages : en
Pages : 453

Book Description
This book discusses the ways in which mathematical, computational, and modelling methods can be used to help understand the dynamics of intracellular calcium. The concentration of free intracellular calcium is vital for controlling a wide range of cellular processes, and is thus of great physiological importance. However, because of the complex ways in which the calcium concentration varies, it is also of great mathematical interest.This book presents the general modelling theory as well as a large number of specific case examples, to show how mathematical modelling can interact with experimental approaches, in an interdisciplinary and multifaceted approach to the study of an important physiological control mechanism. Geneviève Dupont is FNRS Research Director at the Unit of Theoretical Chronobiology of the Université Libre de Bruxelles; Martin Falcke is head of the Mathematical Cell Physiology group at the Max Delbrück Center for Molecular Medicine, Berlin; Vivien Kirk is an Associate Professor in the Department of Mathematics at the University of Auckland, New Zealand; James Sneyd is a Professor in the Department of Mathematics at The University of Auckland, New Zealand.

Models of Calcium Signalling

Models of Calcium Signalling PDF Author: Geneviève Dupont
Publisher: Springer
ISBN: 3319296477
Category : Mathematics
Languages : en
Pages : 453

Book Description
This book discusses the ways in which mathematical, computational, and modelling methods can be used to help understand the dynamics of intracellular calcium. The concentration of free intracellular calcium is vital for controlling a wide range of cellular processes, and is thus of great physiological importance. However, because of the complex ways in which the calcium concentration varies, it is also of great mathematical interest.This book presents the general modelling theory as well as a large number of specific case examples, to show how mathematical modelling can interact with experimental approaches, in an interdisciplinary and multifaceted approach to the study of an important physiological control mechanism. Geneviève Dupont is FNRS Research Director at the Unit of Theoretical Chronobiology of the Université Libre de Bruxelles; Martin Falcke is head of the Mathematical Cell Physiology group at the Max Delbrück Center for Molecular Medicine, Berlin; Vivien Kirk is an Associate Professor in the Department of Mathematics at the University of Auckland, New Zealand; James Sneyd is a Professor in the Department of Mathematics at The University of Auckland, New Zealand.

The Belousov-Zhabotinskii Reaction

The Belousov-Zhabotinskii Reaction PDF Author: J.J. Tyson
Publisher: Springer Science & Business Media
ISBN: 3642930468
Category : Mathematics
Languages : en
Pages : 138

Book Description
In 1958 B. P. Belousov discovered that the oxidation of citric acid by bromate in the presence of cerium ions does not proceed to equilibrium methodically and uniformly, like most chemical reactions, but rather oscillates with clocklike precision between a yellow and colorless state. See Fig. 11. 1, p. 30. A. M. Zhabotinskii followed up on Belousov's original observation and in 1964 his first investigations appeared in the Russian journal Biofizika. Though H. Degn (in Copenhagen at the time) knew of Zhabotinskii's work and published his own account of the mechanism of oscillation in Nature (1967), this interesting reaction attracted little attention among Western scientists until 1968, when Zhabotinskii and his coworkers and Busse (from Braunschweig, W. Germany) reported on their work at an international conference on biological and biochemical oscillators held in Prague. Shortly thereafter appeared· a flurry of papers on temporal oscillations and spatial patterns in this reaction system. Vavilin and Zhabotinskii (1969) [and later Kasperek and Bruice (1971)] studied the kinetics of the oxidation 3 of Ce+ by Br0 and the oxidation of organic species by Ce+4. Busse (1969) 3 reported his observation of colored bands of chemical activity propagating up and down in a long tube of unstirred solution. Zaikin and Zhabotinskii (1970) observed circular chemical waves in thin layers of solution.

Simulating, Analyzing, and Animating Dynamical Systems

Simulating, Analyzing, and Animating Dynamical Systems PDF Author: Bard Ermentrout
Publisher: SIAM
ISBN: 0898715067
Category : Mathematics
Languages : en
Pages : 298

Book Description
Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT for Researchers and Students provides sophisticated numerical methods for the fast and accurate solution of a variety of equations, including ordinary differential equations, delay equations, integral equations, functional equations, and some partial differential equations, as well as boundary value problems. It introduces many modeling techniques and methods for analyzing the resulting equations. Instructors, students, and researchers will all benefit from this book, which demonstrates how to use software tools to simulate and study sets of equations that arise in a variety of applications. Instructors will learn how to use computer software in their differential equations and modeling classes, while students will learn how to create animations of their equations that can be displayed on the World Wide Web. Researchers will be introduced to useful tricks that will allow them to take full advantage of XPPAUT's capabilities.

Understanding Calcium Dynamics

Understanding Calcium Dynamics PDF Author: Martin Falcke
Publisher: Springer Science & Business Media
ISBN: 9783540402367
Category : Science
Languages : en
Pages : 318

Book Description
Written as a set of tutorial reviews on both experimental facts and theoretical modelling, this volume is intended as an introduction and modern reference in the field for graduate students and researchers in biophysics, biochemistry and applied mathematics.

Signaling Mechanisms Regulating T Cell Diversity and Function

Signaling Mechanisms Regulating T Cell Diversity and Function PDF Author: Jonathan Soboloff
Publisher: CRC Press
ISBN: 149870509X
Category : Medical
Languages : en
Pages : 258

Book Description
T cells play a vital role mediating adaptive immunity, a specific acquired resistance to an infectious agent produced by the introduction of an antigen. There are a variety of T cell types with different functions. They are called T cells, because they are derived from the thymus gland. This volume discusses how T cells are regulated through the operation of signaling mechanisms. Topics covered include positive and negative selection, early events in T cell receptor engagement, and various T cell subsets.

Calcium Entry Channels in Non-Excitable Cells

Calcium Entry Channels in Non-Excitable Cells PDF Author: Juliusz Ashot Kozak
Publisher: CRC Press
ISBN: 149875273X
Category : Science
Languages : en
Pages : 343

Book Description
Calcium Entry Channels in Non-Excitable Cells focuses on methods of investigating the structure and function of non-voltage gated calcium channels. Each chapter presents important discoveries in calcium entry pathways, specifically dealing with the molecular identification of store-operated calcium channels which were reviewed by earlier volumes in the Methods in Signal Transduction series. Crystallographic and pharmacological approaches to the study of calcium channels of epithelial cells are also discussed. Calcium ion is a messenger in most cell types. Whereas voltage gated calcium channels have been studied extensively, the non-voltage gated calcium entry channel genes have only been identified relatively recently. The book will fill this important niche.

Biochemical Oscillations and Cellular Rhythms

Biochemical Oscillations and Cellular Rhythms PDF Author: Albert Goldbeter
Publisher: Cambridge University Press
ISBN: 9780521599467
Category : Science
Languages : en
Pages : 632

Book Description
This book addresses the molecular bases of some of the most important biochemical rhythms known at the cellular level. The approach rests on the analysis of theoretical models closely related to experimental observations. Among the main rhythms considered are glycolytic oscillations observed in yeast and muscle, oscillations of cyclic AMP in Dictyostelium amoebae, intracellular calcium oscillation observed in a variety of cell types, the mitotic oscillator that drives the cell division cycle in eukaryotes, pulsatile hormone signaling, and circadian rhythms in Drosophila. This book will be of interest to life scientists such as biochemists, cell biologists, chronobiologists, medical scientists and pharmacologists. In addition, it will appeal to scientists studying nonlinear phenomena, including oscillations and chaos, in chemistry, physics, mathematics and theoretical biology.

Automated Reasoning for Systems Biology and Medicine

Automated Reasoning for Systems Biology and Medicine PDF Author: Pietro Liò
Publisher: Springer
ISBN: 303017297X
Category : Computers
Languages : en
Pages : 471

Book Description
This book presents outstanding contributions in an exciting, new and multidisciplinary research area: the application of formal, automated reasoning techniques to analyse complex models in systems biology and systems medicine. Automated reasoning is a field of computer science devoted to the development of algorithms that yield trustworthy answers, providing a basis of sound logical reasoning. For example, in the semiconductor industry formal verification is instrumental to ensuring that chip designs are free of defects (or “bugs”). Over the past 15 years, systems biology and systems medicine have been introduced in an attempt to understand the enormous complexity of life from a computational point of view. This has generated a wealth of new knowledge in the form of computational models, whose staggering complexity makes manual analysis methods infeasible. Sound, trusted, and automated means of analysing the models are thus required in order to be able to trust their conclusions. Above all, this is crucial to engineering safe biomedical devices and to reducing our reliance on wet-lab experiments and clinical trials, which will in turn produce lower economic and societal costs. Some examples of the questions addressed here include: Can we automatically adjust medications for patients with multiple chronic conditions? Can we verify that an artificial pancreas system delivers insulin in a way that ensures Type 1 diabetic patients never suffer from hyperglycaemia or hypoglycaemia? And lastly, can we predict what kind of mutations a cancer cell is likely to undergo? This book brings together leading researchers from a number of highly interdisciplinary areas, including: · Parameter inference from time series · Model selection · Network structure identification · Machine learning · Systems medicine · Hypothesis generation from experimental data · Systems biology, systems medicine, and digital pathology · Verification of biomedical devices “This book presents a comprehensive spectrum of model-focused analysis techniques for biological systems ...an essential resource for tracking the developments of a fast moving field that promises to revolutionize biology and medicine by the automated analysis of models and data.”Prof Luca Cardelli FRS, University of Oxford

XIIIth International Symposium on Spermatology

XIIIth International Symposium on Spermatology PDF Author: Lars Björndahl
Publisher: Springer Nature
ISBN: 3030662926
Category : Medical
Languages : en
Pages : 370

Book Description
These proceedings of the 2018 XIII International Symposium on Spermatology focus on comparative biology, and encourages discussion and the exchange of ideas. The aim of this Symposium was to provide a unique opportunity and bring together scientists from a wide spectrum of research fields – human, domestic animals and other mammals, vertebrates, insects, and plants. The underlying focus is on the function of the spermatozoon – a common feature for sexual reproduction, but extremely varied. By exploring the variability, a better understanding of male reproductive functions can develop. These proceedings address the mechanisms of physiology and pathophysiology, rather than diagnosis and treatment. The symposium featured keynote lectures by invited speakers, followed by presentations on specific aspects of the general topic of the session. Experimental studies are given priority over clinical studies of patient populations. The proceedings comprise both keynote speakers' texts and selected free communications. Posters were considered for publication in the proceedings, and the volume includes exhibited materials on the work of prominent spermatologists, highlighting their important past achievements in the field.

Mathematical Analysis of Complex Cellular Activity

Mathematical Analysis of Complex Cellular Activity PDF Author: Richard Bertram
Publisher: Springer
ISBN: 3319181149
Category : Mathematics
Languages : en
Pages : 120

Book Description
This book contains two review articles on mathematical physiology that deal with closely related topics but were written and can be read independently. The first article reviews the basic theory of calcium oscillations (common to almost all cell types), including spatio-temporal behaviors such as waves. The second article uses, and expands on, much of this basic theory to show how the interaction of cytosolic calcium oscillators with membrane ion channels can result in highly complex patterns of electrical spiking. Through these examples one can see clearly how multiple oscillatory processes interact within a cell, and how mathematical methods can be used to understand such interactions better. The two reviews provide excellent examples of how mathematics and physiology can learn from each other, and work jointly towards a better understanding of complex cellular processes. Review 1: Richard Bertram, Joel Tabak, Wondimu Teka, Theodore Vo, Martin Wechselberger: Geometric Singular Perturbation Analysis of Bursting Oscillations in Pituitary Cells Review 2: Vivien Kirk, James Sneyd: Nonlinear Dynamics of Calcium