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Immune system modeling and analysis
The rapid development of new methods for immunological data collection – from multicolor flow cytometry, through single-cell imaging, to deep sequencing – presents us now, for the first time, with the ability to analyze and compare large amounts of immunological data in health, aging and disease. The exponential growth of these datasets, however, challenges the theoretical immunology community to develop methods for data organization and analysis. Furthermore, the need to test hypotheses regarding immune function, and generate predictions regarding the outcomes of medical interventions, necessitates the development of mathematical and computational models covering processes on multiple s...
ImmunoPhysics and ImmunoEngineering
ImmunoPhysics (ImmPhys) and ImmunoEngineering (ImmPhysEng), are two cross-disciplinary fields. ImmPhysEng aims to unravel quantitatively the immune-system function and regulation in health and disease. Whereas ImmPhys study and assess the physical basis of the immune response, ImmEng pursues its control and prediction. Ultimately, the overarching goal of these disciplines is to facilitate the development of therapeutic interventions to more precisely modulate and control the compromised immune response during diseases. Lately, these disciplines are becoming more popular and as such, the number of publications applying physical or engineering tools to understand the immune response is increasing. Nevertheless, there is still no scientific forum compiling the ImmPhysEng research breakthroughs. Possibly the biggest burden is to stimulate a fluent communication and syntony between a physicist or engineer and an immunologist.
Modeling Cellular Systems
This contributed volume comprises research articles and reviews on topics connected to the mathematical modeling of cellular systems. These contributions cover signaling pathways, stochastic effects, cell motility and mechanics, pattern formation processes, as well as multi-scale approaches. All authors attended the workshop on "Modeling Cellular Systems" which took place in Heidelberg in October 2014. The target audience primarily comprises researchers and experts in the field, but the book may also be beneficial for graduate students.
Noise in Spatially Extended Systems
Intended for graduates and researchers in physics, chemistry, biology, and applied mathematics, this book provides an up-to-date introduction to current research in fluctuations in spatially extended systems. It covers the theory of stochastic partial differential equations and gives an overview of the effects of external noise on dynamical systems with spatial degrees of freedom. Starting with a general introduction to noise-induced phenomena in dynamical systems, the text moves on to an extensive discussion of analytical and numerical tools needed to gain information from stochastic partial differential equations. It then turns to particular problems described by stochastic PDEs, covering a wide part of the rich phenomenology of spatially extended systems, such as nonequilibrium phase transitions, domain growth, pattern formation, and front propagation. The only prerequisite is a minimal background knowledge of the Langevin and Fokker-Planck equations.
A Dynamical Perspective on the ɸ4 Model
This book presents a careful selection of the most important developments of the \phi^4 model, offering a judicious summary of this model with a view to future prospects and the challenges ahead. Over the past four decades, the \phi^4 model has been the basis for a broad array of developments in the physics and mathematics of nonlinear waves. From kinks to breathers, from continuum media to discrete lattices, from collisions of solitary waves to spectral properties, and from deterministic to stochastic models of \phi^4 (and \phi^6, \phi^8, \phi^12 variants more recently), this dynamical model has served as an excellent test bed for formulating and testing the ideas of nonlinear science and solitary waves.
Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology
This book focuses on the modeling and mathematical analysis of stochastic dynamical systems along with their simulations. The collected chapters will review fundamental and current topics and approaches to dynamical systems in cellular biology. This text aims to develop improved mathematical and computational methods with which to study biological processes. At the scale of a single cell, stochasticity becomes important due to low copy numbers of biological molecules, such as mRNA and proteins that take part in biochemical reactions driving cellular processes. When trying to describe such biological processes, the traditional deterministic models are often inadequate, precisely because of th...
Nonlinear Science at the Dawn of the 21st Century
Nonlinear science is by now a well established field of research at the interface of many traditional disciplines and draws on the theoretical concepts developed in physics and mathematics. The present volume gathers the contributions of leading scientists to give the state of the art in many areas strongly influenced by nonlinear research, such as superconduction, optics, lattice dynamics, biology and biomolecular dynamics. While this volume is primarily intended for researchers working in the field care, has been taken that it will also be of benefit to graduate students or nonexpert scientist wishing to familiarize themselves with the current status of research.
The Molecular Mechanisms of Regulatory T cell Immunosuppression
Ever since Regulatory T cells (T-Regs) were first defined as peripheral CD4+ T cells that express the interleukin-2 (IL-2) receptor alpha chain (IL-2Ra), there have been intensive efforts to determine the molecular mechanisms whereby this minor subset of CD4+ T cells (~ 5-10%) nonspecifically suppresses all potential effector T cells, whether reactive to self or non-self antigens. Multiple possible molecular mechanisms have been implicated, including the scavenging of IL-2 via the expression of high densities of IL-2Rs, the inhibition of antigen presentation via CTLA-4 molecules leading to decreased IL-2 production, the activation of intracellular cAMP thereby suppressing both IL-2 productio...
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