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Modeling Survival Data Using Frailty Models: Second Edition (Industrial and Applied Mathematics)

This book presents the basic concepts of survival analysis and frailty models, covering both fundamental and advanced topics. It focuses on applications of statistical tools in biology and medicine, highlighting the latest frailty-model methodologies and applications in these areas. After explaining the basic concepts of survival analysis, the book goes on to discuss shared, bivariate, and correlated frailty models and their applications. It also features nine datasets that have been analyzed using the R statistical package. Covering recent topics, not addressed elsewhere in the literature, this book is of immense use to scientists, researchers, students and teachers.

Modeling Techniques and Tools for Computer Performance Evaluation

Modeling the Electrochemo-poromechanics of Ionic Polymer Metal Composites and Cell Clusters (Springer Theses)

This book presents a novel continuum finite deformation framework addressing the complex interactions among electrostatics, species transport, and mechanics in solid networks immersed in a fluid phase of solvent and ions. Grounded on cutting-edge multiphysics theories for soft active materials, the proposed model is primarily applied to ionic polymer metal composites (IPMCs). First, the influence of shear deformation on the IPMC response is analyzed through semi-analytical solutions obtained via the method of matched asymptotic expansions. Second, the novel electrochemo-poromechanical theory is used to predict the curvature relaxation and electric discharge that are observed in IPMC actuation and sensing, respectively, under a sustained stimulus. This newly formulated theory is, in turn, applied to biological cell clusters. Here, important mechanical considerations are integrated into classical bioelectrical models, thus offering novel insights into the interplay of mechanical and electrical signaling in the coordination of developmental processes.

Modeling the Heart and the Circulatory System (MS&A #14)

The book comprises contributions by some of the most respected scientists in the field of mathematical modeling and numerical simulation of the human cardiocirculatory system. The contributions cover a wide range of topics, from the preprocessing of clinical data to the development of mathematical equations, their numerical solution, and both in-vivo and in-vitro validation. They discuss the flow in the systemic arterial tree and the complex electro-fluid-mechanical coupling in the human heart. Many examples of patient-specific simulations are presented. This book is addressed to all scientists interested in the mathematical modeling and numerical simulation of the human cardiocirculatory system.

Modeling the Injury Flow and Treatment after Major Earthquakes

This book discuss a series of earthquake emergency medical rescue complex models, which can provide theoretical support for medical disaster rescue work in the future. This book consists of three parts. The first part is an introduction (chapter 1) which makes an overview of the purpose, meaning, methods and relative theory using in the research. The second part (chapter 2 to 8) includes “casualty flow” related factors such as the occurrences of earthquake casualty, the Length of Stay among the Hospitalized Patients, the medical evacuation in earthquake and rescue force related factors such as the medical rescue forces allocation in earthquake, the organization and command of earthquake rescue forces, Location and Distribution of Medical Rescue Institutions and from peacetime to wartime in hospital. The third part (chapter 9) is a summary including conclusion and policy-making suggestion.

Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases

This volume summarizes the state-of-the-art in the fast growing research area of modeling the influence of information-driven human behavior on the spread and control of infectious diseases. In particular, it features the two main and inter-related “core” topics: behavioral changes in response to global threats, for example, pandemic influenza, and the pseudo-rational opposition to vaccines. In order to make realistic predictions, modelers need to go beyond classical mathematical epidemiology to take these dynamic effects into account.With contributions from experts in this field, the book fills a void in the literature. It goes beyond classical texts, yet preserves the rationale of many of them by sticking to the underlying biology without compromising on scientific rigor. Epidemiologists, theoretical biologists, biophysicists, applied mathematicians, and PhD students will benefit from this book. However, it is also written for Public Health professionals interested in understanding models, and to advanced undergraduate students, since it only requires a working knowledge of mathematical epidemiology.

Modeling the Transmission and Prevention of Infectious Disease (Advances in Environmental Microbiology #4)

This volume focuses on blocking disease transmission and the ecological perspective of pathogens and pathogenic processes. The chapters on blocking transmission cover the environmental safety of space flight, biocides and biocide resistance, as well as infection control in healthcare facilities. The book also offers insights into the ecological aspects of infectious disease, introducing the reader to the role of indigenous gut microbiota in maintaining human health and current discussions on environmentally encountered bacterial and fungal pathogens including species that variously cause the necrotizing skin disease Buruli ulcer and coccidioidomycosis. Further, it explores the influenza A virus as an example for understanding zoonosis. It is a valuable resource for microbiologists and biomedical scientists alike.

Modeling to Inform Infectious Disease Control

Effectively Assess Intervention Options for Controlling Infectious DiseasesOur experiences with the human immunodeficiency virus (HIV), severe acute respiratory syndrome (SARS), and Ebola virus disease (EVD) remind us of the continuing need to be vigilant against the emergence of new infectious diseases. Mathematical modeling is increasingly used i

Modeling Tumor Vasculature: Molecular, Cellular, and Tissue Level Aspects and Implications

To profoundly understand biology and harness its intricacies for human benefit and the mitigation of human harm requires cross-disciplinary approaches that incorporate sophisticated computational and mathematical modeling techniques. These integrative strategies are essential to achieve rapid and significant progress in issues, in health and disease, which span molecular, cellular and tissue levels. The use of mathematical models to describe various aspects of tumor growth has a very long history, dating back over six decades. Recently, however, experimental and computational advances have improved our in the understanding of how processes act at multiple scales to mediate the development of tumor vasculature and drive the advancement of cancer. This book will showcase the development and utilization of new computational and mathematical approaches to address multiscale challenges associated with tumor vascular development. In Part I: Cell Signaling and Molecular Aspects of Tumor Blood Vessel Formation, it will be come clear that mathematical modeling can help to biochemically and biomechanically phenotype one of the most important cell types involved in cancer progression: vascular endothelial cells. When subverted by the tumor modulated environment, vascular endothelial cells form a new vascular supply capable of nourishing and translocating cancer cells to other tissues. The models in Part I illustrate the importance of quantitative approaches for gaining a deeper understanding of how normal and abnormal aspects of signal integration culminate in the cell proliferation, migration, and survival decisions that result in pathological tumor angiogenesis. The focus of Part II is the angiogenesis cascade and all of its complexities. Successful angiogenesis is mediated by the intricate interplay between biochemical and biomechanical mechanisms, including cell-cell and cell-matrix interactions, cell surface receptor binding, and intracellular signal transduction. A major challenge facing the cancer research community is to integrate known information in a way that improves our understanding of the principal underpinnings driving tumor angiogenesis and that will advance efforts aimed at the development of new therapies for treating cancer. The chapters in Part II will highlight several mathematical and computational approaches for that can potentially address this challenge. While the first two thirds of the book’s chapters demonstrate how important insights can be gained by studying cell signaling and vascular morphology and function, the series of chapters in Part III: Whole Organ Modeling of Tumor Growth and Vasculature, will integrate vasculature development with tumor growth dynamics. These two processes strongly depend on one another in ways that can only be theoretically investigated by biophysical approaches that cut across several levels of biological organization and describe both the tumor and the developing vasculature as they co-evolve. The purpose of this edited volume is not to provide a comprehensive review of all modeling efforts that address tumor vascular modeling; instead, a variety of interesting and innovative mathematical modeling approaches for understanding the development and effects of tumor vasculature are highlighted in order to illustrate some of the emerging trends in the field.

Modellbildung mit GPSS-FORTRAN Version 3 (Fachberichte Simulation #3)

Modelle der Pathologischen Physiologie (Veröffentlichungen aus der Forschungsstelle für Theoretische Pathologie der Heidelberger Akademie der Wissenschaften)

Menschliches Leben erscheint in seinen natürlichen Grundlagen wesentlich bestimmt von der ästhetischen Grundfunktion der geistigen Haltung. An der Wirklichkeit des kranken Menschen gemessen ist die streng kausal-naturwissenschaftliche Medizin nur eine Methode von Verbindlichkeiten, aber nicht das Bild dessen, was wirklich ist. Ihre Geltung ist eine kritische, sie ist keine ontische. Richtigkeit und Wahrheit machen einen Unterschied. Wer sich im Sinne Hans Schaefers um die "Modelle der Pathologischen Physiologie" bemüht, arbeitet an der "ästhetischen Grundfunktion" seiner eigenen geistigen Haltung. Nur diese Tätigkeit macht unser Leben lebenswert.

Modelle in der Medizin: Theorie und Praxis 23. Jahrestagung der GMDS Köln, 9.–11. Oktober 1978 (Medizinische Informatik, Biometrie und Epidemiologie #22)

Modelle in der Medizin: Mit einer historischen Einleitung von Dietrich von Engelhardt (Sitzungsberichte der Heidelberger Akademie der Wissenschaften #1992 / 1)

Vorgelegt in der Sitzung vom 30. November 1991

Modellieren der Realität mit Mathematik

Die Simulation des menschlichen Herzens, die Vorhersage des morgigen Wetters, die Optimierung der Aerodynamik eines Segelboots, die Suche nach der idealen Garzeit für einen Hamburger: Bei der Lösung dieser Probleme können Kardiologen, Meteorologen, Sportler und Ingenieure auf mathematische Hilfe zählen. Dieses Buch führt Sie zur Entdeckung einer magischen, aus Gleichungen bestehenden Welt, die für eine Vielzahl von wichtigen Problemen unseres Lebens nützliche Antworten liefern können.Die Übersetzung wurde mit Hilfe von künstlicher Intelligenz durchgeführt. Eine anschließende menschliche Überarbeitung erfolgte vor allem in Bezug auf den Inhalt.

Modellierung und Simulation von Protein-Interaktionen am Beispiel von Wirts-Pathogen-Interaktionen (BestMasters)

Meik Kunz erforscht die Interaktion zwischen den Wachstumshormonen Cytokinin und Auxin und untersucht deren Zusammenspiel im Hinblick auf die pflanzliche Immunabwehr. Der Autor zeigt zudem mittels einer eigens entwickelten Methode die Möglichkeit auf, wie in einer Transkriptom-Interaktom-Analyse zentrale funktionelle Netzwerkknoten (sogenannte Hubproteine) einer Cytokinin-vermittelten Immunabwehr identifiziert werden können. Begleitend wurde eine für den Forschungsalltag zugeschnittene Datenbank zur Analyse von Protein-Interaktionen erstellt.

Modelling, Analysis and Optimization of Biosystems

In general, several mathematical models can be designed in order to describe a biological or medical process and there is no unique criterion which model gives the best description. This book presents several of these models and shows applications of them to different biological and medical problems. The book shows that operations research expertise is necessary in respect to modeling, analysis and optimization of biosystems.

Modelling and Control of Dialysis Systems: Volume 1: Modeling Techniques of Hemodialysis Systems (Studies in Computational Intelligence #404)

The book, to the best of the editor’s knowledge, is the first text of its kind that presents both the traditional and the modern aspects of ‘dialysis modeling and control’ in a clear, insightful and highly comprehensive writing style. It provides an in-depth analysis of the mathematical models and algorithms, and demonstrates their applications in real world problems of significant complexity. The material of this book can be useful to advanced undergraduate and graduate biomedical engineering students. This text provides an important focus on helping students understand how new concepts are related to and rely upon concepts previously presented. Also, researchers and practitioners in the field of dialysis, control systems, soft computing may benefit from it. The material is organized into 32 chapters.This book explains concepts in a clear, matter-of-fact style. In order to make the reader aware of the applied side of the subject, the book includes: Chapter openers with a chapter outline, chapter objectives, key terms list, and abstract. Solved numerical examples to illustrate the application of a particular concept, and also to encourage good problem-solving skills. More than 1000 questions to give the readers a better insight to the subject. Case studies to understand the significance of the joint usage of the dialysis modeling and control techniques in interesting problems of the real world. Summation and deepening of authors' works in recent years in the fields related. So the readers can get latest information, including latest research surveys and references related to the subjects through this book. It is hoped that through this book the reader will: Understand the fundamentals of dialysis systems and recognize when it is advantageous to use them. Gain an understanding of the wide range of dialysis modeling techniques Be able to use soft computing techniques in dialysis applications. Gain familiarity with online systems of dialysis and their applications. Recognize the relationship between conceptual understanding and problem-solving approaches. The editors would like to take this opportunity to thank all the authors for their contributions to this textbook. Without the hard work of our contributors, this book would have not been possible. The encouragement and patience of series Editor, Thomas Ditzinger is very much appreciated. Without his continuous help and assistance during the entire course of this project, the production of the book would have taken a great deal longer.

Modelling and Optimization of Biotechnological Processes: Artificial Intelligence Approaches (Studies in Computational Intelligence #15)

Mostindustrialbiotechnologicalprocessesareoperatedempirically.Oneofthe major di?culties of applying advanced control theories is the highly nonlinear nature of the processes. This book examines approaches based on arti?cial intelligencemethods,inparticular,geneticalgorithmsandneuralnetworks,for monitoring, modelling and optimization of fed-batch fermentation processes. The main aim of a process control is to maximize the ?nal product with minimum development and production costs. This book is interdisciplinary in nature, combining topics from biotechn- ogy, arti?cial intelligence, system identi?cation, process monitoring, process modelling and optimal control. Both simulation and experimental validation are performed in this study to demonstrate the suitability and feasibility of proposed methodologies. An online biomass sensor is constructed using a - current neural network for predicting the biomass concentration online with only three measurements (dissolved oxygen, volume and feed rate). Results show that the proposed sensor is comparable or even superior to other sensors proposed in the literature that use more than three measurements. Biote- nological processes are modelled by cascading two recurrent neural networks. It is found that neural models are able to describe the processes with high accuracy. Optimization of the ?nal product is achieved using modi?ed genetic algorithms to determine optimal feed rate pro?les. Experimental results of the corresponding production yields demonstrate that genetic algorithms are powerful tools for optimization of highly nonlinear systems. Moreover, a c- bination of recurrentneural networks and genetic algorithms provides a useful and cost-e?ective methodology for optimizing biotechnological processes.

Modelling Congenital Heart Disease: Engineering a Patient-specific Therapy

This book combines medicinal and engineering knowledge to present engineering modelling applications (mainly computational, but also experimental) in the context of facilitating a patient-centred approach to treating congenital heart disease (CHD). After introducing the basic concepts of engineering tools, it discusses modelling and the applications of engineering techniques (e.g. computational fluid dynamics, fluid-structure interaction, structural simulations, virtual surgery, advanced image analysis, 3D printing) in specific congenital heart diseases. It also offers a number of clinical case studies describing the applications in real-life clinical practice. The final section focuses on the importance of surgical training, counselling and patient communication. Considering the unique anatomical arrangement pre/post repair in CHD, as well as the different surgical strategy and device options (e.g. stents) for interventions, a patient-specific approach is certainly warranted in this area of medicine, and engineering is helping improve our understanding of individual patients and their particular anatomy and physiology. To reinforce the idea of a necessary dialogue between clinicians and engineers, this book has not only been edited by two cardiologists and two bioengineers, but each chapter has been written by a clinician and an engineer, incorporating both voices in the description of state-of-the-art models for different CHDs.

Modelling in Public Health Research: How Mathematical Techniques Keep Us Healthy

This book analyses the development and use of mathematical models in public health research and policy. By introducing a life cycle metaphor, the author provides a unique perspective on how mathematical modelling techniques have increased our understanding of the governance of infectious risks in society.

Modelling Insect Populations in Agricultural Landscapes (Entomology in Focus #8)

This book combines chapters emphasising mathematical, statistical, and computational modelling applied to insect populations, particularly pests or natural enemies in agricultural landscapes. There is a gap between agricultural pest experimentation and ecological theory, which requires a connection to supply models with laboratory, and field estimates and projects receiving inputs and insights from models. In addition, decision-making in entomology with respect to pest management and biological conservation of natural enemies has been supported by results obtained from different computational and mathematical approaches. This book brings contemporary issues related to optimization in spatially structured landscapes, insect movement, stability analysis, game theory, machine learning, computer vision, Bayesian modelling, as well as other frameworks.

Modelling Interactions Between Vector-Borne Diseases and Environment Using GIS

Master GIS Applications on Modelling and Mapping the Risks of DiseasesInfections transmitted by mosquitoes, ticks, triatomine bugs, sandflies, and black flies cause significant rates of death and disease, especially in developing countries. Why are certain places more susceptible to vector-borne diseases? Modelling Interactions Between Vector-Borne

Modelling Interactions Between Vector-Borne Diseases and Environment Using GIS

Master GIS Applications on Modelling and Mapping the Risks of DiseasesInfections transmitted by mosquitoes, ticks, triatomine bugs, sandflies, and black flies cause significant rates of death and disease, especially in developing countries. Why are certain places more susceptible to vector-borne diseases? Modelling Interactions Between Vector-Borne

Modelling Longitudinal and Spatially Correlated Data (Lecture Notes in Statistics #122)

Correlated data arise in numerous contexts across a wide spectrum of subject-matter disciplines. Modeling such data present special challenges and opportunities that have received increasing scrutiny by the statistical community in recent years. In October 1996 a group of 210 statisticians and other scientists assembled on the small island of Nantucket, U. S. A. , to present and discuss new developments relating to Modelling Longitudinal and Spatially Correlated Data: Methods, Applications, and Future Direc­ tions. Its purpose was to provide a cross-disciplinary forum to explore the commonalities and meaningful differences in the source and treatment of such data. This volume is a compilation of some of the important invited and volunteered presentations made during that conference. The three days and evenings of oral and displayed presentations were arranged into six broad thematic areas. The session themes, the invited speakers and the topics they addressed were as follows: • Generalized Linear Models: Peter McCullagh-"Residual Likelihood in Linear and Generalized Linear Models" • Longitudinal Data Analysis: Nan Laird-"Using the General Linear Mixed Model to Analyze Unbalanced Repeated Measures and Longi­ tudinal Data" • Spatio---Temporal Processes: David R. Brillinger-"Statistical Analy­ sis of the Tracks of Moving Particles" • Spatial Data Analysis: Noel A. Cressie-"Statistical Models for Lat­ tice Data" • Modelling Messy Data: Raymond J. Carroll-"Some Results on Gen­ eralized Linear Mixed Models with Measurement Error in Covariates" • Future Directions: Peter J.

Modelling of Complex Signals in Nerves

This book describes fundamental physical principles, together with their mathematical formulations, for modelling the propagation of signals in nerve fibres. Above all, it focuses on the complex electro-mechano-thermal process that produces an ensemble of waves composed of several components, besides the action potential. These components include mechanical waves in the biomembrane and axoplasm, together with the temperature change. Pursuing a step-by-step approach, the content moves from physics and mathematics, to describing the physiological effects, and finally to modelling the coupling effects. The assumptions and hypotheses used for modelling, as well as selected helpful concepts from continuum mechanics, are systematically explained, and the modelling is illustrated using the outcomes of numerical simulation. The book is chiefly intended for researchers and graduate students, providing them with a detailed description of how to model the complex physiological processes in nerve fibres.