Download or read book Mathematical Analysis of Complex Cellular Activity written by Richard Bertram and published by Springer. This book was released on 2015-10-09 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Mathematical Models of the Cell and Cell Associated Objects written by Viktor V. Ivanov and published by Elsevier. This book was released on 2006-05-10 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives the reader a survey of hundreds results in the field of the cell and cell associated objects modeling. Applications to modeling in the areas of AIDS, cancers and life longevity are investigated in this book. Introduces and proves fundamental properties of evolutionary systems on optimal distribution of their various resources on their internal and external functions Gives detailed analysis of applications to modeling AIDS, cancers, and life longevity Introducing and grounding the respective numerical algorithms and software Detailed analysis of hundreds of scientific works in the field of mathematical modeling of the cell and cell associated objects
Download or read book Biomedical Applications of Microfluidic Devices written by Michael R. Hamblin and published by Academic Press. This book was released on 2020-11-12 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biomedical Applications of Microfluidic Devices introduces the subject of microfluidics and covers the basic principles of design and synthesis of actual microchannels. The book then explores how the devices are coupled to signal read-outs and calibrated, including applications of microfluidics in areas such as tissue engineering, organ-on-a-chip devices, pathogen identification, and drug/gene delivery. This book covers high-impact fields (microarrays, organ-on-a-chip, pathogen detection, cancer research, drug delivery systems, gene delivery, and tissue engineering) and shows how microfluidics is playing a key role in these areas, which are big drivers in biomedical engineering research. This book addresses the fundamental concepts and fabrication methods of microfluidic systems for those who want to start working in the area or who want to learn about the latest advances being made. The subjects covered are also an asset to companies working in this field that need to understand the current state-of-the-art. The book is ideal for courses on microfluidics, biosensors, drug targeting, and BioMEMs, and as a reference for PhD students. The book covers the emerging and most promising areas of biomedical applications of microfluidic devices in a single place and offers a vision of the future. Covers basic principles and design of microfluidics devices Explores biomedical applications to areas such as tissue engineering, organ-on-a-chip, pathogen identification, and drug and gene delivery Includes chemical applications in organic and inorganic chemistry Serves as an ideal text for courses on microfluidics, biosensors, drug targeting, and BioMEMs, as well as a reference for PhD students
Download or read book Mathematical Models in Molecular Cellular Biology written by Lee A. Segel and published by CUP Archive. This book was released on 1980 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest in theoretical biology is rapidly growing and this 1981 book attempts to make the theory more accessible to experimentalists. Its primary purpose is to demonstrate to experimental molecular and cellular biologists the possible usefulness of mathematical models. Biologists with a basic command of calculus should be able to learn from the book what assumptions are implied by various types of equations, to understand in broad outline a number of major theoretical concepts, and to be aware of some of the difficulties connected with analytical and numerical solutions of mathematical problems. Thus they should be able to appreciate the significance of theoretical papers in their fields and to communicate usefully with theoreticians in the course of their work.
Download or read book Tutorials in Mathematical Biosciences III written by Avner Friedman and published by Springer Science & Business Media. This book was released on 2005-12-19 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Towards a Mathematical Theory of Complex Biological Systems written by C Bianca and published by World Scientific. This book was released on 2011-01-12 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph has the ambitious aim of developing a mathematical theory of complex biological systems with special attention to the phenomena of ageing, degeneration and repair of biological tissues under individual self-repair actions that may have good potential in medical therapy. The approach to mathematically modeling biological systems needs to tackle the additional difficulties generated by the peculiarities of living matter. These include the lack of invariance principles, abilities to express strategies for individual fitness, heterogeneous behaviors, competition up to proliferative and/or destructive actions, mutations, learning ability, evolution and many others. Applied mathematicians in the field of living systems, especially biological systems, will appreciate the special class of integro-differential equations offered here for modeling at the molecular, cellular and tissue scales. A unique perspective is also presented with a number of case studies in biological modeling. Contents:Looking for a Mathematical Theory of Biological SystemsOn the Complexity of Biological SystemsImmune System, Wound Healing Process, and System Biology:The Immune System: A Phenomenological OverviewWound Healing Process and Organ RepairFrom Levels of Biological Organization to System BiologyMathematical Tools:Mathematical Tools and StructuresMultiscale Modeling: Linking Molecular, Cellular, and Tissues ScalesApplications and Research Perspectives:A Model for the Malign Keloid Formation and Immune System CompetitionMacroscopic Models of Chemotaxis by KTAP Asymptotic MethodsLooking Ahead Readership: Researchers in mathematical modeling and biological systems. Keywords:Mathematical Theory;Biological Systems;SubsystemKey Features:Provides a new conceptual background to applied mathematicians involved in the challenging research field of living systems, and specifically biology systemsGives more accurate ODE, cellular-automata, and continuum models from the biological point of view
Download or read book Systems Biology written by Andreas Kremling and published by CRC Press. This book was released on 2013-11-12 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing on the latest research in the field, Systems Biology: Mathematical Modeling and Model Analysis presents many methods for modeling and analyzing biological systems, in particular cellular systems. It shows how to use predictive mathematical models to acquire and analyze knowledge about cellular systems. It also explores how the models are sy
Download or read book Computational Cell Biology written by Christopher P. Fall and published by Springer Science & Business Media. This book was released on 2007-06-04 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides an introduction to dynamic modeling in molecular cell biology, taking a computational and intuitive approach. Detailed illustrations, examples, and exercises are included throughout the text. Appendices containing mathematical and computational techniques are provided as a reference tool.
Download or read book Analysis of Complex Diseases written by PhD, Guanyu Wang and published by CRC Press. This book was released on 2013-12-18 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complex disease involves many etiological and risk factors operating at multiple levels-molecular, cellular, organismal, and environmental. The incidence of such diseases as cancer, obesity, and diabetes are increasing in occurrence, urging us to think fundamentally and use a broader perspective to identify their connection and revolutionize trea
Download or read book Modeling Dynamic Phenomena in Molecular and Cellular Biology written by Lee A. Segel and published by Cambridge University Press. This book was released on 1984-03-30 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dynamic development of various processes is a central problem of biology and indeed of all the sciences. The mathematics describing that development is, in general, complicated, because the models that are realistic are usually nonlinear. Consequently many biologists may not notice a possible application of theory. They may be unable to decide whether a particular model captures the essence of a system, or to appreciate that analysis of a model can reveal important aspects of biological problems and may even describe in detail how a system works. The aim of this textbook is to remedy the situation by adopting a general approach to model analysis and applying it several times to problems (drawn primarily from molecular and cellular biology) of gradually increasing biological and mathematical complexity. Although material of considerable sophistication is included, little mathematical background is required - only some exposure to elementary calculus; appendixes supply the necessary mathematics and the author concentrates on concepts rather than techniques. He also emphasizes the role of computers in giving a full picture of model behavior and complementing more qualitative analysis. Some problems suitable for computer analysis are also included. This is a class-tested textbook suitable for a one-semester course for advanced undergraduate and beginning graduate students in biology or applied mathematics. It can also be used as a source book for teachers and a reference for specialists.
Download or read book Molecular Biology of The Cell written by Bruce Alberts and published by . This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Individual Microbe Single Cell Analysis and Agent Based Modelling written by Johan H. J. Leveau and published by Frontiers Media SA. This book was released on 2019-02-19 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent technological advances in single-cell microbiology, using flow cytometry, microfluidics, x-ray fluorescence microprobes, and single-cell -omics, allow for the observation of individuals within populations. Simultaneously, individual-based models (or more generally agent-based models) allow for individual microbes to be simulated. Bridging these techniques forms the foundation of individual-based ecology of microbes (µIBE). µIBE has elucidated genetic and phenotypic heterogeneity that has important consequences for a number of human interests, including antibiotic or biocide resistance, the productivity and stability of industrial fermentations, the efficacy of food preservatives, and the potential of pathogens to cause disease. Individual-based models can help us to understand how these sets of traits of individual microbes influence the above. This eBook compiles all publications from a recent Research Topic in Frontiers in Microbiology. It features recent research where individual observational and/or modelling techniques are applied to gain unique insights into the ecology of microorganisms. The Research Topic “The Individual Microbe: Single-Cell Analysis and Agent-Based Modelling” arose from the 2016 @ASM conference of the same name hosted by the American Society for Microbiology at its headquarters in Washington, D.C. We are grateful to ASM for funding and hosting this conference.
Download or read book Biomedical Index to PHS supported Research written by and published by . This book was released on 1987 with total page 1398 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Hybrid Solutions for the Modelling of Complex Environmental Systems written by Christian E. Vincenot and published by Frontiers Media SA. This book was released on 2017-01-11 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systems studied in environmental science, due to their structure and the heterogeneity of the entities composing them, often exhibit complex dynamics that can only be captured by hybrid modeling approaches. While several concurrent definitions of “hybrid modeling” can be found in the literature, it is defined here broadly as the approach consisting in coupling existing modelling paradigms to achieve a more accurate or efficient representation of systems. The need for hybrid models generally arises from the necessity to overcome the limitation of a single modeling technique in terms of structural flexibility, capabilities, or computational efficiency. This book brings together experts in the field of hybrid modelling to demonstrate how this approach can address the challenge of representing the complexity of natural systems. Chapters cover applied examples as well as modeling methodology.
Download or read book The Federal Role in K 12 Mathematics Reform written by United States. Congress. House. Committee on Education and the Workforce. Subcommittee on Early Childhood, Youth, and Families and published by . This book was released on 2000 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Trends In Nano Materials Synthesis And Applications written by Tuba ÇAKICI and published by Efe Akademi Yayınları. This book was released on 2022-11-15 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: CONTENTS CHEMICAL SOLUTION SYNTHESIS TECHNIQUES OF NANOSTRUCTURED GAS SENSORS AND EFFECTS ON DETECTION PERFORMANCE Irmak KARADUMAN ER – Ahmad AJJAQ – Ali Orkun ÇAĞIRTEKİN – Selim ACAR CURRENT APPROACHES TO THE USE OF NANOPARTICLES IN REPRODUCTIVE BIOTECHNOLOGIES: SPERMATOLOGICAL RESEARCHES Ali Erdem ÖZTÜRK – Ali Doğan ÖMÜR NANOTECHNOLOGY IN VETERINARY MEDICINE Ahmet YILDIZ – Yunus Emre ATAY – Yaşar AKAR GREEN SYNTHESIS OF METAL NANOPARTICLES USING PLANT MEDIA Semra ÇİÇEK – Sevda IŞIK MECHANISMS OF NANOPARTICLES BIOSYNTHESIS BY MICROORGANISMS Murat ÖZDAL – Sümeyra GÜRKÖK NANO SYNTHESIS BY BACTERIA OF SELENIDE-BASED SEMICONDUCTOR COMPOUNDS AND DEVICE APPLICATIONS Tuba ÇAKICI GAS SENSOR APPLICATIONS OF METAL OXIDE IN NANO SIZE Sevda SARITAŞ – Erdal TURGUT STRUCTURAL AND GAS SENSOR PROPERTIES OF NANOSTRUCTURED NICKEL-CHROMIUM OXIDE (NiCr2O4) SEMICONDUCTORS Erdal TURGUT – Sevda SARITAŞ SYNTHESIS OF TRANSITION-METALOXIDE-BASED NANOMATERIALS BY SPUTTERING Günay MERHAN MUĞLU COPPER OXIDE BASED NANOSTRUCTURES FOR SOLAR CELLS Fevkani YILDIZ NANOSCIENCE VE MATHEMATICS APPLICATIONSS Emine TAYAN – Esra TAYAN NANOSCIENCE IN THE FOOD INDUSTRY AND ITS EFFECTS ON HEALTH Esra TAYAN – Emine TAYAN
Download or read book The Regulation of Cellular Systems written by Reinhart Heinrich and published by . This book was released on 2011-10-30 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:
