Aimed at postgraduate students in a variety of biology-related disciplines, this volume presents a collection of mathematical and computational single-cell-based models and their application.

Author: Alexander Anderson

Publisher: Springer Science & Business Media

ISBN: 9783764381011

Category: Mathematics

Page: 346

View: 614

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Aimed at postgraduate students in a variety of biology-related disciplines, this volume presents a collection of mathematical and computational single-cell-based models and their application. The main sections cover four general model groupings: hybrid cellular automata, cellular potts, lattice-free cells, and viscoelastic cells. Each section is introduced by a discussion of the applicability of the particular modelling approach and its advantages and disadvantages, which will make the book suitable for students starting research in mathematical biology as well as scientists modelling multicellular processes.

Alexander Anderson, Katarzyna Rejniak. Single-Cell-Based Models in Biology and Medicine ed. by A.R.A. Anderson, M.A.J. Chaplain, K.A. Rejniak Mathematics and Biosciences in Interaction, ...

Author: Alexander Anderson

Publisher: Springer Science & Business Media

ISBN: 9783764381233

Category: Mathematics

Page: 349

View: 579

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Aimed at postgraduate students in a variety of biology-related disciplines, this volume presents a collection of mathematical and computational single-cell-based models and their application. The main sections cover four general model groupings: hybrid cellular automata, cellular potts, lattice-free cells, and viscoelastic cells. Each section is introduced by a discussion of the applicability of the particular modelling approach and its advantages and disadvantages, which will make the book suitable for students starting research in mathematical biology as well as scientists modelling multicellular processes.

Aimed at postgraduate students in a variety of biology-related disciplines, this volume presents a collection of mathematical and computational single-cell-based models and their application.

Author: Alexander Anderson

Publisher: Birkhäuser

ISBN: 3764391839

Category: Mathematics

Page: 349

View: 667

Read Now »

Aimed at postgraduate students in a variety of biology-related disciplines, this volume presents a collection of mathematical and computational single-cell-based models and their application. The main sections cover four general model groupings: hybrid cellular automata, cellular potts, lattice-free cells, and viscoelastic cells. Each section is introduced by a discussion of the applicability of the particular modelling approach and its advantages and disadvantages, which will make the book suitable for students starting research in mathematical biology as well as scientists modelling multicellular processes.

(Image reproduced from “Single Cell-Based Models in Biology and Medicine,” A. Anderson, M. Chaplain, and K. Rejniak, Eds., 2007, Birkhaüser.) Figure 3 Cell growth is modeled using element replication in the cell core.

Author:

Publisher: Academic Press

ISBN: 0080556531

Category: Science

Page: 604

View: 745

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Mathematical and computational biology is playing an increasingly important role in the biological sciences. This science brings forward unique challenges, many of which are, at the moment, beyond the theoretical techniques available. Developmental biology, due to its complexity, has lagged somewhat behind its sister disciplines (such as molecular biology and population biology) in making use of quantitative modeling to further biological understanding. This volume comprises work that is among the best developmental modeling available and we feel it will do much to remedy this situation. This book is aimed at all those with an interest in the interdisciplinary field of computer and mathematical modeling of multi-cellular and developmental systems. It is also a goal of the Editors to attract more developmental biologists to consider integrating modeling components into their research. Most importantly, this book is intended to serve as a portal into this research area for younger scientists – especially graduate students and post-docs, from both biological and quantitative backgrounds. * Articles written by leading exponents in the field * Provides techniques to address multiscale modeling * Coverage includes a wide spectrum of modeling approaches * Includes descriptions of the most recent advances in the field

Anderson, A.R.A., Chaplain, M.A.J., Rejniak, K.A.: Single-cell-based models in biology and medicine. Mathematics and Biosciences in Interaction. Birkhäuser-Verlag, Basel (2007) 3. Cohen, J.E.: Mathematics is biology's next microscope, ...

Author: Alessandra Celletti

Publisher: Springer Science & Business Media

ISBN: 9783319026572

Category: Science

Page: 174

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In 2013 several scientific activities have been devoted to mathematical researches for the study of planet Earth. The current volume presents a selection of the highly topical issues presented at the workshop “Mathematical Models and Methods for Planet Earth”, held in Roma (Italy), in May 2013. The fields of interest span from impacts of dangerous asteroids to the safeguard from space debris, from climatic changes to monitoring geological events, from the study of tumor growth to sociological problems. In all these fields the mathematical studies play a relevant role as a tool for the analysis of specific topics and as an ingredient of multidisciplinary problems. To investigate these problems we will see many different mathematical tools at work: just to mention some, stochastic processes, PDE, normal forms, chaos theory.

The mathematical model permits to take into account biological, chemical, and physical aspects. For models involving sufficiently small ... Single-Cell-Based Models in Biology and Medicine (Basel: Birkhäuser). Drasdo, D., Hoehme, S., ...

Author: Dieter Häussinger

Publisher: Walter de Gruyter

ISBN: 9783110250787

Category: Science

Page: 233

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understanding the mechanisms involved in liver regeneration is of crucial importance for clinical medicine, not only regarding carcinogenesis and diabetes treatment, but also for the use of stem cells for cell therapy and liver surgery. This graduate-level text provides an overview of the current state of knowledge of the molecular mechanisms of liver regeneration. Hepatic stem cells are introduced and the important players involved in regeneration such as oval cells, bone marrow and stellate cells are reviewed. The cell signaling pathways that initiate liver regeneration and regulate the switch between proliferation and apoptosis are presented and the role of liver stem cells in tumorigenesis is discussed. The book also treats the epigenetic regulation of liver stem cells and the roles of inflammation and angiogenesis in liver regeneration. This compact overview of the fascinating regenerative capacity of the liver will be of interest to graduate students and post-docs in molecular biology, biochemistry and medicine.

Biophysical Journal, 109(7), 1347–1357. https://doi.org/10.1016/j.bpj.2015.08.003.26445436. PMC4601048. Anderson, A. R., Chaplain, M. A. J., & Rejniak, K. A. (2007). Single-Cell-Based Models in Biology and Medicine. Birkhauser.

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Publisher: Elsevier

ISBN: 9780128051443

Category: Science

Page: 2054

View: 783

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Encyclopedia of Biomedical Engineering is a unique source for rapidly evolving updates on topics that are at the interface of the biological sciences and engineering. Biomaterials, biomedical devices and techniques play a significant role in improving the quality of health care in the developed world. The book covers an extensive range of topics related to biomedical engineering, including biomaterials, sensors, medical devices, imaging modalities and imaging processing. In addition, applications of biomedical engineering, advances in cardiology, drug delivery, gene therapy, orthopedics, ophthalmology, sensing and tissue engineering are explored. This important reference work serves many groups working at the interface of the biological sciences and engineering, including engineering students, biological science students, clinicians, and industrial researchers. Provides students with a concise description of the technologies at the interface of the biological sciences and engineering Covers all aspects of biomedical engineering, also incorporating perspectives from experts working within the domains of biomedicine, medical engineering, biology, chemistry, physics, electrical engineering, and more Contains reputable, multidisciplinary content from domain experts Presents a ‘one-stop’ resource for access to information written by world-leading scholars in the field

Cytometry Part A: The Journal of the International Society for Analytical Cytology. 2006;69(7): 704-710 [78] Alexander Anderson and Katarzyna Rejniak. Single-Cell-Based Models in Biology and Medicine.

Author: Viduranga Yashasvi Waisundara

Publisher: BoD – Books on Demand

ISBN: 9781839625190

Category: Science

Page: 240

View: 482

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Lipids are one of the most important biomolecules and, given their relationship with several non-communicable diseases at large, this makes them significant to be studied both biochemically and clinically. As the title of the book suggests, apolipoproteins, triglycerides, and cholesterol are focused herein with fresh perspectives and novel insights, while certain overlooked areas are given their due attention. Although these three terms are very broad, the book aims at primarily serving as an update to existing knowledge. It is hoped that the readers will benefit from this book in advancing their understanding about the biochemical pathways, clinical applications, and remedial action in terms of ensuring health and wellbeing, as well as in identifying gaps that would help set the directions of scientific investigations in the future.

Center-based single-cell models: an approach to multi-cellular organization based on a conceptual analogy to colloidal particles, in Single-Cell-Based Models in Biology and Medicine (Anderson AA, Chaplain MJ and Rejniak K, eds.) ...

Author: Bernard Querleux

Publisher: CRC Press

ISBN: 9789814463850

Category: Medical

Page: 558

View: 243

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The accessibility of the skin in vivo has resulted in the development of non-invasive methods in the past 40 years that offer accurate measurements of skin properties and structures from microscopic to macroscopic levels. However, the mechanisms involved in these properties are still only partly understood. Similar to many other domains, including biomedical engineering, numerical modeling has appeared as a complementary key actor for improving our knowledge of skin physiology. This book presents, for the first time, the contributions that focus on scientific computing and numerical modeling to offer a deeper understanding of the mechanisms involved in skin physiology. The book is structured around some skin properties and functions, including optical and biomechanical properties and skin barrier function and homeostasis, with—for each of them—several chapters that describe either biological or physical models at different scales.

Single-Cell-Based Models in Biology and Medicine, Mathematics and Biosciences in Interactions. Birkaiiser, Basel (Switzerland). Anderson, A. R. A., Weaver, A., Commmings, P., Quaranta, V., 2006. Tumor morphology and phenotypic evolution ...

Author: Marco Scianna

Publisher: CRC Press

ISBN: 9781466514782

Category: Mathematics

Page: 303

View: 306

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A flexible, cell-level, and lattice-based technique, the cellular Potts model accurately describes the phenomenological mechanisms involved in many biological processes. Cellular Potts Models: Multiscale Extensions and Biological Applications gives an interdisciplinary, accessible treatment of these models, from the original methodologies to the latest developments. The book first explains the biophysical bases, main merits, and limitations of the cellular Potts model. It then proposes several innovative extensions, focusing on ways to integrate and interface the basic cellular Potts model at the mesoscopic scale with approaches that accurately model microscopic dynamics. These extensions are designed to create a nested and hybrid environment, where the evolution of a biological system is realistically driven by the constant interplay and flux of information between the different levels of description. Through several biological examples, the authors demonstrate a qualitative and quantitative agreement with the relative experimental data. The cellular Potts model is increasingly being used for the mathematical modeling of a wide range of biological phenomena, including wound healing, tumor growth, and cancer cell migration. This book shows how the cellular Potts model can be used as a framework for model building and how extended models can achieve even better biological practicality, accuracy, and predictive power.