Mathematical Models In Developmental Biology
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| Author | : Jerome K. Percus |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 265 |
| Release | : 2015-06-19 |
| Genre | : Mathematics |
| ISBN | : 147041080X |
Download Mathematical Models in Developmental Biology Book in PDF, Epub and Kindle
The path from relatively unstructured egg to full organism is one of the most fascinating trajectories in the biological sciences. Its complexity calls for a very high level of organization, with an array of subprocesses in constant communication with each other. These notes introduce an interleaved set of mathematical models representative of research in the last few decades, as well as the techniques that have been developed for their solution. Such models offer an effective way of incorporating reliable data in a concise form, provide an approach complementary to the techniques of molecular biology, and help to inform and direct future research. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.
| Author | : Jerome K. Percus |
| Publisher | : |
| Total Pages | : |
| Release | : 2015 |
| Genre | : SCIENCE |
| ISBN | : 9781470423513 |
Download Mathematical Models in Developmental Biology Book in PDF, Epub and Kindle
The path from relatively unstructured egg to full organism is one of the most fascinating trajectories in the biological sciences. Its complexity calls for a very high level of organization, with an array of subprocesses in constant communication with each other. These notes introduce an interleaved set of mathematical models representative of research in the last few decades, as well as the techniques that have been developed for their solution. Such models offer an effective way of incorporating reliable data in a concise form, provide an approach complementary to the techniques of molecular biology, and help to inform and direct future research
| Author | : Valeria Zazzu |
| Publisher | : Springer |
| Total Pages | : 207 |
| Release | : 2015-11-26 |
| Genre | : Mathematics |
| ISBN | : 3319234978 |
Download Mathematical Models in Biology Book in PDF, Epub and Kindle
This book presents an exciting collection of contributions based on the workshop “Bringing Maths to Life” held October 27-29, 2014 in Naples, Italy. The state-of-the art research in biology and the statistical and analytical challenges facing huge masses of data collection are treated in this Work. Specific topics explored in depth surround the sessions and special invited sessions of the workshop and include genetic variability via differential expression, molecular dynamics and modeling, complex biological systems viewed from quantitative models, and microscopy images processing, to name several. In depth discussions of the mathematical analysis required to extract insights from complex bodies of biological datasets, to aid development in the field novel algorithms, methods and software tools for genetic variability, molecular dynamics, and complex biological systems are presented in this book. Researchers and graduate students in biology, life science, and mathematics/statistics will find the content useful as it addresses existing challenges in identifying the gaps between mathematical modeling and biological research. The shared solutions will aid and promote further collaboration between life sciences and mathematics.
| Author | : Philip K. Maini |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 327 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461301335 |
Download Mathematical Models for Biological Pattern Formation Book in PDF, Epub and Kindle
This 121st IMA volume, entitled MATHEMATICAL MODELS FOR BIOLOGICAL PATTERN FORMATION is the first of a new series called FRONTIERS IN APPLICATION OF MATHEMATICS. The FRONTIERS volumes are motivated by IMA pro grams and workshops, but are specially planned and written to provide an entree to and assessment of exciting new areas for the application of mathematical tools and analysis. The emphasis in FRONTIERS volumes is on surveys, exposition and outlook, to attract more mathematicians and other scientists to the study of these areas and to focus efforts on the most important issues, rather than papers on the most recent research results aimed at an audience of specialists. The present volume of peer-reviewed papers grew out of the 1998-99 IMA program on "Mathematics in Biology," in particular the Fall 1998 em phasis on "Theoretical Problems in Developmental Biology and Immunol ogy." During that period there were two workshops on Pattern Formation and Morphogenesis, organized by Professors Murray, Maini and Othmer. James Murray was one of the principal organizers for the entire year pro gram. I am very grateful to James Murray for providing an introduction, and to Philip Maini and Hans Othmer for their excellent work in planning and preparing this first FRONTIERS volume. I also take this opportunity to thank the National Science Foundation, whose financial support of the IMA made the Mathematics in Biology pro gram possible.
| Author | : Leah Edelstein-Keshet |
| Publisher | : SIAM |
| Total Pages | : 629 |
| Release | : 1988-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780898719147 |
Download Mathematical Models in Biology Book in PDF, Epub and Kindle
Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology. A favorite in the mathematical biology community, it shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions. Connections are made between diverse biological examples linked by common mathematical themes. A variety of discrete and continuous ordinary and partial differential equation models are explored. Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative. Audience: the book does not assume too much background knowledge--essentially some calculus and high-school algebra. It was originally written with third- and fourth-year undergraduate mathematical-biology majors in mind; however, it was picked up by beginning graduate students as well as researchers in math (and some in biology) who wanted to learn about this field.
| Author | : Lee A. Segel |
| Publisher | : SIAM |
| Total Pages | : 435 |
| Release | : 2013-05-09 |
| Genre | : Science |
| ISBN | : 1611972493 |
Download A Primer in Mathematical Models in Biology Book in PDF, Epub and Kindle
A textbook on mathematical modelling techniques with powerful applications to biology, combining theoretical exposition with exercises and examples.
| Author | : |
| Publisher | : |
| Total Pages | : |
| Release | : 1978 |
| Genre | : |
| ISBN | : |
Download Mathematical Models in Developmental Biology Book in PDF, Epub and Kindle
| Author | : |
| Publisher | : Academic Press |
| Total Pages | : 605 |
| Release | : 2007-12-18 |
| Genre | : Science |
| ISBN | : 0080556531 |
Download Multiscale Modeling of Developmental Systems Book in PDF, Epub and Kindle
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
| Author | : Lee A. Segel |
| Publisher | : CUP Archive |
| Total Pages | : 776 |
| Release | : 1980 |
| Genre | : Mathematics |
| ISBN | : 9780521229258 |
Download Mathematical Models in Molecular Cellular Biology Book in PDF, Epub and Kindle
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.
| Author | : Fernando Giráldez |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 137 |
| Release | : 2009 |
| Genre | : Mathematics |
| ISBN | : 0821846639 |
Download Mathematics, Developmental Biology and Tumour Growth Book in PDF, Epub and Kindle
Developmental biology and tumour growth are two important areas of current research where mathematics increasingly provides powerful new techniques and insights. The unfolding complexity of living structures from egg to embryo gives rise to a number of difficult quantitative problems that are ripe for mathematical models and analysis. Understanding this early development process involves the study of pattern formation, which mathematicians view through the lens of dynamical systems. This book addresses several issues in developmental biology, including Notch signalling pathway integration and mesenchymal compartment formation. Tumour growth is one of the primary challenges of cancer research. Its study requires interdisciplinary approaches involving the close collaboration of mathematicians, biologists and physicians. The summer school addressed angiogenesis, modelling issues arising in radiotherapy, and tumour growth viewed from the individual cell and the relation to a multiphase-fluid flow picture of that process. This book is suitable for researchers, graduate students, and advanced undergraduates interested in mathematical methods of developmental biology or tumour growth.
