[PDF] Mathematical Modelling In Plant Biology eBook

Author : Richard J. Morris
Publisher : Springer
Page : 219 pages
File Size : 40,49 MB
Release : 2018-11-05
Category : Science
ISBN : 3319990705

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Progress in plant biology relies on the quantification, analysis and mathematical modeling of data over different time and length scales. This book describes common mathematical and computational approaches as well as some carefully chosen case studies that demonstrate the use of these techniques to solve problems at the forefront of plant biology. Each chapter is written by an expert in field with the goal of conveying concepts whilst at the same time providing sufficient background and links to available software for readers to rapidly build their own models and run their own simulations. This book is aimed at postgraduate students and researchers working the field of plant systems biology and synthetic biology, but will also be a useful reference for anyone wanting to get into quantitative plant biology.

Author : J. H. M. Thornley
Publisher : CABI
Page : 924 pages
File Size : 22,83 MB
Release : 2007
Category : Technology & Engineering
ISBN : 085199010X

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Role of mathematical models; Dynamic deterministic models; Mathematical programming; Basic biological processes; Growth functions; Simple dynamic growth models; Simple ecological models; Envinment and weather; Plant and crop processes; Crop models; Crop husbandry; Plant diseases and pests; Animal processes; Animal organs; Whole-animal models; Animal products; Animal husbandry; Animal diseases; Solutions exercises; Mathematical glossary.

Author : J. H. M. Thornley
Publisher :
Page : 344 pages
File Size : 32,30 MB
Release : 1976
Category : Science
ISBN :

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Ideas and basic techniques; Some topics of general physiological importance; Light interception by plants and crops; Photosynthesis; Growth, energy, and respiration.

Author : Zhilan Feng
Publisher : CRC Press
Page : 240 pages
File Size : 19,58 MB
Release : 2017-09-07
Category : Mathematics
ISBN : 1498769187

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Mathematical Models of Plant-Herbivore Interactions addresses mathematical models in the study of practical questions in ecology, particularly factors that affect herbivory, including plant defense, herbivore natural enemies, and adaptive herbivory, as well as the effects of these on plant community dynamics. The result of extensive research on the use of mathematical modeling to investigate the effects of plant defenses on plant-herbivore dynamics, this book describes a toxin-determined functional response model (TDFRM) that helps explains field observations of these interactions. This book is intended for graduate students and researchers interested in mathematical biology and ecology.

Author : Sarah P. Otto
Publisher : Princeton University Press
Page : 745 pages
File Size : 41,50 MB
Release : 2011-09-19
Category : Science
ISBN : 1400840910

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Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-based models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own. The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and first-year calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate class-structured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction. Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists. A how-to guide for developing new mathematical models in biology Provides step-by-step recipes for constructing and analyzing models Interesting biological applications Explores classical models in ecology and evolution Questions at the end of every chapter Primers cover important mathematical topics Exercises with answers Appendixes summarize useful rules Labs and advanced material available

Author : Harvey J. Gold
Publisher : John Wiley & Sons
Page : 392 pages
File Size : 46,52 MB
Release : 1977
Category : Science
ISBN :

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The modeling process - an overview. Dimension and similarity. Probability models. Dynamic processes. Interacting dynamic processes. Feedback control and stability of biological systems. Curve fiting: estimating the parameters. Computing.

Author : Lee A. Segel
Publisher : SIAM
Page : 435 pages
File Size : 29,17 MB
Release : 2013-05-09
Category : Science
ISBN : 1611972493

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A textbook on mathematical modelling techniques with powerful applications to biology, combining theoretical exposition with exercises and examples.

Author : Elizabeth Spencer Allman
Publisher : Cambridge University Press
Page : 388 pages
File Size : 23,33 MB
Release : 2004
Category : Mathematics
ISBN : 9780521525862

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This introductory textbook on mathematical biology focuses on discrete models across a variety of biological subdisciplines. Biological topics treated include linear and non-linear models of populations, Markov models of molecular evolution, phylogenetic tree construction, genetics, and infectious disease models. The coverage of models of molecular evolution and phylogenetic tree construction from DNA sequence data is unique among books at this level. Computer investigations with MATLAB are incorporated throughout, in both exercises and more extensive projects, to give readers hands-on experience with the mathematical models developed. MATLAB programs accompany the text. Mathematical tools, such as matrix algebra, eigenvector analysis, and basic probability, are motivated by biological models and given self-contained developments, so that mathematical prerequisites are minimal.

Author : Leah Edelstein-Keshet
Publisher :
Page : 616 pages
File Size : 25,28 MB
Release : 1988
Category : Science
ISBN :

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The major aim of this book is to present instances of interaction between two major disciplines, biology and mathematics. The goal has been that of addressing a fairly wide audience. Biology students will find this text useful as a summary of modern mathematical methods currently used in modelling, and furthermore, applied mathematics students may benefit from examples of applications of mathematics to real-life problems. As little background as possible has been assumed throughout the book: prerequisites are basic calculus so that undergraduate students, as well as beginning graduate students, will find most of the material accessible.

Author : Louis J. Gross
Publisher : American Mathematical Soc.
Page : 284 pages
File Size : 26,7 MB
Release : 1986-12-31
Category :
ISBN : 9780821897126

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Distinguishing itself among other books on mathematics in plant biology, this book is unique in that it presents a broad overview of how plant biologists are currently utilizing mathematics in their research, and the only one to particularly emphasize plant ecology. Each article is unified by an attempt to tie models at one level of organization to an understanding at other levels. This approach strengthens the connections between theoretical development and observable biology, facilitating the testing of new predictions. Intended for mathematicians, plant biologists and ecologists alike, this book requires only a basic knowledge of differential equations, linear algebra and mathematical modeling; a knowledge of plant biology is helpful. Readers will gain a perspective on what types of biological systems can benefit from mathematical treatment and an appreciation of the current important problems in plant biology.