Explore and analyze the solutions of mathematical models from diverse disciplines As biology increasingly depends on data, algorithms, and models, it has become necessary to use a computing language, such as the user-friendly MATLAB, to focus more on building and analyzing models as opposed to configuring tedious calculations. Explorations of Mathematical Models in Biology with MATLAB provides an introduction to model creation using MATLAB, followed by the translation, analysis, interpretation, and observation of the models. With an integrated and interdisciplinary approach that embeds mathematical modeling into biological applications, the book illustrates numerous applications of mathematical techniques within biology, ecology, and environmental sciences. Featuring a quantitative, computational, and mathematical approach, the book includes: Examples of real-world applications, such as population dynamics, genetics, drug administration, interacting species, and the spread of contagious diseases, to showcase the relevancy and wide applicability of abstract mathematical techniques Discussion of various mathematical concepts, such as Markov chains, matrix algebra, eigenvalues, eigenvectors, first-order linear difference equations, and nonlinear first-order difference equations Coverage of difference equations to model a wide range of real-life discrete time situations in diverse areas as well as discussions on matrices to model linear problems Solutions to selected exercises and additional MATLAB codes Explorations of Mathematical Models in Biology with MATLAB is an ideal textbook for upper-undergraduate courses in mathematical models in biology, theoretical ecology, bioeconomics, forensic science, applied mathematics, and environmental science. The book is also an excellent reference for biologists, ecologists, mathematicians, biomathematicians, and environmental and resource economists.
A forensic scientist was called to investigate the case of a person found murdered in a room at an office building. She arrived at the scene and started her investigation by measuring the temperature of the body.
This book is based on a one semester course that the authors have been teaching for several years, and includes two sets of case studies.
Linear and non-linear models of populations, molecular evolution, phylogenetic tree construction, genetics, and infectious diseases are presented with minimal prerequisites.
Features Minimal pre-requisites beyond a solid background in calculus, such as a calculus I course.
This book on mathematical modeling of biological processes includes a wide selection of biological topics that demonstrate the power of mathematics and computational codes in setting up biological processes with a rigorous and predictive ...
298 Author Index Haberman, R., 115 Hadeler, K.P., 170, 284 Hartman, P., 89 Hasslacher, B., 165 Hastings, S., 161 Heasman, M., 148, 236, 243 Heathcote, H.W., 165 Herod, J.V., 285 Hirsch, 89 Hofer, T., 279 Holland, J., 196 Horn, H., ...
Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative.
For this new edition, author Edward Beltrami uses mathematical models that are simple, transparent, and verifiable.
Hovjat, S., and M. V. Kondratovich, Assay Migration Studies for In Vitro Diagnostic Devices: Guidance for ... Marques de S ́a, J. P., Applied Statistics, Using SPSS, STATISTICA, MATLAB, and R, Second Edition, Springer, Berlin, 2007.
Some of them are original models, newly developed for this book. Because MATLAB codes are embedded and explained throughout the book, it will be easy to catch up with the text.