Laboratory Manual of Biomathematics is a companion to the textbook An Invitation to Biomathematics. This laboratory manual expertly aids students who wish to gain a deeper understanding of solving biological issues with computer programs. It provides hands-on exploration of model development, model validation, and model refinement, enabling students to truly experience advancements made in biology by mathematical models. Each of the projects offered can be used as individual module in traditional biology or mathematics courses such as calculus, ordinary differential equations, elementary probability, statistics, and genetics. Biological topics include: Ecology, Toxicology, Microbiology, Epidemiology, Genetics, Biostatistics, Physiology, Cell Biology, and Molecular Biology . Mathematical topics include Discrete and continuous dynamical systems, difference equations, differential equations, probability distributions, statistics, data transformation, risk function, statistics, approximate entropy, periodic components, and pulse-detection algorithms. It includes more than 120 exercises derived from ongoing research studies. This text is designed for courses in mathematical biology, undergraduate biology majors, as well as general mathematics. The reader is not expected to have any extensive background in either math or biology.

Laboratory Manual of Biomathematics

Science & Math

Kirkwood, James R.

Robeva, Raina

Biological Sciences

Academic Press

Mathematical Concepts and Methods in Modern Biology offers a quantitative framework for analyzing, predicting, and modulating the behavior of complex biological systems. The book presents important mathematical concepts, methods and tools in the context of essential questions raised in modern biology. Designed around the principles of project-based learning and problem-solving, the book considers biological topics such as neuronal networks, plant population growth, metabolic pathways, and phylogenetic tree reconstruction. The mathematical modeling tools brought to bear on these topics include Boolean and ordinary differential equations, projection matrices, agent-based modeling and several algebraic approaches. Heavy computation in some of the examples is eased by the use of freely available open-source software. <ul> <li>Features self-contained chapters with real biological research examples using freely available computational tools</li> <li>Spans several mathematical techniques at basic to advanced levels&nbsp;</li> <li>Offers broad perspective on the uses of algebraic geometry/polynomial algebra in molecular systems biology</li> </ul>

Mathematical Concepts and Methods in Modern Biology: Using Modern Discrete Models

An Invitation to Biomathematics

Computers & Technology

Johnson, Michael L.

Davies, Robin Lee

Farhy, Leon

Kovatchev, Boris P.

Straume, Martin

Software

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