By Raina Robeva

ISBN-10: 0128012137

ISBN-13: 9780128012130

Written via specialists in either arithmetic and biology, *Algebraic and Discrete Mathematical equipment for contemporary Biology* deals a bridge among math and biology, delivering a framework for simulating, examining, predicting, and modulating the habit of complicated organic structures. every one bankruptcy starts with a question from glossy biology, via the outline of definite mathematical equipment and concept applicable within the seek of solutions. each subject presents a fast-track pathway in the course of the challenge by way of providing the organic starting place, protecting the correct mathematical conception, and highlighting connections among them. a few of the initiatives and routines embedded in each one bankruptcy make the most of really expert software program, supplying scholars with much-needed familiarity and adventure with computing functions, serious elements of the "modern biology" ability set. This ebook is suitable for arithmetic classes resembling finite arithmetic, discrete constructions, linear algebra, abstract/modern algebra, graph idea, likelihood, bioinformatics, facts, biostatistics, and modeling, in addition to for biology classes similar to genetics, phone and molecular biology, biochemistry, ecology, and evolution.

- Examines major questions in glossy biology and their mathematical treatments
- Presents vital mathematical strategies and instruments within the context of crucial biology
- Features fabric of curiosity to scholars in either arithmetic and biology
- Presents chapters in modular structure so assurance needn't stick to the desk of Contents
- Introduces initiatives applicable for undergraduate research
- Utilizes freely available software program for visualisation, simulation, and research in sleek biology
- Requires no calculus as a prerequisite
- Provides an entire recommendations Manual
- Features a better half web site with supplementary resources

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**Additional resources for Algebraic and Discrete Mathematical Methods for Modern Biology**

**Example text**

The new ecology. Bioscience 1964;14:14–6. Odum HT, Odum EC. Modeling for all scales: an introduction to system simulation. San Diego, CA: Academic Press; 2000. Craige BJ. Eugene odum. Ecosystem ecologist and environmentalist. Athens, GA: The University of Georgia Press; 2001. Hagen J. An entangled bank: the origins of ecosystem ecology. New Brunswick, NJ: Rutgers University Press; 1992. Taylor P. T. Odum and the partial transformation of ecological metaphor after World War 2. J Hist Biol 1988;21:213–44.

3 A weighted food web. 3 Flow-Based Trophic Level Weighting the arcs of a food web or corresponding digraph gives new alternative definitions of trophic level that take these weights into account. One such definition is called the flow-based trophic level, or TL. 5. Flow-based trophic level (TL) is defined as: TL (species i) = 1+ (weight of each food source for i) × TL (food source j) = TL (i) = 1 + wij × TL (food source j) . Note that TL(primary producer) = 1. 3. 9, whereas TL (lizard) = 1 + 1 (1) = 2.

These are considered to be herbivores, or grazers. Animals that eat herbivores, or each other, are carnivores, or predators. Animals that eat both plants and other animals are omnivores. An animal at the very top of the food web is called a top predator. Through the various interactions in a food web, energy gets transferred from one organism to another. Food webs, through both direct and indirect interactions, describe the flow of energy through an ecosystem. By tracking the energy flow, you can derive where the energy from your last meal came from, and how many species contributed to your meal.

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