Mathematical Concepts and Methods in Modern Biology

Using Modern Discrete Models
Erscheinungsjahr 2013
ISBN: 978-0-12-415780-4
Verlag: Elsevier Science

Buch, Englisch, 372 Seiten, Format (B × H): 197 mm x 241 mm, Gewicht: 933 g

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.

Zielgruppe

<p>Researchers, educators, and students engaged in Biological Research and Mathematics</p>

Autoren/Hrsg.

Robeva, Raina

Hodge, Terrell

Fachgebiete

• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik

Inhaltsverzeichnis

Preface by Raina Robeva and Terrell Hodge1. Mechanisms for Gene Regulation: A Boolean Network Model of the Lac Operon2. Epigenetic Features of the Lac Operon: Comparing Boolean and Ordinary Differential Equations Models3. Inferring the Topology of Gene Regulatory Networks: An Algebraic Approach to Reverse Engineering4. Global Dynamics Emerging from Local Interactions: Agent-based Modeling for the Life Sciences5. Agent-based Models and Optimal Control in Biology: An Algebraic Approach6. Neuronal Networks: A Discrete Model7. Predicting Plant Population Growth: Modeling with Projection Matrices8. Metabolic Pathways Analysis: A Linear Algebraic Approach9. Identifying CpG Islands: Sliding Windows and Hidden Markov Models10. Codon Usage: From Elementary Probability to Algebraic Geometry11. Phylogenetic Tree Reconstruction: Geometric Approaches

Über Autor(innen)

Robeva, Raina
Raina Robeva was born in Sofia, Bulgaria. She holds a PhD in Mathematics from the University of Virginia and has broad research interests spanning theoretical mathematics, applied probability, and systems biology. Robeva is the founding Chief Editor of the journal Frontiers in Systems Biology and the lead author/editor of the books An Invitation to Biomathematics (2008), Mathematical Concepts and Methods in Modern Biology: Using Modern Discrete Models (2013), and Algebraic and Discrete Mathematical Methods for Modern Biology (2015), all published by Academic Press. She is Professor of Mathematical Sciences and Director of the Center for Science and Technology in Society at Sweet Briar College.