The book contains the lecture notes of a graduate level course, cross-listed for advanced undergraduate students, on the mathematical tools used in biomathematics and systems biology. The book contains general introductory material on: linear algebra, graph theory, network flows, probability and Markov chains, difference and differential equations, control theory. Later chapters focus on specific applications, such as epidemiological models, social dynamics, bionetworks, and quantitative systems pharmacology.

Gentle introduction of several math areas useful to systems biology but often spread across different books Rigorous and to-the-point math content with abundance of examples and exercises Several advanced chapters on specific applications, such as quantitative systems pharmacology

Autorentext

Benedetto Piccoli is University Professor and the Joseph and Loretta Lopez Chair Professor of Mathematics at Rutgers University - Camden. He also served as Vice Chancellor for Research and is currently chair of the Department of Mathematical Sciences. His research interests span various areas of applied mathematics, including control theory, traffic flow on networks, crowd dynamics, math finance and application to autonomous driving, population health and bio-medical systems. He is author of more than 350 research papers and 7 books and is the founding editor of Networks and Heterogeneous Media. Piccoli is the 2009 Fubini Prize recipient, Plenary speaker at ICIAM 2011, 2012 inaugural Fellow of American Mathematical Society, 2024 SIAM W.T. and Idalia Reid Prize recipient, and 2024 IEEE ITS Institutional Lead Award recipient for the CIRCLES consortium. He spent the 2023-24 AY visiting the Institute for Advanced Study in Princeton.

Ryan Weightman is a Presidential Postdoctoral Fellow at the Rutgers School of Public Health and Ph.D. graduate in Computational Biology and Applied Mathematics from Rutgers University–Camden. Based at the Environmental and Occupational Health Sciences Institute, he collaborates with interdisciplinary teams across mathematics and public health to develop mathematical models of infectious diseases and environmental exposures. He has co-authored multiple peer-reviewed publications in the areas of mathematics applied to traffic flow and infectious disease dynamics. Alongside his research, he has taught a broad spectrum of undergraduate mathematics courses, developed online curricula, and earned a New Jersey State Teaching Certificate, reflecting his commitment to both scholarship and education.

Inhalt

Basic notions and notations.- Linear Algebra.- Graphs.- Probability.- Difference and Differential Equations.- Control Theory.- Mathematical Epidemiology.- Social Dynamics.- Metabolic Networks.- Cancer therapies.- Additional Exercises.