|
Showing 1 - 3 of
3 matches in All Departments
Expositions of quantitative methods and algorithms for biological
data tend to be scattered through the technical literature, often
across different fields, and are thus awkward to assimilate. This
book documents one example of this: the relationship between the
cell biology idea of metabolic networks and the mathematical idea
of polyhedral cones. Such cones can be used to describe the set of
steady-state admissible fluxes through metabolic networks, and
consequently have become important constructs in the field of
microbiology. Via convex cone concepts, fundamental objects called
elementary flux modes (EFMs) can be described mathematically. The
fundamental algorithm of this relationship is the double
description method, which has an extended history in the field of
computational geometry. This monograph addresses its relatively
recent use in the context of cellular metabolism. Metabolic
Networks, Elementary Flux Modes, and Polyhedral Cones: Addresses
important topics in the mathematical description of metabolic
activity that have not previously appeared in unified form.
Introduces a central topic of mathematical systems biology in a
manner accessible to nonmathematicians with some mathematical and
computational experience. Presents a careful study of the double
description method, a fundamental algorithm of computational
geometry, in the context of metabolic analysis. The core audience
for this book includes mathematicians, engineers, and biologists
interested in cell metabolism. Computational geometers will also
find it of interest.
The year 2018 marked the 75th anniversary of the founding of
Mathematics of Computation, one of the four primary research
journals published by the American Mathematical Society and the
oldest research journal devoted to computational mathematics. To
celebrate this milestone, the symposium “Celebrating 75 Years of
Mathematics of Computation” was held from November 1–3, 2018,
at the Institute for Computational and Experimental Research in
Mathematics (ICERM), Providence, Rhode Island. The sixteen papers
in this volume, written by the symposium speakers and editors of
the journal, include both survey articles and new contributions. On
the discrete side, there are four papers covering topics in
computational number theory and computational algebra. On the
continuous side, there are twelve papers covering topics in machine
learning, high dimensional approximations, nonlocal and fractional
elliptic problems, gradient flows, hyperbolic conservation laws,
Maxwell's equations, Stokes's equations, a posteriori error
estimation, and iterative methods. Together they provide a snapshot
of significant achievements in the past quarter century in
computational mathematics and also in important current trends.
|
|