|
Showing 1 - 2 of
2 matches in All Departments
This book contains recent research in mathematical and analytical
studies on diatoms. These studies reflect the complex and intricate
nature of the problems being analyzed and the need to use
mathematics as an aid in finding solutions. Diatoms are important
components of marine food webs, the silica and carbon cycles,
primary productivity, and carbon sequestration. Their uniqueness as
glass-encased unicells and their presence throughout geologic
history exemplify the need to better understand such organisms.
Explicating the role of diatoms in the biological world is no more
urgent than their role as environmental and climate indicators, and
as such, is aided by the mathematical studies in this book. This
volume contains twelve original research papers as chapters.
Macroevolutionary science topics covered are morphological
analysis, morphospace analysis, adaptation, food web dynamics,
origination-extinction and diversity, biogeography, life cycle
dynamics, complexity, symmetry, and evolvability. Mathematics used
in the chapters include stochastic and delay differential and
partial differential equations, differential geometry, probability
theory, ergodic theory, group theory, knot theory, statistical
distributions, chaos theory, and combinatorics. Applied sciences
used in the chapters include networks, machine learning, robotics,
computer vision, image processing, pattern recognition, and
dynamical systems. The volume covers a diverse range of
mathematical treatments of topics in diatom research.
THE MATHEMATICAL BIOLOGY OF DIATOMS This book contains unique,
advanced applications using mathematics, algorithmic techniques,
geometric analysis, and other computational methods in diatom
research. Historically, diatom research has centered on taxonomy
and systematics. While these topics are of the utmost importance,
other aspects of this important group of unicells have been
increasingly explored in the biological sciences. While
mathematical applications are still rare, they are starting take
hold and provide an extensive avenue of new diatom research,
including applications in multidisciplinary fields. The work
contained in this volume is an eclectic mix of analytical studies
on diatoms. Mathematical treatment of the various biological
disciplines covered in this book range from implicit, but succinct
studies to more elaborate detailed computational studies. Topics
include growth models, nanostructure, nanoengineering, cell growth,
araphid diatoms, valve ontogeny, diatom metabolism, diatom
motility, synchronization, diatom kinematics, photonics, biogenic
sensors, photochemistry, diatom light response, colony growth,
siliceous unicells, algal kinetics, diatom structure, diatom
imaging, functional morphology, geometric structure,
biomineralization, high-resolution imaging, non-destructive
imaging, and 3D structure. This wide-ranging volume provides an
introductory as well as an advanced treatment of recent interests
in diatom research. The mathematical research in this volume may be
applicable to studies of other unicells, biomechanics, biological
processes, physio-chemical analyses, or nanoscience.
|
|