I know you must be bored by now,
but keep on reading because:
People often find it
strange to think of mathematical and
human behavior at the same time.
However,
•Neurophysiology
is
the physiology of the nervous system and is the most
quantified branch of the biological
and medical sciences. Also, it
involves some of the most accurate
experimental techniques, e.g., the
patch clamp. Neurons and glial
cells, including their processes, make up
the central and peripheral nervous
systems. Neurons are known for their
highly complex electrical properties
that give rise to a rich variety of
dynamical phenomena that have challenged
mathematicians for decades. It
is also the area where colloborative
efforts between experimentalists,
mathematicians, and other theorists
have had the greatest impact, as
evidenced by the pioneering works
of Hodgkin and Huxley on the
mathematical description of the
electrical excitation of the squid giant
nerve and of Wilfrid Rall on the
electrical properties of dendrites.
Mathematical and computational
approaches have become two of the
favorite methods of analysis in
most research areas of neuroscience
which range from the study of Ca2+
buffers and channel gating dynamics
at the molecular level to the study
of the properties of large scale
neural networks and artificial
intelligence. This session will gather
some of the outstanding leaders
in this extremely dynamic research field
and present a picture of the past,
the present, and future of this
research field and, most importantly,
lay out some of the challenging
problems facing us now and in the
near future.
•Cardiology is
the study of the heart and its functions and has become a
very active area of research in
the medical sciences. A great deal of
the electrophysiology and muscle
mechanics of the heart is known, and a
variety of models have been proposed
to increase our understanding of
cardiac dynamics. Mathematical
modelling, mathematical analysis, and
computational methods have helped
to reveal the inner workings of the
heart, both electrically and mechanically.
Periodic rhythms characterize
the normal heart, whereas aperiodic
and complex oscillations
(arrhythmias) characterize the
diseased heart. In this session, we bring
together some of the leaders in
modelling these phenomena from different
points of view. Some of the specific
issues deal with complex electrical
activity in cardiac cells, effects
of electrical coupling of cells by
gap junctions on entrainment and
synchronicity, development of
complicated wave fronts, dynamics
of myocardial tissue, correlating
electrocardiograms with electrical
activity, and drug effects.
•Endocrinology is
the study of gland cells, the secretion of hormones by
these cells, and the physiological
action of hormones. It is a rapidly
expanding field with changing concepts
and relatively new to
mathematical modellers. Therefore,
there is a real need for more
collaborative research between
experimentalists, modellers, and
mathematicians. Hormones are highly
potent chemicals that act at low
doses and control almost all aspects
of our lives including growth,
development, metabolism, reproduction,
stress response, etc. It now is
known that all hormones are secreted
in a pulsatile manner with multiple
periodicities ranging from minutes
to a month or longer. Of great
importance is the ever increasing
evidence that these rhythmic patterns
are indispensable in the physiological
function of these hormonal
signals. The understanding of the
origin, dynamics, and mechanisms of
these hormonal rhythms is important
for clinical treatment of various
endocrine diseases and in designing
novel drug delivery regimes to
achieve maximum pharmacological
effects. The rhythmogenesis of these
hormonal signals also poses challenging
mathematical problems of
synchrony in coupled oscillators
and the emergence of rhythms in a
network of coupled cells. This
session will bring some of the leading
researchers in this area together
to give an overview of some of their
recent research activities.
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