Fall quarter

[Timothy Reluga <treluga@amath.washington.edu>]

	The applied mathematics department's mathematical biology journal
club has decided to meet on

	 Thursdays at 4:30
	 in the Applied Math library(Guggenheim 4th floor)

The first meeting will be October 17th.

Some of the potential topics raised for discussion this quarter are:

1) computational cell biology (C. Fall, R. Marland, J. Wagner,
   and J. Tyson Eds.) Springer

2) the geometry of biological time (A. Winfree) springer

3) molecular modeling and simulation (T. Schlick) springer

4) Biochemical Oscillations and Cellular Rhythms: The
   Molecular Bases of Periodic and Chaotic Behaviour
   (Albert Goldbeter, M. J. Berridge - April 1997)
   Cambridge Univ. Press.

5) Molecular Driving Forces (statistical thermodynamics in chemistry and
   biology) K. Dill & S. Bromberg. Garland Science Publ.

6) Modern work on Mass Spectrometric methods. (references?)


In the mean time, Mr. Toth has kindly volunteered to start us off next
week with a population biology talk(slightly off-topic, hence, an
incentive to find a topic).  The reference and abstract are as follows.
The article is available online, or at

	http://amath.washington.edu/~treluga/Newman02.pdf

Newman, T.J., Antonovics, J., and Wilbur, H.M. 2002. Population Dynamics
with a Refuge: Fractal Basins and the Suppression of Chaos.  Theoretical
Population Biology 62, 121-128.

Abstract:

We consider the effect of coupling an otherwise chaotic population to a
refuge.  A rich set of dynamical phenomena is uncovered.  We consider two
forms of density dependence in the active population: logistic and
exponential.  In the former case, the basin of attraction for stable
population growth becomes fractal, and the bifurcation diagrams for the
active and refuge populations are chaotic over a wide range of parameter
space.  In the case of exponential density dependence, the dynamics are
unconditionally stable (in that the population size is always positive and
finite), and chaotic behavior is completely eradicated for modest amounts
of dispersal.  We argue that the use of exponential density dependence is
more apporopriate, theoretically as well as empirically, in a model of
refuge dynamics.