Since the dawn of humanity people have been fascinated
by Nature's complexity. One can not stay indifferent to the wide diversity of
profound patterns in everyday life, like the different morphological shapes of
the living world (plants and animals), clouds, snowflakes, or river paths. As
scientists we are challenged to understand and explain these magnificent
mysteries. Such efforts have led to the development of the pattern formation
discipline. For an extensive overview
on pattern formation the reader is referred (for example) to a review by Cross and Hohenberg,
Rev. Mod.
Phys.
65, 851
(1993).
My research
interests are in the general area of complex systems and in particular,
pattern formation in such systems.
The
ongoing projects are involved with both development and implementation of
the pattern formation theory:
-
Reaction-Diffusion-Advection approach to somitogenesis, with R.
Reshef (Technion - Israel Institute of Technology);
-
Nonlinear waves of molecular motors (myosins) inside a Filopodia,
with
N. Gov (Weizmann Institute of Science);
-
Pattern selection in Reaction-Diffusion-Advection systems, with
M. Sheintuch (Technion - Israel Institute of Technology);
-
Pacemakers and finite wave trains in spatially extended excitable media,
with
E. Knobloch
(UC Berkeley);
-
Branching
phenomena in physiology,
with
A. Garfinkel
and
K. Boström (UCLA);
-
Calcification by vascular mesenchymal stem
cell,
with
A. Garfinkel,
L. Demer
(UCLA)
and
K. Boström (UCLA).
Past projects:
-
Pattern formation in Activator-Inhibitor systems with saturation, with
A. Garfinkel
(UCLA);
-
Spatially localized oscillations (oscillons) in driven dissipative systems, with
E. Knobloch
(UC Berkeley).
-
Formation and mobility of droplets on composite layered
substrates, with
L. Pismen (Technion - Israel Institute of Technology) and
E. Knobloch
(UC Berkeley).
-
Wetting of thin
fluid van der Waals films, with
L. Pismen (Technion - Israel Institute of Technology);
- Front bifurcations in bistable
systems, with
E. Meron (BGU),
A. Hagberg (LANL), C. Elphick
(Santiago, Chile) and
L.
Pismen (Technion - Israel Institute of Technology);
-
Frequency locking and pattern formation
in periodically forced spatially extended oscillatory systems, with
E. Meron
(BGU),
A. Hagberg (LANL), C. Elphick (Santiago, Chile),
A. Lin (Duke), and
H. Swinney (UT Austin).
Last changed June 2009
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