Systems biology represents an experimental approach to biology that attempts to study biological systems in a holistic rather than an atomistic manner. Ideally this involves gathering dynamic and global data sets as well as phenotypic data from different levels of the biological information hierarchy, integrating them and modeling them graphically and/or mathematically to generate mechanistic explanations for the emergent systems properties. This requires that the biological frontiers drive the development of new measurement and visualization technologies and the pioneering of new computational and mathematical tools-all of which requires a cross-disciplinary environment composed of biologists, chemists, computer scientists, engineers, mathematicians, physicists, and physicians speaking common discipline languages. The Institute for Systems Biology has aspired to pioneer and seamlessly integrate each of these concepts.
We introduce a novel technique, based on
Spectral graph considerations and on a mixed global-local focus. The
Effectiveness of our technique is demonstrated by using markov clustering for
The extraction of biological modules. We applied clustering to simplified
Networks demonstrating a considerable...
We develop expressions for the Lyapunov exponents for the
Cases of white and colored noise. The situation described here being
`multi-resonance' -- by nature well beyond the Kolmogorov-Arnold-Moser regime,
It offers an analytic glimpse on the regime in which many near-integrable
Systems, such as som...
We study the eigenvalues and eigenfunctions of systems on a discrete bounded
Lattice (lattice billiards). The statistical properties of the spectra show
Universal features related to the regular or chaotic properties of the dynamics
Of their classical continuum counterparts. However, the decay dynam...
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