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Essential genes on metabolic maps

Current Opinion in Biotechnology, 2006
Within the past five years genome-scale gene essentiality data sets have been published for ten diverse bacterial species. These data are a rich source of information about cellular networks that we are only beginning to explore. The analysis of these data, very heterogeneous in nature, is a challenging task. Even the definition of 'essential genes' in
Svetlana, Gerdes   +5 more
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Essential maps and coincidence theory

Applicable Analysis, 2016
Using an elementary approach, we present new coincidence principles for general classes of maps.
Mohamed Jleli   +2 more
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Stably Essential Mappings onto Disks

Acta Mathematica Hungarica, 1998
From the authors abstract: ``Let \(f\) be an essential mapping from a compact metric space \(X\) onto the \(n\)-dimensional disk \(D^n\) and let \(n \leq 2\) or \(\dim X < 2n - 2\). It is known that \(f\) is stably essential, i.e. the product mapping \(f \times id_{I^k}\) of \(f\) and the identity mapping \(id_{I^k}\) on the \(k\)-dimensional cube \(I ...
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Essential Equivariant Maps and Borsuk-Ulam Theorems

Journal of the London Mathematical Society, 2000
Let \(G\) be a compact Lie group, \(X\) be a \(G\)-space and \(f:X\to X\) be self \(G\)-map. In this interesting paper the authors deal with the following two basic questions: (1) For which groups \(G\) is every self \(G\)-map essential? (2) For which \(G\)-spaces is every self \(G\)-map essential?
Clapp, Mónica, Marzantowicz, Wacław
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Essentials of the self-organizing map

Neural Networks, 2013
The self-organizing map (SOM) is an automatic data-analysis method. It is widely applied to clustering problems and data exploration in industry, finance, natural sciences, and linguistics. The most extensive applications, exemplified in this paper, can be found in the management of massive textual databases and in bioinformatics. The SOM is related to
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Connected Maps and Essentially Connected Spaces

Canadian Mathematical Bulletin, 1985
AbstractThe paper discusses some consequences of weak monotonicity for connected maps in relation to essential connectedness of a space. The first main result gives conditions under which the image by a connected map of an essentially connected space is essentially connected. The second is that, for a connected mapping of a connected, 1 .c.
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Five Essential Properties of Disease Maps

Annals of the Association of American Geographers, 2012
We argue that as the disease map user group grows, disease maps must prioritize several essential properties that support public health uses of disease maps.
Kirsten M. M. Beyer   +2 more
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