Exact(5)
Our methodology has allowed us to find "natural" modules of mammalian gene expression.
This conceptual gap needs to be resolved if we are to use natural modules systematically to redesign predictable and robust synthetic organisms.
First, for every single organ we detected a co-module containing this organ and its specific genes from mouse and human, which confirms that organs are "natural" modules of gene expression in mammals.
This shows that with the modular approach it is not only possible to discover "natural" modules of expression, but also to address questions about their evolutionary history since the divergence of two species.
Using the resulting co-modules, that contain genes and organs in which these genes are coherently expressed, we address several questions: 1) Are there any "natural" modules of mammalian organs, meaning groups of organs with very similar sets of co-expressed genes?
Similar(55)
For any module (M_cdot ) over (A_cdot ) and any complex (P_cdot in C_cdot (k)), we have a natural module (P_cdot otimes M_cdot ) given by begin{aligned} (P_cdot otimes M_cdot )(a) = P_cdot (a) otimes _k M_cdot (a), qquad a in A_cdot.
Let G=U2m(2) be the unitary group of dimension 2m≥6 over the finite field of four elements GF(4), W=GF(4 2m the natural module of G. Then G acts transitively on the set Ω of maximal totally isotropic m-dimensional subspaces of W. This permutation representation over R contains an irreducible representation of dimension d=(4m+2)/3.
Therefore, these two probabilities can be written using the probabilities defining the motion language module and the natural language module.
Each motion is converted to five descriptive sentences that are most likely to be generated by both the motion language module and the natural language module.
After learning the motion language module and the natural language module using the training dataset as shown by Table 1, the proposed framework was tested on 100 different full-body motions of human.
To do this, both the speciation and natural selection modules were made available to the class as a whole and the faculty lecturer highly recommended that all students complete the modules.
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