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Genomics analysis on the responses of E. coli cells to varying environmental conditions
The natural living environments of E. coli cells are diverse, varying from
mammalian gastrointestinal tracts and soil. Each environment might require
distinct metabolic pathways and transporter systems, and long-term evolution
has established elaborate regulatory system for E. coli cells to quickly adapt to
the changing conditions. Sensing outside stresses and then adopting a different
phenotype enable them to take advantage of any possible nutrients and defend
against hostile environment. A lot of regulatory mechanisms have been identified
by genetic, biochemical and molecular biology methods, and our study aim to
build a systematic view on the response of the whole genome to four different
environmental conditions. We used statistical tests including Pearson’s tests and
Spearman’s tests and multiple testing adjustments to identify feature genes that
are induced or repressed significantly across treatment levels. The feature genes
identified were partially supported by previous literatures, and some of the novel
genes not found in any previous studies may infer a potential research blind spot.
Additionally, we compared the correlation tests to the implementation of machine
learning algorithms, and discussed the advantage and drawbacks of each
method.Statistic
Bridge the gap between network-based inference method and global ranking method in personal recommendation
In this paper, we study the relationship between the network-based inference
method and global ranking method in personal recommendation. By some
theoretical analysis, we prove that the recommendation result under the global
ranking method is the limit of applying network-based inference method with
infinity times.Comment: 13 pages, 3 figure
Pinning Complex Networks by a Single Controller
In this paper, without assuming symmetry, irreducibility, or linearity of the
couplings, we prove that a single controller can pin a coupled complex network
to a homogenous solution. Sufficient conditions are presented to guarantee the
convergence of the pinning process locally and globally. An effective approach
to adapt the coupling strength is proposed. Several numerical simulations are
given to verify our theoretical analysis
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