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Báo cáo hóa học: " Measuring and analyzing tissue specificity of human genes and protein complexes" potx
... RESEARC H Open Access
Measuring and analyzing tissue specificity of
human genes and protein complexes
Dorothea Emig
*
, Tim Kacprowski and Mario Albrecht
Abstract
Proteins and their interactions ... expression, protein interaction, tissue specificity
Introduction
It is essential for human systems biology and medicine
to understand the tissue specificity...
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... patients on
day 2 of cycles 2, 4, and 6 as well as completion of treat-
ment; for Arm B patients, on day 22 of cycle 1 and day 1
of cycles 2 and 3 and completion of treatment. In the
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... Helsinki
Declaration and approved by the Ethic s Committee of
our institution. Patients were informed of the investiga-
tional nature of the study and provided their written
informed consent.
Follow-up of patients
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... Journal of Inequalities and Applications 2011, 2011:131
http://www.journalofinequalitiesandapplications.com/content/2011/1/131
Page 7 of 8
RESEARC H Open Access
Schur convexity for the ratios of the ... ,
x
n
s
=
x
s
.
3 Proof of Theorems
Proof of Theorem 1.1. It is obvious that j
r
(x) is symmetric and has continuous partial
derivatives in
R
n
+
. By Lemma 2.1, we only need t...
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... contributions
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Competing ... closed convex subset C of a real
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... 4.8
Journal of Inequalities and Applications 9
a contradiction, hence f
k
aa. Thus a is a common fixed point of f
k
and g
k
and hence of f
and g.
Now we establish the uniqueness of a. Suppose ... g
k
a
3.27
a contradiction. Thus a is a common fixed point of f
k
and g
k
and hence of f and g.
ii Suppose that g is continuous and g
k
weakly F-contractive w...
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... eigenvalue of Q, then λ is either an
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Q or d
m−k
.Conversely,d
m−k
is an eigenvalue
of Q with multiplicity k
−1 and the eigenvalues of
Q are that
of Q. This completes the proof.
By ... bounds of the eigenvalues of
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d
j
, j = 1,2, ,m,ands and t
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