6,444 research outputs found
New Universal Current-mode Biquad Using Only Three ZC-CFTAs
The objective of this paper is to present a new universal Current-mode biquad capable of providing all the five basic filter functions, namely, low pass (LP), Band pass (BP), high pass (HP), Band reject (BR) and all pass (AP) from the same configuration using only three Z - copy current follower transconductance amplifiers (ZC-CFTA) along with the provision of independent electronic tunability of the filter parameters f0 and Q0 (or bandwidth) through two separate DC bias currents while employing both grounded capacitors as desirable for integrated circuit implementation. The workability of the proposed structure is verified by PSPICE simulations based on CMOS implementation of the ZC-CFTA
Optimal first-passage time in gene regulatory networks
The inherent probabilistic nature of the biochemical reactions, and low copy
number of species can lead to stochasticity in gene expression across identical
cells. As a result, after induction of gene expression, the time at which a
specific protein count is reached is stochastic as well. Therefore events
taking place at a critical protein level will see stochasticity in their
timing. First-passage time (FPT), the time at which a stochastic process hits a
critical threshold, provides a framework to model such events. Here, we
investigate stochasticity in FPT. Particularly, we consider events for which
controlling stochasticity is advantageous. As a possible regulatory mechanism,
we also investigate effect of auto-regulation, where the transcription rate of
gene depends on protein count, on stochasticity of FPT. Specifically, we
investigate for an optimal auto-regulation which minimizes stochasticity in
FPT, given fixed mean FPT and threshold.
For this purpose, we model the gene expression at a single cell level. We
find analytic formulas for statistical moments of the FPT in terms of model
parameters. Moreover, we examine the gene expression model with
auto-regulation. Interestingly, our results show that the stochasticity in FPT,
for a fixed mean, is minimized when the transcription rate is independent of
protein count. Further, we discuss the results in context of lysis time of an
\textit{E. coli} cell infected by a phage virus. An optimal lysis
time provides evolutionary advantage to the phage, suggesting a
possible regulation to minimize its stochasticity. Our results indicate that
there is no auto-regulation of the protein responsible for lysis. Moreover,
congruent to experimental evidences, our analysis predicts that the expression
of the lysis protein should have a small burst size.Comment: 8 pages, 3 figures, Submitted to Conference on Decision and Control
201
Neutrino Mass Matrices with Two Vanishing Elements/Cofactors
We study the phenomenological implications of the recent neutrino data for
class B of two texture zeros and two vanishing cofactors for Majorana neutrinos
in the flavor basis. We find that classes () of two texture zeros
and classes () of two vanishing cofactors have similar predictions
for neutrino oscillation parameters for the same mass hierarchy. Similar
predictions for classes () of two texture zeros and classes
() of two vanishing cofactors are expected. However, a preference for
a shift in the quadrant of the Dirac-type CP violating phase() in
contrast to the earlier analysis has been predicted for a relatively large
value of the reactor neutrino mixing angle() for class B of two
texture zeros and two vanishing cofactors for an inverted mass spectrum. No
such shift in the quadrant of has been found for the normal mass
spectrum.Comment: 15 pages, 10 figures and 3 table
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