3,720 research outputs found
Algebraic treatment of the confluent Natanzon potentials
Using the so(2,1) Lie algebra and the Baker, Campbell and Hausdorff formulas,
the Green's function for the class of the confluent Natanzon potentials is
constructed straightforwardly. The bound-state energy spectrum is then
determined. Eventually, the three-dimensional harmonic potential, the
three-dimensional Coulomb potential and the Morse potential may all be
considered as particular cases.Comment: 9 page
Drosophila as a model system to study nonautonomous mechanisms affecting tumour growth and cell death
The study of cancer has represented a central focus in medical research for over a century. The great complexity and constant evolution of the pathology require the use of multiple research model systems and interdisciplinary approaches. This is necessary in order to achieve a comprehensive understanding into the mechanisms driving disease initiation and progression, to aid the development of appropriate therapies. In recent decades, the fruit fly Drosophila melanogaster and its associated powerful genetic tools have become a very attractive model system to study tumour-intrinsic and non-tumour-derived processes that mediate tumour development in vivo. In this review, we will summarize recent work on Drosophila as a model system to study cancer biology. We will focus on the interactions between tumours and their microenvironment, including extrinsic mechanisms affecting tumour growth and how tumours impact systemic host physiology
New family of iterative methods with high order of convergence for solving nonlinear systems
In this paper we present and analyze a set of predictor-corrector iterative methods with increasing order of convergence, for solving systems of nonlinear equations. Our aim is to achieve high order of convergence with few Jacobian and/or functional evaluations. On the other hand, by applying the pseudocomposition technique on each proposed scheme we get to increase their order of convergence, obtaining new high-order and efficient methods. We use the classical efficiency index in order to compare the obtained schemes and make some numerical test.This research was supported by Ministerio de Ciencia y TecnologĂa MTM2011-28636-C02-02 and by FONDOCYT 2011-1-B1-33, RepĂşblica Dominicana.Cordero Barbero, A.; Torregrosa Sánchez, JR.; Penkova Vassileva, M. (2013). New family of iterative methods with high order of convergence for solving nonlinear systems. En Numerical Analysis and Its Applications. Springer Verlag. 222-230. https://doi.org/10.1007/978-3-642-41515-9_23S222230Cordero, A., Hueso, J.L., MartĂnez, E., Torregrosa, J.R.: A modified Newton-Jarratt’s composition. Numer. Algor. 55, 87–99 (2010)Cordero, A., Hueso, J.L., MartĂnez, E., Torregrosa, J.R.: Efficient high-order methods based on golden ratio for nonlinear systems. Applied Mathematics and Computation 217(9), 4548–4556 (2011)Cordero, A., Torregrosa, J.R.: Variants of Newton’s Method using fifth-order quadrature formulas. Applied Mathematics and Computation 190, 686–698 (2007)Cordero, A., Torregrosa, J.R.: On interpolation variants of Newton’s method for functions of several variables. Journal of Computational and Applied Mathematics 234, 34–43 (2010)Cordero, A., Torregrosa, J.R., Vassileva, M.P.: Pseudocomposition: a technique to design predictor-corrector methods for systms of nonlinear equtaions. Applied Mathematics and Computation 218(23), 11496–11504 (2012)Nikkhah-Bahrami, M., Oftadeh, R.: An effective iterative method for computing real and complex roots of systems of nonlinear equations. Applied Mathematics and Computation 215, 1813–1820 (2009)Ostrowski, A.M.: Solutions of equations and systems of equations. Academic Press, New York (1966)Shin, B.-C., Darvishi, M.T., Kim, C.-H.: A comparison of the Newton-Krylov method with high order Newton-like methods to solve nonlinear systems. Applied Mathematics and Computation 217, 3190–3198 (2010
Planar Two-Loop Five-Parton Amplitudes from Numerical Unitarity
We compute a complete set of independent leading-color two-loop five-parton
amplitudes in QCD. These constitute a fundamental ingredient for the
next-to-next-to-leading order QCD corrections to three-jet production at hadron
colliders. We show how to consistently consider helicity amplitudes with
external fermions in dimensional regularization, allowing the application of a
numerical variant of the unitarity approach. Amplitudes are computed by
exploiting a decomposition of the integrand into master and surface terms that
is independent of the parton type. Master integral coefficients are numerically
computed in either finite-field or floating-point arithmetic and combined with
known analytic master integrals. We recompute two-loop leading-color
four-parton amplitudes as a check of our implementation. Results are presented
for all independent four- and five-parton processes including contributions
with massless closed fermion loops.Comment: v3: corrected wrong signs for five-gluon amplitudes with
vanishing tree
Octahedral tilting, monoclinic phase and the phase diagram of PZT
Anelastic and dielectric spectroscopy measurements on PZT close to the
morphotropic (MPB) and antiferroelectric boundaries provide new insight in some
controversial aspects of its phase diagram. No evidence is found of a border
separating monoclinic (M) from rhombohedral (R) phases, in agreement with
recent structural studies supporting a coexistence of the two phases over a
broad composition range x < 0.5, with the fraction of M increasing toward the
MPB. It is also discussed why the observed maximum of elastic compliance
appears to be due to a rotational instability of the polarisation and therefore
cannot be explained by extrinsic softening from finely twinned R phase alone,
but indicates the presence also of M phase, not necessarily homogeneous.
A new diffuse transition is found within the ferroelectric phase near x ~
0.1, at a temperature T_IT higher than the well established boundary T_T to the
phase with tilted octahedra. It is proposed that around T_IT the octahedra
start rotating in a disordered manner and finally become ordered below T_T. In
this interpretation, the onset temperature for octahedral tilting monotonically
increases up to the antiferroelectric transition of PbZrO3, and the depression
of T_T(x) below x = 0.18 would be a consequence of the partial relieve of the
mismatch between the cation radii with the initial stage of tilting below T_IT.Comment: submitted to J. Phys.: Condens. Matte
Identifying short motifs by means of extreme value analysis
The problem of detecting a binding site -- a substring of DNA where
transcription factors attach -- on a long DNA sequence requires the recognition
of a small pattern in a large background. For short binding sites, the matching
probability can display large fluctuations from one putative binding site to
another. Here we use a self-consistent statistical procedure that accounts
correctly for the large deviations of the matching probability to predict the
location of short binding sites. We apply it in two distinct situations: (a)
the detection of the binding sites for three specific transcription factors on
a set of 134 estrogen-regulated genes; (b) the identification, in a set of 138
possible transcription factors, of the ones binding a specific set of nine
genes. In both instances, experimental findings are reproduced (when available)
and the number of false positives is significantly reduced with respect to the
other methods commonly employed.Comment: 6 pages, 5 figure
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