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121.
Vasily A Kazakov Marina V Lavrova Alexander A Ganeev Leonid N Moskvin Maxim N Slyadnev 《Analytical sciences》2005,21(4):349-350
Optimization of geometry and surface modification of microchip input reservoirs were performed to achieve uninterferenced pressure-induced sample injection of multiple samples into microreactors using a single syringe pump. Nine samples of 3.5 microL were pipetted onto input reservoirs and loading of PCR mixture into 260 nL microreactors was achieved followed by successful PCR amplification, confirming that no cross-contamination occurs during injection. 相似文献
122.
123.
We prove a general Borg-type result for reflectionless unitaryCMV operators U associated with orthogonal polynomials on theunit circle. The spectrum of U is assumed to be a connectedarc on the unit circle. This extends a recent result of Simonin connection with a periodic CMV operator with spectrum thewhole unit circle. In the course of deriving the Borg-type result we also use exponentialHerglotz representations of Caratheodory functions to provean infinite sequence of trace formulas connected with the CMVoperator U. 相似文献
124.
125.
Maxim V. Shugaev Nadezhda M. Bulgakova 《Applied Physics A: Materials Science & Processing》2010,98(1):103-109
On the basis of a two-temperature model taking into account the laser-generated stress waves, we have performed an analysis
of heating and melting dynamics in different metallic films (Au, Zn, Cr) irradiated by femtosecond laser pulses for the experimental
conditions on laser-induced forward transfer. The modeling results have allowed puzzling out why, even within the same family
of materials, substances can be transferred in the different phase states under rather similar laser-irradiation conditions. 相似文献
126.
Maxim O. Korpusov Dmitry V. Lukyanenko Alexander A. Panin 《Mathematical Methods in the Applied Sciences》2020,43(11):6771-6800
This work develops the theory of the blow-up phenomena for Joseph–Egri equation. The existence of the nonextendable solution of two initial-boundary value problems (on a segment and a half-line) is demonstrated. Sufficient conditions of the finite-time blow-up of these solutions, as well as the analytical estimates of the blow-up time, are obtained. A numerical method that allows to precise the blow-up moment for specified initial data is proposed. 相似文献
127.
Maxim Trokhimtchouk 《Calculus of Variations and Partial Differential Equations》2010,37(3-4):407-422
In this paper I discuss nonlinear parabolic systems that are generalizations of scalar diffusion equations. More precisely, I consider systems of the form $$\mathbf{u}_t -\Delta\left[ \mathbf{\nabla}\Phi(\mathbf{u})\right] = 0,$$ where ${\Phi(z)}$ is a strictly convex function. I show that when ${\Phi}$ is a function only of the norm of u, then bounded weak solutions of these parabolic systems are everywhere Hölder continuous and thus everywhere smooth. I also show that the method used to prove this result can be easily adopted to simplify the proof of the result due to Wiegner (Math Ann 292(4):711–727, 1992) on everywhere regularity of bounded weak solutions of strongly coupled parabolic systems. 相似文献
128.
Hunter M Backman V Popescu G Kalashnikov M Boone CW Wax A Gopal V Badizadegan K Stoner GD Feld MS 《Physical review letters》2006,97(13):138102
Light scattered from biological tissues can exhibit an inverse power law spectral component. We develop a model based on the Born approximation and von Karman (self-affine) spatial correlation of submicron tissue refractive index to account for this. The model is applied to light scattering spectra obtained from excised esophagi of normal and carcinogen-treated rats. Power law exponents used to fit dysplastic tissue site spectra are significantly smaller than those from normal sites, indicating that changes in tissue self-affinity can serve as a potential biomarker for precancer. 相似文献
129.
Standard assumptions in shock models are that failures of items are related either to the cumulative effect of shocks (cumulative models) or that they are caused by shocks that exceed a certain critical level (extreme shocks models). In this paper, we present useful generalizations of this setting to the case when an item is deteriorating itself, for example, when the boundary for the fatal shock magnitude is decreasing with time. Three stochastic failure models describing different impacts of shocks on items are considered. The cumulative effect of shocks is modeled in a way similar to the proportional hazards model. Explicit formulas for the corresponding survival functions are derived and several simple examples are considered. Copyright © 2012 John Wiley & Sons, Ltd. 相似文献
130.
Maxim Vybornov 《代数通讯》2013,41(12):3985-3992
In this paper we study finite dimensional algebras arising from categories of perverse sheaves on finite regular cell complexes (cellular perverse algebras). We prove that such algebras are quasi-hereditary and have finite global dimension. We discuss some restrictions, under which cellular perverse algebras are Koszul. We also study the relationship between Koszul duality functors in the derived categories of categories of graded and non-graded modules over an algebra and its quadratic dual. 相似文献