1,510 research outputs found
The role of collective motion in examples of coarsening and self-assembly
The simplest prescription for building a patterned structure from its constituents is to add particles, one at a time, to an appropriate template. However, self-organizing molecular and colloidal systems in nature can evolve in much more hierarchical ways. Specifically, constituents (or clusters of constituents) may aggregate to form clusters (or clusters of clusters) that serve as building blocks for later stages of assembly. Here we evaluate the character and consequences of such collective motion in a set of prototypical assembly processes. We do so using computer simulations in which a system's capacity for hierarchical dynamics can be controlled systematically. By explicitly allowing or suppressing collective motion, we quantify its effects. We find that coarsening within a two dimensional attractive lattice gas (and an analogous off-lattice model in three dimensions) is naturally dominated by collective motion over a broad range of temperatures and densities. Under such circumstances, cluster mobility inhibits the development of uniform coexisting phases, especially when macroscopic segregation is strongly favored by thermodynamics. By contrast, the assembly of model viral capsids is not frustrated but is instead facilitated by collective moves, which promote the orderly binding of intermediates consisting of several monomers
Dominating Set, Independent Set, Discrete k-Center, Dispersion, and Related Problems for Planar Points in Convex Position
Given a set P of n points in the plane, its unit-disk graph G(P) is a graph with P as its vertex set such that two points of P are connected by an edge if their (Euclidean) distance is at most 1. We consider several classical problems on G(P) in a special setting when points of P are in convex position. These problems are all NP-hard in the general case. We present efficient algorithms for these problems under the convex position assumption.
● For the problem of finding the smallest dominating set of G(P), we present an O(knlog n) time algorithm, where k is the smallest dominating set size. We also consider the weighted case in which each point of P has a weight and the goal is to find a dominating set in G(P) with minimum total weight; our algorithm runs in O(n³log² n) time. In particular, for a given k, our algorithm can compute in O(kn²log² n) time a minimum weight dominating set of size at most k (if it exists).
● For the discrete k-center problem, which is to find a subset of k points in P (called centers) for a given k, such that the maximum distance between any point in P and its nearest center is minimized. We present an algorithm that solves the problem in O(min{n^{4/3}log n+knlog² n,k² nlog²n}) time, which is O(n²log² n) in the worst case when k = Θ(n). For comparison, the runtime of the current best algorithm for the continuous version of the problem where centers can be anywhere in the plane is O(n³ log n).
● For the problem of finding a maximum independent set in G(P), we give an algorithm of O(n^{7/2}) time and another randomized algorithm of O(n^{37/11}) expected time, which improve the previous best result of O(n⁶log n) time. Our algorithms can be extended to compute a maximum-weight independent set in G(P) with the same time complexities when points of P have weights.
- If we are looking for an (unweighted) independent set of size 3, we derive an algorithm of O(nlog n) time; the previous best algorithm runs in O(n^{4/3}log² n) time (which works for the general case where points of P are not necessarily in convex position).
- If points of P have weights and are not necessarily in convex position, we present an algorithm that can find a maximum-weight independent set of size 3 in O(n^{5/3+δ}) time for an arbitrarily small constant δ > 0. By slightly modifying the algorithm, a maximum-weight clique of size 3 can also be found within the same time complexity.
● For the dispersion problem, which is to find a subset of k points from P for a given k, such that the minimum pairwise distance of the points in the subset is maximized. We present an algorithm of O(n^{7/2}log n) time and another randomized algorithm of O(n^{37/11}log n) expected time, which improve the previous best result of O(n⁶) time.
- If k = 3, we present an algorithm of O(nlog² n) time and another randomized algorithm of O(nlog n) expected time; the previous best algorithm runs in O(n^{4/3}log² n) time (which works for the general case where points of P are not necessarily in convex position)
Monitoring Charge Carrier Diffusion across a Perovskite Film with Transient Absorption Spectroscopy
We have developed a new noninvasive optical method for monitoring charge carrier diffusion and mobility in semiconductor thin films in the direction perpendicular to the surface which is most relevant for devices. The method is based on standard transient absorption measurements carried out in reflectance and transmittance modes at wavelengths below the band gap where the transient response is mainly determined by the change in refractive index, which in turn depends on the distribution of photogenerated carriers across the film. This distribution is initially inhomogeneous because of absorption at the excitation wavelength and becomes uniform over time via diffusion. By modeling these phenomena we can determine the diffusion constant and respective mobility. Applying the method to a 500 nm thick triple cation FAMACs perovskite film revealed that homogeneous carrier distribution is established in few hundred picoseconds, which is consistent with mobility of 66 cm2 »(V »s)-
Static and collective properties of dusty non-equilibrium plasmas
The static dielectric function and dust acoustic waves are considered of non-equilibrium dusty plasmas. The
dynamic characteristics are considered using an effective potential applicable at elevated pressure, but this is
not a limitation. A three-species model capable of describing the collective processes is suggested, and a first
order phase transition in such systems is previewed. The OCP static characteristics are calculated within the
HNC approach.This work was partially supported by the Russian Foundation for Basic Research (project No. 12-02-01177-a), the President of the Russian Federation (project no. NSh-2447.2012.2 for Support of Leading Scientific Schools) and the Spanish Ministerio de Ciencia e Innovacion (Grant No. ENE2010-21116-C02-02). I. M. T. is also grateful to the UPV for the sabbatical leave he was granted.Filippov, AV.; Starostin, AN.; Tkachenko Gorski, IM.; Fortov, VE. (2013). Static and collective properties of dusty non-equilibrium plasmas. Contributions to Plasma Physics. 53(4-5):442-449. https://doi.org/10.1002/ctpp.201200128S442449534-5Filippov, A. V., Starostin, A. N., Tkachenko, I. M., Fortov, V. E., Ballester, D., & Conde, L. (2010). Dust acoustic waves in a nonequilibrium dusty plasma. JETP Letters, 91(11), 558-565. doi:10.1134/s0021364010110044Filippov, A. V., Starostin, A. N., Tkachenko, I. M., & Fortov, V. E. (2011). Dust acoustic waves in complex plasmas at elevated pressure. Physics Letters A, 376(1), 31-38. doi:10.1016/j.physleta.2011.10.030Adamyan, V. M., & Tkachenko, I. M. (2003). Sum rules and exact relations for quantal Coulomb systems. Contributions to Plasma Physics, 43(56), 252-257. doi:10.1002/ctpp.200310020I. M. Tkachenko Yu. V. Arkhipov A. Askaruly “The Method of Moments and its Applications in Plasma Physics”, Lambert Acad. Publ., Saarbrücken, Germany, 2012.Dolgov, O. V., Kirzhnits, D. A., & Maksimov, E. G. (1981). On an admissible sign of the static dielectric function of matter. Reviews of Modern Physics, 53(1), 81-93. doi:10.1103/revmodphys.53.81Maksimov, E. G., Dolgov, O. V., & Dolgov, O. V. (2007). Physics-Uspekhi, 50(9), 933. doi:10.1070/pu2007v050n09abeh006213M. G. Krein A. A. Nudel'man “The Markov moment problem and extremal problems”, Trans. of Math. Monographs 50 , Amer. Math. Soc., Providence, R. I., 1977.N. I. Akhiezer “The Classical Moment Problem”, Hafner Publishing Company, New York, 1965.A. A. Abrikosov L. P. Gorkov I. E. Dzyaloshinski “Methods of Quantum Field Theory in Statistical Physics”, Pergamon Press, 1965.A. N. Starostin in Proceedings of IXth International Conference on Phenomena in Ionized Gases (Bucharest, 1969), p. 366.Starostin, A. N., Roerich, V. C., & More, R. M. (2003). How correct is the EOS of weakly nonideal hydrogen plasmas? Contributions to Plasma Physics, 43(56), 369-372. doi:10.1002/ctpp.200310048Starostin, A. N., & Roerich, V. C. (2005). A converging equation of state of a weakly nonideal hydrogen plasma without mystery. Journal of Experimental and Theoretical Physics, 100(1), 165-198. doi:10.1134/1.1866208Fasolino, A., Parrinello, M., & Tosi, M. P. (1978). Static dielectric behavior of charged fluids near freezing. Physics Letters A, 66(2), 119-121. doi:10.1016/0375-9601(78)90013-0Ng, K. (1974). Hypernetted chain solutions for the classical one‐component plasma up to Γ=7000. The Journal of Chemical Physics, 61(7), 2680-2689. doi:10.1063/1.1682399Baus, M. (1980). Statistical mechanics of simple coulomb systems. Physics Reports, 59(1), 1-94. doi:10.1016/0370-1573(80)90022-
Refractive index change dominates the transient absorption response of metal halide perovskite thin films in the near infrared
Perovskites have lately attracted a lot of attention as promising materials for the next-generation of efficient, low-cost, and solution processable optoelectronics. Their complex transient photophysics, in time scales ranging from femtoseconds to seconds, have been widely investigated. However, in most of the reported works the spectral window of ultrafast transient absorption (TA) spectroscopy of perovskite films is limited to the visible region, hence missing crucial information coming from the near-infrared (NIR). Furthermore, the measured TA responses are affected by light interference in a thin perovskite layer making data interpretation a challenge even in the visible part of the spectrum. Here, we demonstrate a method that allows us to separately obtain the changes in absorption and refractive index from conventional transmission and reflection pump-probe measurements. We show that the contribution of the absorption change to the response of metal halide perovskite thin films in the NIR is much smaller than that of the refractive index change. Furthermore, the spectral shape of TA responses in the NIR range is predominantly determined by perovskite layer thickness and its refractive index. However, the time profile of the responses bears important information on the carrier dynamics and makes the NIR a useful range to study perovskite photophysics
Formation of functional literacy in students of auxiliary school
The Youth of the 21st Century: Education, Science, Innovations : Proceedings of VI International Conference for Students, Postgraduates and Young Scientists, Vitebsk, December 12, 2019. - Vitebsk : Vitebsk State University named after P. M. Masherov, 2019. - P. 393-395. - Bibliogr.: p. 395 (2 nam.)
Adult-onset bilateral Parry-Romberg syndrome
Co-author Elizabeth Tkachenko is a medical student at UMass Medical School.Parry-Romberg Syndrome (PRS), or progressive hemifacial atrophy, is an uncommon disorder characterized by progressive unilateral loss of adipose tissue and underlying structures including muscle, cartilage, and bone, often with little or no sclerosis. PRS and morphea en coup de sabre (ECDS) have significant overlap, often coexist, and are likely different phenotypes of morphea.1 PRS usually presents in the first decade of life, but later presentations have been described.1 It is more common in females and the pathogenesis is not completely understood.1 Neurologic symptoms are the most common extracutaneous systemic manifestation. Bilateral disease occurs in rare instances.1 We describe a woman with profound bilateral facial atrophy whose presentation does not follow the typically reported disease course or histopathologic findings seen in PRS
The significance of angiogenesis in tumorigenesis and prognosis of prostate cancer
Yakovtcova I. I., Tkachenko P. V., Ivakhno I. V. The significance of angiogenesis in tumorigenesis and prognosis of prostate cancer. Journal of Education, Health and Sport. 2017;7(8):415-422. eISSN 2391-8306. DOI http://dx.doi.org/10.5281/zenodo.852570
http://ojs.ukw.edu.pl/index.php/johs/article/view/4754
The journal has had 7 points in Ministry of Science and Higher Education parametric evaluation. Part B item 1223 (26.01.2017).
1223 Journal of Education, Health and Sport eISSN 2391-8306 7
© The Authors 2017;
This article is published with open access at Licensee Open Journal Systems of Kazimierz Wielki University in Bydgoszcz, Poland
Open Access. This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium,
provided the original author(s) and source are credited. This is an open access article licensed under the terms of the Creative Commons Attribution Non Commercial License
(http://creativecommons.org/licenses/by-nc/4.0/) which permits unrestricted, non commercial use, distribution and reproduction in any medium, provided the work is properly cited.
This is an open access article licensed under the terms of the Creative Commons Attribution Non Commercial License (http://creativecommons.org/licenses/by-nc/4.0/) which permits unrestricted, non commercial
use, distribution and reproduction in any medium, provided the work is properly cited.
The authors declare that there is no conflict of interests regarding the publication of this paper.
Received: 01.08.2017. Revised: 27.08.2017. Accepted: 30.08.2017.
The significance of angiogenesis in tumorigenesis and prognosis of prostate cancer
I. I. Yakovtcova, P. V. Tkachenko, I. V. Ivakhno
Kharkiv medical academy of postgraduate education
Abstract
Angiogenesis is a key factor in tumor growth, invasion, and metastasis. The aim of the present study is to investigate the diagnostic and predictive value of prostatic cancer (PC) angiogenesis by immunohistochemically examination of CD34, VEGF and Ki-67 in 40 cases of PC, 8 cases of nodular hyperplasia and 8 cases of intraepithelial neoplasia. It was found that the density of microvessels and intensity data of stroma but not epithelium VEGF staining in PC more than in benign pathology, and increased with risk of recurrence and as the differentiation of cancer was reduced. Results indicate that the vascularization is a sign of growth and progression of PC and may be used as predictor of the disease.
Key words: prostatic cancer, angiogenesis, vascular endothelial growth factor, microvessel density
Optical properties of kelbg-pseudopotential-modelled plasmas
Simulation data on hydrogen-like plasmas, modelled with the Kelbg pseudopotential, are treated within the
classical theory of moments. The possibility is analyzed for the model inverse dielectric function to satisfy
five convergent sum rules and other exact relations. The sum rules are the power frequency moments of the
loss function and the latter are calculated using the hypernetted chain approximation with the Kelbg interaction
potential. An approach to the reconstruction of the Nevanlinna parameter function is proposed and successfully
tested against the simulation data. Conclusions on the applicability of the Kelbg potential are drawn and a
model is put forward to define the Coulomb dielectric function with the space dispersion taken into account.This work was partially supported by the Spanish Ministerio de Ciencia e Innovacion under Grant No. ENE2010-21116-C02-02 and by the Sciences Committee of the Ministry of Education and Sciences of the Republic of Kazakhstan under Grants No. 1128/GF, 1129/GF and 1099/GF. The authors acknowledge the financial support of KazNU and are thankful to I. V. Morozov for providing the numerical data; I. M. T. is grateful to the UPV for the granted sabbatical leave and to the KazNU for its hospitality.Arkhipov, YV.; Ashikbayeva, AB.; Askaruly, A.; Davletov, AE.; Tkachenko Gorski, IM. (2013). Optical properties of kelbg-pseudopotential-modelled plasmas. Contributions to Plasma Physics. 53(4-5):375-384. https://doi.org/10.1002/ctpp.201200113S375384534-5Ballester, D., & Tkachenko, I. M. (2005). Two-moment modelling of the dynamic longitudinal conductivity of strongly coupled Coulomb systems. Contributions to Plasma Physics, 45(3-4), 293-299. doi:10.1002/ctpp.200510033Tkachenko, I. M., & Ballester, D. (2005). Reconstruction of internal longitudinal conductivity of non-ideal plasmas by exact relations and sum rules. Journal of Physics: Conference Series, 11, 82-88. doi:10.1088/1742-6596/11/1/008Arkhipov, Y. V., Askaruly, A., Ballester, D., Davletov, A. E., Meirkanova, G. M., & Tkachenko, I. M. (2007). Collective and static properties of model two-component plasmas. Physical Review E, 76(2). doi:10.1103/physreve.76.026403Arkhipov, Y. V., Askaruly, A., Davletov, A. E., & Tkachenko, I. M. (2010). Dynamic Properties of One-Component Moderately Coupled Plasmas: The Mixed Löwner-Nevanlinna-Pick Approach. Contributions to Plasma Physics, 50(1), 69-76. doi:10.1002/ctpp.201010015Arkhipov, Y. V., Askaruly, A., Baimbetov, F. B., Ballester, D., Davletov, A. E., Meirkanova, G. M., & Tkachenko, I. M. (2010). Optical Properties of Model Moderately Coupled Plasmas. Contributions to Plasma Physics, 50(2), 165-176. doi:10.1002/ctpp.201010031Arkhipov, Y. V., Askaruly, A., Ballester, D., Davletov, A. E., Tkachenko, I. M., & Zwicknagel, G. (2010). Dynamic properties of one-component strongly coupled plasmas: The sum-rule approach. Physical Review E, 81(2). doi:10.1103/physreve.81.026402Filippov, A. V., Starostin, A. N., Tkachenko, I. M., & Fortov, V. E. (2011). Dust acoustic waves in complex plasmas at elevated pressure. Physics Letters A, 376(1), 31-38. doi:10.1016/j.physleta.2011.10.030M. G. Krein A. A. Nudel'man “The Markov moment problem and extremal problems”, Trans. of Math. Monographs, 50, Amer. Math. Soc., Providence, R. I.,1977.N. I. Akhiezer “The Classical Moment Problem”, Hafner Publishing Company, N. Y., 1965.Adamyan, V., Alcober, J., & Tkachenko, I. (2003). Applied Mathematics Research eXpress, 2003(2), 33. doi:10.1155/s1687120003212028J. Alcober I. M. Tkachenko M. Urrea In: “Integral Methods in Science and Engineering”, Ed. C. Constanda, Eugenia Pérez, Ch. 2 , 11-20, 2009, Birkhäuser Verlag, Basel, Switzerland.Reinholz, H., Morozov, I., Röpke, G., & Millat, T. (2004). Internal versus external conductivity of a dense plasma: Many-particle theory and simulations. Physical Review E, 69(6). doi:10.1103/physreve.69.066412Morozov, I., Reinholz, H., Röpke, G., Wierling, A., & Zwicknagel, G. (2005). Molecular dynamics simulations of optical conductivity of dense plasmas. Physical Review E, 71(6). doi:10.1103/physreve.71.066408S. Ichimaru “Statistical Plasma Physics”, Addison-Wesley, New York, 1991, Vol. 1; S. Ichimaru, “Statistical Plasma Physics: Condensed Plasmas” Addison-Wesley, New York, 1994, Vol. 2.I. M. Tkachenko Yu. V. Arkhipov A. Askaruly “The Method of Moments and its Applications in Plasma Physics”, LAMBERT Academic Publishing, Saarbrucken, Germany, 2012.Maksimov, E. G., Dolgov, O. V., & Dolgov, O. V. (2007). Physics-Uspekhi, 50(9), 933. doi:10.1070/pu2007v050n09abeh006213D. Pines P. Nozièrs “The Theory of Quantum Liquids”, Benjamin, NY, 1966.M. J. Corbatón I. M. Tkachenko International Conference on Strongly Coupled Coulomb Systems, Camerino, Italy, 2008, Book of Abstracts, p. 90.Kugler, A. A. (1975). Theory of the local field correction in an electron gas. Journal of Statistical Physics, 12(1), 35-87. doi:10.1007/bf01024183Baus, M., Hansen, J.-P., & Sjögren, L. (1981). Electrical conductivity of a strongly coupled hydrogen plasma. Physics Letters A, 82(4), 180-182. doi:10.1016/0375-9601(81)90115-8Reinholz, H. (2005). Dielectric and optical properties of dense plasmas. Annales de Physique, 30(4-5), 1-187. doi:10.1051/anphys:2006004D. N. Zubarev V. Morozov G. Röpke “Relaxation and HydrodynamicProcesses”, Vol. 2 of Statistical Mechanics of Nonequilibrium Processes, Akademie Verlag/Wiley, Berlin, 1997.Röpke, G. (1998). Dielectric function and electrical dc conductivity of nonideal plasmas. 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Static and dynamic structure factors with account of the ion structure for high-temperature alkali and alkaline earth plasmas
The electron-electron, electron-ion, ion-ion and charge-charge static structure factors are calculated for alkali (at T = 30 000 K, 60 000 K, n (e) = 0.7 x 10(21) A center dot 1.1 x 10(22) cm(-3)) and Be2+ (at T = 20 eV, n (e) = 2.5 x 10(23) cm(-3)) plasmas using the method described by Gregori et al. The dynamic structure factors for alkali plasmas are calculated at T = 30 000 K, n (e) = 1.74 x 10(20), 1.11 x 10(22) cm(-3) using the method of moments developed by Adamjan et al. In both methods the screened Hellmann-Gurskii-Krasko potential, obtained on the basis of Bogolyubov's method, has been used taking into account not only the quantum-mechanical effects but also the repulsion due to the Pauli exclusion principle. The repulsive part of the Hellmann-Gurskii-Krasko (HGK) potential reflects important features of the ion structure. Our results on the static structure factors for Be2+ plasma deviate from the data obtained by Gregori et al., while our dynamic structure factors are in a reasonable agreement with those of Adamyan et al.: at higher values of k and with increasing k the curves damp down while at lower values of k, and especially at higher electron coupling, we observe sharp peaks also reported in the mentioned work. For lower electron coupling the dynamic structure factors of Li+, Na+, K+, Rb+ and Cs+ do not differ while at higher electron coupling these curves split. As the number of shell electrons increases from Li+ to Cs+ the curves shift in the direction of low absolute value of omega and their heights diminish. We conclude that the short range forces, which we take into account by means of the HGK model potential, which deviates from the Coulomb and Deutsch ones, influence the static and dynamic structure factors significantly.The work has been realised at the Humboldt University at Berlin (Germany). One of the authors (S. P. Sadykova) would like to express sincere thanks to the Erasmus Mundus Program of the EU for the financial support and especially to Mr. M. Parske for his aid, to the Institute of Physics, Humboldt University at Berlin, for the support which made her participation at some scientific Conferences possible; I. M. T. acknowledges the financial support of the Spanish Ministerio de Educacion y Ciencia Project No. ENE2007-67406-C02-02/FTN and valuable discussions with Dr. D. Gericke.Sadykova, SP.; Ebeling, W.; Tkachenko Gorski, IM. (2011). Static and dynamic structure factors with account of the ion structure for high-temperature alkali and alkaline earth plasmas. 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