254 research outputs found
Timing Constraints of In Vivo Gag Mutations during Primary HIV-1 Subtype C Infection
Background: Aiming to answer the broad question βWhen does mutation occur?β this study examined the time of appearance, dominance, and completeness of in vivo Gag mutations in primary HIV-1 subtype C infection. Methods: A primary HIV-1C infection cohort comprised of 8 acutely and 34 recently infected subjects were followed frequently up to 500 days post-seroconversion (p/s). Gag mutations were analyzed by employing single-genome amplification and direct sequencing. Gag mutations were determined in relation to the estimated time of seroconversion. Time of appearance, dominance, and completeness was compared for different types of in vivo Gag mutations. Results: Reverse mutations to the wild type appeared at a median (IQR) of 62 (44;139) days p/s, while escape mutations from the wild type appeared at 234 (169;326) days p/s (p<0.001). Within the subset of mutations that became dominant, reverse and escape mutations appeared at 54 (30;78) days p/s and 104 (47;198) days p/s, respectively (p<0.001). Among the mutations that reached completeness, reverse and escape mutations appeared at 54 (30;78) days p/s and 90 (44;196) days p/s, respectively (pβ=β0.006). Time of dominance for reverse mutations to and escape mutations from the wild type was 58 (44;105) days p/s and 219 (90;326) days p/s, respectively (p<0.001). Time of completeness for reverse and escape mutations was 152 (100;176) days p/s and 243 (101;370) days p/s, respectively (pβ=β0.001). Fitting a Cox proportional hazards model with frailties confirmed a significantly earlier time of appearance (hazard ratio (HR): 2.6; 95% CI: 2.3β3.0), dominance (4.8 (3.4β6.8)), and completeness (3.6 (2.3β5.5)) of reverse mutations to the wild type Gag than escape mutations from the wild type. Some complex mutational pathways in Gag included sequential series of reversions and escapes. Conclusions: The study identified the timing of different types of in vivo Gag mutations in primary HIV-1 subtype C infection in relation to the estimated time of seroconversion. Overall, the in vivo reverse mutations to the wild type occurred significantly earlier than escape mutations from the wild type. This shorter time to incidence of reverse mutations remained in the subsets of in vivo Gag mutations that reached dominance or completeness
Single-centre experience of allogeneic haemopoietic stem cell transplant in paediatric patients in Cape Town, South Africa
Background. Allogeneic haemopoietic stem cell transplant (Allo-HSCT) is a specialised and costly intervention, associated with significant morbidity and mortality. It is used to treat a broad range of paediatric conditions. South Africa (SA) is an upper middle-income country with limitations on healthcare spending. The role of paediatric Allo-HSCT in this setting is reviewed.Objectives. To review paediatric patients who underwent Allo-HSCT at the Groote Schuur Hospital/University of Cape Town Private Academic Hospital transplant unit in Cape Town, South Africa, and received post-transplant care at Red Cross War Memorial Childrenβs Hospital, over the period January 2006 - December 2014 in respect of indications for the transplant, donor sources, conditioning regimens, treatment-related morbidity and overall survival (OS).Methods. A retrospective analysis of patient records was performed and a database was created in Microsoft Access. Descriptive analyses of relevant demographic, clinical and laboratory data were performed. Summary statistics of demographic and clinical parameters were derived with Excel. OS was calculated from the date of transplant to the date of an event (death) or last follow-up using the Kaplan-Meier method in Statistica.Results. A total of 48 children received Allo-HSCT: 24 for haematological malignancies, 20 for non-oncological haematological conditions, 3 for immune disorders and 1 for adrenoleukodystrophy. There were 28 boys (median age 7.5 years) and 20 girls (8.5 years). There were 31Β sibling matched peripheral-blood stem cell (PBSC) transplants and 1 maternal haploidentical PBSC transplant. Stem cells were mobilised from bone marrow into peripheral blood by administering granulocyte-colony stimulating factor to donors. PBSCs were harvested by apheresis. Eight patients received 10/10 HLA-matched grafts from unrelated donors. Six were PBSC grafts and 2 were bone marrow grafts. Three of the unrelated PBSC grafts were from SA donors. Eight transplants used umbilical cord blood from international registries. OS for patients with non-oncological disorders was 91.3% (median follow-up 3.9 years), while that for oncology patients was 56.8% (1.9 years). Two of the survivors developed chronic graft-versus-host disease.Conclusions. OS for non-oncological conditions was excellent, while outcomes for oncological disorders were on par with those in high-income settings. Transplantation offers many patients the opportunity for long-term survival and has been shown to be both feasible and rewarding in a less well-resourced environment servicing an economically diverse population
Emission spectra and intrinsic optical bistability in a two-level medium
Scattering of resonant radiation in a dense two-level medium is studied
theoretically with account for local field effects and renormalization of the
resonance frequency. Intrinsic optical bistability is viewed as switching
between different spectral patterns of fluorescent light controlled by the
incident field strength. Response spectra are calculated analytically for the
entire hysteresis loop of atomic excitation. The equations to describe the
non-linear interaction of an atomic ensemble with light are derived from the
Bogolubov-Born-Green-Kirkwood-Yvon hierarchy for reduced single particle
density matrices of atoms and quantized field modes and their correlation
operators. The spectral power of scattered light with separated coherent and
incoherent constituents is obtained straightforwardly within the hierarchy. The
formula obtained for emission spectra can be used to distinguish between
possible mechanisms suggested to produce intrinsic bistability.Comment: 18 pages, 5 figure
Π¦ΠΈΡΠΎΠΊΠΈΠ½Ρ ΠΊΠ°ΠΊ ΠΈΠ½Π΄ΡΠΊΡΠΎΡΡ ΠΏΠΎΡΡΠΏΠ΅ΡΡΡΠ·ΠΈΠΎΠ½Π½ΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΠ½ΠΎΠΉ Π²ΠΎΡΠΏΠ°Π»ΠΈΡΠ΅Π»ΡΠ½ΠΎΠΉ ΡΠ΅Π°ΠΊΡΠΈΠΈ Ρ ΠΊΠ°ΡΠ΄ΠΈΠΎΡ ΠΈΡΡΡΠ³ΠΈΡΠ΅ΡΠΊΠΈΡ Π±ΠΎΠ»ΡΠ½ΡΡ Ρ ΡΠ°Π·Π»ΠΈΡΠ½ΠΎΠΉ ΠΏΡΠΎΠ΄ΠΎΠ»ΠΆΠΈΡΠ΅Π»ΡΠ½ΠΎΡΡΡΡ ΠΊΠΎΡΠΎΠ½Π°ΡΠ½ΠΎΠΉ ΠΏΠ°ΡΠΎΠ»ΠΎΠ³ΠΈΠΈ
Aim. The changes of blood cytokine profile in patients with ischemic heart disease (IHD) with different development rates and formation of systemic inflammatory response (SIR) after coronary artery bypass grafting by using cardiopulmonary bypass (CPB) are analyzed in this article.Materials and methods. The patients with slowly progressive of IHD (20 patients) and rapidly progressive of IHD (20 patients) were examined. The concentration of interleukine (IL) 1Ξ², IL-1ra, IL-4, IL-6, IL-8 and tumor necrosis factor (TNF) Ξ± in blood plasma were evaluated by ELISA at patients with IHD before surgery and at 6 and 24 h after surgery.The results of the study showed that concentration of IL-1Ξ², IL-6, IL-8, TNF-Ξ± and IL-1ra in blood plasma increases in patients with IHD of both groups before surgery. The concentration of IL-4 in the blood saved in the normal range before the operation in the case of slow disease progression, but maximum increase in content of proinflammatory (TNF-Ξ±, IL-6) and anti-inflammatory (IL-4, IL-1ra) cytokines in the blood and the IL-1ra/IL-1Ξ² ratio was detected in a rapidly developing of IHD. It was noticed that after coronary artery bypass grafting in patients with long history case of IHD the content of IL-1Ξ², IL-8, TNF-Ξ±, IL-1ra, IL-4 increased with a normalization of the IL-6 concentration in the blood; in patients with a short period of IHD increase of IL-1 concentration and high content of IL-6 are combined with remaining unchanged level of IL1Ξ², IL-8, IL-4 and negative dynamics of the TNF-Ξ± concentration in the blood. Thus, the operation in the Π‘Π Π in the case of IHD with prolonged course induces the formation of SIR, typical for acute inflammation, and coordinated anti-inflammatory response, and in the case of short period of coronary disease progress this operation causes SIR, characteristic for chronic inflammation, and uncoordinated anti-inflammatory response.Β Π¦Π΅Π»Ρ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ β ΠΎΠΏΡΠ΅Π΄Π΅Π»ΠΈΡΡ Ρ
Π°ΡΠ°ΠΊΡΠ΅Ρ ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΠΉ ΡΠΈΡΠΎΠΊΠΈΠ½ΠΎΠ²ΠΎΠ³ΠΎ ΠΏΡΠΎΡΠΈΠ»Ρ ΠΊΡΠΎΠ²ΠΈ ΠΏΡΠΈ ΡΠΎΡΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΠΈ ΡΠΈΡΡΠ΅ΠΌΠ½ΠΎΠΉ Π²ΠΎΡΠΏΠ°Π»ΠΈΡΠ΅Π»ΡΠ½ΠΎΠΉ ΡΠ΅Π°ΠΊΡΠΈΠΈ (Π‘ΠΠ ) Ρ Π±ΠΎΠ»ΡΠ½ΡΡ
ΠΈΡΠ΅ΠΌΠΈΡΠ΅ΡΠΊΠΎΠΉ Π±ΠΎΠ»Π΅Π·Π½ΡΡ ΡΠ΅ΡΠ΄ΡΠ° (ΠΠΠ‘) Ρ ΡΠ°Π·Π½ΡΠΌΠΈ ΡΠ΅ΠΌΠΏΠ°ΠΌΠΈ ΡΠ°Π·Π²ΠΈΡΠΈΡ Π·Π°Π±ΠΎΠ»Π΅Π²Π°Π½ΠΈΡ ΠΏΠΎΡΠ»Π΅ ΠΊΠΎΡΠΎΠ½Π°ΡΠ½ΠΎΠ³ΠΎ ΡΡΠ½ΡΠΈΡΠΎΠ²Π°Π½ΠΈΡ Ρ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ΠΌ ΠΈΡΠΊΡΡΡΡΠ²Π΅Π½Π½ΠΎΠ³ΠΎ ΠΊΡΠΎΠ²ΠΎΠΎΠ±ΡΠ°ΡΠ΅Π½ΠΈΡ (ΠΠ).ΠΠ°ΡΠ΅ΡΠΈΠ°Π» ΠΈ ΠΌΠ΅ΡΠΎΠ΄Ρ. ΠΠ±ΡΠ»Π΅Π΄ΠΎΠ²Π°Π½Ρ Π±ΠΎΠ»ΡΠ½ΡΠ΅ Ρ ΠΌΠ΅Π΄Π»Π΅Π½Π½ΠΎ ΠΏΡΠΎΠ³ΡΠ΅ΡΡΠΈΡΡΡΡΠ΅ΠΉ ΠΠΠ‘ (20 ΡΠ΅Π»ΠΎΠ²Π΅ΠΊ) ΠΈ Π±ΡΡΡΡΠΎ ΠΏΡΠΎΠ³ΡΠ΅ΡΡΠΈΡΡΡΡΠ΅ΠΉ ΠΠΠ‘ (20 ΡΠ΅Π»ΠΎΠ²Π΅ΠΊ). Π£ Π±ΠΎΠ»ΡΠ½ΡΡ
ΠΠΠ‘ Π΄ΠΎ ΠΎΠΏΠ΅ΡΠ°ΡΠΈΠΈ ΠΈ ΡΠ΅ΡΠ΅Π· 6 ΠΈ 24 Ρ ΠΏΠΎΡΠ»Π΅ ΠΎΠΏΠ΅ΡΠ°ΡΠΈΠ²Π½ΠΎΠ³ΠΎ Π²ΠΌΠ΅ΡΠ°ΡΠ΅Π»ΡΡΡΠ²Π° ΠΎΡΠ΅Π½ΠΈΠ²Π°Π»ΠΈ ΠΊΠΎΠ½ΡΠ΅Π½ΡΡΠ°ΡΠΈΡ ΡΠΈΡΠΎΠΊΠΈΠ½ΠΎΠ² β ΠΈΠ½ΡΠ΅ΡΠ»Π΅ΠΉΠΊΠΈΠ½Π° (IL)-1Ξ², IL-1ra, IL-4, IL-6, IL-8 ΠΈ ΡΠ°ΠΊΡΠΎΡΠ° Π½Π΅ΠΊΡΠΎΠ·Π° ΠΎΠΏΡΡ
ΠΎΠ»ΠΈ (TNF) Ξ± Π² ΠΏΠ»Π°Π·ΠΌΠ΅ ΠΊΡΠΎΠ²ΠΈ ΠΌΠ΅ΡΠΎΠ΄ΠΎΠΌ ΠΈΠΌΠΌΡΠ½ΠΎΡΠ΅ΡΠΌΠ΅Π½ΡΠ½ΠΎΠ³ΠΎ Π°Π½Π°Π»ΠΈΠ·Π°.Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΠΏΠΎΠΊΠ°Π·Π°Π»ΠΈ, ΡΡΠΎ Π΄ΠΎ ΠΎΠΏΠ΅ΡΠ°ΡΠΈΠΈ Ρ Π±ΠΎΠ»ΡΠ½ΡΡ
ΠΠΠ‘ ΠΎΠ±Π΅ΠΈΡ
Π³ΡΡΠΏΠΏ ΠΎΡΠΌΠ΅ΡΠ°Π»ΠΎΡΡ ΠΏΠΎΠ²ΡΡΠ΅Π½ΠΈΠ΅ ΠΏΠ»Π°Π·ΠΌΠ΅Π½Π½ΠΎΠΉ ΠΊΠΎΠ½ΡΠ΅Π½ΡΡΠ°ΡΠΈΠΈ IL-1Ξ², IL-6, IL-8, TNF-Ξ± ΠΈ IL-1ra. ΠΡΠΈ ΡΡΠΎΠΌ Π² ΡΠ»ΡΡΠ°Π΅ ΠΌΠ΅Π΄Π»Π΅Π½Π½ΠΎΠ³ΠΎ ΠΏΡΠΎΠ³ΡΠ΅ΡΡΠΈΡΠΎΠ²Π°Π½ΠΈΡ Π·Π°Π±ΠΎΠ»Π΅Π²Π°Π½ΠΈΡ ΠΊΠΎΠ½ΡΠ΅Π½ΡΡΠ°ΡΠΈΡ IL-4 Π² ΠΊΡΠΎΠ²ΠΈ ΡΠΎΡ
ΡΠ°Π½ΡΠ»Π°ΡΡ Π² ΠΏΡΠ΅Π΄Π΅Π»Π°Ρ
Π½ΠΎΡΠΌΡ, Π² ΡΠΎ Π²ΡΠ΅ΠΌΡ ΠΊΠ°ΠΊ ΠΏΡΠΈ Π±ΡΡΡΡΠΎ ΡΠ°Π·Π²ΠΈΠ²Π°ΡΡΠ΅ΠΉΡΡ ΠΠΠ‘ ΠΎΠ±Π½Π°ΡΡΠΆΠΈΠ²Π°Π»ΠΎΡΡ ΠΌΠ°ΠΊΡΠΈΠΌΠ°Π»ΡΠ½ΠΎ Π²ΡΡΠ°ΠΆΠ΅Π½Π½ΠΎΠ΅ ΡΠ²Π΅Π»ΠΈΡΠ΅Π½ΠΈΠ΅ ΡΠΎΠ΄Π΅ΡΠΆΠ°Π½ΠΈΡ ΠΏΡΠΎΠ²ΠΎΡΠΏΠ°Π»ΠΈΡΠ΅Π»ΡΠ½ΡΡ
(TNF-Ξ±, IL-6) ΠΈ ΠΏΡΠΎΡΠΈΠ²ΠΎΠ²ΠΎΡΠΏΠ°Π»ΠΈΡΠ΅Π»ΡΠ½ΡΡ
(IL-4, IL-1rΠ°) ΡΠΈΡΠΎΠΊΠΈΠ½ΠΎΠ² Π² ΠΊΡΠΎΠ²ΠΈ ΠΈ ΡΠΎΠΎΡΠ½ΠΎΡΠ΅Π½ΠΈΡ IL-1rΠ°/IL-1Ξ². ΠΠΎΡΠ»Π΅ ΠΊΠΎΡΠΎΠ½Π°ΡΠ½ΠΎΠ³ΠΎ ΡΡΠ½ΡΠΈΡΠΎΠ²Π°Π½ΠΈΡ Ρ Π±ΠΎΠ»ΡΠ½ΡΡ
ΠΠΠ‘ Ρ Π΄Π»ΠΈΡΠ΅Π»ΡΠ½ΡΠΌ Π°Π½Π°ΠΌΠ½Π΅Π·ΠΎΠΌ Π·Π°Π±ΠΎΠ»Π΅Π²Π°Π½ΠΈΡ ΠΎΡΠΌΠ΅ΡΠ°Π»ΠΎΡΡ ΡΠ²Π΅Π»ΠΈΡΠ΅Π½ΠΈΠ΅ ΡΠΎΠ΄Π΅ΡΠΆΠ°Π½ΠΈΡ IL-1Ξ², IL-8, TNF-Ξ±, IL-1rΠ°, IL-4 ΠΏΡΠΈ Π½ΠΎΡΠΌΠ°Π»ΠΈΠ·Π°ΡΠΈΠΈ ΠΊΠΎΠ½ΡΠ΅Π½ΡΡΠ°ΡΠΈΠΈ IL-6 Π² ΠΊΡΠΎΠ²ΠΈ; Ρ ΠΏΠ°ΡΠΈΠ΅Π½ΡΠΎΠ² Ρ ΠΊΠΎΡΠΎΡΠΊΠΈΠΌ ΠΏΠ΅ΡΠΈΠΎΠ΄ΠΎΠΌ ΡΠ°Π·Π²ΠΈΡΠΈΡ ΠΠΠ‘ β ΡΠΎΡΡ ΠΊΠΎΠ½ΡΠ΅Π½ΡΡΠ°ΡΠΈΠΈ IL-1rΠ°, Π²ΡΡΠΎΠΊΠΎΠ΅ ΡΠΎΠ΄Π΅ΡΠΆΠ°Π½ΠΈΠ΅ IL-6 ΠΏΡΠΈ ΡΠΎΡ
ΡΠ°Π½ΡΡΡΠ΅ΠΌΡΡ Π±Π΅Π· ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΠΉ ΡΡΠΎΠ²Π½Π΅ IL-1Ξ², IL-8, IL-4 ΠΈ ΠΎΡΡΠΈΡΠ°ΡΠ΅Π»ΡΠ½ΠΎΠΉ Π΄ΠΈΠ½Π°ΠΌΠΈΠΊΠ΅ ΠΊΠΎΠ½ΡΠ΅Π½ΡΡΠ°ΡΠΈΠΈ TNF-Ξ± Π² ΠΏΠ»Π°Π·ΠΌΠ΅ ΠΊΡΠΎΠ²ΠΈ.Π’Π°ΠΊΠΈΠΌ ΠΎΠ±ΡΠ°Π·ΠΎΠΌ, ΠΏΡΠΈ Π΄Π»ΠΈΡΠ΅Π»ΡΠ½ΠΎΠΌ ΡΠ΅ΡΠ΅Π½ΠΈΠΈ ΠΠΠ‘ Π²ΡΠΏΠΎΠ»Π½Π΅Π½ΠΈΠ΅ ΠΎΠΏΠ΅ΡΠ°ΡΠΈΠΈ Π² ΡΡΠ»ΠΎΠ²ΠΈΡΡ
ΠΠ Π²ΡΠ·ΡΠ²Π°Π΅Ρ ΡΠΎΡΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ Π‘ΠΠ , ΡΠ²ΠΎΠΉΡΡΠ²Π΅Π½Π½ΠΎΠΉ ΠΎΡΡΡΠΎΠΌΡ Π²ΠΎΡΠΏΠ°Π»Π΅Π½ΠΈΡ, ΠΈ ΠΊΠΎΠΎΡΠ΄ΠΈΠ½ΠΈΡΠΎΠ²Π°Π½Π½ΡΠΉ ΠΏΡΠΎΡΠΈΠ²ΠΎΠ²ΠΎΡΠΏΠ°Π»ΠΈΡΠ΅Π»ΡΠ½ΡΠΉ ΠΎΡΠ²Π΅Ρ, Π° ΠΏΡΠΈ ΠΊΠΎΡΠΎΡΠΊΠΎΠΌ ΠΏΠ΅ΡΠΈΠΎΠ΄Π΅ ΠΊΠΎΡΠΎΠ½Π°ΡΠ½ΠΎΠΉ Π±ΠΎΠ»Π΅Π·Π½ΠΈ β Π‘ΠΠ , Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠ½ΡΡ Π΄Π»Ρ Ρ
ΡΠΎΠ½ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ Π²ΠΎΡΠΏΠ°Π»Π΅Π½ΠΈΡ, ΠΈ Π½Π΅ΠΊΠΎΠΎΡΠ΄ΠΈΠ½ΠΈΡΠΎΠ²Π°Π½Π½ΡΠΉ ΠΏΡΠΎΡΠΈΠ²ΠΎΠ²ΠΎΡΠΏΠ°Π»ΠΈΡΠ΅Π»ΡΠ½ΡΠΉ ΠΎΡΠ²Π΅Ρ.
Broadening of Plasmonic Resonance Due to Electron Collisions with Nanoparticle Boundary: Π° Quantum Mechanical Consideration
We present a quantum mechanical approach to calculate broadening of plasmonic
resonances in metallic nanostructures due to collisions of electrons with the
surface of the structure. The approach is applicable if the characteristic size
of the structure is much larger than the de Broglie electron wavelength in the
metal. The approach can be used in studies of plasmonic properties of both
single nanoparticles and arrays of nanoparticles.Comment: 9 page
Π Π²ΠΎΠΏΡΠΎΡΡ ΠΎ Π΄ΠΈΡΡΠ΅ΡΠ΅Π½ΡΠΈΠ°Π»ΡΠ½ΠΎΠΉ Π΄ΠΈΠ°Π³Π½ΠΎΡΡΠΈΠΊΠ΅ Π°Π½Π΅ΠΌΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠΈΠ½Π΄ΡΠΎΠΌΠ° Ρ Π±Π΅ΡΠ΅ΠΌΠ΅Π½Π½ΡΡ
The review is dedicated to the diagnostics of hypochromic microcytic anemia among pregnant women with carbohydrate metabolism disorders by means of existing laboratory algorithm of examination. We give some data on the anemic syndrome in women with diabetes mellitus type 1. These data demonstrate an equal occurrence of anemia of chronic disorder and iron-deficiency anemia in this group of patients. Special attention is paid to the role of hepcidin in iron metabolism as well as to the mechanisms of regulation of hepcidin production under normal and pathological conditions. The review cites researches, which demonstrate the effectiveness of hepcidin measurement for differential diagnostics of anemic syndrome. We also touch upon the problem concerning treatment of anemia of chronic disorder.Π ΠΎΠ±Π·ΠΎΡΠ΅ ΡΠ°ΡΠΊΡΡΠ²Π°Π΅ΡΡΡ ΠΏΡΠΎΠ±Π»Π΅ΠΌΠ° Π΄ΠΈΡΡΠ΅ΡΠ΅Π½ΡΠΈΠ°Π»ΡΠ½ΠΎΠΉ Π΄ΠΈΠ°Π³Π½ΠΎΡΡΠΈΠΊΠΈ ΠΌΠΈΠΊΡΠΎΡΠΈΡΠ°ΡΠ½ΡΡ
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Π°Π½Π΅ΠΌΠΈΠΉ Ρ Π±Π΅ΡΠ΅ΠΌΠ΅Π½Π½ΡΡ
Ρ Π½Π°ΡΡΡΠ΅Π½ΠΈΠ΅ΠΌ ΡΠ³Π»Π΅Π²ΠΎΠ΄Π½ΠΎΠ³ΠΎ ΠΎΠ±ΠΌΠ΅Π½Π° ΠΏΡΠΈ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠΈ ΡΡΡΠ΅ΡΡΠ²ΡΡΡΠ΅Π³ΠΎ Π»Π°Π±ΠΎΡΠ°ΡΠΎΡΠ½ΠΎΠ³ΠΎ Π°Π»Π³ΠΎΡΠΈΡΠΌΠ° ΠΎΠ±ΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ. ΠΡΠΈΠ²ΠΎΠ΄ΡΡΡΡ Π΄Π°Π½Π½ΡΠ΅ ΠΎ Π½Π΅ΠΎΠ΄Π½ΠΎΡΠΎΠ΄Π½ΠΎΡΡΠΈ ΡΡΡΡΠΊΡΡΡΡ Π°Π½Π΅ΠΌΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠΈΠ½Π΄ΡΠΎΠΌΠ° Ρ ΠΆΠ΅Π½ΡΠΈΠ½ Ρ ΡΠ°Ρ
Π°ΡΠ½ΡΠΌ Π΄ΠΈΠ°Π±Π΅ΡΠΎΠΌ 1-Π³ΠΎ ΡΠΈΠΏΠ°. ΠΡΠΎΠ±ΠΎΠ΅ Π²Π½ΠΈΠΌΠ°Π½ΠΈΠ΅ ΡΠ΄Π΅Π»ΡΠ΅ΡΡΡ ΠΎΠΏΠΈΡΠ°Π½ΠΈΡ ΡΠΎΠ»ΠΈ Π³Π΅ΠΏΡΠΈΠ΄ΠΈΠ½Π° Π² ΠΌΠ΅ΡΠ°Π±ΠΎΠ»ΠΈΠ·ΠΌΠ΅ ΠΆΠ΅Π»Π΅Π·Π° ΠΈ ΠΌΠ΅Ρ
Π°Π½ΠΈΠ·ΠΌΠΎΠ² ΡΠ΅Π³ΡΠ»ΡΡΠΈΠΈ Π΅Π³ΠΎ ΠΏΡΠΎΠ΄ΡΠΊΡΠΈΠΈ Π² Π½ΠΎΡΠΌΠ΅ ΠΈ ΠΏΡΠΈ ΠΏΠ°ΡΠΎΠ»ΠΎΠ³ΠΈΠΈ. ΠΡΠΈΠ²ΠΎΠ΄ΡΡΡΡ ΡΡΡΠ»ΠΊΠΈ Π½Π° ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΉ, ΠΏΠΎΠ΄ΡΠ²Π΅ΡΠΆΠ΄Π°ΡΡΠΈΡ
ΡΠ΅Π»Π΅ΡΠΎΠΎΠ±ΡΠ°Π·Π½ΠΎΡΡΡ Π²ΠΊΠ»ΡΡΠ΅Π½ΠΈΡ Π³Π΅ΠΏΡΠΈΠ΄ΠΈΠ½Π° Π² Π°Π»Π³ΠΎΡΠΈΡΠΌΡ Π΄ΠΈΡΡΠ΅ΡΠ΅Π½ΡΠΈΠ°Π»ΡΠ½ΠΎΠΉ Π΄ΠΈΠ°Π³Π½ΠΎΡΡΠΈΠΊΠΈ ΡΠ°Π·Π»ΠΈΡΠ½ΡΡ
Π²ΠΈΠ΄ΠΎΠ² Π°Π½Π΅ΠΌΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠΈΠ½Π΄ΡΠΎΠΌΠ°. ΠΠ°ΡΡΠ°Π³ΠΈΠ²Π°Π΅ΡΡΡ Π²ΠΎΠΏΡΠΎΡ ΡΠ΅ΡΠ°ΠΏΠΈΠΈ Π°Π½Π΅ΠΌΠΈΠΈ Ρ
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