Therapeutic respiratory and functional rehabilitation protocol for intensive care unit patients affected by COVID-19: a structured summary of a study protocol for a randomised cont... by Ana Cristina Carvalho, Jorge Moreira, Pedro Cubelo, Pedro Cantista, Catarina Aguiar Branco, Bruno Guimarães

“…As for the treating physiotherapists and ICU staff, blinding will not be possible to achieve, but they will not be responsible for assessing outcomes. Numbers to be randomised (sample size) We plan to randomise 40 participants to each group. 80 participants in total. …”
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Probiotics to reduce antibiotic administration in care home residents aged 65 years and older: the PRINCESS RCT by Christopher C Butler, Eleri Owen-Jones, Mandy Lau, David Gillespie, Mark Lown, Philip C Calder, Helen Stanton, Mandy Wootton, Vivian Castro Herrera, Antony Bayer, Jane Davies, Alison Edwards, Mina Davoudianfar, Heather Rutter, Kerenza Hood, Michael Moore, Paul Little, Victoria Shepherd, Rachel Lowe, Elizabeth A Miles, Julia Townson, FD Richard Hobbs, Nick A Francis

“…There was no evidence that this probiotic combination improved blood immune cell numbers, subtypes or responses to seasonal influenza vaccination. …”
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Estimating the Potential and Factors Affecting Desert Tourism in Protected Areas of Coastal Deserts (Case study: Hemag Protected Area of Hormozgan) by Abdollah Cham Cham, Marzieh Rezaei, Yahya Esmaill poor

“…The most significant reason for the lack of suitability in terms of numbers was the lack of wildlife in the region, according to the results of the suitability test.…”
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Synthesis of M-Ag₃PO₄, (M = Se, Ag, Ta) Nanoparticles and Their Antibacterial and Cytotoxicity Study by Faiza Qureshi, Muhammad Nawaz, Mohammad Azam Ansari, Firdos Alam Khan, Mahmoud M. Berekaa, Samar A. Abubshait, Rayyanah Al-Mutairi, Alok K. Paul, Veeranoot Nissapatorn, Maria de Lourdes Pereira, Polrat Wilairatana

“…Apoptotic assay revealed that the numbers of DAPI stained cells were significantly lower in the M-Ag₃PO₄-treated cells versus control.…”
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Metallic Structures for Tangent Bundles over Almost Quadratic <i>ϕ</i>-Manifolds by Mohammad Nazrul Islam Khan, Sudhakar Kumar Chaubey, Nahid Fatima, Afifah Al Eid

“…This paper aims to explore the metallic structure <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>J</mi><mn>2</mn></msup><mo>=</mo><mi>p</mi><mi>J</mi><mo>+</mo><mi>q</mi><mi>I</mi><mo>,</mo></mrow></semantics></math></inline-formula> where <i>p</i> and <i>q</i> are natural numbers, using complete and horizontal lifts on the tangent bundle <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>T</mi><mi>M</mi></mrow></semantics></math></inline-formula> over almost quadratic <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ϕ</mi></semantics></math></inline-formula>-structures (briefly, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>ϕ</mi><mo>,</mo><mi>ξ</mi><mo>,</mo><mi>η</mi><mo>)</mo></mrow></semantics></math></inline-formula>). …”
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Even Order Half-Linear Differential Equations with Regularly Varying Coefficients by Vojtěch Růžička

“…We establish nonoscillation criterion for the even order half-linear differential equation <inline-formula><math display="inline"><semantics><mrow><msup><mrow><mo>(</mo><mo>−</mo><mn>1</mn><mo>)</mo></mrow><mi>n</mi></msup><msup><mfenced separators="" open="(" close=")"><msub><mi>f</mi><mi>n</mi></msub><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mo>Φ</mo><mfenced separators="" open="(" close=")"><msup><mi>x</mi><mrow><mo>(</mo><mi>n</mi><mo>)</mo></mrow></msup></mfenced></mfenced><mrow><mo>(</mo><mi>n</mi><mo>)</mo></mrow></msup><mo>+</mo><msubsup><mo>∑</mo><mrow><mi>l</mi><mo>=</mo><mn>1</mn></mrow><mi>n</mi></msubsup><msup><mrow><mo>(</mo><mo>−</mo><mn>1</mn><mo>)</mo></mrow><mrow><mi>n</mi><mo>−</mo><mi>l</mi></mrow></msup><msub><mi>β</mi><mrow><mi>n</mi><mo>−</mo><mi>l</mi></mrow></msub><msup><mfenced separators="" open="(" close=")"><msub><mi>f</mi><mrow><mi>n</mi><mo>−</mo><mi>l</mi></mrow></msub><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mo>Φ</mo><mfenced separators="" open="(" close=")"><msup><mi>x</mi><mrow><mo>(</mo><mi>n</mi><mo>−</mo><mi>l</mi><mo>)</mo></mrow></msup></mfenced></mfenced><mrow><mo>(</mo><mi>n</mi><mo>−</mo><mi>l</mi><mo>)</mo></mrow></msup><mo>=</mo><mn>0</mn><mo>,</mo></mrow></semantics></math></inline-formula> where <inline-formula><math display="inline"><semantics><mrow><msub><mi>β</mi><mn>0</mn></msub><mo>,</mo><msub><mi>β</mi><mn>1</mn></msub><mo>,</mo><mo>…</mo><mo>,</mo><msub><mi>β</mi><mrow><mi>n</mi><mo>−</mo><mn>1</mn></mrow></msub></mrow></semantics></math></inline-formula> are real numbers, <inline-formula><math display="inline"><semantics><mrow><mi>n</mi><mo>∈</mo><mi mathvariant="double-struck">N</mi></mrow></semantics></math></inline-formula>, <inline-formula><math display="inline"><semantics><mrow><mo>Φ</mo><mrow><mo>(</mo><mi>s</mi><mo>)</mo></mrow><mo>=</mo><msup><mfenced open="|" close="|"><mi>s</mi></mfenced><mrow><mi>p</mi><mo>−</mo><mn>1</mn></mrow></msup><mi>sgn</mi><mi>s</mi></mrow></semantics></math></inline-formula> for <inline-formula><math display="inline"><semantics><mrow><mi>s</mi><mo>∈</mo><mi mathvariant="double-struck">R</mi></mrow></semantics></math></inline-formula>, <inline-formula><math display="inline"><semantics><mrow><mi>p</mi><mo>∈</mo><mo>(</mo><mn>1</mn><mo>,</mo><mo>∞</mo><mo>)</mo></mrow></semantics></math></inline-formula> and <inline-formula><math display="inline"><semantics><msub><mi>f</mi><mrow><mi>n</mi><mo>−</mo><mi>l</mi></mrow></msub></semantics></math></inline-formula> is a regularly varying (at infinity) function of the index <inline-formula><math display="inline"><semantics><mrow><mi>α</mi><mo>−</mo><mi>l</mi><mi>p</mi></mrow></semantics></math></inline-formula> for <inline-formula><math display="inline"><semantics><mrow><mi>l</mi><mo>=</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>,</mo><mo>…</mo><mo>,</mo><mi>n</mi></mrow></semantics></math></inline-formula> and <inline-formula><math display="inline"><semantics><mrow><mi>α</mi><mo>∈</mo><mi mathvariant="double-struck">R</mi></mrow></semantics></math></inline-formula>. …”
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Molecular selection of therapy in metastatic colorectal cancer: the FOCUS4 molecularly stratified RCT by Louise C Brown, David Fisher, Richard Adams, Jenny Seligmann, Matthew Seymour, Richard Kaplan, Susan D Richman, Philip Quirke, Rachel Butler, Helen Roberts, Janet Graham, Richard H Wilson, Timothy S Maughan

“…Limitations: FOCUS4-C and FOCUS4-N were closed early owing to COVID-19, so did not accrue their planned recruitment numbers. Conclusions: Adaptive stratified medicine studies are feasible in common cancers but present challenges. …”
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Efficacy of Alginate-Antacid Medication in the Treatment of Patients with Gastroesophageal Reflux Disease by O. A. Storonova, A. S. Trukhmanov, V. T. Ivashkin

“…On the 5th day of treatment, heartburn was neutralized in 8 (66.7 %), 7 (58.3 %) and 9 (75 %) patients, with these numbers having risen to 10 (83.3 %), 9 (75 %) and 10 (83.3 %) patients (in the respective groups) on the 14th day. …”
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2358 Expanding our educational reach: Development of a massive open online course (MOOC) by Nicole L. O’Dell, Eric Fredericksen, Sarah Peyre

“…The 15 highest enrollment numbers are: (a) USA 25%, (b) India 11%, (c) Egypt 3.7%, (d) United Kingdom 3.4%, (e) Mexico 3.2%, (f) Brazil 2.8%, (g) China 2.8%, (h) Saudi Arabia 2.2%, (i) Spain 2.2%, (j) Germany 1.7%, (k) Russian Federation 1.7%, (l) Malaysia 1.5%, (m) Turkey 1.5%, (n) Italy 1.5%, and (o) Canada 1.5%. (3) Gender: 48% women and 50% men. (4) Age: (a) 13–17: 0.72%, (b) 18–24: 19.6%, (c) 25–34: 44%, (d) 35–44: 14.4%, (e) 45–54: 8.6%, (f) 55–64: 7.2%, (g) 65+: 3.6%. (5)Highest Education Level o Doctorate Degree: 17%; (a) Professional School Degree: 14%; (b) Master’s Degree: 31%; (c) Bachelor’s Degree: 27%; (d) Associate’s Degree: 2.3%; (e) Some College But No Degree: 4.5%; (f) High School Diploma: 3.8%; (g) Some High School: 0.75%. …”
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A Realistic Theory of Law (Book Review) by Syahrul Fauzul Kabir

“…Based on this description, the author is interested in exploring Tamanaha's legal thinking; outlining his opinions on the essence of law, through his newest book which numbered 202 pages.             The first part of the book discusses three most prominent theories or legal philosophies (Jurisprudence) in various legal discourses: The School of analytical law (legal positivism), philosophical/ethical (natural law) and historical (historical schools). …”
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DIY Health and Wellbeing: The Hackers and Makers Outpacing Manufacturers and Researchers by Aisling Ann O'Kane

“…DIY and making activities, such as hacking, tinkering, repairing and crafting, are growing in popularity [1], and increasing numbers of people are motivated to share their open-source designs with a larger audience, often without compensation for their time. …”
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A school-based intervention (‘Girls Active’) to increase physical activity levels among 11- to 14-year-old girls: cluster RCT by Deirdre M Harrington, Melanie J Davies, Danielle Bodicoat, Joanna M Charles, Yogini V Chudasama, Trish Gorely, Kamlesh Khunti, Alex V Rowlands, Lauren B Sherar, Rhiannon Tudor-Edwards, Thomas Yates, Charlotte L Edwardson

“…Subgroup analyses showed a significant effect of the intervention for those schools with higher numbers of pupils at 14 months. Girls Active was well received by teachers, and they reported that implemented strategies and activities were having a positive impact in schools. …”
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Preventing blood-borne virus infection in people who inject drugs in the UK: systematic review, stakeholder interviews, psychosocial intervention development and feasibility random... by Gail Gilchrist, Davina Swan, April Shaw, Ada Keding, Sarah Towers, Noel Craine, Alison Munro, Elizabeth Hughes, Steve Parrott, Noreen Mdege, John Strang, Avril Taylor, Judith Watson

“…However, we have identified aspects where the service use questionnaire could be abbreviated given the low numbers reported in several care domains. No adverse events were reported. …”
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Self-sampling kits to increase HIV testing among black Africans in the UK: the HAUS mixed-methods study by Maureen Seguin, Catherine Dodds, Esther Mugweni, Lisa McDaid, Paul Flowers, Sonali Wayal, Ella Zomer, Peter Weatherburn, Ibidun Fakoya, Thomas Hartney, Lorraine McDonagh, Rachael Hunter, Ingrid Young, Shabana Khan, Nick Freemantle, Jabulani Chwaula, Memory Sachikonye, Jane Anderson, Surinder Singh, Eleni Nastouli, Greta Rait, Fiona Burns

“…Limitations: Owing to the study failing to recruit adequate numbers (the intended sample was 1200 participants), we were unable to evaluate the clinical effectiveness of SSKs in increasing HIV testing in black African people. …”
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A pilot study of therapeutic plasma exchange for serious SARS CoV-2 disease (COVID-19): A structured summary of a randomized controlled trial study protocol by Fahad Faqihi, Abdulrahman Alharthy, Mohammed Alodat, Daood Asad, Waleed Aletreby, Demetrios J. Kutsogiannis, Peter G. Brindley, Dimitrios Karakitsos

“…The lack of allocation concealment will be mitigated by several measures (please, refer to the full protocol, Additional file 1). Numbers to be randomized (sample size) This pilot randomized trial aims to recruit a convenience sample of patients with serious and/or life-threatening COVID-19. …”
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On <i>σ</i>-Residuals of Subgroups of Finite Soluble Groups by A. A. Heliel, A. Ballester-Bolinches, Mohammed Al-Shomrani, R. A. Al-Obidy

“…Let <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>σ</mi><mo>=</mo><mo>{</mo><msub><mi>σ</mi><mi>i</mi></msub><mo>:</mo><mi>i</mi><mo>∈</mo><mi>I</mi><mo>}</mo></mrow></semantics></math></inline-formula> be a partition of the set of all prime numbers. A subgroup <i>H</i> of a finite group <i>G</i> is said to be <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>σ</mi></semantics></math></inline-formula>-<i>subnormal</i> in <i>G</i> if <i>H</i> can be joined to <i>G</i> by a chain of subgroups <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>H</mi><mo>=</mo><msub><mi>H</mi><mn>0</mn></msub><mo>⊆</mo><msub><mi>H</mi><mn>1</mn></msub><mo>⊆</mo><mo>⋯</mo><mo>⊆</mo><msub><mi>H</mi><mi>n</mi></msub><mo>=</mo><mi>G</mi></mrow></semantics></math></inline-formula> where, for every <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>j</mi><mo>=</mo><mn>1</mn><mo>,</mo><mo>⋯</mo><mo>,</mo><mi>n</mi></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mrow><mi>j</mi><mo>−</mo><mn>1</mn></mrow></msub></semantics></math></inline-formula> is normal in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mi>j</mi></msub></semantics></math></inline-formula> or <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>H</mi><mi>j</mi></msub><mo>/</mo><mi>C</mi><mi>o</mi><mi>r</mi><msub><mi>e</mi><msub><mi>H</mi><mi>j</mi></msub></msub><mrow><mo>(</mo><msub><mi>H</mi><mrow><mi>j</mi><mo>−</mo><mn>1</mn></mrow></msub><mo>)</mo></mrow></mrow></semantics></math></inline-formula> is a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>σ</mi><mi>i</mi></msub></semantics></math></inline-formula>-group for some <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>i</mi><mo>∈</mo><mi>I</mi></mrow></semantics></math></inline-formula>. …”
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Unravelling the Antimicrobial, Antibiofilm, Suppressing <i>Fibronectin Binding Protein A</i> (<i>fnba</i>) and <i>cna</i> Virulence Genes, Anti-Inflammatory and Antioxidant Potenti... by Alsayed E. Mekky, Ahmed E. M. Abdelaziz, Fady Sayed Youssef, Shymaa A. Elaskary, Aly A. Shoun, Eman A. Alwaleed, Mahmoud Ali Gaber, Abdulaziz A. Al-Askar, Alhadary M. Alsamman, Abdullah Yousef, Gehad AbdElgayed, Reda A. Suef, Mohamed A Selim, Ebrahim Saied, Mohamed Khedr

“…These two genes were submitted with NCBI accession numbers [OR682119] and [OR682118], respectively. <i>Conclusions</i>: The findings from this study indicate that biosynthesized AgNPs from <i>Solanum lycopersicum</i> exhibit promising antimicrobial and antioxidant properties against UTI pathogens, including strains resistant to multiple antibiotics. …”
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Anabolic steroids for rehabilitation after hip fracture in older people by Vaqas Farooqi, Maayken E. L. van den Berg, Ian D. Cameron, Maria Crotty

“…This found very low quality evidence of little difference between the two groups in the numbers discharged to a higher level of care or dead (one person in the control group died) (8/15 versus 10/14; risk ratio (RR) 0.75, 95% confidence interval (CI) 0.42 to 1.33; P = 0.32), time to independent mobilization or individual adverse events. …”
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New Bounds for Arithmetic Mean by the Seiffert-like Means by Ling Zhu

“…By using the power series of the functions <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1</mn><mo>/</mo><msup><mo form="prefix">sin</mo><mi>n</mi></msup><mi>t</mi></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mfenced separators="" open="(" close=")"><mo form="prefix">cos</mo><mi>t</mi></mfenced><mo>/</mo><mfenced separators="" open="(" close=")"><msup><mo form="prefix">sin</mo><mi>n</mi></msup><mi>t</mi></mfenced></mrow></semantics></math></inline-formula> (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>n</mi><mo>=</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>5</mn></mrow></semantics></math></inline-formula>), and the estimation of the ratio of two adjacent Bernoulli numbers, we obtained new bounds for arithmetic mean <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">A</mi></semantics></math></inline-formula> by the weighted arithmetic means of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mi mathvariant="script">M</mi><mrow><mo form="prefix">tan</mo></mrow><mrow><mn>1</mn><mo>/</mo><mn>3</mn></mrow></msubsup><msubsup><mi mathvariant="script">M</mi><mrow><mo form="prefix">sin</mo></mrow><mrow><mn>2</mn><mo>/</mo><mn>3</mn></mrow></msubsup></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mfrac><mn>1</mn><mn>3</mn></mfrac><msub><mi mathvariant="script">M</mi><mo form="prefix">tan</mo></msub><mo>+</mo><mfrac><mn>2</mn><mn>3</mn></mfrac><msub><mi mathvariant="script">M</mi><mo form="prefix">sin</mo></msub><mo>,</mo></mrow></semantics></math></inline-formula><inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mi mathvariant="script">M</mi><mrow><mo form="prefix">tanh</mo></mrow><mrow><mn>1</mn><mo>/</mo><mn>3</mn></mrow></msubsup><msubsup><mi mathvariant="script">M</mi><mrow><mo form="prefix">sinh</mo></mrow><mrow><mn>2</mn><mo>/</mo><mn>3</mn></mrow></msubsup></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mfrac><mn>1</mn><mn>3</mn></mfrac><msub><mi mathvariant="script">M</mi><mo form="prefix">tanh</mo></msub><mo>+</mo><mfrac><mn>2</mn><mn>3</mn></mfrac><msub><mi mathvariant="script">M</mi><mo form="prefix">sinh</mo></msub><mo>,</mo></mrow></semantics></math></inline-formula> where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="script">M</mi><mo form="prefix">tan</mo></msub><mrow><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="script">M</mi><mo form="prefix">sin</mo></msub><mrow><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="script">M</mi><mo form="prefix">tanh</mo></msub><mrow><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="script">M</mi><mo form="prefix">sinh</mo></msub><mrow><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> are the tangent mean, sine mean, hyperbolic tangent mean and hyperbolic sine mean, respectively. …”
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Protective effect of butylated hydroxytoluene (BHT) against the clastogenic acitivity of cadmium chloride and potassium dichromate in hamster ovary cells by Claudia A. Grillo, Analía I. Seoane, Fernando N. Dulout

“…Significant increases of numbers of chromatin bridges, lagging chromosomes and lagging fragments were found in cells treated with PD. …”
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