We prove the existence of solitons (finite energy solitary wave) for a Boussi- nesq system that arise in the study of the evolution of small amplitude long water waves including surface tension. This Boussinesq syst...
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We prove the existence of solitons (finite energy solitary wave) for a Boussi- nesq system that arise in the study of the evolution of small amplitude long water waves including surface tension. This Boussinesq system reduces to the generalized Benney-Luke equation and to the generalized Kadomtsev-Petviashivili equation in appropriate limits. The existence of solitons follows by a variational approach involving the Mountain Pass Theorem without the Palais-Smale condition. For surface tension sufficiently strong, we show that a suitable renormalized family of solitons of this model converges to a nontrivial soliton for the generalized KP-I equation.
Most of the toxicity data presented in the literature are obtained in relatively simple media, like distilled water. The literature reported that nanoparticles agglomerate immediately upon being added to cell culture ...
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Most of the toxicity data presented in the literature are obtained in relatively simple media, like distilled water. The literature reported that nanoparticles agglomerate immediately upon being added to cell culture media and if the agglomerates are used directly in antimicrobial studies, the interpretation of the toxicity results tends to be complicated. Six different molar ratios Ag-TiO2 composites were synthesized by a reduction method using two different commercial TiO2 particles as base materials and were used to find the aggregate size in distilled water and Mueller-Hinton Broth, and to obtain the minimum inhibitory concentrations (MIC) against E. coli and E. faecalis. To evaluate the evolution of the Ag-TiO2 particle size (z-average) three dilutions of each of the synthesized composites 100 μg/ml, 250 μg/mL and 500 μg/ml were realized in deionized water and Mueller Hinton broth. It was found that Ag-TiO2 composites increased in size after being diluted in Mueller-Hinton Broth, but once they grew in size, they remained constant for 24 minutes, and after this time, did not affect the MIC for the microorganisms involved.
Breast cancer is the number one cause of can- cer deaths among Hispanic women in the United States, and in Mexico, it recently became the primary cause of cancer deaths. This malign- nancy represents a poorly understo...
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Breast cancer is the number one cause of can- cer deaths among Hispanic women in the United States, and in Mexico, it recently became the primary cause of cancer deaths. This malign- nancy represents a poorly understood and un- derstudied disease in Hispanic women. The ELLA Binational Breast Cancer Study was es- tablished in 2006 as a multi-center study to as- sess patterns of breast tumor markers, clinical characteristics, and their risk factors in women of Mexican descent. We describe the design and implementation of the ELLA Study and provide a risk factor comparison between women in the U.S. and those in Mexico based on a sample of 765 patients (364 in the U.S. and 401 in Mexico). Compared to women in Mexico, U.S. women had significantly (p < 0.05) lower parity (3.2 vs. 3.9 mean live births) and breastfeeding rates (57.5% vs. 80.5%), higher use of oral contraceptives (60.7% vs. 50.1%) and hormone replacement therapy (23.3% vs. 7.6%), and higher family history of breast cancer (15.7% vs. 9.0%). Re- sults show that differences in breast cancer risk factor patterns exist between Mexico and U.S. women. We provide lessons learned from the conduct of our study. Binational studies are an important step in understanding disease pat- terns and etiology for women in both countries.
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