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Distribution and Relation of Primes with Tesla Numbers 3, 6, and 9

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Journal of Applied Mathematics and Physics 2024年第4期12卷 1021-1027页

作者： Javier Mendoza-Navarrete Huetzin Perez Ismael Ojeda Victor Verdugo Gabriel Luna Sandoval ricardo Jimenez garcia Jaime Alvarez Departametno de Matemá ticas CBTis 256 DGETI Cabo San Lucas M&#233xico DCI Departamento de Fisica Mé dica Universidad de Guanajuato Leon M&#233xico Divisió n de Ingenieria en Sistemas Computacionales Tecnol&#243gico Nacional de M&#233xico ITES Los Cabos Cabo San Lucas M&#233xico Departamento de Ingenieria Industrial en Manufactura Universidad Estatal de Sonora Navojoa M&#233xico Departamento de Elé ctrica-Electr&#243nica Tecnol&#243gico Nacional de M&#233xico Campus Mexicali Mexicali M&#233xico Guanajuato M&#233xico

This work presents a different approach to twin primes, an approach from the perspective of the Tesla numbers and gives a refresh and new observation of twin primes that could lead us to an answer to the Twin Prime Conjecture problem. We expose a peculiar relation between twin primes and the generation of prime numbers with Tesla numbers. Tesla numbers seem to be present in so many domains like time, vibration and frequency [1], and the space between twin primes is not the exception. Let us say that twin primes are more than just prime numbers plus 2 or minus 2, and Tesla numbers are more involved with twin primes than we think, and hopefully, this approach give us a better understanding of the distribution of the twin pairs.

关键词： Tesla Numbers Prime Number Twin Prime Numbers Twin Pair

The Nikola Tesla Constant and Its Relation to the Circumference Inscribed in a Square

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Journal of Applied Mathematics and Physics 2024年第1期12卷 277-283页

作者： Javier Mendoza Navarrete José Ismael Ojeda Campaña Huetzin Perez Gabriel Luna-Sandoval Victor Verdugo ricardo Jiménez garcia Departamento de Matemáticas CBTis 256 DGETI Cabo San Lucas México División de Ingeniería en Sistemas Computacionales Tecnológico Nacional de México/ITES de Los Cabos Cabo San Lucas México DCI Departamento de Física Médica Universidad de Guanajuato León México Departamento de Ingeniería Industrial en Manufactura Universidad Estatal de Sonora Navojoa México Departamento de Eléctrica-Electrónica Tecnológico Nacional de México Campus Mexicali Mexicali México

This research work relates the surface of a square and the area circumscribed by a circle, resulting in a value called Nikola Tesla constant. This constant starts with the calculation of the areas of the square and the inscribed circle, giving a ratio of 9/40 and from which a residual area of the area proportions of the geometric figures described is obtained. Plotting smooth curves, particularly those in round shapes, can be represented efficiently with the use of Nikola Tesla constant, reducing complex mathematical calculus.

关键词： Tesla Numbers Prime Number Circle Binary Area

Effect of Mushroom Extract Hericium erinaceus on Spatial Memory and Morphology of Neurons in the CA1 and CA3 Regions of the Hippocampus in Ovariectomized Rats

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Open Journal of Veterinary Medicine 2024年第7期14卷 163-179页

作者： Lucia garcia-Delgado Mariana Monserrath Verdía-Venegas Jacinto Bañuelos-Pineda Esther Albarrán-Rodríguez Guillermo Nolasco-Rodriguez José ricardo Cuellar-Pérez Sergio Fausto-Guerra Manuel Rosales-Cortés Master in Behavioral Sciences Institute of Neurosciences University of Guadalajara Zapopan Mexico Department of Veterinary Medicine Division of Veterinary Sciences CUCBA University of Guadalajara Zapopan Mexico Botany and Zoology Laboratory CUCBA University of Guadalajara Zapopan Mexico

Various studies indicate that low levels of estradiol negatively impact cognitive abilities. Extracts from the fungus Hericium erinaceus (HE) contain bioactive components that promote the proper functioning of the nervous system and potential effects on protection against neurodegenerative diseases, including dementia and motor dysfunctions. The objective was to evaluate the effects of the administration of the HE mushroom extract on visuospatial memory and morphology of neurons in the CA1 and CA3 regions of the hippocampus in ovariectomized rats. 40 young Wistar rats weighing 90 ± 10 g BW were used, which were distributed into four groups of 10 animals;Control Group, non-ovariectomized and untreated rats;Group E2, ovariectomized rats treated with estradiol (2 μg/kg/body weight);Group HE, ovariectomized rats treated with the extract of the fungus Hericium erinaceus (0.5 mg/kg body weight) and Group Ovx/ST, ovariectomized rats, without treatment. The animals were tested in the Barnes and Open Field maze, then they were sacrificed, and their brains were obtained to perform a histological analysis of neuronal morphology in the CA1 and CA3 areas of the hippocampus. The most outstanding results showed that the Ovx/ST group recorded the longest time to arrive at the escape box and stay in the Barnes maze. A correlation was observed between neuronal damage and function;in the groups that did not present satisfactory performance in the maze tests, morphological alterations were identified such as the presence of some neuronal somata with degeneration characteristics such as pyknosis, nuclear basophilia and shrinkage of the cells. Its soma, as well as a decrease in the nuclear area of CA1 and CA3 neurons. It is concluded that the fungus Hericium erinaceus exerted a neuroprotective effect on the neuronal bodies of the hippocampus, associated with better performance in the visuospatial recognition memory test.

关键词： Ovariectomized Rats Ovarian Hypofunction Estradiol Hericium erinaceus Barnes Circular Labyrinth Open Field Labyrinth

Induced pluripotent stem cells from Huntington's disease patients:a promising approach to define and correct disease-related alterations

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Neural Regeneration Research 2019年第5期14卷 769-770页

作者： Azra Fatima ricardo Gutiérrez-garcia David Vilchez Institute for Genetics and Cologne Excellence Cluster for Cellular Stress Responses in Aging-Associated Diseases(CECAD) University of Cologne

Adult somatic cells such as skin or blood cells from either health donors or patients can be reprogrammed into induced pluripotent stem cells(iPSCs).Given their unlimited self-renewal and differentiation capacities,iPSCs are an invaluable resource to generate terminally differentiated ***,iPSCs can facilitate the study of human diseases and drug screening,holding great promise for regenerative *** significant advantage of iPSC disease-modeling is that normal and mutant proteins are expressed at endogenous *** addition,subtle phenotypes and the effects of genetic background variations can be assessed by comparison between iPSC lines obtained from different patients and healthy donors as well as isogenic lines,in which disease-related mutations are corrected.

关键词： Adult somatic cells skin or blood cells Huntington’s disease patients

Exploring kidney biopsy findings in congenital heart diseases:Insights beyond cyanotic nephropathy

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World Journal of Nephrology 2024年第1期13卷 25-32页

作者： Jose Daniel Juarez-Villa Iván Zepeda-Quiroz Sebastián Toledo-Ramírez Victor Hugo Gomez-Johnson Francisco Pérez-Allende Brian ricardo Garibay-Vega Francisco E Rodríguez Castellanos Bernardo Moguel-González Edgar garcia-Cruz Salvador Lopez-Gil Department of Nephrology Instituto Nacional de Cardiología Ignacio ChavezMexico City 14080Mexico Congenital Heart Disease Instituto Nacional de Cardiología Ignacio ChavezMexico City 14080Mexico

BACKGROUND The association between congenital heart disease and chronic kidney disease is well *** mechanisms of kidney damage associated with congenital heart disease have been *** etiology of kidneydisease has commonly been considered to be secondary to focal segmental glomerulosclerosis(FSGS),however,this has only been demonstrated in case reports and not in observational or clinical *** To identify baseline and clinical characteristics,as well as the findings in kidney biopsies of patients with congenital heart disease in our *** This is a retrospective observational study conducted at the Nephrology Depart-ment of the National Institute of Cardiology“Ignacio Chávez”.All patients over 16 years old who underwent percutaneous kidney biopsy from January 2000 to January 2023 with congenital heart disease were included in the *** Ten patients with congenital heart disease and kidney biopsy were *** average age was 29.00 years±15.87 years with pre-biopsy proteinuria of 6193 mg/24 h±6165 mg/24 *** most common congenital heart disease was Fallot’s tetralogy with 2 cases(20%)and ventricular septal defect with 2(20%)*** the 10 cases,one case of IgA nephropathy and one case of membranoproliferative glomerulonephritis associated with immune complexes were found,receiving specific treatment after histopathological diagnosis,delaying the initiation of kidney replacement *** remaining 8 cases(80%),one case of FSGS with perihilar variety was found,while the other 7 cases were non-specific *** Determining the cause of chronic kidney disease can help in delaying the need for kidney replacement *** 2 out of 10 patients in our study,interventions were performed,and initiation of kidney replacement therapy was *** studies are needed to determine the usefulness of kidney biopsy in patients with congenital heart disease.

关键词： Renal biopsy Congenital heart disease Chronic kidney disease Focal segmental glomerulosclerosis

Validity of automated refraction after segmented refractive multifocal intraocular lens implantation

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International Journal of Ophthalmology(English edition) 2017年第11期10卷 1728-1733页

作者： Cesar Albarran-Diego Gonzalo Munoz Stephanie Rohrweck Satiago garcia-Lazaro Jose ricardo Albero Clinica Baviera Castellon Castellon de la Plana 12001 Spain Optics Optometry and Vision Sciences Department University of Valencia Burjassot 46100 Spain

AIM： To evaluate the clinical utility of automated refraction（AR） and keratometry（KR） compared with subjective or manifest refraction（MR） after cataract or refractive lens exchange surgery with implantation of Lentis Mplus X（Oculentis GmbH） refractive multifocal intraocular lens（IOL）.METHODS： Eighty-six eyes implanted with the Lentis Mplus X multifocal IOL were included. MR was performed in all patients followed by three consecutive AR measurements using the Topcon KR-8000 autorefractor. Assessment of repeatability of consecutive AR before and after dilation with phenylephrine 10%, and comparison of the AR and KR with MR using vector analysis were performed at 3 mo ***： Analysis showed excellent repeatability of the AR measurements. Linear regression of AR versus MR showed good correlation for sphere and spherical equivalent, whereas the correlation for astigmatism was low. The mean difference AR-MR was-1.28±0.29 diopters（D） for sphere. Astigmatism showed better correlation between KR and MR. CONCLUSION： We suggest AR sphere plus 1.25 D and the KR cylinder as the starting point for MR in eyes with a Lentis Mplus X multifocal IOL. If AR measurements are equal to MR, decentration of the IOL should be suspected.

关键词： autorefraction vector analysis agreement multifocal intraocular lenses

Guanidine derivative inhibits C. albicans biofilm growth on denture liner without promote loss of materials’ resistance

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Bioactive Materials 2020年第2期5卷 228-232页

作者： Isadora Martini garcia Stéfani Becker Rodrigues Maria Eduarda Rodrigues Gama Vicente Castelo branco Leitune Mary Anne Melo Fabrício Mezzomo Collares Dental Materials Laboratory Postgraduate Program in DentistrySchool of DentistryFederal University of Rio Grande Do SulRua Ramiro Barcelos2492Rio Branco90035-003Porto AlegreRSBrazil Ph.D.Program in Biomedical Sciences University of Maryland School of DentistryBaltimoreMD21201USA Operative Dentistry Division General Dentistry Department University of Maryland School of DentistryBaltimoreMD21201USA

To reduce the burden of denture stomatitis and oral candidiasis,an aqueous solution containing polyhexamethylene guanidine hydrochloride(PHMGH)was investigated as an antifungal disinfectant against the leading cause of these oral conditions,Candida *** solutions formulated with concentrations ranging from 0.125 to 0.50 wt%enabled increasing disinfection at the initial 5min-contact with 72h-mature candida biofilms formed on denture liner *** 10 min-contact,the solution at lower concentration has reached total fungal *** results also indicated that the denture liners preserved their mechanical property after the maximum contact time with the solution at the highest tested *** PHMGH aqueous solutions at 0.125 wt%could be applied to promote interim denture liner disinfection without promoting the loss of materials’mechanical property.

关键词： Dental materials Guanidine Antifungal agents Candidiasis Denture liner

Robotic4all project:Results of a hands-on robotic surgery training program

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Laparoscopic, Endoscopic and Robotic Surgery 2023年第1期6卷 1-8页

作者： Mario Rui Gonçalves Jose Novo de Matos Antonio Oliveira ricardo Marinho Irene Cadime Palmira Carlos Alves Salvador Morales-Conde Miguel Castelo-branco Faculty of Health Sciences University of Beira InteriorCovilha 6200-506Portugal Centro Hospitalar Universitario Lisboa Central Hospital de Sao JoseLisboa 1150-199Portugal Centro Hospitalar de Tras-os-Montes e Alto Douro Vila Real 5000-508Portugal Centro Hospitalar de Leiria Hospital de Santo AndreLeiria 2410-197Portugal Centro de Investigaçao em Psicologia Escola de Psicologia-Universidade do MinhoBraga 4710-057Portugal Departamento de Estudos Curriculares e Tecnologia Educativa Instituto de Educaçao-Universidade do MinhoCampus de GualtarBraga 4710-093Portugal Unit of Innovation in Minimally Invasive Surgery University Hospital Virgen del RocioUniversity of SevillaSeville 41013Spain

Objective Although robotic surgery adoption and its indications are growing worldwide,for multiple factors,including costs,there is a lack of training and *** aim was to study the impact of a robotic introduction training program on gesture performance,such as suturing,in robot-naive *** Using the DaVinci robot,a 2-hour program was based on virtual reality and anatomical model *** participants performed 3 repetitions of virtual reality exercises on the virtual simulator,and then performed and were assessed on 2 tests,ie robot and laparoscopic training *** the course,the participants were surveyed for this training *** Twenty-seven residents and surgeons were enrolled in the training *** only 2 hours of training,all of the participants were able to complete the training program,thus learning generic and specific skills in robotic *** virtual reality exercise,the scores of the 3 exercises increased significantly with every repetition(p<0.001)and the size of the increase was *** completion time on the robot platform was 2.6 times faster(169.33±28.28 s vs.447.96±156.55 s,p<0.001)than that in the laparoscopic box,and the difference between both types of tests was large(pη2=0.797).The centralization and passage of the needle were significantly better on the robot platform(5 vs.3,p<0.001,r=0.47;5 vs.4,p<0.001,r=0.59)than in the laparoscopic *** the intracorporeal stitch+knot test,every participant was able to perform the exercise on the robot but only 85.2%(23/27)in the laparoscopic ***-one participants answered the survey,and 13(61.9%)of them considered robotic performance independent of laparoscopic *** Surgeons are interested and seek training in robotic *** implemented the first hands-on robotic surgery training program in Portugal and participants considered it was important and adequate for its *** participants,even without robotic experience,lear

关键词： Simulation Education Laparoscopic suture Laparoscopy Robotic surgery

Ionic liquid-loaded microcapsules doped into dental resin infiltrants

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Bioactive Materials 2021年第9期6卷 2667-2675页

作者： Marla Cuppini Isadora Martini garcia Virgínia Serra de Souza Kelly Cristine Zatta Fernanda Visioli Vicente Castelo branco Leitune Sílvia Stanisçuazki Guterres Jackson Damiani Scholten Fabrício Mezzomo Collares Department of Dental Materials School of DentistryFederal University of Rio Grande do SulRamiro Barcelos Street2492Rio Branco90035-003Porto AlegreRSBrazil Laboratory of Molecular Catalysis Institute of ChemistryFederal University of Rio Grande do SulBento Gonçalves Avenue9500Agronomia91501-970Porto AlegreRSBrazil Cosmetology and Pharmaceutical Nanotechnology Laboratory School of Pharmaceutical SciencesUniversidade Federal do Rio Grande do SulAv.Ipiranga 275290610-000Porto AlegreRSBrazil Oral Pathology Department School of DentistryFederal University of Rio Grande do SulRua Ramiro Barcelos2492Rio Branco90035-003Porto AlegreRSBrazil Cosmetology Laboratory School of Pharmaceutical SciencesUniversidade Federal do Rio Grande do SulAv.Ipiranga 275290610-000Porto AlegreRSBrazil

Resin infiltrants have been effectively applied in dentistry to manage non-cavitated carious lesions in proximal dental ***,the common formulations are composed of inert methacrylate *** this study,we developed a novel resin infiltrant with microcapsules loaded with an ionic liquid(MC-IL),and analyzed the physical properties and cytotoxicity of the dental ***,the ionic liquid 1-n-butyl-3-methylimidazolium bis(trifluoromethanesulfonyl)imide(***2)was ***2 has previously shown antibacterial activity in a dental ***,MC-IL were synthesized by the deposition of a preformed *** MC-IL were analyzed for particle size and de-agglomeration effect via laser diffraction analysis and shape via scanning electron microscopy(SEM).The infiltrants were formulated,and the MC-IL were incorporated at 2.5%,5%,and 10 wt%.A group without MC-IL was used as a *** infiltrants were evaluated for ultimate tensile strength(UTS),contact angle,surface free energy(SFE),and *** MC-IL showed a mean particle size of 1.64(±0.08)μm,shriveled aspect,and a de-agglomeration profile suggestive of nanoparticles’presence in the synthesized *** were no differences in UTS among groups(p>0.05).The incorporation of 10 wt%of MC-IL increased the contact angle(p0.05).The incorporation of microcapsules as a drug-delivery system for ionic liquids may be a promising strategy to improve dental restorative materials.

关键词： Surface properties Dental caries Stress Mechanical Drug delivery systems Polymers