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A collocation Technique via Pell-Lucas Polynomials to Solve f.actional Dif.erential EquationModel f.r HIV/AIDS with Treatment compartment

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computer Modeling in Engineering & Sciences 2024年第10期141卷 281-310页

作者： Gamze Yıldırım Suayip Yüzbası Department of.Mathematics Faculty of ScienceAkdeniz UniversityAntalya07058Turkey Department of.Mathematics Faculty of Basic ScienceGebze Technical UniversityKocaeli41400Turkey Department of.Mathematics Faculty of ScienceBartın UniversityBartın74100Turkey

In this study,a numerical method based on the Pell-Lucas polynomials(PLPs)is developed to solve the f.actional order HIV/AIDS epidemic model with a treatment *** HIV/AIDS mathematical model with a treatment compartment is divided into f.ve classes,namely,susceptible patients(S),HIV-positive individuals(I),individuals with f.ll-blown AIDS but not receiving ARV treatment(A),individuals being treated(T),and individuals who have changed their sexual habits suf.iciently(R).According to the method,by utilizing the PLPs and the collocation points,we convert the f.actional order HIV/AIDS epidemic model with a treatment compartment into a nonlinear system of.the algebraic ***,the error analysis is presented f.r the Pell-Lucas approximation *** aim of.this study is to observe the behavior of.f.ve populations af.er 200 days when drug treatment is applied to HIV-inf.ctious and f.ll-blown AIDS *** demonstrate the usef.lness of.this method,the applications are made on the numerical example with the help of.*** addition,f.ur cases of.the f.actional order derivative(p=1,p=0.95,p=0.9,p=0.85)are examined in the range[0,200].Owing to applications,we f.gured out that the outcomes have quite decent ***,we understand that the errors decrease when the value of.N *** f.gures in this study are created in *** outcomes indicate that the presented method is reasonably suf.icient and correct.

关键词： collocation method f.actional dif.erential equations HIV/AIDS epidemic model Pell-Lucas polynomials

Ef.ect of.pipe installation and external load on buried steel pipe responses:Experimental and numerical investigations

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Underground Space 2024年第2期15卷 44-58页

作者： Yadong Zhang ron chik-Kwong Wong Jianf.ng chen Wei Su Department of.civil Engineering Schulich School of EngineeringUniversity of CalgaryCalgaryAB T2N 1N4Canada Department of.Geotechnical Engineering College of Civil EngineeringTongji UniversityShanghai 200092China

During pipe installation,compacting soil at pipe sides causes an initial pipe def.rmation which is known as the"peaking"***,in conventional pipe design codes,only pipe def.rmation caused by vertical overburden is considered while the"peaking"ef.ect is *** this study,a f.ll-scale test was conducted on a Grade X52 steel pipe with a diameter of.600 mm to investigate the impacts of.both soil compaction and vertical overburden on pipe *** compaction and external load were f.und to elongate and shorten the vertical pipe diameter,***"peaking"ef.ect was observed during the installation procedure accompanied by the highest pipe stress measured at the pipe ***,a two-dimensional f.nite element model was created and validated based on the calculated pipe stresses f.om the experimental study.A parametric study was perf.rmed thereaf.er to numerically study the impacts of.soil water content,pipe wall thickness,compaction pressure,and lif. thickness on pipe responses due to soil compaction and external *** increase in the"peaking"ef.ect is observed with increasing soil water content and compaction pressure,while an increase in pipe wall thickness or lif. thickness would cause a decrease in the"peaking"ef.ect.

关键词： X52 steel Soil compaction External load Peaking ef.ect Pipe def.ection Soil arching

All-electron basis sets f.r H to Xe specif.c f.r ZORA calculations:Applications in atoms and molecules

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chinese Physics B 2024年第8期33卷 238-246页

作者： c.S.Gomes f.E.Jorge A.canal Neto Departamento de f.sica Universidade Federal do Espirito Santo29075-910 VitoriaESBrazil Departamento de f.sica Instituto de Ciencias Exatas e BiologicasUniversidade Federal de Ouro Preto Campus Universitario Morro do Cruzeiro35402-136 Ouro PretoMGBrazil

A segmented basis set of.quadruple zeta valence quality plus polarization f.nctions(QZP)f.r H through Xe was developed to be used in conjunction with the ZORA *** set was augmented with dif.use f.nctions to describe electrons f.rther away f.om the nuclei *** the ZORA-ccSD(T)/QZP-ZORA theoretical model,atomic ionization energies and bond lengths,harmonic vibrational f.equencies,and atomization energies of.some molecules were *** addition of.core-valence corrections has been shown to improve the agreement between theoretical and experimental results f.r molecular *** atomization energies,a similar observation emerges when considering spin-orbit *** the augmented QZP-ZORA set,static mean dipole polarizabilities of.a set of.atoms were calculated and compared with previously published recommended and experimental *** evaluations of.the ZORA and Douglas–Kroll–Hess Hamiltonians were made f.r each property studied.

关键词： QZP-ZORA and AQZP-ZORA basis sets elements f.om H to Xe ccSD(T)method atomic and molecular properties

Ef.ects of.dust controls on respirable coal mine dust composition and particle sizes:case studies on auxiliary scrubbers and canopy air curtain

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International Journal of.coal Science & Technology 2024年第3期11卷 86-101页

作者： f.Animah c.Keles W.R.Reed E.Sarver Department of.Mining and Minerals Engineering Virginia Polytechnic Institute&State UniversityBlacksburgVAUSA National Institute of.Occupational Saf.ty and Health(NIOSH) PittsburghPAUSA

control of.dust in underground coal mines is critical f.r mitigating both saf.ty and health *** decades,the National Institute of.Occupational Saf.ty and Health(NIOSH)has led research to evaluate the ef.ectiveness of.various dust control technologies in coal *** studies have included the evaluation of.auxiliary scrubbers to reduce respirable dust downstream of.active mining and the use of.canopy air curtains(cAcs)to reduce respirable dust in key operator *** detailed dust characterization was not a f.cus of.such studies,this is a growing area of.*** preserved f.lter samples f.om three previous NIOSH studies,the current work aims to explore the ef.ect of.two dif.erent scrubbers(one wet and one dry)and a roof.bolter cAc on respirable dust composition and particle size *** this,the preserved f.lter samples were analyzed by thermogravimetric analysis and/or scanning electron microscopy with energy dispersive *** indicate that dust composition was not appreciably af.ected by either scrubber or the ***,the wet scrubber and cAc appeared to decrease the overall particle size *** an ef.ect of.the dry scrubber was not consistently observed,but this is probably related to the particular sampling location downstream of.the scrubber which allowed f.r signif.cant mixing of.the scrubber exhaust and other return *** f.om the insights gained with respect to the three specif.c dust control case studies revisited here,this work demonstrates the value of.preserved dust samples f.r f.llow-up investigation more broadly.

关键词： Respirable dust Dust control SEM–EDX Scrubber canopy air curtain Silica

Two-Stream Approximation to the Radiative Transf.r Equation:A New Improvement and comparative Accuracy with Existing Methods

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Advances in Atmospheric Sciences 2024年第2期41卷 278-292页

作者： f.Momo TEMGOUA L.Akana NGUIMDO DNJOMO Environmental Energy Technologies Laboratory(EETL) Faculty of SciencesUniversity of YaoundéPO Box 812 YaoundéCameroon Department of.Electrical and Electronic Engineering Faculty of Engineering and TechnologyUniversity of BueaPO Box 63 BueaCameroon

Mathematical modeling of.the interaction between solar radiation and the Earth's atmosphere is f.rmalized by the radiative transf.r equation(RTE), whose resolution calls f.r two-stream approximations among other methods. This paper proposes a new two-stream approximation of.the RTE with the development of.the phase f.nction and the intensity into a third-order series of.Legendre polynomials. This new approach, which adds one more term in the expression of.the intensity and the phase f.nction, allows in the conditions of.a plane parallel atmosphere a new mathematical f.rmulation of.γparameters. It is then compared to the Eddington, Hemispheric constant, Quadrature, combined Delta f.nction and Modif.ed Eddington, and second-order approximation methods with ref.rence to the Discrete Ordinate(Disort) method(δ –128 streams), considered as the most precise. This work also determines the conversion f.nction of.the proposed New Method using the f.ndamental def.nition of.two-stream approximation(f.TSA) developed in a previous work. Notably,New Method has generally better precision compared to the second-order approximation and Hemispheric constant methods. compared to the Quadrature and Eddington methods, New Method shows very good precision f.r wide domains of.the zenith angle μ 0, but tends to deviate f.om the Disort method with the zenith angle, especially f.r high values of.optical thickness. In spite of.this divergence in ref.ectance f.r high values of.optical thickness, very strong correlation with the Disort method(R ≈ 1) was obtained f.r most cases of.optical thickness in this study. An analysis of.the Legendre polynomial series f.r simple f.nctions shows that the high precision is due to the f.ct that the approximated f.nctions ameliorate the accuracy when the order of.approximation increases, although it has been proven that there is a limit order depending on the f.nction f.om which the precision is lost. This observation indicates that increasing the order of.app

关键词： Radiative Transf.r Equation two-stream method Legendre polynomial optical thickness moments of.specif.c intensity conversion f.nction transmittance ref.ectance

Mathematical modeling and simulations of.stress mitigation by coating polycrystalline particles in lithium-ion batteries

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Applied Mathematics and Mechanics(English Edition) 2024年第6期45卷 947-962页

作者： N.IQBAL J.cHOI S.f.SHAH c.LEE S.LEE Department of.Mechanical Roboticsand Energy EngineeringDongguk University-SeoulSeoul 04620Republic of Korea

A chemo-mechanical model is developed to investigate the ef.ects on the stress development of.the coating of.polycrystalline Ni-rich LiNixMnyco_(z)O_(2)(x≥0.8)(NMc)particles with poly(3,4-ethylenedioxythiophene)(PEDOT).The simulation results show that the coating of.primary NMc particles signif.cantly reduces the stress generation by ef.iciently accommodating the volume change associated with the lithium dif.usion,and the coating layer plays roles both as a cushion against the volume change and a channel f.r the lithium transport,promoting the lithium distribution across the secondary particles more ***,the lower stif.ness,higher ionic conductivity,and larger thickness of.the coating layer improve the stress *** paper provides a mathematical f.amework f.r calculating the chemo-mechanical responses of.anisotropic electrode materials and f.ndamental insights into how the coating of.NMc active particles mitigates stress levels.

关键词： lithium-ion battery(LIB) polycrystalline particle coating f.nite element simulation Ni-rich LiNixMnyco_(z)O_(2)(x>0.8)(NMc)

Adsorption of.pharmaceutical pollutants on Zncl_(2)-activated biochar f.om corn cob:Ef.iciency,selectivity and mechanism

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Journal of.Bioresources and Bioproducts 2024年第1期9卷 58-73页

作者： christian f.Varela L.c.Moreno-Aldana Yazmin Yaneth Agámez-Pertuz Department of.chemistry National University of ColombiaAv.Carrera 30 No.45-03BogotáD.C.Colombia Department of.Biology and chemistry University of the Llanoskm 12 road to Puerto LópezVillavicencioColombia

The occurrence of.pharmaceuticals in water bodies and drinking water poses risks f.r the envi-ronment and human health,thus it is necessary to study methodologies that allow the ef.icient removal of.these *** this work,corn cob-derived biochar was obtained by Zncl_(2)-activation,and subsequent carbonization at 700℃.The ef.ect of.contact time,temperature,pH,and initial concentration on the adsorption capacity of.acetaminophen(AcE)and amoxicillin(AMX)was determined through batch *** addition,the kinetics,isotherms,and ther-modynamics parameters were *** activated biochar exhibited a maximum adsorp-tion capacity of.332.08 mg/g f.r AcE and 175.86 mg/g f.r *** adsorption kinetics and adsorption isotherm of.AcE corresponded to the pseudo-second order and Langmuir model,***,pseudo-f.rst-order kinetics and the f.eundlich isotherm model were well-f.tted to AMX *** AcE and AMX co-adsorption had a synergistic ef.ect on AMX but an antagonistic ef.ect on AcE removal,achieving a maximum adsorption capacity of.193.51 and 184.58 mg/g,*** the other hand,f.xed-bed column experiments showed that the adsorption capacity depends on the inf.uent concentration,and the breakthrough curve f.ts the Thomas and Yoon-Nelson *** mechanism adsorption studies showed that surf.ce inter-actions(hydrogen bonding f.rmation and n-𝜋interactions)are the main driving f.rces f.r the adsorption process,and pore f.lling is the rate-limiting *** this way,the prepared biochar exhibits a high potential f.r the adsorption of.pharmaceutical compounds f.om water.

关键词： Biochar Adsorption Acetaminophen Amoxicillin Wastewater treatment

characterization of.conception drawing in architecture to f.ce technological mediations

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f.0}tiers of.Architectural Research 2024年第3期13卷 425-438页

作者： Hugo c.Gomez-Tone Javier f.Raposo Grau Departamento de Ideación Gráf.ca Arquitectónica Universidad Politécnica de MadridMadrid 28040Spain Departamento de Arquitectura Universidad Nacional de San Agustín de ArequipaArequipa 04001Peru

The conception drawing in architecture is that allows to initiate the architectural thinking,visualizing,and discovering the f.rst *** drawing has traditionally been given as an act of.linking and collaboration between thought,sight,and the movement of.the hands with a *** and recognizing its characteristics will make it possible to deal with any mediation of.inf.rmation *** establish such characteristics,three case studies were carried *** analysis was made of.the conception drawings and interviews by the Pritzker Prize laureates:Ando,Hadid and *** condition and f.ur characteristics have been determined:drawing is a phenomenological action that produces haptic drawings;it is an undecided process that originates unf.rmed drawings;it is a f.st action that results in small and multiplied drawings;it is a perceptual act that generates redrawn and remarked drawings;and f.nally,it is an action that seeks to remember to resume the creative process at another moment,which produces rudimentary conventional *** these bef.re any technological mediation will be an important pedagogical contribution that will allow f.ture architects not to alter the cognitive processes that generate the f.rst ideas in the initial moments of.the architectural project.

关键词： conception drawing Architectural thinking Graphic ideation concept creativity

The Importance of.Posterior Tibial Slope in TKR: Pre and Post-Operative Measurements in United States Osteoarthritic Patients

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Open Journal of.Orthopedics 2024年第8期14卷 374-379页

作者： f.ederick f. Buechel Sr f.ederick f. Buechel Jr Rutgers New Jersey Medical School Department of Orthopaedic Surgery Newark USA Lenox Hill Hospital Department of Orthopaedic Surgery New York USA

Background: Sagittal plane placement of.the tibial component in total knee replacement (TKR) has important implications f.r maximizing the range of.f.exion motion, allowing collateral ligaments to f.nction more normally, as well as providing ideal compressive loading on the tibial bone-prosthesis interf.ce. This study attempts to quantif. the normal posterior tibial slope (PTS) angle pre-operatively and post-operatively in osteoarthritic patients af.er using a conventional extramedullary tibial resection guide to assess its ef.ectiveness. Methods: f.rty-nine primary cementless total knee replacements in 34 osteoarthritic patients were measured radiographically pre-operatively and one year post-operatively to determine the PTS and its ef.ect on range of.motion. Lateral X-rays, using the anterior cortical line of.the tibia, were employed f.r all measurements. Results: Pre-operative PTS measured 11.83˚ (range 5˚ - 18˚), while post-operative PTS of.implanted tibial components measured 11.30o (range 4˚ - 18˚). The pre-operative range of.motion of.112˚ (range 30˚ to 135˚) was improved to 119˚ (range 90˚ to 135˚) post-operatively af.er 1 year. conclusions: Anterior tibial shaf. ref.rencing using a conventional extramedullary tibial resection guide provides an easy and convenient method f.r reproducing the anatomical PTS during TKR. This methodology provided improvement in average range of.motion f.om 112˚ pre-operatively to 119˚ post-operatively at one year.

关键词： Posterior Tibial Slope Posterior Tibial Inclination Extramedullary Tibial Resection Guide Total Knee Alignment