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monte-carlo simulation

در نشریات گروه علوم پایه
  • Parviz Nasiri, Mehdi Jabbari Nooghabi*

    The problem of distinguishing between distributions is always important. It becomes more complicated when data is contaminated by outliers. Here, we use two well-known Lindley and exponential distributions infected by outliers. The closeness of the Lindley distribution in comparison with the exponential distribution with outliers is discussed in this research. Three ways such as likelihood ratio, asymptotic likelihood ratio tests and minimum Kolmogorov distance are used to select the proper fitted model for a real data set. We perform Monte Carlo simulation to obtain the probability of correct selection for various values of sample sizes and parameters based on the best criteria in the distributions. In general, it has been seen that the Lindley distribution is closer to exponential distribution contaminated by outliers based on the likelihood ratio and Kolmogorov criteria. An actual example of real data is used to see the behaviour of the distributions.

    Keywords: Lindley Distribution, Exponential Distribution, Outliers, Likelihood Ratio Test, Kolmogorov Distance, Probability Of Correct Selection, Monte Carlo Simulation
  • سارا طالبی، علیرضا آزادبر*

    اسکاندیم-43 (43Sc) رادیوایزوتوپی پوزیترون زا است که با گسیل فوتون نابودی KeV 511 (176%) و پرتو گامای KeV 76/372 (%23)، قابلیت استفاده در تصویربرداری PET را دارد. در این مطالعه، بهره تئوری تولید 43Sc و ناخالصی های همراه آن در واکنش های 40Ca (α,p)، 41K (α,2n)، 42Ca (d,n)، 43Ca (p,n)، 44Ca(p,2n) و 46Ti (p,a) برای تولید این رادیوایزوتوپ در سیکلوترون MeV 30 کرج، با شبیه سازی توابع برانگیختگی این واکنش ها در کدهای مونت کارلو TALYS-1/96 و EMPIRE-3-2-2، و توان ایستانندگی جرمی در کد مونت کارلو SRIM-2013 در بازه انرژی 0 تا MeV 30 و انتگرال گیری عددی از فرمول بهره تولید در MATLAB محاسبه شده و با نتایج تجربی مقایسه شد. 44Sc ناخالصی رادیوایزوتوپی است که در واکنش های 44Ca (p,2n) و 41K (α,2n) تولید می شود و حذف آن از محصول نهایی عملا غیرممکن است؛ در واکنش 46Ti(p,a) تولید می شود و با تعیین بازه انرژی، قابل حذف است؛ و در واکنش های 43Ca(p,n)، 42Ca (d,n) و 40Ca (α,p) تولید نمی شود. نتایج نشان می دهد که برای تولید 43Sc خالص با بالاترین بهره تولید، 43Ca(p,n) بهترین واکنش برای سیکلوترون کرج است؛ اما برای تولید محصولی خالص با بهره مناسب و کمترین هزینه ممکن، واکنش 40Ca (α,p) انتخاب بهتری است.

    کلید واژگان: اسکاندیم-43، سیکلوترون کرج، شبیه سازی مونت کارلو، تابع برانگیختگی، بهره تولید
    Sara Talebi, Alireza Azadbar *

    Scandium-43 (43Sc) is a positron emitter radioisotope that can be used in PET imaging by emitting 511 KeV (176%) annihilation photon and 372.76 KeV gamma ray (23%). In this study, the theoretical production yield of 43Sc and its accompanying impurities in the 43Ca(p,n), 44Ca(p,2n), 46Ti(p,a), 42Ca(d,n), 40Ca(a,p) and 41K(a,2n) reactions to produce this radioisotope in 30 MeV Karaj cyclotron were calculated by simulating the excitation functions of these reactions in TALYS-1/96 and EMPIRE-3-2-2 Monte Carlo codes, and the mass stopping power in SRIM-2013 Monte Carlo code and the numerical integration of the production yield formula in MATLAB in the energy range of 0 to 30 MeV, and were compared with the experimental results. 44Sc is a radioisotopic impurity that is produced in the 44Ca(p,2n) and 41K(a,2n) reactions and it’s practically impossible to remove it from the final product; it’s produced in the 46Ti(p,a) reaction and can be removed by determining the energy range; and it isn’t produced in the 43Ca(p,n), 42Ca(d,n) and 40Ca(α,p) reactions. The results show that for the production of pure 43Sc with the highest yield, 43Ca(p,n) is the best reaction for Karaj cyclotron; but to produce a pure product with a suitable yield and the lowest possible cost, the 40Ca(α,p) reaction is a better choice.

    Keywords: Scandium-43, Karaj Cyclotron, Monte Carlo Simulation, Excitation Function, Production Yeild
  • Najmeh Mohammadi *
    ‎This work aimed to assess the secondary cancer risk for patients undergoing brain and pelvic radiotherapy with high-energy linear accelerators (LINAC)‎. ‎Photoneutrons are produced in the LINAC's head when operating above 7 MeV and are not considered in radiotherapy treatment planning‎. ‎The MCNPX2.6 Monte Carlo code was used for LINAC's head simulation‎. ‎The photon and neutron doses were calculated in tissues/organs of an International Commission on Radiological Protection (ICRP) male reference voxel phantom undergoing pelvic and brain radiotherapy‎. The results indicated that the neutron equivalent dose was higher for tissues/organs located close to skin and‎, ‎contrary to the photon equivalent dose‎, ‎did not decrease sharply for tissues/organs outside of the irradiation field‎. ‎Notably‎, ‎neutron equivalent dose distribution was almost homogenous in whole body and did not depend on the treatment type and location of target organ‎. ‎Therefore‎, ‎an undesirable dose was received by healthy tissues/organs‎, ‎leading to an increase in secondary cancer risk‎. ‎Based on the obtained results‎, ‎the neutron effective dose for the pelvic and brain treatment were 0.20 and 0.26 mSv.Gy-1‎, ‎respectively‎. ‎The results also indicated that maximum secondary cancer risk due to neutrons was for colon (0.026 %) in the pelvic treatment‎, ‎while in brain treatment‎, ‎it belongs to stomach (0.036 %) for a delivered dose of 70 Gy‎. ‎It is recommended that a mean neutron effective dose value of 0.23 mSv.Gy-1 can be considered in brain and pelvic treatment planning for evaluating the secondary cancer risk of high-energy LINAC radiotherapy‎.
    Keywords: Neutron Dosimetry, High-Energy LINAC, Monte Carlo Simulation, Voxel Phantom, Secondary Cancer Risk
  • Hamideh Memarbashi, Javad Etminan, Majid Chahkandi *
    Many recent probability distributions are introduced by compounding the well-known continuous distributions  with the power series distribution.   In this paper, we provide a general closed-form expression  for the cumulative distribution function of this class. Then, we introduce  a new four parameter lifetime distribution called  Zhang-power series (ZPS) distribution. This distribution is very useful in the lifetime, reliability and extreme-value data analysis. The distribution properties including survival function, hazard function and limiting behavior of the probability density  and hazard functions are studied. The method of maximum likelihood estimation is used to estimate the model parameters. Applications to real data sets are given to show the flexibility and potentiality of the proposed model.
    Keywords: Maximum Likelihood Estimation, Monte Carlo Simulation, Power Series Distribution, Zhang Distribution
  • Vida Khodabandeh Baygi, Laleh Rafat-Motavalli *, Elie Hoseinian-Azghadi
    During external beam radiation therapy, patients are exposed to secondary radiation sources, contributing to out-of-field doses with potential long-term adverse effects. Understanding photon and electron energy spectra is essential to evaluate the secondary effects of modern radiotherapy. This study aimed to evaluate the photon and electron fluence spectra and mean energy beyond the field edge as well as in-field regions for several small radiotherapy fields. The study used International Atomic Energy Agency (IAEA) phase-space files for the 6 MV photon beams produced by three commonly used linear accelerators to generate small and standard fields. The mean photon and electron energies were calculated at multiple depths and off-axis distances for the three linear accelerators and a predefined 6 MV spectrum. The study found that the photon fluence spectra strongly depend on spatial positions and vary significantly as a function of depth, off-axis distance, field size, and linac model. Furthermore, the behavior of electrons is depth-dependent beyond the field edge, where the mean electron energy near the surface is greater than in-field regions, especially in small fields, leading to surface dose enhancement.
    Keywords: Beamnrc, Flurznrc, Monte Carlo Simulation, Mean Energy
  • Hadi Alizadeh Noughabi *, Mohammad Shafaei Noughabi
    The Inverse Gaussian distribution finds application in various fields, such as finance, survival analysis, psychology, engineering, physics, and quality control. Its capability to model skewed distributions and non-constant hazard rates makes it a valuable tool for understanding a wide range of phenomena. In this paper, we present a goodness-of-fit test specifically designed for the Inverse Gaussian distribution. Our test uses an estimate of the Gini index, a statistical measure of inequality. We provide comprehensive details on the exact and asymptotic distributions of the newly developed test statistic. To facilitate the application of the test, we estimate the unknown parameters of the Inverse Gaussian distribution using maximum likelihood estimators. Monte Carlo methods are utilized to determine the critical points and assess the actual sizes of the test. A power comparison study is conducted to evaluate the performance of existing tests. Comparing its powers with those of other tests, we demonstrate that the Gini index-based test performs favorably. Finally, we present a real data analysis for illustrative purposes.
    Keywords: Gini Index, Type-I Error, Critical Points, Test Power, Monte Carlo Simulation
  • Abhishek Singh *, Hemant Kulkarni, Florentin Smarandache, Gajendra Vishwakarma
    In this article, we introduce a novel approach by presenting separate ratio and regression estimators in the context of neutrosophic stratified sampling for the very first time, incorporating auxiliary variables. We have conducted a thorough analysis to estimate these newly proposed estimators' bias and Mean Square Error (MSE) up to the first-order approximation. Theoretically using efficiency comparison criteria, our findings demonstrate the superior performance of these estimators compared to traditional unbiased estimators. Also, numerically based on real-life and artificial data, we have shown the supremacy of the neutrosophic stratified sampling over neutrosophic simple random sampling along with the supremacy of our proposed neutrosophic separate stratified estimators over neutrosophic stratified unbiased estimator. Moreover, our research highlights the enhanced reliability of neutrosophic stratified estimators when contrasted with classical stratified estimators.
    Keywords: Neutrosophic Variables, Neutrosophic Stratified Sampling, Regression, Ratio Estimator, Monte-Carlo Simulation, Mean Square Error
  • محمد حسین اسدی کماسائی*، مرتضی اکبری
    در طول دهه ها، حفاظت در برابر پرتوهای یونساز یک دغدغه جهانی بوده است. در حوزه حفاظ در برابر اشعه، فوتون ها و نوترون ها اهمیت ویژه ای دارند، زیرا این پرتوها بار الکتریکی نداشته و عمق نفوذ بالایی در مواد مختلف دارند. یکی از چشمه های کاربردی نوترون، کالیفرنیوم-252 می باشد که شار بسیار بالایی از نوترون های سریع را به همراه فوتون های گاما تولید می کند. طراحی یک حفاظ با مواد مناسب و کاهش حجم و وزن حفاظ جهت سهولت در جابه جایی منبع با حفاظ و جهت کاهش دز گاما و نوترون یک امر ضروری است. در این تحقیق، ویژگی های حفاظتی کنرتیوم، استیل ضدزنگ، تنگستن کاربید و پلی اتیلن/بیسموت (5/78% وزنی) برای کاهش دز معادل گاما و منیزیوم بوروهیدرید، آلومینیوم بوروهیدرید، زیرکونیوم بوروهیدرید، لیتیم بوروهیدرید، توریم بوروهیدرید، برلیوم بوروهیدرید، پریمادکس و سدیم سیانوبوروهیدرید برای کاهش دز معادل نوترون، با کمک کد مونت کارلوی MCNPX شبیه سازی شد. نتایج شبیه سازی نشان دادند که منیزیوم بور هیدرید با ضخامت cm 5/17 و کنرتیوم با ضخامت cm 1 منجر به کاهش 5/5 درصدی در آهنگ دز کل در فاصله 1 متری از چشمه و کاهش 39 درصدی ضخامت حفاظ نسبت به مقاله مرجع (جنس و ضخامت آن در متن بیان شده است) گردید. بنابراین، منیزیوم بور هیدرید و کنرتیوم به ترتیب به عنوان بهترین ماده جاذب نوترون و گاما تعیین شدند. در ادامه این مطالعه، توسعه و بررسی مواد پیشرفته دیگری به عنوان یک حفاظ بهینه در یک میدان آمیخته نوترون و گاما پیشنهاد می شود.
    کلید واژگان: نوترون، گاما، حفاظ سازی، حفاظت در برابر اشعه، شبیه سازی مونت کارلو
    Mohammad Hossein Asadi Kamasaee *, Morteza Akbari
    Protection against ionizing radiation has been a global concern for decades. In the field of radiation protection, photons and neutrons are particularly important, because these rays do not have an electric charge and have a high penetration depth in different materials. One of the most useful neutron sources is californium-252, which produces a very high flux of fast neutrons along with gamma photons. Considering the portability of californium-252, one of its advantages is the treatment of cancer with alpha particles by capturing its neutrons by boron-10. Therefore, it is necessary to design a shield with suitable materials and reduce the volume and weight of the shield in order to facilitate the moving of the source with the shield and to reduce the gamma and neutron dose. In this research, by using a pre-designed shield, the protective properties of kennertium, stainless steel, tungsten carbide and polyethylene/bismuth (78.5% wt.) to reduce gamma equivalent dose and magnesium borohydride, aluminum borohydride, zirconium borohydride, lithium borohydride, thorium borohydride, beryllium borohydride, premadex and sodium cyanoborohydride to reduce Neutron equivalent dose was simulated with the help of MCNPX Monte Carlo code. The simulation results indicated that magnesium borohydride with a thickness of 17.5 cm and kennertium with a thickness of 1 cm led to a 5.5% decrease in the total dose rate at a distance of 1 meter from the source and a 39% decrease in the shielding thickness compared to the reference article (the material and the thickness are stated in the text). Therefore, magnesium borohydride and kennertium were determined as the best neutron and gamma absorbers, respectively. In the continuation of this study, the development and investigation of other advanced materials are suggested as an optimal shielding in a mixed neutron and gamma field.
    Keywords: Neutron, Gamma, Shielding, Radiation Protection, Monte Carlo Simulation
  • Maryam Sharafi *, Reza Hashemi, Masumeh Ghahramani
    An important challenge in using progressive Type-II right censoring is to determine a removal scheme. It can be predetermined or randomly chosen per discrete distributions. This paper considers the random removal problem and proposes two scenarios for determining the removal vector without introducing any parameter to a model when progressively Type-II censored samples are available from the three-parameter Weibull distribution. The proposed scenarios are based on the normalized spacings with random and fixed coefficients according to progressively Type-II censored order statistics from an exponential distribution. The joint probability mass functions of removal vectors are provided as well as expected experimental time under the proposed two methods. Moreover, the maximum likelihood estimators (MLEs) and corrected maximum likelihood estimators (corrected MLEs) of parameters are obtained. The new approaches are compared with the patterns of removal derived from the discrete uniform and binomial distributions using a Monte Carlo simulation study. This comparison is based on their estimated biases, estimated mean squared errors and expected total time on the experiment. Finally, a real data example is given to show the practical applications of the paper.
    Keywords: Corrected Maximum Likelihood Estimator, Expected Test Time, Monte Carlo Simulation, Progressive Censoring, Random Removals, Weibull Distribution
  • Moein Abdollah-Salimi *, Nader Nariman-Zadeh, Reza Ansari
    The optimal selection of Functionally Graded Material (FGM) materials profiles, with regard to cost functions such as weight and stress, is an important issue in the optimization field. In this study, the optimal multiobjective design of FG-beam, subjected to dynamic load as moving mass, has been investigated. Because of the importance of shear stress in FGMs, Timoshenko beam theory has been used in dynamic Analysis. By substituting terms of energy into the Lagrange equation, differential equations of motion are obtained. Displacement fields as a function of time and x-coordinate are calculated by means of the numerical solution of the above-mentioned equations. The mass and velocity of the moving object and the beam's width were considered certain parameters. Weight and maximum deflection were assumed as cost functions in multiobjective optimization. In addition to the means, the variance of the mentioned cost functions was considered to obtain robust behaviour in an uncertain space of parameters. By using a genetic algorithm, a fraction of constituents and an index of volume fraction (design variables) were selected so that objective functions were optimized. Pareto fronts' optimum points are presented, and trade-off points are proposed. Cumulative Distribution Function (CDF) curves demonstrated robust behaviour of the expressed design points.
    Keywords: FG-Beam, Moving Mass, Robust Design, Uncertainty, Pareto Front, Monte Carlo Simulation
  • A. R. Khoshhal *, A. Esmaili Torshabi
    Despite the increasing expansion of radiation therapy and diagnostic radiation centers in the country to treat and increase the quality level of treatment of various diseases, we are still facing challenges such as dosimetry, calibration and quality control of radiation therapy and diagnostic radiation devices. In this sense, it is important to prepare and make a suitable phantom. Phantoms are used in dosimetry due to their density and effective atomic number similar to body tissues. Among the phantoms prepared for dosimetry purposes is the Rando phantom. The main purpose of this study is to determine the feasibility of the materials for making the anthropomorphic head phantom (AHP) head and neck phantom using a Digital Light Processing (DLP) 3D printer, as well as the design of the whole human body phantom with the lowest cost. The dimensions of different parts of the phantom were extracted from CT-Scan images and were designed using SolidWork, Meshmixer and Ultimaker Cura. In this study, the use of Thermoplastic polyurethane (TPU) resin equivalent to soft tissue and bone tissue were investigated. Considering that the density of soft tissue and skull bone is 1 gr⁄〖cm〗^3 and 1.6-1.7 gr⁄〖cm〗^3 , the density of these two resins is 1 gr⁄〖cm〗^3 and 1.6 gr⁄〖cm〗^3 . In order to verify the accuracy of our developped phanom a Monte Carlo based simulation assessment was done using GEANT4 code. Final results show that there is good agreement between our phantom in comparison with other common available phantoms.
    Keywords: Anthropomorphic Phantom, 3D Printer, Internal Dosimetry, Monte Carlo Simulation
  • احمد اسماعیلی ترشابی، مینا انقلابی، محمدعلی بیجاری*

    در این پژوهش به منظور تعیین فیلتراسیون بهینه در تصویربرداری و تاثیر آن بر افزایش تفکیک انرژی بین دو طیف انرژی بالا و پایین و همچنین میزان هم پوشانی طیف ها بررسی هایی بر روی سی تی اسکن منبع دوگانه انجام شد. در ابتدا، تیوب اشعه ایکس با آند تنگستن و فیلتر ذاتی 6/1 میلی متر آلومینیومی در نرم افزار فلوکا طراحی گردید. سپس یک فیلتر اضافه برای تیوب با انرژی بالای keV 140 اعمال گردید و تیوب کم انرژی keV 80، برای جلوگیری از کاهش بیشتر انرژی در خروجی، فقط با فیلترهای کارخانه باقی ماند. در گام بعدی، برای به حداقل رساندن هم پوشانی بین طیف ها بر روی هر دو تیوب، فیلتر پیشین اعمال شد و تفاوت میانگین انرژی ها مورد بررسی قرار گرفت. فیلترها از موادی با شرایط و ضخامت های مناسب انتخاب شدند که قلع و برنز گزینه های مطلوب تری بودند. در نتیجه، استفاده از فیلتر قلع با ضخامت 5/0 میلی متر اختلاف میانگین انرژی را از   KeV 8/17 به KeV 6/40 افزایش داد. در ادامه، روند آزمایش فیلتر برنز بر روی تیوب پر انرژی و اربیوم بر روی تیوب کم انرژی اعمال گردید. اختلاف میانگین انرژی در این حالت از 8/17 به 87/45 کیلوالکترون ولت افزایش قابل ملاحظه ای داشت. بنابراین هم پوشانی طیف های کم انرژی و پر انرژی کاهش قابل ملاحظه ای داشته است و انتظار می رود این افزایش عملکرد، کارایی سی تی اسکن منبع دو گانه را در افزایش کنتراست و کاهش دز را بهبود بخشد.

    کلید واژگان: فیلتر، سی تی اسکن منبع دوگانه، کیفیت پرتو ایکس، هم پوشانی، جداسازی طیف، شبیه سازی مونت کارلو
    Ahmad Esmaili Torshabi, Mina Engelabi, Mohammadali Bijari *

    In this research, a study is performed in order to determine the optimal spectral filtration in dual-source imaging system and its effect on increasing the mean energy and energy separation between high and low energy spectra .X-ray spectrum is simulated using Monte carlo Fluka 2011 simulation code. X-ray tube with tungsten anode and 1.6 mm aluminum inherent filter was designed. Then, an additional filter was applied to the 140 keV tube and the low-energy spectrum was left unchanged to prevent further reductions in the output .In the next step,in order to minimizing the overlaps among the spectra, former filter was implemented and mean energy difrrences was investigated. Filter’s materials have selected from several elements in which, Tin and bronze are practical options. Based on our results, tin filter with a thickness of 0.5 mm has increased the average energy difference from 17.8 to 40.6 keV. In the second evaluation, using bronze filter on high and Eribium on the low energy tube, the average energy difference was increased from 17.8 to 45.87 keV.In our evaluation The overlap of low and high energy spectra have been decreased significantly.In addition to examine the sensitivity of different materials, the difrences in dual energy ratio has been compared. The larger the difference is, the contrast between two materials has increased .This increase in dual energy ratio is expected to improve the performance of dual-source CT scans in increasing contrast and improving image quality and dose reduction.

    Keywords: Filter, Dual Source CT, X-Ray Quality, Overlap, Spectrum Separation, Monte Carlo Simulation
  • Hadi Alizadeh Noughabi *, Mohammad Shafaei Noughabi
    Recently, Alizadeh and Shafaei (2023) introduced some estimators for varentropy of a continuous random variable. The present article applies these estimators and construct some tests of fit for Inverse Gaussian distribution. Percentage points and type I error of the new tests are obtained and then power values of the proposed tests against various alternatives are computed. The results of a simulation study show that the tests have a good performance in terms of power. Finally, a real data set is used to illustrate the application of the proposed tests.
    Keywords: Maximum Likelihood Estimates, Goodness-Of-Fit Test, Percentage Points, Monte Carlo Simulation, Test Power
  • Seyed Qasim Alavi, Hadi Alizadeh Noughabi *, Sarah Jomhoori
    The Weibull distribution is widely used in reliability as a model for time to failure. In this paper, we investigate goodness-of-fit tests based on the empirical distribution function and apply them to test the validity of the Weibull model. We use the maximum likelihood estimator to estimate the scale and shape parameters of the distribution.  A Monte Carlo simulation study is employed to determine the critical values and the actual size of the considered tests. The power values of the tests are computed and compared with each other.  A real data example is used to illustrate the proposed tests.
    Keywords: Empirical Distribution Function, Goodness-Of-Fit, Maximum Likelihood Estimates, Monte Carlo Simulation, Test ‎Power, Weibull Distribution‎
  • Sima Mashayekhi *, Seyed Nourollah Mousavi
    This study compares the performance of the classic Black-Scholes model and the generalized Liu and Young model in pricing European options and calculating derivatives sensitivities in high volatile illiquid markets. The generalized Liu and Young model is a more accurate option pricing model that incorporates both the efficacy of the number of invested stocks and the abnormal increase of volatility during a financial crisis for hedging pur- poses and the financial risk management. To evaluate the performance of these models, we use numerical methods such as finite difference schemes and Monte-Carlo simulation with antithetic variate variance reduction tech- nique. Our results show that the generalized Liu and Young model outper- forms the classic Black-Scholes model in terms of accuracy, especially in high volatile illiquid markets. Additionally, we find that the finite differ- ence schemes are more efficient and faster than the Monte-Carlo simulation in this model. Based on these findings, we recommend using the general- ized Liu and Young model with finite difference schemes for the European options and Greeks valuing in high volatile illiquid markets.
    Keywords: Black-Scholes Equation, Finite Difference Scheme, Greeks, Monte-Carlo Simulation, Nonlinear Partial Differential Equation
  • Mounir Manssouri *, Anas Chraka, Ihssane Raissouni, Anass Wahby, Noureddine EL Aouad
    Environmental issues have received considerable attention in recent years, and the use of green corrosion inhibitors has become the main topic of most researchers. The current study was focused on evaluating the essential oil from aerial parts of the Ruta Graveolens L. (RG-(EO)) has been used as an eco-friendly corrosion inhibitor on Mild Steel (MS) at 1 M HCl solution. The characterization method (i.e., gas chromatography-mass spectrometry (GC/MS)) identified 21 constituents representing 95.3% of the total amount and undecan-2-one (U2ONE) has been identified as the main constituent of RG-(EO). The inhibiting effect of RG-(EO) on the corrosion of MS in 1 M HCl solution was tested by the measurements of Weight loss (WL), potentiodynamic polarization (PDP), electrochemical impedance spectroscopy (EIS) as well as quantum chemical calculation methods. The PDP test findings showed that the effectiveness of MS inhibition increased with the addition of the RG-(EO), reaching almost 94.80% at 2.00 g/L. The thermodynamic analysis showed that the inhibition efficiency increases slightly with an increase in the temperature of the medium (308-343 K). Moreover, the thermodynamic kinetic parameters showed that the adsorption of RG-(EO) on MS surface sites is subject to the Langmuir adsorption isotherm. Finally, the theoretical studies based on quantum chemical analysis (i.e. density functional theory (DFT)) and Monte Carlo (MC) simulation were also performed for understanding the adsorption mechanism of U2ONE onto Fe-surface.
    Keywords: Corrosion Inhibitors, Ruta Graveolens L, Electrochemical Methods, Undecan-2-One, Monte Carlo Simulation, DFT
  • محمدرضا علی پور، مهدی عشقی *

    مواد محافظ تشعشع و اجزای سازه های محافظ باید دارای خواص مکانیکی خوب، قابلیت استفاده طولانی مدت و انعطاف پذیری مناسب باشند. نانوکامپوزیت ها در شرایط مختلف خواص ریزساختاری و مکانیکی خوبی دارند. این مقاله به بررسی اصول محافظ پرتو گاما، از جمله برهم کنش پرتوهای گاما با ماده، نانوکامپوزیت های با پیوند ناهمگون بیسموت با ترکیب غلظت های مشخص (80، 85، 90 و 99 درصد) اکسید بیسموت با وانادیم به عنوان ماده حفاظی برای محافظت موثر در برابر پرتو گاما می پردازد. روش های مختلف ارزیابی محافظ اشعه گاما، از جمله تکنیک های اندازه گیری و شبیه سازی کامپیوتری را با استفاده از ابزار شبیه سازی مونت کارلویی Geant4 مورد بحث قرار می دهد. همچنین، برای بررسی عملکرد این نانوکامپوزیت ها، کمیت های موثر در تضعیف پرتو گاما مانند ضریب تضعیف جرمی، مسافت آزاد میانگین، لایه یک دهم مقدار و ضریب انباشت را محاسبه می شوند. در نهایت، این مقاله یک نمای کلی از محافظ اشعه گاما ارائه می دهد که برای اطمینان از ایمنی انسان و تجهیزات در مقابله با تشعشات پرتویی می پردازد.

    کلید واژگان: حفاظ پرتو گاما، اکسید بیسموت، نانو کامپوزیت، بیسموت-وانادات، شبیه سازی مونت کارلو
    Mohamadreza Alipoor, Mahdi Eshghi*

    Radiation shielding materials and components of shielding structures should have good mechanical properties, long-term usability and appropriate flexibility. Nano composites have good micro structural and mechanical properties in different conditions. This article examines the principles of gamma ray shielding, including the interaction of gamma rays with matter, bismuth-based hetero junction nano composites by combining specific concentrations (90, 90, 85, 80 percent) of bismuth oxide with vanadium as a protective material for effective radiation protection. Gamma pays. Discusses various methods of evaluating gamma ray shielding, including measurement techniques and computer simulations using the Geant4 Monte Carlo tool. Also, to check the performance of these nano composites, we have calculated effective parameters in gamma ray attenuation, such as mass attenuation coefficient, mean free distance, one-tenth layer and accumulation coefficient. Finally, this article provides an overview of gamma ray shielding, which is used to ensure the safety of people and equipment against radiation.

    Keywords: Gamma-Ray Shielding, Bismuth Oxide, Heterogeneous Bonds, Nanocomposite, Bismuth-Vanadate, Monte Carlo Simulation
  • جعفر عالم گیر*، سید ابوالفضل حسینی، احسان سلیمی

    در چند دهه اخیر، تاثیر نانوذرات در پرتودرمانی موردتوجه بسیاری از محققان قرار گرفته است. پژوهش حاضر با هدف بررسی اثر مدل های برهم کنش فیزیکی مختلف بر روی محاسبات دز در اطراف نانوذرات طلا، هافنیوم و گادولینیم، انجام شده است. با استفاده از ابزار مونت کارلوی Geant4، یک نانوذره به قطر 50 نانومتر در فانتوم مکعبی آب شبیه سازی شد و تحت تابش پروتون با انرژی های 5، 50 و MeV 150 قرار گرفت. مطالعه حاضر پارامترهای مختلفی را از جمله طیف انرژی الکترون ها و فوتون های ثانویه، توزیع دز شعاعی (RDD)، ضریب افزایش دز (DEF)، در اطراف نانوذره با سه جنس مختلف و دو مدل برهم کنش فیزیکی مورد بررسی قرار داده است. نتایج حاصل شده نشان داد که برای نانوذره طلا تعداد الکترون های ثانویه با مدل پنلوپه بیش تر از مدل لیورمور بود؛ ولی برای دو نانوذره دیگر، الکترون های ثانویه بیش تری با مدل لیومور نسبت به مدل پنلوپه تولید شد. در نمودارهای RDD تا فاصله 6 نانومتری از سطح نانوذره طلا (در راستای شعاعی در محیط آب)، مدل پنلوپه یک اختلاف 10 درصدی را نسبت به مدل لیورمور ارایه می کند. هم چنین، تا فاصله 9 نانومتری از سطح نانوذره، مدل لیورمور به ترتیب یک افزایش 16 و 10 درصدی در دز را در مقایسه با مدل پنلوپه برای نانوذرات هافنیوم و گادولینیم نشان می دهد. در مورد DEF، دز نهشت شده در اطراف نانوذره طلا 14 برابر افزایش یافت که بالاترین مقدار در مقایسه با افزایش دز پیرامون نانوذرات هافنیوم و گادولینیم که به ترتیب 10 و 6 برابر بودند، می باشد.

    کلید واژگان: نانوذرات، ضریب افزایش دز، پروتون درمانی، شبیه سازی مونت کارلو، Geant4
    J. Alamgir *, S.A. Hosseini, E. Salimi

    The impacts of nanoparticles in radiation therapy have been investigated during the recent decades. The present study was conducted with the aim of investigating the effect of different physical interaction models on dose calculations using gold, hafnium and gadolinium nanoparticles. A nanoparticle with a diameter of 50 nm was simulated in a cubic water phantom and irradiated by protons with the energies of 5, 50 and 150 MeV using Geant4 Monte Carlo toolkit. The current study has considered various parameters, including the energy spectrum of secondary electrons and photons, radial dose distribution (RDD), dose enhancement factor (DEF), around the nanoparticle with three different materials and two physical interaction models. The obtained data showed that for gold nanoparticles, the Penelope model generated a greater number of secondary electrons than the Livermore model; however, for the other two nanoparticles, the Livermore model produced a greater number of secondary electrons than the Penelope model. In the RDD graphs, the Penelope model presents a 10% difference compared to the Livermore model up to a distance of 6 nm from the nanoparticle’s surface (along the radial axis in water). Furthermore, the Livermore model indicates a 16% and 10% increase in dose compared to the Penelope model up to a distance of 9 nm from the surface of hafnium and gadolinium nanoparticles, respectively. In the case of DEF, the dose deposited around the gold nanoparticle was increased by 14, the highest amount compared to DEF of hafnium and gadolinium nanoparticles which is 10 and 6, respectively

    Keywords: Nanoparticle, Dose Enhancement Factor, Proton therapy, Monte Carlo Simulation, Geant4
  • علی جمشیدی، مهیار نیروئی*
    برم-76 (نیمه عمر 2/16 ساعت) رادیونوکلییدی پوزیترون زا است که پتانسیل بالایی برای استفاده در پزشکی هسته ای دارد؛ اما به دلیل دشواری تولید مقادیر تجاری آن، فقط در مطالعات آزمایشگاهی استفاده می شود. این رادیونوکلیید معمولا از طریق واکنش Br76Se(p,n)76 تولید می شود. هدف از این تحقیق، بررسی امکان تولید تجاری Br76 از طریق بمباران هدف هایی از جنس ایزوتوپ های پایدار ژرمانیم با یون سنگین Li+7 است. با استفاده از کدهای مونت کارلو EMPIRE و LISEcute++، توابع برانگیختگی واکنش های Br76Li+,n)7)Ge70، Br76n)3Li+, 7)Ge72، Br76n)4Li+, 7)Ge73، Br76n)5Li+, 7)Ge74 و Br76n)7Li+, 7)Ge76 رسم شده و از مقایسه این توابع برانگیختگی، واکنش Br76n)3Li+, 7)Ge72 در محدوده انرژی 30 تا 40 مگاالکترون ولت به عنوان واکنش برتر انتخاب شد. بیشینه بهره تولید تیوری در انرژی 40 مگاالکترون ولت برای این کدها به ترتیب MBq/µAh 46/32 و MBq/µAh 43/61 است. بهره تیوری و تجربی واکنش Br76p,n))Se76 در انرژی 16 مگاالکترون ولت به ترتیب MBq/µAh 61/506 و MBq/µAh 88 است. از مقایسه بهره تولید تیوری واکنش‎های Br76n)3Li+, 7)Ge72 و Br76Se(p,n)76 می توان این نتیجه را گرفت که واکنش Br76n)3Li+, 7)Ge72 تنها زمانی مورد توجه قرار می گیرد که هدف Ge72 یا ترکیبی از آن قابلیت پرتوگیری طولانی مدت (بدون ذوب شدن) را داشته باشد و از این طریق، اکتیویته Br76 بیش تری را در عمل تولید کند.
    کلید واژگان: برم-76، ژرمانیم، سلنیم-76، شبیه سازی مونت کارلو، بهره تولید
    A. Jamshidi, M. Nirouei *
    Bromine-76 (half-life = 16.2 hours) is a positron emitter radionuclide which has a high potential for use in nuclear medicine; but due to the difficulty of producing commercial quantities, it is only used in laboratory studies. This radionuclide is usually produced through the reaction of 76Se(p,n)76Br. The purpose of this research is to investigate the possibility of 76Br commercial production by bombarding targets made of stable germanium isotopes with 7Li+ heavy ion. The excitation functions of 70Ge(7Li+,n)76Br, 72Ge(7Li+,3n)76Br, 73Ge(7Li+,4n)76Br, 74Ge(7Li+,5n)76Br and 76Ge(7Li+,7n)76Br reactions were drawn using the EMPIRE and LISEcute++ codes, and from the comparison of these excitation functions, the 72Ge(7Li+,3n)76Br in the energy range of 30 to 40MeV was selected as the premier reaction. The maximum theoretical production yield in the energy of 40MeV for these codes are 32.46MBq/µAh and 61.43MBq/µAh, respectively. The theoretical and experimental yields of the 76Se(p,n)76Br at energy of 16MeV are 506.61MBq/µAh and 88MBq/µAh, respectively. From the comparison of the theoretical production yield of 72Ge(7Li+,3n)76Br and 76Se(p,n)76Br reactions, it can be concluded that the 72Ge(7Li+,3n)76Br reaction is considered only when the target of 72Ge or a combination of that have long-term irradiation capability (without melting) and thus produce more 76Br activity in practice.
    Keywords: Bromine-76, Germanium, Selenium-76, Monte Carlo Simulation, Production Yield
  • فاطمه سادات میرصدوقی، اکرم کهن سال*

    در این مقاله، تحت نمونه های سانسور فزاینده پیوندی بهبود یافته، برآورد بیزی پارامتر قابلیت اعتماد چندمولفه ای با مولفه های مقاومت غیر یکسان در توزیع گومپرتز تعمیم یافته یکه، بررسی می شود. این مسئله در سه حالت مختلف حل شده است. در حالت اول، فرض می شود که متغیرهای تنش و مقاومت دارای پارامترهای غیر مشترک نامعلوم هستند. در حالت دوم  فرض می شود که متغیرهای تنش و مقاومت دارای دو پارامتر مشترک و یک پارامتر غیر مشترک هستند به طوری که همه این پارامترها نامعلومند. در حالت سوم، فرض می شود که متغیرهای تنش و مقاومت دارای دو پارامتر مشترک معلوم و یک پارامتر غیر مشترک نامعلوم هستند. در هر کدام از این حالت ها، برآورد بیزی پارامتر قابلیت اعتماد چندمولفه ای با مولفه های مقاومت غیر یکسان، به دست می آیند. در نهایت با روش شبیه سازی مونت کارلو عملکرد برآوردهای مختلف با هم مقایسه شده و نتایج روی یک سری داده واقعی پیاده سازی می شوند.

    کلید واژگان: توزیع گومپرتز تعمیم یافته یکه، پارامتر قابلیت اعتماد چندمولفه‎ ای، برآورد بیز، شبیه سازی مونت
    Fateme Sadat Mirsadooghi, Akram Kohansal*

    ‎In this paper, under adaptive hybrid progressive censoring samples, Bayes estimation of the multi-component reliability, with the non-identical-component strengths, in unit generalized Gompertz distribution is considered. This problem is solved in three cases. In the first case, strengths and stress variables are assumed to have unknown, uncommon parameters. In the second case,  it is assumed that strengths and stress variables have two common and one uncommon parameter, so all of these parameters are unknown. In the third case, it is assumed that strengths and stress variables have two known common parameters and one unknown uncommon parameter. In each of these cases, Bayes estimation of the multi-component reliability, with the non-identical-component strengths, is obtained with different methods. Finally, different estimations are compared using the Monte Carlo simulation, and the results are implemented on one real data set.

    Keywords: ‎Unit Generalized Gompertz Distribution‎‎, Multi-Component Reliability Parameter‎, Bayesian Estimation, Monte Carlo Simulation
نکته
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