This paper presents an efficient numerical technique for solving multi-term linear systems of fractional ordinary differential equations(FODEs)which have been widely used in modeling various phenomena in engineering a...This paper presents an efficient numerical technique for solving multi-term linear systems of fractional ordinary differential equations(FODEs)which have been widely used in modeling various phenomena in engineering and science.An approximate solution of the system is sought in the formof the finite series over the Müntz polynomials.By using the collocation procedure in the time interval,one gets the linear algebraic system for the coefficient of the expansion which can be easily solved numerically by a standard procedure.This technique also serves as the basis for solving the time-fractional partial differential equations(PDEs).The modified radial basis functions are used for spatial approximation of the solution.The collocation in the solution domain transforms the equation into a system of fractional ordinary differential equations similar to the one mentioned above.Several examples have verified the performance of the proposed novel technique with high accuracy and efficiency.展开更多
In recent times, lithium-ion batteries have been widely used owing to their high energy density, extended cycle lifespan, and minimal self-discharge rate. The design of high-speed rechargeable lithium-ion batteries fa...In recent times, lithium-ion batteries have been widely used owing to their high energy density, extended cycle lifespan, and minimal self-discharge rate. The design of high-speed rechargeable lithium-ion batteries faces a significant challenge owing to the need to increase average electric power during charging. This challenge results from the direct influence of the power level on the rate of chemical reactions occurring in the battery electrodes. In this study, the Taguchi optimization method was used to enhance the average electric power during the charging process of lithium-ion batteries. The Taguchi technique is a statistical strategy that facilitates the systematic and efficient evaluation of numerous experimental variables. The proposed method involved varying seven input factors, including positive electrode thickness, positive electrode material, positive electrode active material volume fraction, negative electrode active material volume fraction, separator thickness, positive current collector thickness, and negative current collector thickness. Three levels were assigned to each control factor to identify the optimal conditions and maximize the average electric power during charging. Moreover, a variance assessment analysis was conducted to validate the results obtained from the Taguchi analysis. The results revealed that the Taguchi method was an eff ective approach for optimizing the average electric power during the charging of lithium-ion batteries. This indicates that the positive electrode material, followed by the separator thickness and the negative electrode active material volume fraction, was key factors significantly infl uencing the average electric power during the charging of lithium-ion batteries response. The identification of optimal conditions resulted in the improved performance of lithium-ion batteries, extending their potential in various applications. Particularly, lithium-ion batteries with average electric power of 16 W and 17 W during charging were designed and simulated in the range of 0-12000 s using COMSOL Multiphysics software. This study efficiently employs the Taguchi optimization technique to develop lithium-ion batteries capable of storing a predetermined average electric power during the charging phase. Therefore, this method enables the battery to achieve complete charging within a specific timeframe tailored to a specificapplication. The implementation of this method can save costs, time, and materials compared with other alternative methods, such as the trial-and-error approach.展开更多
Candidiasis, also known as candidiasis vulvovaginitis, is an infection caused by different types of Candida fungi, the most frequent being Candida albicans. The present study reports an effective strategy, which opens...Candidiasis, also known as candidiasis vulvovaginitis, is an infection caused by different types of Candida fungi, the most frequent being Candida albicans. The present study reports an effective strategy, which opens new avenues for the treatment of this public health problem. The MAC<sup>®</sup> Methodology, conventional laser light-emitting (LLLT)/LED) methods are based on the biphasic response demonstrated many times in LLLT research and as with other forms of drugs, a “drug” (irradiation parameters) and a “dose” (irradiation times) and the “Arndt-Schulz Law” is often cited as a suitable model to describe the dose-dependent effects of LLLT. This method uses photopharmaceuticals, cell markers and the use of correct parameters for each case to induce the acceleration of tissue repair. The present study shows a case of a 32-year-old patient diagnosed with recurrent candidiasis 4 years ago. Eighteen sessions were performed (every other day) using a photoactivated component (Methylene blue 1% + Clotrimazole 1%) and LED phototherapy (red, blue and violet) with emission times of 60 - 260 seconds for each applicator, according to the dose recommendations of the scar acceleration method (MAC<sup>®</sup>). At the sixth treatment session there was a noticeable decrease in the itching sensation reported by the patient. In session 11 she reported feeling a great improvement, indicating that she no longer felt itching in any area after 18 sessions. The present case demonstrates new methodologies to treat common problems in the population that have a positive impact on the quality of life. This methodology has a promising future because it is non-invasive and requires a great biological transformation for inflammatory, fungal and viral control.展开更多
Increasing incidences showed that food allergies have attracted more and more attention from researchers.BALB/c mice were sensitized with wheat gluten combined with aluminum hydroxide adjuvant via intraperitoneal inje...Increasing incidences showed that food allergies have attracted more and more attention from researchers.BALB/c mice were sensitized with wheat gluten combined with aluminum hydroxide adjuvant via intraperitoneal injection,transdermal sensitization,and oral gavage sensitization route.Results showed that all the three sensitization methods could induce allergic symptoms;increase the serum antibody(total immunoglobulin E(IgE),specific IgE,IgG,IgA)and histamine content;promote the secretion of Th2 cytokines(interleukin(IL)-4,IL-5,IL-13)and inflammatory factors(IL-6,IL-17 A,IL-10);and inhibit the production of Th1 cytokines(IFN-γ,IL-2).However,the allergic symptoms of mice sensitized by intraperitoneal injection were the most obvious among the three models.The level of serum antibodies in intraperitoneal injection group was significantly higher than control.Subsequently,16 S rRNA sequencing technology was used to analyze the intestinal flora of mice.The results showed that the abundance of Firmicutes in the wheat protein sensitized group was lower than that in the normal group,while the abundance of Bacteroidetes was higher,and Lactobacillus was the difference marker in normal group.Bacterial species diversity analysis showed that the species richness and diversity of intestinal flora in mice were decreased,the difference between mice induced by intraperitoneal injection and normal control group mice was the most significant.Taken together,these results show that among three sensitization methods used to build a mouse model with aluminum hydroxide as adjuvant,intraperitoneal injection is the comparably best way to build a mouse sensitization mode.展开更多
基金funded by the National Key Research and Development Program of China(No.2021YFB2600704)the National Natural Science Foundation of China(No.52171272)the Significant Science and Technology Project of the Ministry of Water Resources of China(No.SKS-2022112).
文摘This paper presents an efficient numerical technique for solving multi-term linear systems of fractional ordinary differential equations(FODEs)which have been widely used in modeling various phenomena in engineering and science.An approximate solution of the system is sought in the formof the finite series over the Müntz polynomials.By using the collocation procedure in the time interval,one gets the linear algebraic system for the coefficient of the expansion which can be easily solved numerically by a standard procedure.This technique also serves as the basis for solving the time-fractional partial differential equations(PDEs).The modified radial basis functions are used for spatial approximation of the solution.The collocation in the solution domain transforms the equation into a system of fractional ordinary differential equations similar to the one mentioned above.Several examples have verified the performance of the proposed novel technique with high accuracy and efficiency.
文摘In recent times, lithium-ion batteries have been widely used owing to their high energy density, extended cycle lifespan, and minimal self-discharge rate. The design of high-speed rechargeable lithium-ion batteries faces a significant challenge owing to the need to increase average electric power during charging. This challenge results from the direct influence of the power level on the rate of chemical reactions occurring in the battery electrodes. In this study, the Taguchi optimization method was used to enhance the average electric power during the charging process of lithium-ion batteries. The Taguchi technique is a statistical strategy that facilitates the systematic and efficient evaluation of numerous experimental variables. The proposed method involved varying seven input factors, including positive electrode thickness, positive electrode material, positive electrode active material volume fraction, negative electrode active material volume fraction, separator thickness, positive current collector thickness, and negative current collector thickness. Three levels were assigned to each control factor to identify the optimal conditions and maximize the average electric power during charging. Moreover, a variance assessment analysis was conducted to validate the results obtained from the Taguchi analysis. The results revealed that the Taguchi method was an eff ective approach for optimizing the average electric power during the charging of lithium-ion batteries. This indicates that the positive electrode material, followed by the separator thickness and the negative electrode active material volume fraction, was key factors significantly infl uencing the average electric power during the charging of lithium-ion batteries response. The identification of optimal conditions resulted in the improved performance of lithium-ion batteries, extending their potential in various applications. Particularly, lithium-ion batteries with average electric power of 16 W and 17 W during charging were designed and simulated in the range of 0-12000 s using COMSOL Multiphysics software. This study efficiently employs the Taguchi optimization technique to develop lithium-ion batteries capable of storing a predetermined average electric power during the charging phase. Therefore, this method enables the battery to achieve complete charging within a specific timeframe tailored to a specificapplication. The implementation of this method can save costs, time, and materials compared with other alternative methods, such as the trial-and-error approach.
文摘Candidiasis, also known as candidiasis vulvovaginitis, is an infection caused by different types of Candida fungi, the most frequent being Candida albicans. The present study reports an effective strategy, which opens new avenues for the treatment of this public health problem. The MAC<sup>®</sup> Methodology, conventional laser light-emitting (LLLT)/LED) methods are based on the biphasic response demonstrated many times in LLLT research and as with other forms of drugs, a “drug” (irradiation parameters) and a “dose” (irradiation times) and the “Arndt-Schulz Law” is often cited as a suitable model to describe the dose-dependent effects of LLLT. This method uses photopharmaceuticals, cell markers and the use of correct parameters for each case to induce the acceleration of tissue repair. The present study shows a case of a 32-year-old patient diagnosed with recurrent candidiasis 4 years ago. Eighteen sessions were performed (every other day) using a photoactivated component (Methylene blue 1% + Clotrimazole 1%) and LED phototherapy (red, blue and violet) with emission times of 60 - 260 seconds for each applicator, according to the dose recommendations of the scar acceleration method (MAC<sup>®</sup>). At the sixth treatment session there was a noticeable decrease in the itching sensation reported by the patient. In session 11 she reported feeling a great improvement, indicating that she no longer felt itching in any area after 18 sessions. The present case demonstrates new methodologies to treat common problems in the population that have a positive impact on the quality of life. This methodology has a promising future because it is non-invasive and requires a great biological transformation for inflammatory, fungal and viral control.
基金supported by the National Key Research and Development Program of China(2019YFC1605000)the National Natural Science Foundation(1872904)。
文摘Increasing incidences showed that food allergies have attracted more and more attention from researchers.BALB/c mice were sensitized with wheat gluten combined with aluminum hydroxide adjuvant via intraperitoneal injection,transdermal sensitization,and oral gavage sensitization route.Results showed that all the three sensitization methods could induce allergic symptoms;increase the serum antibody(total immunoglobulin E(IgE),specific IgE,IgG,IgA)and histamine content;promote the secretion of Th2 cytokines(interleukin(IL)-4,IL-5,IL-13)and inflammatory factors(IL-6,IL-17 A,IL-10);and inhibit the production of Th1 cytokines(IFN-γ,IL-2).However,the allergic symptoms of mice sensitized by intraperitoneal injection were the most obvious among the three models.The level of serum antibodies in intraperitoneal injection group was significantly higher than control.Subsequently,16 S rRNA sequencing technology was used to analyze the intestinal flora of mice.The results showed that the abundance of Firmicutes in the wheat protein sensitized group was lower than that in the normal group,while the abundance of Bacteroidetes was higher,and Lactobacillus was the difference marker in normal group.Bacterial species diversity analysis showed that the species richness and diversity of intestinal flora in mice were decreased,the difference between mice induced by intraperitoneal injection and normal control group mice was the most significant.Taken together,these results show that among three sensitization methods used to build a mouse model with aluminum hydroxide as adjuvant,intraperitoneal injection is the comparably best way to build a mouse sensitization mode.