Background Tuberculosis(TB)continues to be prevalent in China also among children and adolescents in China.We built a dynamic mathematical model for TB transmission in China,and applied it to compare the epidemic tren...Background Tuberculosis(TB)continues to be prevalent in China also among children and adolescents in China.We built a dynamic mathematical model for TB transmission in China,and applied it to compare the epidemic trends 2021–2030 under a range of screening interventions focusing on children and adolescents.Methods We developed a dynamic mathematical model with a flexible structure.The model can be applied either stochastically or deterministically,and can encompass arbitrary age structure and resistance levels.In the present version,we used the deterministic version excluding resistance but including age structure with six groups:0–5,6–11,12–14,15–17,18–64,and 65 years and above.We parameterized the model by literature data and fitting it to case and death estimates provided by the World Health Organization.We compared the new TB cases and TB-related deaths in each age group over the period 2021–2030 in 10 scenarios that involved intensified screening of particular age groups of children,adolescents,or young adults,or decreased or increased diagnostic accuracy of the screening.Results Screening the entire age class of 18-year-old persons would prevent 517,000 TB cases and 14,600 TB-related deaths between years 2021 and 2030,corresponding to 6.6%and 5.5%decrease from the standard of care projection,respectively.Annual screening of children aged 6–11 and,to a lesser extent,0–5 years,also reduced TB incidence and mortality,particularly among children of the respective ages but also in other age groups.In contrast,intensified screening of adolescents did not have a major impact.Screening with a simpler and less accurate method resulted in worsened outcomes,which could not be offset by more intensive screening.More accurate screening and better sensitivity to detect latent TB could prevent 2.3 million TB cases and 68,500 TB deaths in the coming 10 years.Conclusion Routine screening in schools can efficiently reduce the burden of TB in China.Screening should be intensified particularly among children in primary school age.展开更多
Screening is an important process in mineral industry. In this paper, a study has been made to simulate the screening process based on a high-performance MATLAB/Simulink software, with an example of simulating the sie...Screening is an important process in mineral industry. In this paper, a study has been made to simulate the screening process based on a high-performance MATLAB/Simulink software, with an example of simulating the sieving process of a vibrating screen. A simulation model of the sieving process with a vibrating screen (SMSPVS) was proposed, using correlative mathematical models and Simulink blocks. The results show that the simulation data was very close to the actual data, The minimum errors of size distribution of oversize and undersize are 0.65% and 0.20%, resoectivelv. The sieving orocess can be accurately simulated by the SMSPVS.展开更多
Objectives: Sexually Transmitted Infections (STIs) have a great public health impact globally. STIs are one of the most critical health problems in the United States of America (USA). Here, we present a mathematical m...Objectives: Sexually Transmitted Infections (STIs) have a great public health impact globally. STIs are one of the most critical health problems in the United States of America (USA). Here, we present a mathematical model for testing several interventions that are designed for various communities in order to control the Chlamydia epidemic. Study Design: Based on a community sexual behavior survey, we constructed and parameterized a mathematical disease transmission model to estimate the spread dynamics of Chlamydia in young adults in the northern part of Omaha, Nebraska. Methods: A differential equations based continuous time simulation model is run for various scenarios. The model considers only one age group i.e., 19 - 25 ages, which is considered as the highest risk group for this sexually transmitted disease. Our model assumes homogeneous mixing within this age group and use published estimates to model mixing rates between individuals. Results: The presented model quantified the potential value of screening and treatment programs for Chlamydia in reducing the burden of disease in this specific community. By increasing the screening and treatment rates from 35% to 85%, great public health benefit can be achieved in two years, i.e., total cases reduction around 9% just in this considered age group. Conclusions: Computational results show that behavioral change based interventions on prevention have some effect on reducing the prevalence in the targeted age group;however, more benefit can be obtained with frequent screening and treatment programs.展开更多
Little is known about the dynamics of the early stages of untreated active pulmonary tuberculosis:unknown are both the rates of progression and the model“scheme”.The“parallel”scheme assumes that infectiousness of ...Little is known about the dynamics of the early stages of untreated active pulmonary tuberculosis:unknown are both the rates of progression and the model“scheme”.The“parallel”scheme assumes that infectiousness of tuberculosis cases is effectively predefined at the onset of the disease,and the“serial”scheme considers all cases to be noninfectious at the onset,with some of them later becoming infectious.Our aim was to estimate the progression of the early stages of pulmonary tuberculosis using data from a present-day population.We used the routine notification data from Moscow,Russia,2013e2018 that contained the results and time of the last fluorographic screening preceding the detection of tuberculosis cases.This provided time limits on the duration of untreated tuberculosis.Parameters of TB progression under both models were estimated.By the goodness of fit to the data,we could prefer neither the“parallel”,nor the“serial”model,although the latter had a bit worse fit.On the other hand,the observed rise in the fraction of infectious tuberculosis cases with the time since the last screening was explained by the“serial”model in a more plausible way e as gradual progression of some cases to infectiousness.The“parallel”model explained it through less realistic quick removal of non-infectious cases and accumulation of the infectious ones.The results demonstrate the potential of using such detection data enriched with reassessments of the previous screenings.展开更多
The pulsed-spray fluid-bed granulation (PSFBG) process was investigated and optimized using definitive scree ning design, a recently proposed new class of three-level desig n of experiment method. Such a design enable...The pulsed-spray fluid-bed granulation (PSFBG) process was investigated and optimized using definitive scree ning design, a recently proposed new class of three-level desig n of experiment method. Such a design enabled quadratic models to be established that described the effect of six in put process parameters - inlet air temperature, inlet air humidity, binder spray rate, atomization pressure, pulse period, and pulse width - on the granule quality in a PSFBG process. Mathematical models of the mean particle size, relative size distribution width, production yield, and porosity were developed to quantify the relationships between the in flue ncing factors and critical quality attributes. On the basis of con strai nts on the desired granule properties, a design space for PSFBG was determined and ranges of the operating parameters were defined. An acceptable degree of prediction was confirmed by validation experiments, demonstrating the reliability and effectiveness of using definitive screening design to study the PSFBG process. This method can accelerate screening and optimization of this process within a large multidimensional design space.展开更多
BACKGROUND Hepatitis C virus(HCV)infection is a major global public health problem.In the Republic of Cyprus,the estimated prevalence of chronic hepatitis C(CHC)among the general population is 0.6%,while the CHC preva...BACKGROUND Hepatitis C virus(HCV)infection is a major global public health problem.In the Republic of Cyprus,the estimated prevalence of chronic hepatitis C(CHC)among the general population is 0.6%,while the CHC prevalence among people who inject drugs(PWID)is estimated at 46%.Direct-acting antivirals that can eliminate HCV are not yet widely available in the Republic of Cyprus.However,when direct-acting antivirals become available,a long-term strategic plan to guide elimination efforts will be needed to maximize the effect of treatment.AIM To determine the programmatic targets to eliminate HCV in the Republic of Cyprus.METHODS A dynamic,stochastic,individual-based model of HCV transmission,disease progression,and cascade of care was calibrated to data from Cyprus.The model stratifies the population into the infected general population and the PWID population.A variety of test,prevention,and treatment strategies concerning the general population,PWID,or both were examined.The time horizon of the analysis was until 2034.RESULTS Under the status quo scenario,the model predicted that 75(95%confidence interval(CI):60,91)and 575(95%CI:535,615)liver-related deaths and new infections would occur by 2034,respectively.Launching an expanded treatment program,without screening interventions,would cause modest outcomes regarding CHC prevalence(16.6%reduction in 2034 compared to 2020)and liverrelated deaths(10 deaths would be prevented compared to the status quo scenario by 2034).Implementing a test and treat strategy among the general population but without any intervention in the PWID population would suffice to meet the mortality target but not the incidence target.To achieve HCV elimination in Cyprus,3080(95%CI:3000,3200)HCV patients need to be diagnosed and treated by 2034(2680 from the general population and 400 from PWID),and harm reduction coverage among PWID should be increased by 3%per year(from 25%in 2020 to 67%in 2034).CONCLUSION Elimination of HCV is a demanding public health strategy,which requires significant interventions both among the general population and high-risk groups.展开更多
基金funded by China Scholarship Council (CSC) (Grant No.202106180043)funded by China Scholarship Council (Grant No.202206180007).
文摘Background Tuberculosis(TB)continues to be prevalent in China also among children and adolescents in China.We built a dynamic mathematical model for TB transmission in China,and applied it to compare the epidemic trends 2021–2030 under a range of screening interventions focusing on children and adolescents.Methods We developed a dynamic mathematical model with a flexible structure.The model can be applied either stochastically or deterministically,and can encompass arbitrary age structure and resistance levels.In the present version,we used the deterministic version excluding resistance but including age structure with six groups:0–5,6–11,12–14,15–17,18–64,and 65 years and above.We parameterized the model by literature data and fitting it to case and death estimates provided by the World Health Organization.We compared the new TB cases and TB-related deaths in each age group over the period 2021–2030 in 10 scenarios that involved intensified screening of particular age groups of children,adolescents,or young adults,or decreased or increased diagnostic accuracy of the screening.Results Screening the entire age class of 18-year-old persons would prevent 517,000 TB cases and 14,600 TB-related deaths between years 2021 and 2030,corresponding to 6.6%and 5.5%decrease from the standard of care projection,respectively.Annual screening of children aged 6–11 and,to a lesser extent,0–5 years,also reduced TB incidence and mortality,particularly among children of the respective ages but also in other age groups.In contrast,intensified screening of adolescents did not have a major impact.Screening with a simpler and less accurate method resulted in worsened outcomes,which could not be offset by more intensive screening.More accurate screening and better sensitivity to detect latent TB could prevent 2.3 million TB cases and 68,500 TB deaths in the coming 10 years.Conclusion Routine screening in schools can efficiently reduce the burden of TB in China.Screening should be intensified particularly among children in primary school age.
文摘Screening is an important process in mineral industry. In this paper, a study has been made to simulate the screening process based on a high-performance MATLAB/Simulink software, with an example of simulating the sieving process of a vibrating screen. A simulation model of the sieving process with a vibrating screen (SMSPVS) was proposed, using correlative mathematical models and Simulink blocks. The results show that the simulation data was very close to the actual data, The minimum errors of size distribution of oversize and undersize are 0.65% and 0.20%, resoectivelv. The sieving orocess can be accurately simulated by the SMSPVS.
文摘Objectives: Sexually Transmitted Infections (STIs) have a great public health impact globally. STIs are one of the most critical health problems in the United States of America (USA). Here, we present a mathematical model for testing several interventions that are designed for various communities in order to control the Chlamydia epidemic. Study Design: Based on a community sexual behavior survey, we constructed and parameterized a mathematical disease transmission model to estimate the spread dynamics of Chlamydia in young adults in the northern part of Omaha, Nebraska. Methods: A differential equations based continuous time simulation model is run for various scenarios. The model considers only one age group i.e., 19 - 25 ages, which is considered as the highest risk group for this sexually transmitted disease. Our model assumes homogeneous mixing within this age group and use published estimates to model mixing rates between individuals. Results: The presented model quantified the potential value of screening and treatment programs for Chlamydia in reducing the burden of disease in this specific community. By increasing the screening and treatment rates from 35% to 85%, great public health benefit can be achieved in two years, i.e., total cases reduction around 9% just in this considered age group. Conclusions: Computational results show that behavioral change based interventions on prevention have some effect on reducing the prevalence in the targeted age group;however, more benefit can be obtained with frequent screening and treatment programs.
基金KKA and AAR were supported by the Moscow Center of Fundamental and Applied Mathematics(Agreement 075-15-2019-1624 with the Ministry of Education and Science of the Russian Federation)https://mathcenter.ru/en/.EMB and SEB were supported by research project No.AAAA-A20-120062990040-100Development of a program for expanded access to tuberculosis control measures for the population of the city of Moscow:medical,social and economic justification”funded by the Department of Health of the Moscow Government,https://mosgorzdrav.ru/en-US/index.html。
文摘Little is known about the dynamics of the early stages of untreated active pulmonary tuberculosis:unknown are both the rates of progression and the model“scheme”.The“parallel”scheme assumes that infectiousness of tuberculosis cases is effectively predefined at the onset of the disease,and the“serial”scheme considers all cases to be noninfectious at the onset,with some of them later becoming infectious.Our aim was to estimate the progression of the early stages of pulmonary tuberculosis using data from a present-day population.We used the routine notification data from Moscow,Russia,2013e2018 that contained the results and time of the last fluorographic screening preceding the detection of tuberculosis cases.This provided time limits on the duration of untreated tuberculosis.Parameters of TB progression under both models were estimated.By the goodness of fit to the data,we could prefer neither the“parallel”,nor the“serial”model,although the latter had a bit worse fit.On the other hand,the observed rise in the fraction of infectious tuberculosis cases with the time since the last screening was explained by the“serial”model in a more plausible way e as gradual progression of some cases to infectiousness.The“parallel”model explained it through less realistic quick removal of non-infectious cases and accumulation of the infectious ones.The results demonstrate the potential of using such detection data enriched with reassessments of the previous screenings.
文摘The pulsed-spray fluid-bed granulation (PSFBG) process was investigated and optimized using definitive scree ning design, a recently proposed new class of three-level desig n of experiment method. Such a design enabled quadratic models to be established that described the effect of six in put process parameters - inlet air temperature, inlet air humidity, binder spray rate, atomization pressure, pulse period, and pulse width - on the granule quality in a PSFBG process. Mathematical models of the mean particle size, relative size distribution width, production yield, and porosity were developed to quantify the relationships between the in flue ncing factors and critical quality attributes. On the basis of con strai nts on the desired granule properties, a design space for PSFBG was determined and ranges of the operating parameters were defined. An acceptable degree of prediction was confirmed by validation experiments, demonstrating the reliability and effectiveness of using definitive screening design to study the PSFBG process. This method can accelerate screening and optimization of this process within a large multidimensional design space.
基金the Onisilos Funding Scheme of the University of Cyprus.
文摘BACKGROUND Hepatitis C virus(HCV)infection is a major global public health problem.In the Republic of Cyprus,the estimated prevalence of chronic hepatitis C(CHC)among the general population is 0.6%,while the CHC prevalence among people who inject drugs(PWID)is estimated at 46%.Direct-acting antivirals that can eliminate HCV are not yet widely available in the Republic of Cyprus.However,when direct-acting antivirals become available,a long-term strategic plan to guide elimination efforts will be needed to maximize the effect of treatment.AIM To determine the programmatic targets to eliminate HCV in the Republic of Cyprus.METHODS A dynamic,stochastic,individual-based model of HCV transmission,disease progression,and cascade of care was calibrated to data from Cyprus.The model stratifies the population into the infected general population and the PWID population.A variety of test,prevention,and treatment strategies concerning the general population,PWID,or both were examined.The time horizon of the analysis was until 2034.RESULTS Under the status quo scenario,the model predicted that 75(95%confidence interval(CI):60,91)and 575(95%CI:535,615)liver-related deaths and new infections would occur by 2034,respectively.Launching an expanded treatment program,without screening interventions,would cause modest outcomes regarding CHC prevalence(16.6%reduction in 2034 compared to 2020)and liverrelated deaths(10 deaths would be prevented compared to the status quo scenario by 2034).Implementing a test and treat strategy among the general population but without any intervention in the PWID population would suffice to meet the mortality target but not the incidence target.To achieve HCV elimination in Cyprus,3080(95%CI:3000,3200)HCV patients need to be diagnosed and treated by 2034(2680 from the general population and 400 from PWID),and harm reduction coverage among PWID should be increased by 3%per year(from 25%in 2020 to 67%in 2034).CONCLUSION Elimination of HCV is a demanding public health strategy,which requires significant interventions both among the general population and high-risk groups.