Computational and Mathematical Biophysics最新文献_第2页

Cost-effective optimal control analysis of a COVID-19 transmission model incorporating community awareness and waning immunity 考虑社区意识和免疫力下降的COVID-19传播模型的成本效益最优控制分析

Computational and Mathematical Biophysics Pub Date : 2023-01-01 DOI: 10.1515/cmb-2023-0154

Sonu Lamba, P. Srivastava

{"title":"Cost-effective optimal control analysis of a COVID-19 transmission model incorporating community awareness and waning immunity","authors":"Sonu Lamba, P. Srivastava","doi":"10.1515/cmb-2023-0154","DOIUrl":"https://doi.org/10.1515/cmb-2023-0154","url":null,"abstract":"Abstract This article presents a cost-effective optimal control analysis of interventions applied to a S2EI2RS type deterministic compartmental model of COVID-19, considering community awareness and immunity loss. We introduce two time-dependent controls, namely, home quarantine and treatment, to the model for defining an optimal control problem (OCP). In addition to some basic qualitative properties, we obtain the reproductive threshold R 0 {R}_{0} by using the next-generation method and see the impact of controls on it. We also investigate the effect of community awareness and waning immunity, when no controls are applied. The existence and characterization of optimal controls is proved to establish the optimality system, and the OCP is solved using the forward–backward sweep method. The results are simulated using MATLAB. Our comparative cost-effective analysis indicates that implementing both control strategies simultaneously, along with community awareness, is the most optimal and sustainable way to flatten COVID-19 curves in a short period of time than that of implementing single controls. This article offers valuable insights that can assist policymakers and public health experts in designing targeted and effective control measures for COVID-19 and future epidemics in the post-COVID era. Therefore, this piece of work could be a valuable contribution to the existing literature.","PeriodicalId":34018,"journal":{"name":"Computational and Mathematical Biophysics","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42493366","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

An SEIR model with modified saturated incidence rate and Holling type II treatment function 具有修正饱和发病率和Holling II型治疗函数的SEIR模型

Computational and Mathematical Biophysics Pub Date : 2023-01-01 DOI: 10.1515/cmb-2022-0146

Shilpa Umdekar, P. Sharma, Shivram Sharma

引用次数: 0

An eco-epidemiological model with predator switching behavior 具有捕食者转换行为的生态流行病学模型

Computational and Mathematical Biophysics Pub Date : 2023-01-01 DOI: 10.1515/cmb-2023-0101

Deepak Tripathi, Anuraj Singh

引用次数: 0

Study of nanolayer on red blood cells as drug carrier in an artery with stenosis 狭窄动脉中红细胞纳米层作为药物载体的研究

Computational and Mathematical Biophysics Pub Date : 2023-01-01 DOI: 10.1515/cmb-2023-0103

Bhawini Prasad

{"title":"Study of nanolayer on red blood cells as drug carrier in an artery with stenosis","authors":"Bhawini Prasad","doi":"10.1515/cmb-2023-0103","DOIUrl":"https://doi.org/10.1515/cmb-2023-0103","url":null,"abstract":"Abstract This article discusses a novel idea from cell therapy in which nanoparticles (NPs) are adsorbed on red blood cells (RBCs). RBCs serve as a drug carrier for NPs or nanodrugs adsorbed on the cell membrane of RBC. For the purpose of examination, <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:msub> <m:mrow> <m:mi mathvariant=\"normal\">Fe</m:mi> </m:mrow> <m:mrow> <m:mn>3</m:mn> </m:mrow> </m:msub> <m:msub> <m:mrow> <m:mi mathvariant=\"normal\">O</m:mi> </m:mrow> <m:mrow> <m:mn>4</m:mn> </m:mrow> </m:msub> </m:math> {{rm{Fe}}}_{3}{{rm{O}}}_{4} NPs are adsorbed on RBCs, collectively called NP-RBC complex. RBCs being a natural vascular carrier, have high transfusion rates and biocompatibility. This mathematical study provides a basis to attempt nanodrug delivery via RBCs, as carriers for nanodrugs, to the stenosed sites in an artery. The mathematical model is developed for an artery with stenosis and a catheter that regards the temperature and velocity of the NP-RBC complex. Catheter coated with the NP-RBC complex is inserted into the lumen of the stenosed artery. The mathematical problem is solved numerically using Bernstein polynomials. The physical features were discussed through graphs plotted using MATLAB. The influence of parameters such as volume fraction, radius of the NP-RBC complex in blood, and the thickness of the nanolayer on RBCs was studied. A noticeable outcome states that the nanolayer of optimum thickness about 50–40 nm is suitable for this purpose. Thus, this is an attempt to study the delivery of NPs adsorbed on the surface of RBCs to develop newfangled strategies in nanomedicine bearing high precision and efficiency.","PeriodicalId":34018,"journal":{"name":"Computational and Mathematical Biophysics","volume":"258 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135448941","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Within-host models of dengue virus transmission with immune response 具有免疫反应的登革热病毒宿主内传播模型

Computational and Mathematical Biophysics Pub Date : 2023-01-01 DOI: 10.1515/cmb-2022-0150

P. Muthu, Bikash Modak

{"title":"Within-host models of dengue virus transmission with immune response","authors":"P. Muthu, Bikash Modak","doi":"10.1515/cmb-2022-0150","DOIUrl":"https://doi.org/10.1515/cmb-2022-0150","url":null,"abstract":"Abstract Dengue fever is an infectious viral fever. The complex behavior of the virus within the body can be explained through mathematical models to understand the virus’s dynamics. We propose two different with-in host models of dengue virus transmission with humoral immune response. The proposed models differ from one another because one of the models assumes that newly formed viruses infect healthy cells again. To understand the dynamics of the proposed models, we perform a comparative study of stability analysis, numerical simulation, and sensitivity analysis. The basic reproduction number (BRN) of the two models is computed using next-generation matrix method. The local stability (l.s) analysis is discussed using the linearization method. The Lyapunov’s direct method is used to check the global stability (g.s) of the models. It has been found that both the equilibrium states for both the models, namely, virus-free equilibrium state and endemic equilibrium state, are globally stable, based on the value of BRN. Results show the influence of immune response on the cell dynamics and virus particles. The virus neutralization rate by antibodies and rate that affects the antibody growth are highly sensitive for the two models. Optimal control is applied to explore the possible control strategies to prevent virus spread in the host system. It is evident from the results that the strategy to administrate antibiotic drugs and home remedies slow down the virus spread in the host.","PeriodicalId":34018,"journal":{"name":"Computational and Mathematical Biophysics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45059290","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A mathematical model to study the spread of COVID-19 and its control in India 研究COVID-19在印度传播及其控制的数学模型

Computational and Mathematical Biophysics Pub Date : 2023-01-01 DOI: 10.1515/cmb-2022-0149

R. Naresh, S. Sundar, S. Verma, J. B. Shukla

{"title":"A mathematical model to study the spread of COVID-19 and its control in India","authors":"R. Naresh, S. Sundar, S. Verma, J. B. Shukla","doi":"10.1515/cmb-2022-0149","DOIUrl":"https://doi.org/10.1515/cmb-2022-0149","url":null,"abstract":"Abstract In this article, a nonlinear mathematical model is proposed and analyzed to study the spread of coronavirus disease (COVID-19) and its control. Due to sudden emergence of a peculiar kind of infection, no vaccines were available, and therefore, the nonpharmaceutical interventions such as lockdown, isolation, and hospitalization were imposed to stop spreading of the infectious disease. The proposed model consists of six dependent variables, namely, susceptible population, infective population, isolated susceptible population who are aware of the undesirable consequences of the COVID-19, quarantined population of known infectives (symptomatic), recovered class, and the coronavirus population. The model exhibits two equilibria namely, the COVID-19-free equilibrium and the COVID-19-endemic equilibrium. It is observed that if basic reproduction number R 0 < 1 {R}_{0}lt 1 , then the COVID-19-free equilibrium is locally asymptotically stable. However, the endemic equilibrium is locally as well as nonlinearly asymptotically stable under certain conditions if R 0 > 1 {R}_{0}gt 1 . Model analysis shows that if safety measures are adopted by way of isolation of susceptibles and quarantine of infectives, the spread of COVID-19 disease can be kept under control.","PeriodicalId":34018,"journal":{"name":"Computational and Mathematical Biophysics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45979551","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Application of dynamic mode decomposition and compatible window-wise dynamic mode decomposition in deciphering COVID-19 dynamics of India 动态模态分解和兼容逐窗口动态模态分解在印度COVID-19动态解码中的应用

Computational and Mathematical Biophysics Pub Date : 2023-01-01 DOI: 10.1515/cmb-2022-0152

Kanav Singh Rana, Nitu Kumari

{"title":"Application of dynamic mode decomposition and compatible window-wise dynamic mode decomposition in deciphering COVID-19 dynamics of India","authors":"Kanav Singh Rana, Nitu Kumari","doi":"10.1515/cmb-2022-0152","DOIUrl":"https://doi.org/10.1515/cmb-2022-0152","url":null,"abstract":"Abstract The COVID-19 pandemic recently caused a huge impact on India, not only in terms of health but also in terms of economy. Understanding the spatio-temporal patterns of the disease spread is crucial for controlling the outbreak. In this study, we apply the compatible window-wise dynamic mode decomposition (CwDMD) and dynamic mode decomposition (DMD) techniques to the COVID-19 data of India to model the spatial-temporal patterns of the epidemic. We preprocess the COVID-19 data into weekly time-series at the state-level and apply both the CwDMD and DMD methods to decompose the data into a set of spatial-temporal modes. We identify the key modes that capture the dominant features of the COVID-19 spread in India and analyze their phase, magnitude, and frequency relationships to extract the temporal and spatial patterns. By incorporating rank truncation in each window, we have achieved greater control over the system’s output, leading to better results. Our results reveal that the COVID-19 outbreak in India is driven by a complex interplay of regional, demographic, and environmental factors. We identify several key modes that capture the patterns of disease spread in different regions and over time, including seasonal fluctuations, demographic trends, and localized outbreaks. Overall, our study provides valuable insights into the patterns of the COVID-19 outbreak in India using both CwDMD and DMD methods. These findings can help public health organizations to develop more effective strategies for controlling the spread of the pandemic. The CwDMD and DMD methods can be applied to other countries to identify the unique drivers of the outbreak and develop effective control strategies.","PeriodicalId":34018,"journal":{"name":"Computational and Mathematical Biophysics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43841175","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Evaluating early pandemic response through length-of-stay analysis of case logs and epidemiological modeling: A case study of Singapore in early 2020 通过病例日志的停留时间分析和流行病学模型评估早期大流行应对:以2020年初新加坡为例

Computational and Mathematical Biophysics Pub Date : 2023-01-01 DOI: 10.1515/cmb-2023-0104

Jaya Sreevalsan-Nair, Anuj Mubayi, Janvi Chhabra, Reddy Rani Vangimalla, Pritesh Rajesh Ghogale

{"title":"Evaluating early pandemic response through length-of-stay analysis of case logs and epidemiological modeling: A case study of Singapore in early 2020","authors":"Jaya Sreevalsan-Nair, Anuj Mubayi, Janvi Chhabra, Reddy Rani Vangimalla, Pritesh Rajesh Ghogale","doi":"10.1515/cmb-2023-0104","DOIUrl":"https://doi.org/10.1515/cmb-2023-0104","url":null,"abstract":"Abstract It is now known that early government interventions in pandemic management helps in slowing down the pandemic in the initial phase, during which a conservative basic reproduction number can be maintained. There have been several ways to evaluate these early response strategies for COVID-19 during its outbreak globally in 2020. As a novelty, we evaluate them through the lens of patient recovery logistics. Here, we use a data-driven approach of recovery analysis in a case study of Singapore during January 22–April 01, 2020, which is effectively the analysis of length-of-stay in the government healthcare facility, National Center for Infectious Diseases. We propose the use of a data-driven method involving periodization, statistical analysis, regression models, and epidemiological models. We demonstrate that the estimates of reproduction number in Singapore shows variation in different age groups and periods, indicating the success of early intervention strategy in the initial transmission stages of the pandemic.","PeriodicalId":34018,"journal":{"name":"Computational and Mathematical Biophysics","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135705153","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Role of ecotourism in conserving forest biomass: A mathematical model 生态旅游在森林生物量保护中的作用:一个数学模型

Computational and Mathematical Biophysics Pub Date : 2023-01-01 DOI: 10.1515/cmb-2022-0153

Rachana Pathak, A. S. Bhadauria, M. Chaudhary, Harendra Verma, P. Mathur, Manju R. Agrawal, Ram Singh

引用次数: 0

Impact of cross border reverse migration in Delhi–UP region of India during COVID-19 lockdown 新冠肺炎封锁期间印度德里-UP地区跨境反向移民的影响

Computational and Mathematical Biophysics Pub Date : 2023-01-01 DOI: 10.1515/cmb-2022-0151

Shubhangi Dwivedi, Saravana Perumal, Sumit Kumar, Samit Bhattacharyya, Nitu Kumari

{"title":"Impact of cross border reverse migration in Delhi–UP region of India during COVID-19 lockdown","authors":"Shubhangi Dwivedi, Saravana Perumal, Sumit Kumar, Samit Bhattacharyya, Nitu Kumari","doi":"10.1515/cmb-2022-0151","DOIUrl":"https://doi.org/10.1515/cmb-2022-0151","url":null,"abstract":"Abstract The declaration of a nationwide lockdown in India led to millions of migrant workers, particularly from Uttar Pradesh (UP) and Bihar, returning to their home states without proper transportation and social distancing from cities such as Delhi, Mumbai, and Hyderabad. This unforeseen migration and social mixing accelerated the transmission of diseases across the country. To analyze the impact of reverse migration on disease progression, we have developed a disease transmission model for the neighboring Indian states of Delhi and UP. The model’s essential mathematical properties, including positivity, boundedness, equilibrium points (EPs), and their linear stability, as well as computation of the basic reproduction number ( R 0 ) left({R}_{0}) , are studied. The mathematical analysis reveals that the model with active reverse migration cannot reach a disease-free equilibrium, indicating that the failure of restrictive mobility intervention caused by reverse migration kept the disease propagation alive. Further, PRCC analysis highlights the need for effective home isolation, better disease detection techniques, and medical interventions to curb the spread. The study estimates a significantly shorter doubling time for exponential growth of the disease in both regions. In addition, the occurrence of synchronous patterns between epidemic trajectories of the Delhi and UP regions accentuates the severe implications of migrant plight on UP’s already fragile rural health infrastructure. By using COVID-19 incidence data, we quantify key epidemiological parameters, and our scenario analyses demonstrate how different lockdown plans might have impacted disease prevalence. Based on our observations, the transmission rate has the most significant impact on COVID-19 cases. This case study exemplifies the importance of carefully considering these issues before implementing lockdowns and social isolation throughout the country to combat future outbreaks.","PeriodicalId":34018,"journal":{"name":"Computational and Mathematical Biophysics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47509907","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0