Mathematical Biosciences and Engineering最新文献_第7页

Artificial neural networks to predict the presence of Neosporosis in cattle. 人工神经网络预测牛中新孢子病的存在。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-04-08 DOI: 10.3934/mbe.2025041

Javier Antonio Ballesteros-Ricaurte, Ramon Fabregat, Angela Carrillo-Ramos, Carlos Parra, Andrés Moreno

{"title":"Artificial neural networks to predict the presence of Neosporosis in cattle.","authors":"Javier Antonio Ballesteros-Ricaurte, Ramon Fabregat, Angela Carrillo-Ramos, Carlos Parra, Andrés Moreno","doi":"10.3934/mbe.2025041","DOIUrl":"https://doi.org/10.3934/mbe.2025041","url":null,"abstract":"The prediction of bovine infectious diseases is a constant challenge as generally, only laboratory data is available not allowing the study of their relationship with each disease's risk factors. The diseases neosporosis and bovine viral diarrhea, which are present in Colombia, the United States, Mexico, Brazil, and Argentina, cause reproductive problems in cattle and generate economic losses for ranchers. Although there are mathematical models that can evaluate which cattle are susceptible to these diseases, these provide limited information, maintaining the need for a model that provides information on both transmission and mechanisms for controlling the disease. In this article, a machine learning model is presented that combines laboratory data with risk factors in a neural network to predict the presence of bovine neosporosis. The proposed model was implemented with data from previous studies conducted in the municipality of Sotaquirá, Boyacá, Colombia, and obtained an accuracy of 94% in predicting the presence of the disease. It can be concluded that incorporating laboratory data into machine learning algorithms improves the prediction of the presence of these diseases. Furthermore, the proposed system not only predicts but also provides useful information for clinical decision-making, making it a valuable tool in the veterinary field.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"22 5","pages":"1140-1158"},"PeriodicalIF":2.6,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144041793","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A two-group epidemic model with heterogeneity in cognitive effects. 认知效应异质性的两组流行病模型。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-04-08 DOI: 10.3934/mbe.2025040

Zehan Liu, Daoxin Qiu, Shengqiang Liu

{"title":"A two-group epidemic model with heterogeneity in cognitive effects.","authors":"Zehan Liu, Daoxin Qiu, Shengqiang Liu","doi":"10.3934/mbe.2025040","DOIUrl":"https://doi.org/10.3934/mbe.2025040","url":null,"abstract":"During the outbreak of new infectious diseases, media information and medical resources play crucial roles in shaping the dynamics of disease transmission. To investigate the combined impact of media information and limited medical resources on disease spread, we proposed a two-group compartmental model. This model divided the population into two groups based on their ability to receive information. We derived the basic reproduction number, analyzed the local stability of the disease-free equilibrium, and examined the conditions under which disease extinction or persistence occured. For control strategies, we explored both constant and optimal control approaches under the constraint of limited media resources. Numerical simulations indicated that enhancing the population's responsiveness to media and medical resources helped reduce the infection rate. The model also exhibited complex dynamical behaviors, such as backward bifurcation, forward-backward bifurcation, and homoclinic bifurcation, which presented significant challenges for disease control. Furthermore, we conducted numerical simulations of the optimal control problem to validate and support our theoretical findings. In the case of constant control, as the disparity between the two populations increases, media resources should be increasingly allocated to the information-insensitive group. For optimal control, we employed the forward-backward sweep method, where media resources were increasingly allocated to information-insensitive groups as population heterogeneity rises. This study established an empirical framework for optimizing media-driven public health communication strategies, offering critical insights into the strategic allocation of limited media resources across heterogeneous populations.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"22 5","pages":"1109-1139"},"PeriodicalIF":2.6,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144056610","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Finite mixture models of superspreading in epidemics. 流行病超扩散的有限混合模型。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-03-28 DOI: 10.3934/mbe.2025039

Suzanne M O'Regan, John M Drake

{"title":"Finite mixture models of superspreading in epidemics.","authors":"Suzanne M O'Regan, John M Drake","doi":"10.3934/mbe.2025039","DOIUrl":"https://doi.org/10.3934/mbe.2025039","url":null,"abstract":"Superspreading transmission is usually modeled using the negative binomial distribution, simply because its variance is larger than the mean and it can be long-tailed. However, populations are often partitioned into groups by social, behavioral, or environmental risk factors, particularly in closed settings such as workplaces or care homes. While heterogeneities in infectious histories and contact structure have been considered separately, models for superspreading events that include the joint effects of social and biological risk factors are lacking. To address this need, we developed a mechanistic finite mixture model for the number of secondary infections that unites population partitioning with individual-level heterogeneity in infectious period duration. We showed that the variance in the number of secondary infections is composed of both sources of heterogeneity: risk group structuring and infectiousness. We used the model to construct the outbreak size distribution and to derive critical thresholds for elimination resulting from control activities that differentially target the high-contact subpopulation vs. the population at large. We compared our model with the standard negative binomial distribution and showed that the tail behavior of the outbreak size distribution under a finite mixture model differs substantially. Our results indicate that even if the infectious period follows a bell-shaped distribution, heterogeneity in outbreak sizes may arise due to the influence of population risk structure.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"22 5","pages":"1081-1108"},"PeriodicalIF":2.6,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144004779","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A contiunous-time SIS criss-cross model of co-infection in a heterogeneous population. 异种人群中共感染的连续时间SIS交叉模型。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-03-21 DOI: 10.3934/mbe.2025038

Marcin Choiński

{"title":"A contiunous-time SIS criss-cross model of co-infection in a heterogeneous population.","authors":"Marcin Choiński","doi":"10.3934/mbe.2025038","DOIUrl":"https://doi.org/10.3934/mbe.2025038","url":null,"abstract":"In this paper, we introduce and analyze a contiunous-time model of co-infection dynamics in a heterogeneous population consisting of two subpopulations that differ in the risk of getting infected by individuals with two diseases. We assume that each parameter reflecting a given process for each subpopulation has different values, which makes the population completely heterogeneous. Such complexity and the population heterogeneity make our paper unique, reflecting co-infection dynamics. Moreover, we establish an epidemic spread for each disease not only in a sole subpopulation but also with criss-cross transmission, meaning between different subpopulations. The proposed system has a disease-free stationary state and two states reflecting the presence of one disease. We indicate conditions for their existence and local stability. The conditions for the local stability for states reflecting one disease have a complicated form, so we strengthened them so that they are more transparent. Investigation on the existence of a postulated endemic state corresponding to both disease's presence leads to a complex analysis, which is why we only provide an insight on this issue. Here, we also provide the basic reproduction number of our model and investigate properties of this number. The system has a universal structure; as such, it can be applied to investigate co-infection of different infectious diseases.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"22 5","pages":"1055-1080"},"PeriodicalIF":2.6,"publicationDate":"2025-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144054879","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The time-changed stochastic approach and fractionally integrated processes to model the actin-myosin interaction and dwell times. 随时间变化的随机方法和部分集成过程来模拟肌动蛋白-肌球蛋白相互作用和停留时间。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-03-17 DOI: 10.3934/mbe.2025037

Nikolai Leonenko, Enrica Pirozzi

{"title":"The time-changed stochastic approach and fractionally integrated processes to model the actin-myosin interaction and dwell times.","authors":"Nikolai Leonenko, Enrica Pirozzi","doi":"10.3934/mbe.2025037","DOIUrl":"https://doi.org/10.3934/mbe.2025037","url":null,"abstract":"We propose two stochastic models for the interaction between the myosin head and the actin filament, the physio-chemical mechanism triggering muscle contraction and that is not yet completely understood. We make use of the fractional calculus approach with the purpose of constructing non-Markov processes for models with $ memory. $ A time-changed process and a fractionally integrated process are proposed for the two models. Each of these includes memory effects in a different way. We describe such features from a theoretical point of view and with simulations of sample paths. Mean functions and covariances are provided, considering constant and time-dependent tilting forces by which effects of external loads are included. The investigation of the dwell time of such phenomenon is carried out by means of density estimations of the first exit time (FET) of the processes from a strip; this mimics the times of the Steps of the myosin head during the sliding movement outside a potential well due to the interaction with actin. For the case of time-changed diffusion process, we specify an equation for the probability density function of the FET from a strip. The schemes of two simulation algorithms are provided and performed. Some numerical and simulation results are given and discussed.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"22 4","pages":"1019-1054"},"PeriodicalIF":2.6,"publicationDate":"2025-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144010876","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

An augmented GSNMF model for complete deconvolution of bulk RNA-seq data. 一种用于大量RNA-seq数据完全反卷积的增强GSNMF模型。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-03-14 DOI: 10.3934/mbe.2025036

Shaoyu Li, Su Xu, Xue Wang, Nilüfer Ertekin-Taner, Duan Chen

{"title":"An augmented GSNMF model for complete deconvolution of bulk RNA-seq data.","authors":"Shaoyu Li, Su Xu, Xue Wang, Nilüfer Ertekin-Taner, Duan Chen","doi":"10.3934/mbe.2025036","DOIUrl":"10.3934/mbe.2025036","url":null,"abstract":"Performing complete deconvolution analysis for bulk RNA-seq data to obtain both cell type specific gene expression profiles (GEP) and relative cell abundances is a challenging task. One of the fundamental models used, the nonnegative matrix factorization (NMF), is mathematically ill-posed. Although several of complete deconvolution methods have been developed and their estimates compared to ground truth for some datasets appear promising, a comprehensive understanding of how to circumvent the ill-posedness and improve solution accuracy is still lacking. In this paper, we first investigate the necessary requirements for a given dataset to satisfy the solvability conditions in NMF theory. Even with solvability conditions, the \"unique\" solutions of NMF are still subject to a rescaling matrix. Therefore, we provide estimates of the converged local minima and the possible rescaling matrix, based on informative initial conditions. Using these strategies, we develop a new pipeline of pseudo-bulk tissue data augmented, geometric structure guided NMF model (GSNMF+). In our approach, pseudo-bulk tissue data is generated, by statistical distribution simulated pseudo cellular compositions and single-cell RNAseq (scRNAseq) data, and then mixed with original dataset. The constituent matrices of the hybrid dataset then satisfy the weak solvability conditions of NMF. Furthermore, an estimated rescaling matrix is used to adjust minimizer of the NMF, which is expected to reduce mean square root errors of solutions. Our algorithms are tested on several realistic bulk-tissue dataset and have shown significant improvements in scenarios with singular cellular compositions.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"22 4","pages":"988-1018"},"PeriodicalIF":2.6,"publicationDate":"2025-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12043048/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144058455","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Exploring brain dysfunction in IBD: A study of EEG-fMRI source imaging based on empirical mode diagram decomposition. 探讨IBD脑功能障碍：基于经验模态图分解的EEG-fMRI源成像研究。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-03-14 DOI: 10.3934/mbe.2025035

Yujie Kang, Wenjie Li, Jidong Lv, Ling Zou, Haifeng Shi, Wenjia Liu

{"title":"Exploring brain dysfunction in IBD: A study of EEG-fMRI source imaging based on empirical mode diagram decomposition.","authors":"Yujie Kang, Wenjie Li, Jidong Lv, Ling Zou, Haifeng Shi, Wenjia Liu","doi":"10.3934/mbe.2025035","DOIUrl":"https://doi.org/10.3934/mbe.2025035","url":null,"abstract":"Patients with inflammatory bowel disease (IBD) often suffer from mood disorders and cognitive decline, which has prompted research into abnormalities in emotional brain regions and their functional analysis. However, most IBD studies only focus on single-modality neuroimaging technologies. Due to a limited spatiotemporal resolution, it is unfeasible to fully explore deep brain source activities and accurately evaluate the brain functional connectivity. Therefore, we propose an electroencephalography (EEG)-functional magnetic resonance imaging (fMRI)source imaging method based on an empirical mode diagram decomposition (EMDD) and performed a synchronous EEG-fMRI source imaging analysis on 21 IBD patients and 11 healthy subjects. The high-frequency spatial components of the fMRI were extracted through EMDD as prior constraints and compared with the EEG source imaging based on the entire fMRI spatial prior. Then, the cortical source time series were reconstructed according to the Desikan-Killiany atlas for an effective connectivity analysis. The results showed that the EEG-fMRI source imaging based on EMDD had a better performance, with the average log model evidence increased by 29.60% and the average explained variance increased by 19.12%. There were significant differences in the activation intensity of a series of abnormal brain regions between IBD patients and healthy controls, some of which were newly discovered: the uncus, claustrum, lentiform nucleus, and lingual gyrus. Moreover, the findings from the effective connectivity analysis of cortical source signals revealed that IBD patients had information flow loss in the frontal lobes, central areas, left parietal lobe, and right temporal lobe, and the information flow intensity of the right lingual gyrus was enhanced.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"22 4","pages":"962-987"},"PeriodicalIF":2.6,"publicationDate":"2025-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144006043","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Influence of network structure on infectious disease control. 网络结构对传染病控制的影响。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-03-12 DOI: 10.3934/mbe.2025034

Nariyuki Nakagiri, Hiroki Yokoi, Yukio Sakisaka, Kei-Ichi Tainaka, Kazunori Sato

引用次数: 0

Behaviour quantification of public health policy adoption - the case of non-pharmaceutical measures during COVID-19. 公共卫生政策采纳的行为量化——以COVID-19期间非药物措施为例

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-03-10 DOI: 10.3934/mbe.2025033

Rhiannon Loster, Sarah Smook, Lia Humphrey, David Lyver, Zahra Mohammadi, Edward W Thommes, Monica G Cojocaru

引用次数: 0

Event-triggered impulsive control for input-to-state stability of nonlinear time-delay system with delayed impulse. 时滞非线性时滞系统输入状态稳定性的事件触发脉冲控制。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-03-07 DOI: 10.3934/mbe.2025031

Yilin Tu, Jin-E Zhang

引用次数: 0