Mathematical Biosciences and Engineering最新文献_第6页

Intelligent control of self-driving vehicles based on adaptive sampling supervised actor-critic and human driving experience. 基于自适应采样监督行为批判和人类驾驶经验的自动驾驶汽车智能控制。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2024-05-24 DOI: 10.3934/mbe.2024267

Jin Zhang, Nan Ma, Zhixuan Wu, Cheng Wang, Yongqiang Yao

{"title":"Intelligent control of self-driving vehicles based on adaptive sampling supervised actor-critic and human driving experience.","authors":"Jin Zhang, Nan Ma, Zhixuan Wu, Cheng Wang, Yongqiang Yao","doi":"10.3934/mbe.2024267","DOIUrl":"https://doi.org/10.3934/mbe.2024267","url":null,"abstract":"Due to the complexity of the driving environment and the dynamics of the behavior of traffic participants, self-driving in dense traffic flow is very challenging. Traditional methods usually rely on predefined rules, which are difficult to adapt to various driving scenarios. Deep reinforcement learning (DRL) shows advantages over rule-based methods in complex self-driving environments, demonstrating the great potential of intelligent decision-making. However, one of the problems of DRL is the inefficiency of exploration; typically, it requires a lot of trial and error to learn the optimal policy, which leads to its slow learning rate and makes it difficult for the agent to learn well-performing decision-making policies in self-driving scenarios. Inspired by the outstanding performance of supervised learning in classification tasks, we propose a self-driving intelligent control method that combines human driving experience and adaptive sampling supervised actor-critic algorithm. Unlike traditional DRL, we modified the learning process of the policy network by combining supervised learning and DRL and adding human driving experience to the learning samples to better guide the self-driving vehicle to learn the optimal policy through human driving experience and real-time human guidance. In addition, in order to make the agent learn more efficiently, we introduced real-time human guidance in its learning process, and an adaptive balanced sampling method was designed for improving the sampling performance. We also designed the reward function in detail for different evaluation indexes such as traffic efficiency, which further guides the agent to learn the self-driving intelligent control policy in a better way. The experimental results show that the method is able to control vehicles in complex traffic environments for self-driving tasks and exhibits better performance than other DRL methods.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"21 5","pages":"6077-6096"},"PeriodicalIF":2.6,"publicationDate":"2024-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141318837","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

New insights into the effects of small permanent charge on ionic flows: A higher order analysis. 小永久电荷对离子流影响的新见解：高阶分析

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2024-05-24 DOI: 10.3934/mbe.2024266

Hamid Mofidi

{"title":"New insights into the effects of small permanent charge on ionic flows: A higher order analysis.","authors":"Hamid Mofidi","doi":"10.3934/mbe.2024266","DOIUrl":"https://doi.org/10.3934/mbe.2024266","url":null,"abstract":"This study investigated how permanent charges influence the dynamics of ionic channels. Using a quasi-one-dimensional classical Poisson-Nernst-Planck (PNP) model, we investigated the behavior of two distinct ion species-one positively charged and the other negatively charged. The spatial distribution of permanent charges was characterized by zero values at the channel ends and a constant charge $ Q_0 $ within the central region. By treating the classical PNP model as a boundary value problem (BVP) for a singularly perturbed system, the singular orbit of the BVP depended on $ Q_0 $ in a regular way. We therefore explored the solution space in the presence of a small permanent charge, uncovering a systematic dependence on this parameter. Our analysis employed a rigorous perturbation approach to reveal higher-order effects originating from the permanent charges. Through this investigation, we shed light on the intricate interplay among boundary conditions and permanent charges, providing insights into their impact on the behavior of ionic current, fluxes, and flux ratios. We derived the quadratic solutions in terms of permanent charge, which were notably more intricate compared to the linear solutions. Through computational tools, we investigated the impact of these quadratic solutions on fluxes, current-voltage relations, and flux ratios, conducting a thorough analysis of the results. These novel findings contributed to a deeper comprehension of ionic flow dynamics and hold potential implications for enhancing the design and optimization of ion channel-based technologies.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"21 5","pages":"6042-6076"},"PeriodicalIF":2.6,"publicationDate":"2024-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141318839","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 improved sampled-data control for a nonlinear dynamic positioning ship with Takagi-Sugeno fuzzy model. 使用 Takagi-Sugeno 模糊模型的非线性动态定位船的改进型采样数据控制。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2024-05-20 DOI: 10.3934/mbe.2024265

Minjie Zheng, Yulai Su, Guoquan Chen

引用次数: 0

Mutation prediction in the SARS-CoV-2 genome using attention-based neural machine translation. 利用基于注意力的神经机器翻译预测 SARS-CoV-2 基因组中的突变。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2024-05-20 DOI: 10.3934/mbe.2024264

Darrak Moin Quddusi, Sandesh Athni Hiremath, Naim Bajcinca

{"title":"Mutation prediction in the SARS-CoV-2 genome using attention-based neural machine translation.","authors":"Darrak Moin Quddusi, Sandesh Athni Hiremath, Naim Bajcinca","doi":"10.3934/mbe.2024264","DOIUrl":"https://doi.org/10.3934/mbe.2024264","url":null,"abstract":"Severe acute respiratory syndrome coronavirus 2 (SARS‑CoV‑2) has been evolving rapidly after causing havoc worldwide in 2020. Since then, it has been very hard to contain the virus owing to its frequently mutating nature. Changes in its genome lead to viral evolution, rendering it more resistant to existing vaccines and drugs. Predicting viral mutations beforehand will help in gearing up against more infectious and virulent versions of the virus in turn decreasing the damage caused by them. In this paper, we have proposed different NMT (neural machine translation) architectures based on RNNs (recurrent neural networks) to predict mutations in the SARS-CoV-2-selected non-structural proteins (NSP), i.e., NSP1, NSP3, NSP5, NSP8, NSP9, NSP13, and NSP15. First, we created and pre-processed the pairs of sequences from two languages using k-means clustering and nearest neighbors for training a neural translation machine. We also provided insights for training NMTs on long biological sequences. In addition, we evaluated and benchmarked our models to demonstrate their efficiency and reliability.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"21 5","pages":"5996-6018"},"PeriodicalIF":2.6,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141318838","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

Quantifying Geobacter sulfurreducens growth: A mathematical model based on acetate concentration as an oxidizing substrate. 量化硫化琥珀酸地质细菌的生长：基于醋酸盐浓度作为氧化底物的数学模型。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2024-05-17 DOI: 10.3934/mbe.2024263

Virgínia Villa-Cruz, Sumaya Jaimes-Reátegui, Juana E Alba-Cuevas, Lily Xochilt Zelaya-Molina, Rider Jaimes-Reátegui, Alexander N Pisarchik

{"title":"Quantifying Geobacter sulfurreducens growth: A mathematical model based on acetate concentration as an oxidizing substrate.","authors":"Virgínia Villa-Cruz, Sumaya Jaimes-Reátegui, Juana E Alba-Cuevas, Lily Xochilt Zelaya-Molina, Rider Jaimes-Reátegui, Alexander N Pisarchik","doi":"10.3934/mbe.2024263","DOIUrl":"https://doi.org/10.3934/mbe.2024263","url":null,"abstract":"We developed a mathematical model to simulate dynamics associated with the proliferation of Geobacter and ultimately optimize cellular operation by analyzing the interaction of its components. The model comprises two segments: an initial part comprising a logistic form and a subsequent segment that incorporates acetate oxidation as a saturation term for the microbial nutrient medium. Given that four parameters can be obtained by minimizing the square root of the mean square error between experimental Geobacter growth and the mathematical model, the model underscores the importance of incorporating nonlinear terms. The determined parameter values closely align with experimental data, providing insights into the mechanisms that govern Geobacter proliferation. Furthermore, the model has been transformed into a scaleless equation with only two parameters to simplify the exploration of qualitative properties. This allowed us to conduct stability analysis of the fixed point and construct a co-dimension two bifurcation diagram.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"21 5","pages":"5972-5995"},"PeriodicalIF":2.6,"publicationDate":"2024-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141318841","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 prostate seed implantation robot system based on human-computer interactions: Augmented reality and voice control. 基于人机交互的前列腺种子植入机器人系统：增强现实和语音控制

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2024-05-15 DOI: 10.3934/mbe.2024262

Xinran Zhang, Yongde Zhang, Jianzhi Yang, Haiyan Du

{"title":"A prostate seed implantation robot system based on human-computer interactions: Augmented reality and voice control.","authors":"Xinran Zhang, Yongde Zhang, Jianzhi Yang, Haiyan Du","doi":"10.3934/mbe.2024262","DOIUrl":"https://doi.org/10.3934/mbe.2024262","url":null,"abstract":"The technology of robot-assisted prostate seed implantation has developed rapidly. However, during the process, there are some problems to be solved, such as non-intuitive visualization effects and complicated robot control. To improve the intelligence and visualization of the operation process, a voice control technology of prostate seed implantation robot in augmented reality environment was proposed. Initially, the MRI image of the prostate was denoised and segmented. The three-dimensional model of prostate and its surrounding tissues was reconstructed by surface rendering technology. Combined with holographic application program, the augmented reality system of prostate seed implantation was built. An improved singular value decomposition three-dimensional registration algorithm based on iterative closest point was proposed, and the results of three-dimensional registration experiments verified that the algorithm could effectively improve the three-dimensional registration accuracy. A fusion algorithm based on spectral subtraction and BP neural network was proposed. The experimental results showed that the average delay of the fusion algorithm was 1.314 s, and the overall response time of the integrated system was 1.5 s. The fusion algorithm could effectively improve the reliability of the voice control system, and the integrated system could meet the responsiveness requirements of prostate seed implantation.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"21 5","pages":"5947-5971"},"PeriodicalIF":2.6,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141318834","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 role of immune cells in resistance to oncolytic viral therapy. 免疫细胞在抗溶瘤病毒疗法中的作用。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2024-05-15 DOI: 10.3934/mbe.2024261

Prathibha Ambegoda, Hsiu-Chuan Wei, Sophia R-J Jang

{"title":"The role of immune cells in resistance to oncolytic viral therapy.","authors":"Prathibha Ambegoda, Hsiu-Chuan Wei, Sophia R-J Jang","doi":"10.3934/mbe.2024261","DOIUrl":"https://doi.org/10.3934/mbe.2024261","url":null,"abstract":"Resistance to treatment poses a major challenge for cancer therapy, and oncoviral treatment encounters the issue of viral resistance as well. In this investigation, we introduce deterministic differential equation models to explore the effect of resistance on oncolytic viral therapy. Specifically, we classify tumor cells into resistant, sensitive, or infected with respect to oncolytic viruses for our analysis. Immune cells can eliminate both tumor cells and viruses. Our research shows that the introduction of immune cells into the tumor-virus interaction prevents all tumor cells from becoming resistant in the absence of conversion from resistance to sensitivity, given that the proliferation rate of immune cells exceeds their death rate. The inclusion of immune cells leads to an additional virus-free equilibrium when the immune cell recruitment rate is sufficiently high. The total tumor burden at this virus-free equilibrium is smaller than that at the virus-free and immune-free equilibrium. Therefore, immune cells are capable of reducing the tumor load under the condition of sufficient immune strength. Numerical investigations reveal that the virus transmission rate and parameters related to the immune response significantly impact treatment outcomes. However, monotherapy alone is insufficient for eradicating tumor cells, necessitating the implementation of additional therapies. Further numerical simulation shows that combination therapy with chimeric antigen receptor (CAR T-cell) therapy can enhance the success of treatment.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"21 5","pages":"5900-5946"},"PeriodicalIF":2.6,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141318842","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

Threshold dynamics of a switching diffusion SIR model with logistic growth and healthcare resources. 具有逻辑增长和医疗资源的切换扩散 SIR 模型的阈值动态。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2024-05-14 DOI: 10.3934/mbe.2024260

Shuying Wu, Sanling Yuan

引用次数: 0

AttBiLFNet: A novel hybrid network for accurate and efficient arrhythmia detection in imbalanced ECG signals. AttBiLFNet：用于在不平衡心电图信号中准确、高效地检测心律失常的新型混合网络。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2024-05-10 DOI: 10.3934/mbe.2024259

Enes Efe, Emrehan Yavsan

{"title":"AttBiLFNet: A novel hybrid network for accurate and efficient arrhythmia detection in imbalanced ECG signals.","authors":"Enes Efe, Emrehan Yavsan","doi":"10.3934/mbe.2024259","DOIUrl":"https://doi.org/10.3934/mbe.2024259","url":null,"abstract":"Within the domain of cardiovascular diseases, arrhythmia is one of the leading anomalies causing sudden deaths. These anomalies, including arrhythmia, are detectable through the electrocardiogram, a pivotal component in the analysis of heart diseases. However, conventional methods like electrocardiography encounter challenges such as subjective analysis and limited monitoring duration. In this work, a novel hybrid model, AttBiLFNet, was proposed for precise arrhythmia detection in ECG signals, including imbalanced class distributions. AttBiLFNet integrates a Bidirectional Long Short-Term Memory (BiLSTM) network with a convolutional neural network (CNN) and incorporates an attention mechanism using the focal loss function. This architecture is capable of autonomously extracting features by harnessing BiLSTM's bidirectional information flow, which proves advantageous in capturing long-range dependencies. The attention mechanism enhances the model's focus on pertinent segments of the input sequence, which is particularly beneficial in class imbalance classification scenarios where minority class samples tend to be overshadowed. The focal loss function effectively addresses the impact of class imbalance, thereby improving overall classification performance. The proposed AttBiLFNet model achieved 99.55% accuracy and 98.52% precision. Moreover, performance metrics such as MF1, K score, and sensitivity were calculated, and the model was compared with various methods in the literature. Empirical evidence showed that AttBiLFNet outperformed other methods in terms of both accuracy and computational efficiency. The introduced model serves as a reliable tool for the timely identification of arrhythmias.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"21 4","pages":"5863-5880"},"PeriodicalIF":2.6,"publicationDate":"2024-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141318764","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 lumped parameter model for evaluating coronary artery blood supply capacity. 用于评估冠状动脉供血能力的集合参数模型。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2024-05-07 DOI: 10.3934/mbe.2024258

Li Cai, Qian Zhong, Juan Xu, Yuan Huang, Hao Gao

{"title":"A lumped parameter model for evaluating coronary artery blood supply capacity.","authors":"Li Cai, Qian Zhong, Juan Xu, Yuan Huang, Hao Gao","doi":"10.3934/mbe.2024258","DOIUrl":"https://doi.org/10.3934/mbe.2024258","url":null,"abstract":"The coronary artery constitutes a vital vascular system that sustains cardiac function, with its primary role being the conveyance of indispensable nutrients to the myocardial tissue. When coronary artery disease occurs, it will affect the blood supply of the heart and induce myocardial ischemia. Therefore, it is of great significance to numerically simulate the coronary artery and evaluate its blood supply capacity. In this article, the coronary artery lumped parameter model was derived based on the relationship between circuit system parameters and cardiovascular system parameters, and the blood supply capacity of the coronary artery in healthy and stenosis states was studied. The aortic root pressure calculated by the aortic valve fluid-structure interaction (AV FSI) simulator was employed as the inlet boundary condition. To emulate the physiological phenomenon of sudden pressure drops resulting from an abrupt reduction in blood vessel radius, a head loss model was connected at the coronary artery's entrance. For each coronary artery outlet, the symmetric structured tree model was appended to simulate the terminal impedance of the missing downstream coronary arteries. The particle swarm optimization (PSO) algorithm was used to optimize the blood flow viscous resistance, blood flow inertia, and vascular compliance of the coronary artery model. In the stenosis states, the relative flow and fractional flow reserve (FFR) calculated by numerical simulation corresponded to the published literature data. It was anticipated that the proposed model can be readily adapted for clinical application, serving as a valuable reference for diagnosing and treating patients.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"21 4","pages":"5838-5862"},"PeriodicalIF":2.6,"publicationDate":"2024-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141318754","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