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Bifurcation and oscillatory dynamics of delayed CDK1-APC feedback loop 延迟CDK1-APC反馈回路的分岔和振荡动力学
IF 2.3 4区 生物学 Q2 Mathematics Pub Date : 2020-09-15 DOI: 10.1049/iet-syb.2020.0050
Shenshuang Zhou, Wei Zhang, Yuan Zhang, Xuan Ni, Zhouhong Li

Extensive experimental evidence has been demonstrated that the dynamics of CDK1-APC feedback loop play crucial roles in regulating cell cycle processes, but the dynamical mechanisms underlying the regulation of this loop are still not completely understood. Here, the authors systematically investigated the stability and bifurcation criteria for a delayed CDK1-APC feedback loop. They showed that the maximum reaction rate of CDK1 inactivation by APC can drive sustained oscillations of CDK1 activity ( ) and APC activity ( ), and the amplitude of these oscillations is increasing with the increase of the reaction rate over a wide range; a certain range of the self-activation rate for CDK1 is also significant for generating these oscillations, for too high or too low rates the oscillations cannot be generated. Moreover, they derived the sufficient conditions to determine the stability and Hopf bifurcations, and found that the sum of time delays required for activating CDK1 and APC can induce and to be oscillatory, even when the and settle in a definite stable steady state. Furthermore, they presented an explicit algorithm for the properties of periodic oscillations. Finally, numerical simulations have been presented to justify the validity of theoretical analysis.

大量的实验证据表明,CDK1-APC反馈回路的动力学在调节细胞周期过程中起着至关重要的作用,但该回路调节的动力学机制尚不完全清楚。在这里,作者系统地研究了延迟CDK1-APC反馈回路的稳定性和分岔准则。结果表明,APC灭活CDK1的最大反应速率可驱动CDK1活性()和APC活性()的持续振荡,且振荡幅度随反应速率的增加而在较宽范围内增大;CDK1一定范围的自激活率对于产生这些振荡也很重要,过高或过低的自激活率都不能产生振荡。此外,他们推导了确定稳定性和Hopf分岔的充分条件,并发现激活CDK1和APC所需的时间延迟总和可以诱导和振荡,即使它们处于确定的稳定状态。此外,他们提出了周期振荡性质的显式算法。最后,通过数值模拟验证了理论分析的有效性。
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引用次数: 0
Combinatorial dynamics of protein synthesis time delay and negative feedback loop in NF-κ B signalling pathway NF-κ B信号通路中蛋白质合成时滞和负反馈回路的组合动力学
IF 2.3 4区 生物学 Q2 Mathematics Pub Date : 2020-09-15 DOI: 10.1049/iet-syb.2020.0034
Fang Yan, Li Liu, Qingyun Wang

The transcription factor NF-κ B links immune response and inflammatory reaction and its different oscillation patterns determine different cell fates. In this study, a mathematical model with Iκ Bα protein synthesis time delay is developed based on the experimental evidences. The results show that time delay has the ability to drive oscillation of NF-κ B via Hopf bifurcation. Meanwhile, the amplitude and period are sensitive to the time delay. Moreover, the time delay threshold is a function of four parameters characterising the negative feedback loop. Likewise, the parameters also have effects on the amplitude and period of NF-κ B oscillation induced by time delay. Therefore, the oscillation patterns of NF-κ B are collaborative results of time delay coupled with the negative feedback loop. These results not only enhance the understanding of NF-κ B biological oscillation but also provide clues for the development of anti-inflammatory or anti-cancer drugs.

转录因子NF-κ B连接免疫反应和炎症反应,其不同的振荡模式决定不同的细胞命运。本研究基于实验证据,建立了Iκ Bα蛋白合成时滞的数学模型。结果表明,时间延迟能够通过Hopf分岔驱动NF-κ B振荡。同时,振幅和周期对时延敏感。此外,时间延迟阈值是表征负反馈回路的四个参数的函数。同样,这些参数也对延时引起的NF-κ B振荡的幅度和周期有影响。因此,NF-κ B的振荡模式是时间延迟与负反馈环耦合的协同结果。这些结果不仅增强了对NF-κ B生物振荡的认识,而且为抗炎或抗癌药物的开发提供了线索。
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引用次数: 1
Estimation of skin impedance models with experimental data and a proposed model for human skin impedance 用实验数据估计皮肤阻抗模型,并提出一种人体皮肤阻抗模型
IF 2.3 4区 生物学 Q2 Mathematics Pub Date : 2020-09-15 DOI: 10.1049/iet-syb.2020.0049
Dhruba Jyoti Bora, Rajdeep Dasgupta

The skin is a complex biological tissue whose impedance varies with frequency. The properties and structure of skin changes with the location on the body, age, geographical location and other factors. Considering these factors, skin impedance analysis is a sophisticated data analysis. However, despite all these variations, various researchers have always worked to develop an equivalent electrical model of the skin. The two most important categories of electrical models are RC-based model and CPE-based model which focus on the physiological stratification and biological properties of skin, respectively. In this work, experimental skin impedance data is acquired from ten sites on the body to find the fitting model. It is observed that a hybrid of fractional-order CPE-based model and higher-order RC layered-based model can provide the best fitting electrical model of skin. A new model is developed with this hybrid orders. Genetic algorithm is used for the extraction of parameter components. Least error of fitting has been observed for the proposed model as compared with the other models. This model can be used in correlating many skin problems and in the development of diagnostic tools. It will offer an additional supportive tool in-vitro to the medical specialist.

皮肤是一种复杂的生物组织,其阻抗随频率而变化。皮肤的性质和结构随着身体的位置、年龄、地理位置等因素而变化。考虑到这些因素,皮肤阻抗分析是一项复杂的数据分析。然而,尽管有这些变化,不同的研究人员一直在努力开发一个等效的皮肤电模型。两类最重要的电模型是基于rc的模型和基于cpe的模型,它们分别关注皮肤的生理分层和生物学特性。在这项工作中,我们从身体的十个部位获取皮肤阻抗的实验数据来寻找拟合模型。结果表明,分数阶cpe模型和高阶RC分层模型的混合模型可以提供最适合皮肤的电模型。利用这种混合订单开发了一种新的模型。采用遗传算法对参数分量进行提取。与其他模型相比,该模型的拟合误差最小。该模型可用于许多皮肤问题的关联和诊断工具的开发。它将为医学专家提供额外的体外辅助工具。
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引用次数: 11
Integrated expression analysis revealed RUNX2 upregulation in lung squamous cell carcinoma tissues 综合表达分析显示RUNX2在肺鳞癌组织中表达上调
IF 2.3 4区 生物学 Q2 Mathematics Pub Date : 2020-09-15 DOI: 10.1049/iet-syb.2020.0063
Da-Ping Yang, Hui-Ping Lu, Gang Chen, Jie Yang, Li Gao, Jian-Hua Song, Shang-Wei Chen, Jun-Xian Mo, Jin-Liang Kong, Zhong-Qing Tang, Chang-Bo Li, Hua-Fu Zhou, Lin-Jie Yang
This study aimed to investigate the clinicopathological significance and prospective molecular mechanism of RUNX family transcription factor 2 (RUNX2) in lung squamous cell carcinoma (LUSC). The authors used immunohistochemistry (IHC), RNA-seq, and microarray data from multi-platforms to conduct a comprehensive analysis of the clinicopathological significance and molecular mechanism of RUNX2 in the occurrence and development of LUSC. RUNX2 expression was significantly higher in 16 LUSC tissues than in paired non-cancerous tissues detected by IHC (P < 0.05). RNA-seq data from the combination of TCGA and genotype-tissue expression (GTEx) revealed significantly higher expression of RUNX2 in 502 LUSC samples than in 476 non-cancer samples. The expression of RUNX2 protein was also significantly higher in pathologic T3-T4 than in T1-T2 samples (P = 0.031). The pooled standardised mean difference (SMD) for RUNX2 was 0.87 (95% CI, 0.58-1.16), including 29 microarrays from GEO and one from ArrayExpress. The co-expression network of RUNX2 revealed complicated connections between RUNX2 and 45 co-expressed genes, which were significantly clustered in pathways including ECM-receptor interaction, focal adhesion, protein digestion and absorption, human papillomavirus infection and PI3K-Akt signalling pathway. Overexpression of RUNX2 plays an essential role in the clinical progression of LUSC.
本研究旨在探讨RUNX家族转录因子2 (RUNX2)在肺鳞癌(LUSC)中的临床病理意义及未来的分子机制。作者利用免疫组织化学(IHC)、RNA-seq、多平台微阵列数据,综合分析RUNX2在LUSC发生发展中的临床病理意义及分子机制。RUNX2在16个LUSC组织中的表达明显高于IHC检测的配对非癌组织(P < 0.05)。结合TCGA和基因型组织表达(GTEx)的RNA-seq数据显示,502例LUSC样本中RUNX2的表达明显高于476例非癌症样本。病理T3-T4组RUNX2蛋白表达也明显高于T1-T2组(P = 0.031)。RUNX2的汇总标准化平均差(SMD)为0.87 (95% CI, 0.58-1.16),包括29个来自GEO的芯片和1个来自ArrayExpress的芯片。RUNX2共表达网络揭示了RUNX2与45个共表达基因之间的复杂联系,这些基因在ecm受体相互作用、局点黏附、蛋白质消化吸收、人乳头瘤病毒感染和PI3K-Akt信号通路中显著聚集。RUNX2过表达在LUSC的临床进展中起着至关重要的作用。
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引用次数: 6
Pseudo-spectral method for controlling the drug dosage in cancer 伪光谱法控制肿瘤用药剂量
IF 2.3 4区 生物学 Q2 Mathematics Pub Date : 2020-09-15 DOI: 10.1049/iet-syb.2020.0054
Mostafa Nazari, Morteza Nazari, Mohammad Hadi Noori Skandari

A mixed chemotherapy–immunotherapy treatment protocol is developed for cancer treatment. Chemotherapy pushes the trajectory of the system towards the desired equilibrium point, and then immunotherapy alters the dynamics of the system by affecting the parameters of the system. A co-existing cancerous equilibrium point is considered as the desired equilibrium point instead of the tumour-free equilibrium. Chemotherapy protocol is derived using the pseudo-spectral (PS) controller due to its high convergence rate and simple implementation structure. Thus, one of the contributions of this study is simplifying the design procedure and reducing the controller computational load in comparison with Lyapunov-based controllers. In this method, an infinite-horizon optimal control problem is proposed for a non-linear cancer model. Then, the infinite-horizon optimal control of cancer is transformed into a non-linear programming problem. The efficient Legendre PS scheme is suggested to solve the proposed problem. Then, the dynamics of the system is modified by immunotherapy is another contribution. To restrict the upper limit of the chemo-drug dose based on the age of the patients, a Mamdani fuzzy system is designed, which is not present yet. Simulation results on four different dynamics cases how the efficiency of the proposed treatment strategy.

一种混合化疗-免疫治疗方案被开发用于癌症治疗。化疗将系统的轨迹推向所需的平衡点,然后免疫治疗通过影响系统的参数来改变系统的动力学。考虑一个共存的癌细胞平衡点作为期望的平衡点,而不是无肿瘤平衡点。基于伪谱控制器的化疗方案具有收敛速度快、实现结构简单等优点。因此,与基于lyapunov的控制器相比,本研究的贡献之一是简化了设计过程并减少了控制器的计算负荷。在此方法中,提出了一个非线性癌症模型的无限视界最优控制问题。然后,将癌症的无限视界最优控制问题转化为非线性规划问题。提出了一种高效的Legendre PS方案来解决上述问题。然后,通过免疫疗法改变系统的动力学是另一个贡献。为了根据患者的年龄限制化疗药物的剂量上限,设计了一个尚不存在的Mamdani模糊系统。仿真结果表明,在四种不同的动力学情况下,所提出的处理策略的效率如何。
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引用次数: 0
Sliding mode control for a fractional-order non-linear glucose-insulin system 分数阶非线性葡萄糖-胰岛素系统的滑模控制
IF 2.3 4区 生物学 Q2 Mathematics Pub Date : 2020-09-15 DOI: 10.1049/iet-syb.2020.0030
Muhammad Waleed Khan, Muhammad Abid, Abdul Qayyum Khan, Ghulam Mustafa, Muzamil Ali, Asifullah Khan

By providing the generalisation of integration and differentiation, and incorporating the memory and hereditary effects, fractional-order modelling has gotten significant attention in the past few years. One of the extensively studied and utilised models to describe the glucose–insulin system of a human body is Bergman's minimal model. This non-linear model comprises of integer-order differential equations. However, comparison with the experimental data shows that the fractional-order version of Bergman's minimal model is a better representative of the glucose–insulin system than its original integer-order model. To design a control law for an artificial pancreas for a diabetic patient using a fractional-order model, different techniques, including feedback linearisation, have been applied in the literature. The authors’ previous work shows that the fractional-order version of Bergman's model describes the glucose–insulin system in a better way than the integer-order model. This study applies the sliding mode control technique and then compares the obtained simulation results with the ones obtained using feedback linearisation.

分数阶模型由于具有积分和微分的通用性,并结合了记忆和遗传效应,近年来得到了广泛的关注。一个被广泛研究和使用的模型来描述人体的葡萄糖-胰岛素系统是伯格曼最小模型。该非线性模型由整阶微分方程组成。然而,与实验数据的比较表明,分数阶版本的Bergman最小模型比原来的整数阶模型更能代表葡萄糖-胰岛素系统。为了使用分数阶模型设计糖尿病患者人工胰腺的控制律,文献中应用了不同的技术,包括反馈线性化。作者先前的工作表明,伯格曼模型的分数阶版本比整数阶模型更好地描述了葡萄糖-胰岛素系统。本研究采用滑模控制技术,然后将得到的仿真结果与使用反馈线性化得到的仿真结果进行比较。
{"title":"Sliding mode control for a fractional-order non-linear glucose-insulin system","authors":"Muhammad Waleed Khan,&nbsp;Muhammad Abid,&nbsp;Abdul Qayyum Khan,&nbsp;Ghulam Mustafa,&nbsp;Muzamil Ali,&nbsp;Asifullah Khan","doi":"10.1049/iet-syb.2020.0030","DOIUrl":"10.1049/iet-syb.2020.0030","url":null,"abstract":"<div>\u0000 <p>By providing the generalisation of integration and differentiation, and incorporating the memory and hereditary effects, fractional-order modelling has gotten significant attention in the past few years. One of the extensively studied and utilised models to describe the glucose–insulin system of a human body is Bergman's minimal model. This non-linear model comprises of integer-order differential equations. However, comparison with the experimental data shows that the fractional-order version of Bergman's minimal model is a better representative of the glucose–insulin system than its original integer-order model. To design a control law for an artificial pancreas for a diabetic patient using a fractional-order model, different techniques, including feedback linearisation, have been applied in the literature. The authors’ previous work shows that the fractional-order version of Bergman's model describes the glucose–insulin system in a better way than the integer-order model. This study applies the sliding mode control technique and then compares the obtained simulation results with the ones obtained using feedback linearisation.</p>\u0000 </div>","PeriodicalId":50379,"journal":{"name":"IET Systems Biology","volume":null,"pages":null},"PeriodicalIF":2.3,"publicationDate":"2020-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8687314/pdf/SYB2-14-223.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38521218","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
Design of dual hormone blood glucose therapy and comparison with single hormone using MPC algorithm 用MPC算法设计双激素血糖治疗方案并与单激素比较
IF 2.3 4区 生物学 Q2 Mathematics Pub Date : 2020-09-15 DOI: 10.1049/iet-syb.2020.0053
Cifha Crecil Dias, Surekha Kamath, Sudha Vidyasagar

The complete automated control and delivery of insulin and glucagon in type 1 diabetes is the developing technology for artificial pancreas. This improves the quality of life of a diabetic patient with the precise infusion. The amount of infusion of these hormones is controlled using a control algorithm, which has the prediction property. The control algorithm model predictive control (MPC) predicts one step ahead and infuses the hormones continuously according to the necessity for the regulation of blood glucose. In this research, the authors propose a MPC control algorithm, which is novel for a dual hormone infusion, for a mathematical model such as Sorenson model, and compare it with the insulin alone or single hormone infusion developed with MPC. Since they aim for complete automatic control and regulation, unmeasured disturbances at a random time are integrated and the performance evaluation is projected through statistical analysis. The blood glucose risk index (BGRI) and control variability grid analysis (CVGA) plot gives the additional evaluation for the comparative results of the two controllers claiming 88% performance by dual hormone evaluated through CVGA plot and 2.05 mg/dl average tracking error, 2.20 BGRI. The MPC developed for dual hormone significantly performs better and the time spent in normal glycaemia is longer while eliminating the risk of hyperglycaemia and hypoglycaemia.

1型糖尿病患者胰岛素和胰高血糖素的完全自动化控制和输送是人工胰腺的发展方向。这提高了精确输注糖尿病患者的生活质量。这些激素的输注量是通过一种具有预测特性的控制算法来控制的。控制算法模型预测控制(MPC)提前一步预测,并根据血糖调节的需要连续注入激素。本文针对Sorenson模型等数学模型,提出了一种新颖的双激素输注的MPC控制算法,并将其与使用MPC开发的胰岛素单独输注或单激素输注进行了比较。由于它们的目标是完全自动控制和调节,因此集成了随机时间的未测量干扰,并通过统计分析预测了性能评估。血糖风险指数(BGRI)和控制变异性网格分析(CVGA)图对两种控制者的比较结果进行了额外的评价,通过CVGA图评估双激素的效果为88%,平均跟踪误差为2.05 mg/dl, 2.20 BGRI。针对双激素开发的MPC显着表现更好,正常血糖持续时间更长,同时消除了高血糖和低血糖的风险。
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引用次数: 1
Review of tools and algorithms for network motif discovery in biological networks 生物网络中网络基序发现的工具和算法综述
IF 2.3 4区 生物学 Q2 Mathematics Pub Date : 2020-08-01 DOI: 10.1049/iet-syb.2020.0004
Sabyasachi Patra, Anjali Mohapatra

Network motifs are recurrent and over-represented patterns having biological relevance. This is one of the important local properties of biological networks. Network motif discovery finds important applications in many areas such as functional analysis of biological components, the validity of network composition, classification of networks, disease discovery, identification of unique subunits etc. The discovery of network motifs is a computationally challenging task due to the large size of real networks, and the exponential increase of search space with respect to network size and motif size. This problem also includes the subgraph isomorphism check, which is Nondeterministic Polynomial (NP)-complete. Several tools and algorithms have been designed in the last few years to address this problem with encouraging results. These tools and algorithms can be classified into various categories based on exact census, mapping, pattern growth, and so on. In this study, critical aspects of network motif discovery, design principles of background algorithms, and their functionality have been reviewed with their strengths and limitations. The performances of state-of-art algorithms are discussed in terms of runtime efficiency, scalability, and space requirement. The future scope, research direction, and challenges of the existing algorithms are presented at the end of the study.

网络基序是具有生物学相关性的反复出现和过度代表的模式。这是生物网络重要的局部特性之一。网络基序发现在生物组分的功能分析、网络组成的有效性、网络分类、疾病发现、独特亚基的识别等许多领域都有重要的应用。由于真实网络的规模很大,并且搜索空间相对于网络大小和基序大小呈指数增长,网络基序的发现是一项具有计算挑战性的任务。该问题还包括子图同构检验,它是不确定多项式完全的。在过去的几年里,已经设计了一些工具和算法来解决这个问题,并取得了令人鼓舞的结果。这些工具和算法可以根据精确的普查、映射、模式增长等划分为不同的类别。在本研究中,网络基序发现的关键方面,背景算法的设计原则,以及它们的功能,它们的优势和局限性进行了回顾。从运行时效率、可伸缩性和空间需求方面讨论了最先进算法的性能。在研究的最后,提出了现有算法的未来范围、研究方向和挑战。
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引用次数: 14
Novel algebraic meal disturbance estimation based adaptive robust control design for blood glucose regulation in type 1 diabetes patients 基于代数膳食干扰估计的1型糖尿病血糖调节自适应鲁棒控制设计
IF 2.3 4区 生物学 Q2 Mathematics Pub Date : 2020-08-01 DOI: 10.1049/iet-syb.2020.0002
Nasim Ullah, Al-Sharef Muhammad

This study designs a robust closed-loop control algorithm for elevated blood glucose level stabilisation in type 1 diabetic patients. The control algorithm is based on a novel control action resulting from integrating algebraic meal disturbance estimator with back-stepping integral sliding mode control (BISMC) technique. The estimator shows finite time convergence leading to accurate and fast estimation of meal disturbance. Moreover, compensation of the estimated disturbance in controller provides significant reduction in chattering phenomenon, which is inherent drawback of sliding mode control (SMC). The controller is applied to one of the most reliable models of type 1 diabetic patients, named Bergman's minimal model. The effectiveness and superiority of the designed controller is shown by comparing it to classical SMC and super-twisting sliding mode control. The designed controller is subject to three different cases for detailed analysis of the controller's robustness against meal disturbance. The three cases considered are hyperglycaemia, hyperglycaemia combined with meal disturbance and three meal disturbance. The simulation results confirm superior performance of algebraic disturbance estimator based BISMC controller for all the cases mentioned above.

本研究设计了一种鲁棒闭环控制算法,用于稳定1型糖尿病患者的高血糖水平。该控制算法基于将代数扰动估计量与反演积分滑模控制(BISMC)技术相结合而产生的一种新的控制作用。该估计器具有有限时间收敛性,能够准确、快速地估计膳食扰动。此外,在控制器中对估计扰动进行补偿,可以显著降低滑模控制固有的抖振现象。该控制器应用于最可靠的1型糖尿病患者模型之一,称为Bergman最小模型。通过与经典的滑模控制和超扭滑模控制的比较,证明了所设计控制器的有效性和优越性。针对三种不同的情况,详细分析了所设计的控制器对膳食扰动的鲁棒性。所考虑的三种情况是高血糖、高血糖合并进餐障碍和三餐障碍。仿真结果证实了基于代数扰动估计器的BISMC控制器在上述所有情况下的优越性能。
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引用次数: 2
Efficient prediction of drug–drug interaction using deep learning models 使用深度学习模型有效预测药物-药物相互作用
IF 2.3 4区 生物学 Q2 Mathematics Pub Date : 2020-08-01 DOI: 10.1049/iet-syb.2019.0116
Prashant Kumar Shukla, Piyush Kumar Shukla, Poonam Sharma, Paresh Rawat, Jashwant Samar, Rahul Moriwal, Manjit Kaur

A drug–drug interaction or drug synergy is extensively utilised for cancer treatment. However, prediction of drug–drug interaction is defined as an ill-posed problem, because manual testing is only implementable on small group of drugs. Predicting the drug–drug interaction score has been a popular research topic recently. Recently many machine learning models have proposed in the literature to predict the drug–drug interaction score efficiently. However, these models suffer from the over-fitting issue. Therefore, these models are not so-effective for predicting the drug–drug interaction score. In this work, an integrated convolutional mixture density recurrent neural network is proposed and implemented. The proposed model integrates convolutional neural networks, recurrent neural networks and mixture density networks. Extensive comparative analysis reveals that the proposed model significantly outperforms the competitive models.

药物-药物相互作用或药物协同作用广泛用于癌症治疗。然而,药物相互作用的预测被定义为一个不适定问题,因为人工测试只能在一小部分药物上实现。药物-药物相互作用评分预测是近年来研究的热点。近年来,文献中提出了许多机器学习模型来有效地预测药物-药物相互作用评分。然而,这些模型存在过度拟合的问题。因此,这些模型对于预测药物-药物相互作用评分并不那么有效。本文提出并实现了一种集成卷积混合密度递归神经网络。该模型集成了卷积神经网络、循环神经网络和混合密度网络。广泛的比较分析表明,所提出的模型明显优于竞争模型。
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引用次数: 70
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