Predictive modeling of the evolutionary dynamics of cancer is a challenging issue in computational cancer biology. In this paper, we propose a general mathematical model framework for the evolutionary dynamics of canc...Predictive modeling of the evolutionary dynamics of cancer is a challenging issue in computational cancer biology. In this paper, we propose a general mathematical model framework for the evolutionary dynamics of cancer, including plasticity and heterogeneity in cancer cells. Cancer is a group of diseases involving abnormal cell growth, during which abnormal regulation of stem cell regeneration is essential for the dynamics of cancer development. In general, the dynamics of stem cell regeneration can be simplified as a G0 phase cell cycle model, which leads to a delay differentiation equation. When cell heterogeneity and plasticity are considered, we establish a differential-integral equation based on the random transition of epigenetic states of stem cells during cell division. The proposed model highlights cell heterogeneity and plasticity;connects the heterogeneity with cell-to-cell variance in cellular behaviors(for example, proliferation, apoptosis, and differentiation/senescence);and can be extended to include gene mutation-induced tumor development. Hybrid computational models are developed based on the mathematical model framework and are applied to the processes of inflammationinduced tumorigenesis and tumor relapse after chimeric antigen receptor(CAR)-T cell therapy. Finally, we propose several mathematical problems related to the proposed differential-integral equation. Solutions to these problems are crucial for understanding the evolutionary dynamics of cancer.展开更多
Finsler geometry is just Riemannian geometry without the quadratic restriction. Recent studies on Finsler geometry have taken on a new look. In this article, we will briefly discuss recent developments and some open p...Finsler geometry is just Riemannian geometry without the quadratic restriction. Recent studies on Finsler geometry have taken on a new look. In this article, we will briefly discuss recent developments and some open problems in Finsler geometry.展开更多
This paper addresses the open vehicle routing problem with time window(OVRPTW), where each vehicle does not need to return to the depot after completing the delivery task.The optimization objective is to minimize the ...This paper addresses the open vehicle routing problem with time window(OVRPTW), where each vehicle does not need to return to the depot after completing the delivery task.The optimization objective is to minimize the total distance. This problem exists widely in real-life logistics distribution process.We propose a hybrid column generation algorithm(HCGA) for the OVRPTW, embedding both exact algorithm and metaheuristic. In HCGA, a label setting algorithm and an intelligent algorithm are designed to select columns from small and large subproblems, respectively. Moreover, a branch strategy is devised to generate the final feasible solution for the OVRPTW. The computational results show that the proposed algorithm has faster speed and can obtain the approximate optimal solution of the problem with 100 customers in a reasonable time.展开更多
By dint of the stability of Cauchy-type integral with kernel density of class H＊ for an open arc, this paper discusses the stability of the solution of Riemann boundary value problem with respect to the perturbation ...By dint of the stability of Cauchy-type integral with kernel density of class H＊ for an open arc, this paper discusses the stability of the solution of Riemann boundary value problem with respect to the perturbation of boundary curve to be an open arc.展开更多
目的针对当前物流背景下普遍出现的送货公司外包、退换货频繁等问题,结合现有的碳排放政策,提出低碳背景下开放式同时送取货选址−路径模型(Low-Carbon Open Location-routing Problem with Simultaneous Pickup and Delivery Problem,LO...目的针对当前物流背景下普遍出现的送货公司外包、退换货频繁等问题,结合现有的碳排放政策,提出低碳背景下开放式同时送取货选址−路径模型(Low-Carbon Open Location-routing Problem with Simultaneous Pickup and Delivery Problem,LOLRPSPD),并通过改进野马算法进行求解。方法首先设计一种新的解码方式,使得原离散问题可以采用连续算法求解。之后,运用哈尔顿序列生成初始解,改进非线性进化概率因子,使用模拟二进制交叉,增加变异操作,以及精英保留、设置连续失败重新初始化等步骤,改进野马算法。最后,通过6组不同大小的算例将改进野马算法与原始野马算法、模拟退火算法、粒子群算法、遗传算法进行对比。结果针对中大型算例,改进野马算法远超原始野马算法。针对小型算例,在确保准确率的同时,改进野马算法对比各经典算法也在速度上具有优势。结论提出的LOLRPSD模型具备合理性,改进的野马算法针对选址路径问题具有较好的搜索能力。展开更多
目的探索态度-诊断-开放思维-制定计划-问题解决(ADOPT)护理模式对妊娠糖尿病(GDM)患者血糖控制、自我管理及心理健康状态的影响。方法选取医院2020年4月至2022年9月收治的98例GDM患者为研究对象,按照护理模式不同分为对照组和研究组,...目的探索态度-诊断-开放思维-制定计划-问题解决(ADOPT)护理模式对妊娠糖尿病(GDM)患者血糖控制、自我管理及心理健康状态的影响。方法选取医院2020年4月至2022年9月收治的98例GDM患者为研究对象,按照护理模式不同分为对照组和研究组,各49例。对照组接受常规护理模式,研究组接受ADOPT护理模式,比较两组患者血糖对照水平、自我管理能力、心理健康状态、妊娠结局。结果干预8周后,两组糖化血红蛋白(HbA1c)、空腹血糖(FPG)、餐后2 h血糖(2 h PG)水平较干预前降低,研究组低于对照组(P<0.05);问题解决、情绪处理、自我护理、集体关系评分较干预前升高,研究组高于对照组(P<0.05);抑郁、焦虑、恐怖评分较干预前降低,研究组低于对照组(P<0.05)。结论ADOPT护理模式可调节GDM患者血糖对照水平,改善心理健康状态,调节自我管理。展开更多
基金supported by National Natural Science Foundation of China (Grant Nos. 91730101 and 11831015)
文摘Predictive modeling of the evolutionary dynamics of cancer is a challenging issue in computational cancer biology. In this paper, we propose a general mathematical model framework for the evolutionary dynamics of cancer, including plasticity and heterogeneity in cancer cells. Cancer is a group of diseases involving abnormal cell growth, during which abnormal regulation of stem cell regeneration is essential for the dynamics of cancer development. In general, the dynamics of stem cell regeneration can be simplified as a G0 phase cell cycle model, which leads to a delay differentiation equation. When cell heterogeneity and plasticity are considered, we establish a differential-integral equation based on the random transition of epigenetic states of stem cells during cell division. The proposed model highlights cell heterogeneity and plasticity;connects the heterogeneity with cell-to-cell variance in cellular behaviors(for example, proliferation, apoptosis, and differentiation/senescence);and can be extended to include gene mutation-induced tumor development. Hybrid computational models are developed based on the mathematical model framework and are applied to the processes of inflammationinduced tumorigenesis and tumor relapse after chimeric antigen receptor(CAR)-T cell therapy. Finally, we propose several mathematical problems related to the proposed differential-integral equation. Solutions to these problems are crucial for understanding the evolutionary dynamics of cancer.
基金This work was supported by the National Natural Science Foundation of China (Grant No. 19871001)and the Foundation of School of Mathematical Sciences, Peking University.
文摘Finsler geometry is just Riemannian geometry without the quadratic restriction. Recent studies on Finsler geometry have taken on a new look. In this article, we will briefly discuss recent developments and some open problems in Finsler geometry.
基金supported by the National Natural Science Foundation of China (61963022,51665025,61873328)。
文摘This paper addresses the open vehicle routing problem with time window(OVRPTW), where each vehicle does not need to return to the depot after completing the delivery task.The optimization objective is to minimize the total distance. This problem exists widely in real-life logistics distribution process.We propose a hybrid column generation algorithm(HCGA) for the OVRPTW, embedding both exact algorithm and metaheuristic. In HCGA, a label setting algorithm and an intelligent algorithm are designed to select columns from small and large subproblems, respectively. Moreover, a branch strategy is devised to generate the final feasible solution for the OVRPTW. The computational results show that the proposed algorithm has faster speed and can obtain the approximate optimal solution of the problem with 100 customers in a reasonable time.
基金supported by Natural Science Foundation of China (10071016)the Natural Science Foundation of Fujian Province (2008J0187)the Science and Technology Foundation of Education Department of Fujian Province (JA08255), China
文摘By dint of the stability of Cauchy-type integral with kernel density of class H＊ for an open arc, this paper discusses the stability of the solution of Riemann boundary value problem with respect to the perturbation of boundary curve to be an open arc.
文摘目的针对当前物流背景下普遍出现的送货公司外包、退换货频繁等问题,结合现有的碳排放政策,提出低碳背景下开放式同时送取货选址−路径模型(Low-Carbon Open Location-routing Problem with Simultaneous Pickup and Delivery Problem,LOLRPSPD),并通过改进野马算法进行求解。方法首先设计一种新的解码方式,使得原离散问题可以采用连续算法求解。之后,运用哈尔顿序列生成初始解,改进非线性进化概率因子,使用模拟二进制交叉,增加变异操作,以及精英保留、设置连续失败重新初始化等步骤,改进野马算法。最后,通过6组不同大小的算例将改进野马算法与原始野马算法、模拟退火算法、粒子群算法、遗传算法进行对比。结果针对中大型算例,改进野马算法远超原始野马算法。针对小型算例,在确保准确率的同时,改进野马算法对比各经典算法也在速度上具有优势。结论提出的LOLRPSD模型具备合理性,改进的野马算法针对选址路径问题具有较好的搜索能力。
文摘目的探索态度-诊断-开放思维-制定计划-问题解决(ADOPT)护理模式对妊娠糖尿病(GDM)患者血糖控制、自我管理及心理健康状态的影响。方法选取医院2020年4月至2022年9月收治的98例GDM患者为研究对象,按照护理模式不同分为对照组和研究组,各49例。对照组接受常规护理模式,研究组接受ADOPT护理模式,比较两组患者血糖对照水平、自我管理能力、心理健康状态、妊娠结局。结果干预8周后,两组糖化血红蛋白(HbA1c)、空腹血糖(FPG)、餐后2 h血糖(2 h PG)水平较干预前降低,研究组低于对照组(P<0.05);问题解决、情绪处理、自我护理、集体关系评分较干预前升高,研究组高于对照组(P<0.05);抑郁、焦虑、恐怖评分较干预前降低,研究组低于对照组(P<0.05)。结论ADOPT护理模式可调节GDM患者血糖对照水平,改善心理健康状态,调节自我管理。
