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高等数学研究 2024年第5期27卷 41-43页

作者：刘芝秀邓梓杨吕凤姣南昌工程学院理学院工程数学与先进计算重点实验豫章师范学院数学与计算机学院黄河科技学院工学部

文中利用行列式作工具泰勒公式的余项有多种形式，它们在不同的应用中各有所长.本文汇总了泰勒公式常见的4种余项，并论述了它们之间的关系与特点，同时给出了余项的几个新的变式，以供教学参考.

关键词：泰勒公式余项中值定理 G导数

A MODEL FOR THE RELEASE BEHAVIOR OF DRUGS FROM HYDROGEL NANOPARTICLE

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Chinese Journal of Reactive Polymers 2006年第2期15卷 115-120页

作者： XU Xiaoping LI Zhongqin CHEN Xiaogeng lv fengjiao Department of Chemical Engineering Fuzhou University Fuzhou 350002 China The Key Laboratory of Industry Biotechnology Southern Yangtze University Wuxi 214036 China

A model to correlate and predict the release behavior of drugs from hydrogel nanoparticles is presented in this paper. The nanoparticle is considered as a combination of a shell of an elastic semipermeable membrane and a core of a fluid phase （After swelling equilibrium）. The fluid core consists of network building materials and other components that are able to partition in hydrogel nanoparticle phase and surrounding coexisting liquid phase, and is enveloped by the membrane shell. The excess Gibbs energies of the hydrogel nanoparticle phase and the surrounding coexisting fluid phase are expressed e.g. using UNIQUAC equation with ＂free-volume＂ contribution for non-ionic solution and VERS-model for ionic one. The elastic properties of polymer network could be described, for example, by the ＂phanWm network＂ theory.

关键词： Hydrogel nanoparticle Model Drug release

PREPARATION AND CHARACTERIZATION OF DOXORUBICIN-LOADED MAGNETIC ANTICANCER NANOPARTICLES

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Chinese Journal of Reactive Polymers 2007年第1期16卷 96-100页

作者： lv fengjiao LIN Huaxiang CHEN Xiaogeng XU Xiaoping School of Chemistry and life sciences Quanzhou Normal University Quanzhou362000 China School of Chemistry and Chemical Engineering Fuzhou University Fuzhou 350002 China Fujian Provincial Hospital Fuzhou 350000 China

Doxorubicin（ADM）-loaded magnetic anticancer nanoparticles, using Fe3O4 as core, doxorubicin as model drug and polyvinylpyrrolidone （PVP） as matrix, were prepared by inverse emulsion polymerization. The experimental results showed that the average diameter of Fe3O4 particles was 19.8nm. The X-ray diffraction itzdicated that the prepared Fe3O4 particle was pure cubic Fe3O4, The results obtained by SEM showed the magnetic nanoparticles under optimal operating condition had a smooth spherical surface, LLS showed an average size of 78. 7nm. And IR results demonstrated that they consisted of ADM, PVP and Fe3O4.

关键词： Magnetic nanoparticles Polyvinylpyrrolidone Inverse emulsion polymerization.

THE PREPARATION OF DOXORUBICIN-POLYVINYLPYRROLIDONE-NANOPARTICLES BY INVERSE EMULSION POLYMERIZATION

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Chinese Journal of Reactive Polymers 2006年第1期15卷 76-80页

作者： lv fengjiao LIN Huaxiang XU Xiaoping CHEN Xiaogeng School of Chemistry and Chemical Engineering Fuzhou University Fuzhou 350002 China Fujian Provincial Hospital Fuzhou 350000 China

Doxorubicin-loaded nanoparticles, using doxorubicin （ADM） as model drug and vinylpyrrolidone as matrix, were prepared by inverse emulsion polymerization in the paper. The nanoparticles were characterized by telescope electron microscopy （TEM）, laser light scattering technique （LLS） and infrared spectrum （IR）. LLS test showed that the optimal prepared ADM-loaded nanoparticles had an average size 18.8nm and a narrow size distribution between 15nm and 32nm, which was consistent with the result obtained by TEM. And 1R results indicated that the nanoparticles consisted of ADM and polyvinylpyrrolidone （PVP）.

关键词： Nanoparticles Polyvinylpyrrolidone Inverse emulsion polymerization

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聚乙烯吡咯烷酮-阿霉素纳米颗粒的制备研究

离子交换与吸附 2011年第2期27卷 145-151页

作者：吕凤娇吴洪许小平泉州师范学院分子生物与药物化学福建省高校重点实验室福州大学化学化工学院

研究聚乙烯吡咯烷酮-阿霉素纳米颗粒(PVP-ADM-NP)的制备优化工艺。以聚乙烯吡咯烷酮为载体材料,以阿霉素为模型药物,采用溶剂去除法制备PVP-ADM-NP,对其制备工艺进行优化,并采用扫描电镜及激光粒度仪分别考察优化条件下纳米颗粒的形态... 详细信息

研究聚乙烯吡咯烷酮-阿霉素纳米颗粒(PVP-ADM-NP)的制备优化工艺。以聚乙烯吡咯烷酮为载体材料,以阿霉素为模型药物,采用溶剂去除法制备PVP-ADM-NP,对其制备工艺进行优化,并采用扫描电镜及激光粒度仪分别考察优化条件下纳米颗粒的形态、粒径分布。结果表明,激光粒度仪显示优化工艺条件下,纳米颗粒粒径在38～75nm,平均粒径54.4nm;PVP-ADM-NP在扫描电镜下呈现良好的圆整度,分布均匀同激光粒度仪结果相吻合。

关键词：聚乙烯吡咯烷酮阿霉素纳米颗粒粒径

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阿霉素纳米粒体外释放模型的拟合研究

计算机与应用化学 2010年第7期27卷 915-918页

作者：吕凤娇许小平泉州师范学院分子生物与药物化学福建省高校重点实验室福建泉州362000 福州大学化学化工学院福建福州350002

目的研究阿霉素溶液和阿霉素纳米粒体外释放行为的不同。方法:采用零级动力学方程、一级动力学方程、Higuchi方程和双相动力学方程拟合药物在体外的释放行为,根据拟合优度来判定曲线拟合情况,探讨方程所反应的释放机理。结果:阿霉素溶... 详细信息

目的研究阿霉素溶液和阿霉素纳米粒体外释放行为的不同。方法:采用零级动力学方程、一级动力学方程、Higuchi方程和双相动力学方程拟合药物在体外的释放行为,根据拟合优度来判定曲线拟合情况,探讨方程所反应的释放机理。结果:阿霉素溶液在生理盐水中的体外释药用零级动力学方程、Higuchi方程和双相动力学方程拟合,拟合优度均不很好,而一级动力学方程则比较好。阿霉素溶液在体外的释放较快;阿霉素纳米粒在生理盐水中的释药情况用零级动力学方程、一级动力学方程和Higuchi方程描述时,拟合优度均不很好,而双相动力学方程则较好。阿霉素纳米粒在体外的释放较为缓慢。结论:阿霉素溶液体外释放速度较快,符合一级动力学方程;阿霉素纳米粒在体外的释放符合双相动力学方程。纳米粒在释药前由于纳米粒表面吸附有阿霉素,所以释药快,后来因为载体材料的溶解逐渐将阿霉素释放出来,这种释药规律符合抗癌药物的用药原则。

关键词：纳米粒体外释放模型拟合

A fast forward computational method for nuclear measurement using volumetric detection constraints

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Nuclear Science and Techniques 2024年第2期35卷 47-63页

作者： Qiong Zhang Lin-lv Lin University of Electronic Science and Technology of China Chengdu 610000China

Owing to the complex lithology of unconventional reservoirs,field interpreters usually need to provide a basis for interpretation using logging simulation *** the various detection tools that use nuclear sources,the detector response can reflect various types of information of the *** Monte Carlo method is one of the primary methods used to obtain nuclear detection responses in complex ***,this requires a computational process with extensive random sampling,consumes considerable resources,and does not provide real-time response ***,a novel fast forward computational method(FFCM)for nuclear measurement that uses volumetric detection constraints to rapidly calculate the detector response in various complex environments is ***,the data library required for the FFCM is built by collecting the detection volume,detector counts,and flux sensitivity functions through a Monte Carlo ***,based on perturbation theory and the Rytov approximation,a model for the detector response is derived using the flux sensitivity function method and a one-group diffusion *** environmental perturbation is constrained to optimize the model according to the tool structure and the impact of the formation and borehole within the effective detection ***,the method is applied to a neutron porosity tool for *** various complex simulation environments,the maximum relative error between the calculated porosity results of Monte Carlo and FFCM was 6.80%,with a rootmean-square error of 0.62 *** field well applications,the formation porosity model obtained using FFCM was in good agreement with the model obtained by interpreters,which demonstrates the validity and accuracy of the proposed method.

关键词： Nuclear measurement Fast forward computation Volumetric constraints

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创新创业教育背景下高等数学教育模式的探讨

河南教育学院学报（自然科学版） 2017年第3期26卷 58-61页

作者：吕凤姣黄河科技学院信息工程学院河南郑州450063

针对在创新创业教育背景下的高等数学教学方法所存在的问题进行探究,提出高等数学创新创业教育的新模式——问题牵引式教学法.以方向导数与梯度的概念为例,以问题牵引式教学思想为指导进行教学过程设计,更好地把高等数学的教学与实现优... 详细信息

针对在创新创业教育背景下的高等数学教学方法所存在的问题进行探究,提出高等数学创新创业教育的新模式——问题牵引式教学法.以方向导数与梯度的概念为例,以问题牵引式教学思想为指导进行教学过程设计,更好地把高等数学的教学与实现优质人才培养目标统一起来.

关键词：创新创业教育高等数学问题牵引式教学法方向导数梯度

Toward Trustworthy Decision-Making for Autonomous Vehicles:A Robust Reinforcement Learning Approach with Safety Guarantees

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Engineering 2024年第2期33卷 77-89页

作者： Xiangkun He Wenhui Huang Chen lv School of Mechanical and Aerospace Engineering Nanyang Technological UniversitySingapore 639798Singapore

While autonomous vehicles are vital components of intelligent transportation systems,ensuring the trustworthiness of decision-making remains a substantial challenge in realizing autonomous ***,we present a novel robust reinforcement learning approach with safety guarantees to attain trustworthy decision-making for autonomous *** proposed technique ensures decision trustworthiness in terms of policy robustness and collision ***,an adversary model is learned online to simulate the worst-case uncertainty by approximating the optimal adversarial perturbations on the observed states and environmental *** addition,an adversarial robust actor-critic algorithm is developed to enable the agent to learn robust policies against perturbations in observations and ***,we devise a safety mask to guarantee the collision safety of the autonomous driving agent during both the training and testing processes using an interpretable knowledge model known as the Responsibility-Sensitive Safety ***,the proposed approach is evaluated through both simulations and *** results indicate that the autonomous driving agent can make trustworthy decisions and drastically reduce the number of collisions through robust safety policies.

关键词： Autonomous vehicle Decision-making Reinforcement learning Adversarial attack Safety guarantee

Control of chiral-optical activities by magnetic field based on the transformation of achiral binary crystals into chiral ternary crystals

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Science China Chemistry 2024年第7期67卷 2300-2305页

作者： Zhiyan Chen Yan lv Wei Qin College of Physics Qingdao UniversityQingdao 266071China School of Physics State Key Laboratory of Crystal MaterialsShandong UniversityJinan 250100China Shandong Linuo Photovoltaic Hi-Tech Co. Ltd.Jinan 250100China

Multicomponent self-assembled chiral systems have attracted great attention due to their promising application in the area of spin-photonics and *** this work,through introducing an achiral third component into an achiral binary crystal,a chiral organic ternary crystal is fabricated,where both pronounced chiral-optical coupling and magnetic field dependence of chiral-optical activities are *** transformation of achiral structure into chiral structure generates a significant effect on the polarized state of light and the electron spin resonance ***,the coupling between circularly polarized photon and spin is observed in chiral ternary crystal with pronounced chiral orbit,where obvious magnetic field-transmissivity loop is ***,temperature could increase the magnitude of lattice parameters to lead to a larger helix radius to increase the chiral orbit ***,this work indicates that the further exploration of photon-chiral orbit-spin interactions in organic chiral ternary crystals is promising.

关键词： organic chiral ternary crystals chiral orbit chiral-optical activities magnetic field