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Analytic solutions of the interstitial fluid flow models

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Journal of Hydrodynamics 2013年第5期25卷 683-694页

作者：姚伟李亚贝陈南 Shanghai Research Center of Acupuncture Department of Mechanics and Engineering Science Fudan University school of Mathematical Sciences Fudan University

In this paper, we present the analytic solutions of several continuum porous media models that describe the interstitial fluid flow in the interosseous membrane. We first compare the results of the Brinkman, Stokes and Darcy systems in describing the isotropic interstitial fluid flows. Our calculations show that the Stokes equations can well approximate the Brinkman equations when the Darcy number Da 〉 0.2, while the Darcy model is an appropriate approximation to the Brinkman model in the interosseous membrane when Da 〈 2 × 10-4. Yet, in most cases, the anisotropy dominates the interstitial fluid. Therefore, we build an anisotropic Darcy model and show that an isotropic model can be used as a suitable approximation when the ratio between the transverse and longitudinal permeabilities is no larger than 20. Lastly, we take the blood flow in capillaries into consideration as well and introduce the coupled Stokes-Darcy system to describe the cases comprising both the capillary and the interstitial domain. Our results reveal that the profile of the interface exchange flow is not exactly in the linear form as was widely adopted in the numerical simulation, instead, the flux near the artery and the vein is more significant, which in turn results in the increase of the maximum horizontal velocity in the interstitial space while the outflow rate remains the same.

关键词： interstitial fluid flow Brinkman system Darcy system Stokes system coupled Stokes-Darcy system

CPT: a pre-trained unbalanced transformer for both Chinese language understanding and generation

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Science China(Information Sciences) 2024年第5期67卷 43-55页

作者： Yunfan SHAO Zhichao GENG Yitao LIU Junqi DAI Hang YAN Fei YANG Zhe LI Hujun BAO Xipeng QIU school of Computer Science Fudan University Shanghai Key Laboratory of Intelligent Information Processing Fudan University Zhejiang Lab

In this paper, we take the advantage of previous pre-trained models(PTMs) and propose a novel Chinese pre-trained unbalanced transformer(CPT). Different from previous Chinese PTMs, CPT is designed to utilize the shared knowledge between natural language understanding(NLU) and natural language generation(NLG) to boost the performance. CPT consists of three parts: a shared encoder, an understanding decoder, and a generation decoder. Two specific decoders with a shared encoder are pretrained with masked language modeling(MLM) and denoising auto-encoding(DAE) tasks, *** the partially shared architecture and multi-task pre-training, CPT can(1) learn specific knowledge of both NLU or NLG tasks with two decoders and(2) be fine-tuned flexibly that fully exploits the potential of the model. Moreover, the unbalanced transformer saves the computational and storage cost, which makes CPT competitive and greatly accelerates the inference of text generation. Experimental results on a wide range of Chinese NLU and NLG tasks show the effectiveness of CPT.

关键词： pre-trained model transformer language model generation unified model

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Proper Submanifolds in Product Manifolds

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Chinese Annals of Mathematics,Series B 2012年第1期33卷 1-16页

作者： Hongbing QIU Yuanlong XIN school of Mathematical Sciences Fudan UniversityShanghai 200433China school of Mathematical Sciences Fudan UniversityShanghai 200433China

The authors obtain various versions of the Omori-Yau＇s maximum principle on complete properly immersed-submanifolds with controlled mean curvature in certain product manifolds, in complete Riemannian manifolds whose k-Ricci curvature has strong quadratic decay, and also obtain a maximum principle for mean curvature flow of complete manifolds with bounded mean curvature. Using the generalized maximum principle, an estimate on the mean curvature of properly immersed submanifolds with bounded projection in N1 in the product manifold N1 x N2 is given. Other applications of the generalized maximum principle are also given.

关键词： Calabi-Chern problem Omori-Yau maximum principle Properlyimmersed submanifold Mean curvature flow Stochastic completeness

Body distribution and in situ evading of phagocytic uptake by macrophages of long-circulating poly (ethylene glycol) cyanoacrylate-co-nhexadecyl cyanoacrylate nanoparticles

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Acta Pharmacologica Sinica 2005年第12期26卷 1512-1518页

作者： Min HUANG Wei WU~2 Jun QIAN Dan-jing WAN Xiu-li WEI Jian-hua ZHU school of Pharmacy,fudan university,Shanghai 200032,China school of Pharmacy Fudan University Shanghai China

Aim:To investigate the body distribution in mice of[14C]-labeled polymethoxyethyleneglycol cyanoacrylate-co-n-hexadecyl cyanoacrylate(PEG-PHDCA)nanoparticles and in situ evading of phagocytic uptake by mouse peri-toneal ***:PEG-PHDCA copolymers were synthesized bycondensation of methoxypolyethylene glycol cyanoacetate with[14C]-hexadecyl-cyanoacetate.[14C]-nanoparticles were prepared using the nanoprecipitation/solvent diffusion method,while fluorescent nanoparticles were prepared by in-corporating rhodamine *** situ phagocytic uptake was evaluated by *** distribution in mice was evaluated by determining radioactivityin tissues using a scintillation ***:Phagocytic uptake by macroph-ages can be efficiently evaded by fluorescent PEG-PHDCA ***48 h,31% of the radioactivity of the stealth[14C]-PEG-PHDCA nanoparticles afteriv injection was still found in blood,whereas non-stealth PHDCA nanoparticleswere cleaned up from the bloodstream in a short *** distribution of stealthPEG-PHDCA nanoparticles and non-stealth PHDCA nanoparticals in mice waspoor in lung,kidney,and brain,and a little higher in *** accumula-tion was unusually high for both stealth and non-stealth nanoparticles,typical oflymphatic *** accumulation of stealth PEG-PHDCA nanoparticles in thespleen was 1.7 times as much as that of non-stealth PHDCA(P<0.01).But theaccumulation of stealth PEG-PHDCA nanoparticles in the liver was 0.8 times asmuch as that of non-stealth PHDCA(P<0.05).Conclusion:PEGylation leads tolong-circulation of nanoparticles in the bloodstream,and splenotropic accumula-tion opens up the potential for further development of spleen-targeted drug delivery.

关键词： nanotechnology tissue distribution polyethylene glycols cynoacrylates polymers spleen

Generating pairing-friendly elliptic curves with fixed embedding degrees

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Science China(Information Sciences) 2017年第11期60卷 278-280页

作者： Liang LI school of Mathematical Sciences Fudan University

Appendix A The Cocks-Pinch method The Cocks-Pinch method can construct pairing-friendly curves with arbitrary embedding degree k but usually hasρ～*** is worked via first fixing a subgroup of order r and a CM discrim... 详细信息

关键词： Ni Generating pairing-friendly elliptic curves with fixed embedding degrees ECDLP

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New Myrsinol Diterpenes from Euphorbia prolifera

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Chinese Journal of Chemistry 2004年第1期22卷 103-108页

作者：张万金陈道峰侯爱君 Department of Pharmacognosy School of PharmacyFudan University

Four new myrsinol diterpenes, euphorprolitherins AD (13, 5), were isolated from the ethanolic extract of the root of Euphorbia prolifera, along with a knownone, SPr5 (4). The structures were elucidated on the basis of their spectroscopic evidences. The structure and relative stereochemistry of 1 were confirmed by X-ray crystallog-raphy.

关键词： Euphorbia prolifera Euphorbiaceae myrsinol diterpene euphorprolitherins A—D

Reformulating natural language queries using sequence-to-sequence models

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Science China(Information Sciences) 2019年第12期62卷 254-256页

作者： Xiaoyu LIU Shunda PAN Qi ZHANG Yu-Gang JIANG Xuanjing HUANG school of Computer Science Fudan University

Dear editor,In recent years, reformulating natural language queries has attracted significant amount of attention from both industry and academia. However,there is a lexical chasm between natural language queries and ... 详细信息

关键词： Reformulating natural language queries using sequence-to-sequence models

Case-cohort Analysis with General Additive-multiplicative Hazard Models

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Acta Mathematicae Applicatae Sinica 2016年第4期32卷 851-866页

作者： Yi SUN Wen YU Ming ZHENG Department of Statistics School of ManagementFudan University

The case-cohort design is widely used in large epidemiological studms and prevention trials for cost reduction. In such a design, covariates are assembled only for a subcohort which is a random subset of the entire cohort and any additional cases outside the subcohort. In this paper, we discuss the case-cohort analysis with a class of general additive-multiplicative hazard models which includes the commonly used Cox model and additive hazard model as special cases. Two sampling schemes for the subcohort, Bernoulli sampling with arbitrary selection probabilities and stratified simple random sampling with fixed subcohort sizes, are discussed. In each setting, an estimating function is constructed to estimate the regression parameters. The resulting estimator is shown to be consistent and asymptotically normally distributed. The limiting variance-covariance matrix can be consistently estimated by the case-cohort data. A simulation study is conducted to assess the finite sample performances of the proposed method and a real example is provided.

关键词： additive-multipticative hazard case-cohort design counting process pseudo-score survival data

Electronics based on two-dimensional materials:Status and outlook

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Nano Research 2021年第6期14卷 1752-1767页

作者： Senfeng Zeng Zhaowu Tang Chunsen Liu Peng Zhou State Key Laboratory of ASIC and System School of MicroelectronicsFudan UniversityShanghai200433China school of Computer Science Fudan UniversityShanghai200433China

Since Moore’s law in the traditional semiconductor industry is facing shocks,More Moore and More than Moore are proposed as two paths to maintain the development of the semiconductor industry by adopting new architectures or new materials,in which the former is committed to the continued scaling of transistors for performance enhancement,and the latter pursues the realization of functional diversification of electronic ***-dimensional(2D)materials are supposed to play an important role in these two *** More Moore,the ultimate thin thickness and the dangling-bond-free surface of 2D channels offer excellent gate electrostatics while avoiding the degradation of carrier mobility at the same time,so that the transistors can be further scaled down for higher *** More than Moore,devices based on 2D materials can well meet the requirements of electronic systems for functional diversity,like that they can operate at high frequency,exhibit excellent sensitivity to the changes in the surroundings at room temperature,have good mechanical flexibility,and so *** this review,we present the application of 2D materials in More Moore and More than Moore domains of electronics,outlining their potential as a technological option for logic electronics,memory electronics,radio-frequency electronics,sensing electronics,and flexible electronics.

关键词： More Moore More Than Moore two-dimensional materials transition metal dichalcogenides(TMDs)