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Biomolecular condensates and disease pathogenesis

Science China(Life sciences) 2024年第9期67卷 1792-1832页

作者： Ke Ruan Ge Bai Yanshan Fang Dan Li Tingting Li Xingguo Liu Boxun Lu Qing Lu Zhou Songyang Shuguo Sun Zheng Wang Xin Zhang Wen Zhou Hong Zhang The First Affiliated Hospital&School of Life sciences Ministry of Education Key Laboratory for Membrane-less Organelles&Cellular DynamicsHefei National Research Center for Interdisciplinary Sciences at the MicroscaleCenter for Advanced Interdisciplinary Science and Biomedicine of IHMDivision of Life Sciences and MedicineUniversity of Science and Technology of ChinaHefei 230027China Nanhu Brain-computer Interface Institute Hangzhou 311100China Department of Neurology of Second Affiliated Hospital and School of Brain Science and Brain Medicine Zhejiang University School of MedicineHangzhou 310058China interdisciplinary Research Center on Biology and Chemistry Shanghai Institute of Organic ChemistryChinese Academy of SciencesShanghai 201210China University of Chinese Academy of sciences Beijing 100049China Bio-X institutes Key Laboratory for the Genetics of Developmental and Neuropsychiatric Disorders(Ministry of Education)Shanghai Jiao Tong UniversityShanghai 200030China Department of Biomedical Informatics School of Basic Medical SciencesPeking University Health Science CenterBeijing 100191China CAS key laboratory of Regenerative Biology Joint School of Life SciencesGuangzhou Institutes of Biomedicine and HealthChinese Academy of SciencesGuangzhou 510530China Joint School of Life sciences Guangzhou Medical UniversityGuangzhou 510000China Neurology Department at Huashan Hospital State Key Laboratory of Medical Neurobiology and MOE Frontiers Center for Brain ScienceInstitutes of Brain ScienceSchool of Life SciencesFudan UniversityShanghai 200433 China key laboratory for the Genetics of Developmental and Neuropsychiatric Disorders Ministry of EducationBio-X InstitutesShanghai Jiao Tong UniversityShanghai 200030China State key laboratory of Biocontrol MOE Key Laboratory of Gene Function and Regulation and Guangzhou Key Laboratory of Healthy Aging ResearchSchool of Life SciencesSun Yat-sen Memorial HospitalSun Yat-sen UniversityGuangzhou 510275China Department of Human Anatomy Hist

Biomolecular condensates or membraneless organelles(MLOs)formed by liquid-liquid phase separation(LLPS)divide intracellular spaces into discrete compartments for specific *** of LLPS or aberrant phase transition that disturbs the formation or material states of MLOs is closely correlated with neurodegeneration,tumorigenesis,and many other pathological ***,we summarize the recent progress in development of methods to monitor phase separation and we discuss the biogenesis and function of MLOs formed through phase *** then present emerging proof-of-concept examples regarding the disruption of phase separation homeostasis in a diverse array of clinical conditions including neurodegenerative disorders,hearing loss,cancers,and immunological ***,we describe the emerging discovery of chemical modulators of phase separation.

关键词： liquid-liquid phase separation biomolecular condensate membraneless organelle

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S_p-CLASS(0

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Acta Mathematica Scientia 2012年第5期32卷 1919-1928页

作者：夏锦王晓峰曹广福 College of mathematics Guangzhou University key laboratory of mathematics and interdisciplinary sciences of guangdong highter education institutes Guangzhou University

In this paper,we construct a function u in L2,1（Bn,dA）,which is unbounded on any neighborhood of each boundary point of B n,such that Toeplitz operator Tu is compact on Dirichlet space D（Bn,dA）.Furthermore,Schatten p-class（0〈p〈∞） Toeplitz operators on Dirichlet space D（Bn,dA） with unbounded symbols are also obtained.

关键词： Toeplitz operator Dirichlet space Schatten p-class operator

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Schatten p-Class Toeplitz Operators with Unbounded Symbols on Pluriharmonic Bergman Space

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Acta Mathematica Sinica,English Series 2013年第12期29卷 2355-2366页

作者： Xiao Feng WANG Jin XIA Guang Fu CAO School of mathematics and Information Science Key Laboratory of Mathematics and Interdisciplinary Sciences of GuangdongHigher Education Institutes Guangzhou University

In this paper, we construct the function u in L2（Bn, dA） which is unbounded on any neighborhood of each boundary point of Bn such that Tu is the Schatten p-class （0 〈 p 〈 ∞） operator on pluriharmonic Bergman space h2（Bn, dA） for several complex variables. In addition, we also discuss the compactness of Toeplitz operators with L1 symbols.

关键词： Toeplitz operators unbounded functions Schatten p-class operators

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Monotone Span Program vs. Linear Code

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Chinese Journal of Electronics 2016年第6期25卷 991-998页

作者： TANG Chunming CHEN Yuenai GAO Xuhong School of mathematics and Information sciences Guangzhou University key laboratory of mathematics and interdisciplinary sciences of guangdong Higher education institutes Guangzhou University Department of Mathematical sciences Clemson University

Monotone span program(MSP) and Linear code(LC) are efficient tools to construct Linear secret sharing scheme(LSSS) for a given access structure. Since the size of an MSP or the length of an LC corresponds to the communicational complexity of an LSSS, one main motivation to study MSPs or LCs is the lower bound for their sizes or lengths. Therefore, it is one of the most important open problems how to efficiently construct an MSP or LC for a given access structure Γ with the smallest sizes or shortest length. Our contributions are: We extend TANG et al.’s result, showing that, for any given access structureΓ, there exists an MSP or an LC to realize Γ if and only if a system of quadratic equations has solutions; We utilize the relationship between LCs and MSPs to obtain the greatest lower bound on the row size and the column size of MSPs realizing a given Γ, as well as an upper bound on the column size of MSPs; We give an algorithm to construct an MSP with the smallest sizes.

关键词： Cryptography Secret sharing scheme Monotone span program Linear code Size

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BLOW-UP PHENOMENA FOR A CLASS OF GENERALIZED DOUBLE DISPERSION EQUATIONS

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Acta Mathematica Scientia 2019年第2期39卷 567-579页

作者： Huafei DI Yadong SHANG School of mathematics and Information Science Guangzhou University key laboratory of mathematics and interdisciplinary sciences of guangdong Higher education institutes Guangzhou University

In this article, we study the blow-up phenomena of generalized double dispersion equations u_(tt)-u_(xx)-u_(xxt) + u_(xxxx)-u_(xxtt)= f(u_x)_*** suitable conditions on the initial data, we first establish a blow-up result for the solutions with arbitrary high initial energy, and give some upper bounds for blow-up time T~* depending on sign and size of initial energy E(0). Furthermore, a lower bound for blow-up time T~* is determined by means of a differential inequality argument when blow-up occurs.

关键词： double dispersion blow up upper bound lower bound

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TOEPLITZ OPERATORS ON HEISENBERG GROUP

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Acta Mathematica Scientia 2013年第6期33卷 1589-1597页

作者：谢佩珠曹广福 School of mathematics and Information Science Guangzhou University key laboratory of mathematics and interdisciplinary sciences of guangdong Higher education institutes Guangzhou University

Denote by Ω the Siegel domain in Cn, n 〉 1. In this paper, we study the essential spectra of Toeplitz operators defined on the Hardy space H2（а↓Ω）. In addition, the characteristic equation of analytic Toeplitz ... 详细信息

关键词： Toeplitz operator Hardy space Fredholm theory

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HOMOGENIZATION OF THE INCOMPRESSIBLE NAVIER-STOKES FLUID WITH OSCILLATION COEFFICIENT

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Acta Mathematica Scientia 2014年第1期34卷 183-193页

作者：赵红星 College of mathematics and Information Science Guangzhou University key laboratory of mathematics and interdisciplinary sciences of guangdong Higher Education Institutes Guangzhou University

We study the homogenization of the incompressible Navier-Stokes equations with periodic oscillating coefficient in a bounded non-homogeneous media. To do that, we introduce a generalized compensate compactness result and a suitable class of test function to this problem. By passing the limit, we obtain the homogenized model of this problem.

关键词： Div-curl lemma homogenization Navier-Stokes equations

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Global dynamics of a nonlocal population model with age structure in a bounded domain:A non-monotone case

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Science China mathematics 2015年第10期58卷 2145-2166页

作者： YUAN YueDing GUO ZhiMing School of mathematics and Information sciences Guangzhou University School of mathematics and Computer sciences Yichun University key laboratory of mathematics and interdisciplinary Science of guangdong Higher education institutes Guangzhou University

We study the global dynamics of a nonlocal population model with age structure in a bounded domain. We mainly concern with the case where the birth rate decreases as the mature population size become large. The analysis is rather subtle and it is inadequate to apply the powerful theory of monotone dynamical systems. By using the method of super-sub solutions, combined with the careful analysis of the kernel function in the nonlocal term, we prove nonexistence, existence and uniqueness of positive steady states of the ***, due to the mature individuals do not diffuse, the solution semiflow to the model is not compact. To overcome the difficulty of non-compactness in describing the global asymptotic stability of the unique positive steady state, we first establish an appropriate comparison principle. With the help of the comparison principle,we can employ the theory of dissipative systems to obtain the global asymptotic stability of the unique positive steady state. The main results are illustrated with the nonlocal Nicholson's blowflies equation and the nonlocal Mackey-Glass equation.

关键词： nonlocal and delay model existence and uniqueness of positive steady states global asymptotic stability bounded domain

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Wavelet Transform and Radon Transform on the Quaternion Heisenberg Group

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Acta Mathematica Sinica,English Series 2014年第4期30卷 619-636页

作者： Jian Xun HE He Ping LIU School of mathematics and Information sciences Guangzhou University key laboratory of mathematics and interdisciplinary sciences of guangdong Higher education institutes Guangzhou University LMAM School of Mathematical SciencesPeking University

Let be the quaternion Heisenberg group, and let P be the affine automorphism group of . We develop the theory of continuous wavelet transform on the quaternion Heisenberg group via the unitary representations of P on L2（）. A class of radial wavelets is constructed. The inverse wavelet transform is simplified by using radial wavelets. Then we investigate the Radon transform on . . A Semyanistyi-Lizorkin space is introduced, on which the Radon transform is a bijection. We deal with the Radon transform on both by the Euclidean Fourier transform and the group Fourier transform. These two treatments are essentially equivalent. We also give an inversion formula by using wavelets, which does not require the smoothness of functions if the wavelet is smooth. In addition, we obtain an inversion formula of the Radon transform associated with the sub-Laplacian on .

关键词： Quaternion Heisenberg group wavelet transform Radon transform inverse Radon transform

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GLOBAL CLASSICAL SOLUTIONS FOR QUANTUM KINETIC FOKKER-PLANCK EQUATIONS

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Acta Mathematica Scientia 2015年第1期35卷 140-156页

作者：罗兰张新平 School of mathematics and Information Science Guangzhou University key laboratory of mathematics and interdisciplinary sciences of guangdong Higher education institutes Guangzhou University Department of mathematics and sciences Luoyang Institute of Science and Technology

We consider a class of nonlinear kinetic Fokker-Planck equations modeling quantum particles which obey the Bose-Einstein and Fermi-Dirac statistics, respectively. We establish the existence and convergence rate to the... 详细信息

关键词： quantum Fokker-Planck equations energy method convergence rates

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