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Meshfree First-order System Least Squares

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Numerical Mathematics(Theory,Methods and Applications) 2008年第1期1卷 29-43页

作者： Hugh R.MacMillan Max D.Gunzburger John V.Burkardt Department of Mathematical Sciences Clemson university ClemsonSC 29634-0975USA. School of Computational Science florida state university TallahasseeFL 32306-4120USA. Advanced research Computing Virginia Tech university BlacksburgVA 24061-0123USA.

We prove convergence for a meshfree first-order system least squares(FOSLS) partition of unity finite element method(PUFEM).Essentially,by virtue of the partition of unity,local approximation gives rise to global approximation in H(div)∩H(curl). The FOSLS formulation yields local a posteriori error estimates to guide the judicious allotment of new degrees of freedom to enrich the initial point set in a meshfree dis- *** numerical results are provided and remaining challenges are discussed.

关键词： Meshfree methods first-order system least squares adaptive finite elements

The Ecdysone and Notch Pathways Synergistically Regulate Cut at the Dorsal-Ventral Boundary in Drosophila Wing Discs

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Journal of Genetics and Genomics 2016年第4期43卷 179-186页

作者： Dongyu Jia Jamal Bryant Allison Jevitt Gabriel Calvin Wu-Min Deng Department of Biological Science Florida State University

Metazoan development requires coordination of signaling pathways to regulate patterns of gene *** Drosophila,the wing imaginal disc provides an excellent model for the study of how signaling pathways interact to regulate pattern *** determination of the dorsal-ventral（DV） boundary of the wing disc depends on the Notch pathway,which is activated along the DV boundary and induces the expression of the homeobox transcription factor,***,we show that Broad（Br）,a zinc-finger transcription factor,is also involved in regulating Cut expression in the DV boundary ***,Br expression is not regulated by Notch signaling in wing discs,while ecdysone signaling is the upstream signal that induces Br for Cut ***,we find that the ecdysone-Br cascade upregulates cut-lacZ expression,a reporter containing a 2.7 kb cut enhancer region,implying that ecdysone signaling,similar to Notch,regulates cut at the transcriptional ***,our findings reveal that the Notch and ecdysone signaling pathways synergistically regulate Cut expression for proper DV boundary formation in the wing ***,we show br promotes Delta,a Notch ligand,near the DV boundary to suppress aberrant high Notch activity,indicating further interaction between the two pathways for DV patterning of the wing disc.

关键词： Ecdysone Notch Broad Cut Drosophila Wing disc Dorsal-ventral boundary

Applying reticular synthesis to the design of Cu-based MOFs with mechanically interlocked linkers

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Nano research 2021年第2期14卷 417-422页

作者： Alexander J.Stirk Benjamin H.Wilson Christopher A.O’Keefe Hazem Amame Kelong Zhu Robert W.Schurko Stephen J.Loeb Department of Chemistry and Biochemistry University of WindsorWindsorOntarioN9B 3B4Canada Department of Chemistry The University of JordanAmman11942Jordan School of Chemistry Sun Yat-Sen UniversityGuangzhou 510275China Department of Chemistry and Biochemistry Florida State UniversityTallahasseeFlorida 32306-4390USA

The concept of“robust dynamics”describes the incorporation of mechanically interlocked molecules(MIMs)into metal-organic framework(MOF)materials such that large amplitude motions(e.g.,rotation or translation of a macrocycle)can occur inside the free volume pore of the *** aid in the preparation of such materials,reticular synthesis was used herein to design rigid molecular building blocks with predetermined ordered structures starting from the well-known MOF *** linkers were synthesized that have a T-shape,based on a triphenylene tetra-carboxylate strut,and their incorporation into Cu(II)-based MOFs was *** single-crystal structures of three new MOFs,UWCM-12(fof),β-UWCM-13(loz),UWCM-14(lil),with naked T-shaped linkers were determined;β-UWCM-13 is the first reported example of the loz topology.A fourth MOF,UWDM-14(lil)is analogous to UWCM-14(lil)but contains a[2]rotaxane ***-temperature,^(2)H solid-state NMR was used to probe the dynamics of a 24-membered macrocycle threaded onto the MOF skeleton.

关键词： reticular chemistry metal-organic frameworks mechanically interlocked molecules rotaxane

Use of MRI, metabolomic, and genomic biomarkers to identify mechanisms of chemoresistance in glioma

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Cancer Drug Resistance 2019年第3期2卷 862-876页

作者： Cathy W.Levenson Thomas J.Morgan Jr.Pamela D.Twigg Timothy M.Logan Victor D.Schepkin Department of Biomedical Sciences Florida State University College of MedicineTallahasseeFL 32306USA Program in Neuroscience Florida State UniversityTallahasseeFL 32306USA Department of Chemistry and Biochemistry and Institute for Molecular Biophysics Florida State UniversityTallahasseeFL 32306USA Current Address:Department of Chemistry University of Alabama in HuntsvilleHuntsvilleAL 35899USA National High Magnetic Field Laboratory Florida State UniversityTallahasseeFL 32306USA.

Gliomas are the most common form of central nervous system tumor. The most prevalent form, glioblastoma multiforme, is also the most deadly with mean survival times that are less than 15 months. Therapies are severely limited by the ability of these tumors to develop resistance to both radiation and chemotherapy. Thus, new tools are needed to identify and monitor chemoresistance before and after the initiation of therapy and to maximize the initial treatment plan by identifying patterns of chemoresistance prior to the start of therapy. Here we show how magnetic resonance imaging, particularly sodium imaging, metabolomics, and genomics have all emerged as potential approaches toward the identification of biomarkers of chemoresistance. This work also illustrates how use of these tools together represents a particularly promising approach to understanding mechanisms of chemoresistance and the development individualized treatment strategies for patients.

关键词： Sodium MRI diffusion genes resistance glycolysis warburg effect

Hidden periodicity in Stripe 82 with Saraswati supercluster—a fractal analysis

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Communications in Theoretical Physics 2021年第1期73卷 71-77页

作者： Vimal Raj M S Swapna S Sankararaman Department of Optoelectronics University of KeralaTrivandrumKerala695581-India

The manuscript attempts to explore the periodicity in the distribution of galaxies in the recently reported Saraswati supercluster and the Stripe 82 region containing it as an *** report of 120 Mpc periodicity in the Abell galaxy clusters by power spectrum analysis is the motivation behind the *** power spectral analysis across the central part of the Stripe 82 region shows a periodic variation of 3.09°or 71 Mpc in fractal dimension whereas an average angular periodicity of 3.45°or 94 Mpc is observed across the Stripe 82 *** refers to the periodicity of complexity or cluster density of galaxy *** texture of the distribution pattern understood through lacunarity analysis indicates a near symmetric *** dimensions like box-counting dimension,information dimension and correlation dimension are also found through multifractal *** the information dimension tells about the distribution density of galactic points,the correlation dimension details the distribution of galaxies in the neighbourhood.

关键词： galaxy distribution fractal analysis multifractals lacunarity Saraswati supercluster Stripe 82

Dendritic cells derived from pluripotent stem cells:Potential of large scale production

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World Journal of Stem Cells 2014年第1期6卷 1-10页

作者： Yan Li Meimei Liu Shang-Tian Yang Department of Chemical and Biomedical Engineering Florida Agricultural and Mechanical University-Florida State University College of EngineeringFlorida State University William G. Lowrie Department of Chemical and Biomolecular Engineering The Ohio State University

Human pluripotent stem cells(hPSCs), including human embryonic stem cells and human induced pluripotent stem cells, are promising sources for hematopoietic cells due to their unlimited growth capacity and the pluripotency. Dendritic cells(DCs), the unique immune cells in the hematopoietic system, can be loaded with tumor specific antigen and used as vaccine for cancer immunotherapy. While autologous DCs from peripheral blood are limited in cell number, hPSC-derived DCs provide a novel alternative cell source which has the potential for large scale production. This review summarizes recent advances in differentiating hPSCs to DCs through the intermediate stage of hematopoietic stem cells. Step-wise growth factor induction has been used to derive DCs from hPSCs either in suspension cultureof embryoid bodies(EBs) or in co-culture with stromal cells. To fulfill the clinical potential of the DCs derived from hPSCs, the bioprocess needs to be scaled up to produce a large number of cells economically under tight quality control. This requires the development of novel bioreactor systems combining guided EB-based differentiation with engineered culture environment. Hence, recent progress in using bioreactors for hPSC lineage-specific differentiation is reviewed. In particular, the potential scale up strategies for the multistage DC differentiation and the effect of shear stress on hPSC differentiation in bioreactors are discussed in detail.

关键词： Pluripotent stem cells Dendritic cells Bioreactor Hematopoietic differentiation Large scale production

Determinant Solutions to a (3+1)-Dimensional Generalized KP Equation with Variable Coefficients

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Chinese Annals of Mathematics,Series B 2012年第5期33卷 641-650页

作者： Alrazi ABDELJABBAR Ahmet YILDIRIM Department of Engineering Technology and Mathematics Savannah State University Department of Mathematics and Statistics University of South Florida Department of Mathematics Ege University

1 Introduction Although partial differential equations that govern the motion of solitons are nonlinear, many of them can be put into the bilinear form. Hirota, in 1971, developed an ingenious method to obtain exact solutions to nonlinear partial differential equations in the soliton theory, such as the KdV equation, the Boussinesq equation and the KP equation （see [1-2]）.

关键词： Hirota bilinear form Wronskian solution Grammian solution

Laser Stimulated Shape Memory Polymer with Inclusion of Gold Nanorod—Effect of Aspect Ratio and Critical Role of On-resonance Irradiation

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Journal of Materials Science & Technology 2017年第8期33卷 869-873页

作者： Yanbo Yao Phong T.Hoang Tao Liu Shanghai Key Lab of Lightweight Composite Donghua University High-Performance Materials Institute Florida State University

Gold nanorods（AuNRs） are excellent photothermal agents to enable a variety of laser stimulated functional polymers. One key issue is to maximize the photothermal conversion efficiency of Au NRs. In this study, the light responsive AuNR/shape memory polymer（SMP） nanocomposites with inclusion of AuNRs of varied aspect ratios were prepared, characterized, and their laser irradiation induced bending behavior was investigated. The critical role of the on-resonance irradiation condition—a close match of the longitudinal plasmon resonance of the AuNR with the wavelength of the incident laser—has been *** allows for maximizing the photothermal conversion efficiency of AuNRs to result in the rapid and large deformation of the AuNR/SMP nanocomposites. For the Au NR/SMP nanocomposite films prepared under similar processing conditions, the close-to-resonance irradiation at a 1.27 W/cm^2 was able to induce a bending rate of 27？/s and maximum bending angle of 90.4？. In contrast, the off-resonance irradiation at a 1.89 W/cm^2 resulted in negligible response.

关键词： Shape memory effect Gold nanoparticle Laser heating

Phase modulation of bcc-structured Fe35Mn25Al15Cr10Ni15 high-entropy alloy by interstitial carbon

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Journal of Iron and Steel research International 2018年第8期25卷 877-882页

作者： Cong-hui Hu Jian-lei Zhang Yun-hu Zhang Ke Han Chun-ming Li Chang-jiang Song Qi-jie Zhai state Key Laboratory of Advanced Special Steel Shanghai Key Laboratory of Advanced Ferrometallurgy and School of Materials Science and Engineering Shanghai University Shanghai 200444 China National High Magnetic Field Laboratory Florida State University Tallahassee FL 32310 USA

High-entropy alloys （HEAs） usually contain more than five alloying elements. The ductility of a body-centered cubic （bcc）- type HEA typically is lower than that of their face-centered cubic （fcc） counterpart. And low ductility restricts engineering applications of the bcc-structured HEAs. In engineering materials, improvement in ductility usually results in deduction of mechanical strength. A method to improve both mechanical strength and ductility in a bcc-structured HEA was proposed by adding interstitial carbon. Experimental results showed that replacement of 5 at.% Cr with 5 at.% C in a bcc-structured Fe35Mn25Al15Cr10Ni15 HEA resulted in an increase in fcc phase from 0.3 to 93.7 vol.%. Strength and ductility increased at the same time. The transition of bcc-structure to fcc-structure along with a remaining small amount of bcc phase improved mechanical properties. This work indicates that interstitial carbon can be employed to modulate the fraction of constituent phases in a bcc-structured HEA to enhance engineering mechanical properties.

关键词： High-entropy alloy Interstitial carbon Constituent phase Phase modulation Mechanical property