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A geometric interpretation of the transition density of a symmetric Lévy process

science China Mathematics 2012年第6期55卷 1099-1126页

作者： JACOB Niels KNOPOVA Victorya landwehr sandra sCHILLING RenéL. Department of Mathematics Swansea UniversitySingleton ParkSwansea SA28PPUK V.M.Glushkov Institute of Cybernetics NAs of Ukraine 03187KievUkraine Heinrich Heine University Düsseldorf German Diabetes Center at the Heinrich Heine University DüsseldorfLeibniz Center for Diabetes ResearchInstitute of Biometrics and EpidemiologyAuf'm Hennekamp 6540225 DüsseldorfGermany Institut für Mathematische stochastik Technische Universität Dresden01062 DresdenGermany

We study for a class of symmetric Levy processes with state space R^n the transition density pt（x） in terms of two one-parameter families of metrics, （dt）t〉o and （δt）t〉o. The first family of metrics describes the diagonal term pt （0）; it is induced by the characteristic exponent ψ of the Levy process by dr（x, y） = √tψ（x - y）. The second and new family of metrics 6t relates to √tψ through the formula exp（-δ^2t（x,y））=F[e^-tψ/pt（0）]（x-y）,where Y denotes the Fourier transform. Thus we obtain the following ＂Gaussian＂ representation of the tran- sition density： pt（x） = pt（O）e^-δ^2t（x,0） where pt（O） corresponds to a volume term related to √tψ and where an ＂exponential＂ decay is governed by 5t2. This gives a complete and new geometric, intrinsic interpretation of pt（x）.

关键词： transition function estimates Levy processes metric measure spaces heat kernel bounds in-finitely divisible distributions self-reciprocal distributions

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高质量Znse单晶的研究

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人工晶体学报 1998年第3期27卷 237-241页

作者：顾庆天魏景谦吕孟凯王从先卓洪升王继扬房昌水 G.landwehr 山东大学晶体材料研究所德国维兹伯格大学物理研究所

本文报道了以Ｉ２作输运剂，用化学气相沉积法生长ＺｎＳｅ单晶的实验结果，其生长条件为升华温度８５０～９００℃，生长管内温差１５～２０℃，温度梯度小于２℃／ｃｍ，并采用了特殊形状的生长管来控制原料的输运及生长速度。经过３... 详细信息

本文报道了以Ｉ２作输运剂，用化学气相沉积法生长ＺｎＳｅ单晶的实验结果，其生长条件为升华温度８５０～９００℃，生长管内温差１５～２０℃，温度梯度小于２℃／ｃｍ，并采用了特殊形状的生长管来控制原料的输运及生长速度。经过３０天左右的生长，得到了长３０ｍｍ，直径１５ｍｍ的桔黄色ＺｎＳｅ单晶。观察了晶体的表观形态和生长习性，并用Ｘ射线衍射技术测定了晶格常数为０．５６６７６ｎｍ，双晶衍射半峰宽为１７ｓ。用光学显微镜观察了晶体缺陷，腐蚀坑密度为（４～６）×１０４／ｃｍ２。对单晶的完整性和均匀性做了测试，并对晶体中的杂质进行了分析。实验结果表明，这种生长技术可以用来生长基底质量ＺｎＳｅ单晶。

关键词：硒化锌晶体化学气相沉积单晶气相沉积

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BAG6 restricts pancreatic cancer progression by suppressing the release of IL33-presenting extracellular vesicles and the activation of mast cells

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Cellular & Molecular Immunology 2024年第8期21卷 918-931页

作者： Bilal Alashkar Alhamwe Viviane Ponath Fahd Alhamdan Bastian Dörsam Clara landwehr Manuel Linder Kim Pauck sarah Miethe Holger Garn Florian Finkernagel Anna Brichkina Matthias Lauth Dinesh Kumar Tiwari Malte Buchholz Daniel Bachurski sabrina Elmshäuser Andrea Nist Thorsten stiewe Lisa Pogge von strandmann Witold szymański Vanessa Beutgen Johannes Graumann Julia Teply-szymanski Corinna Keber Carsten Denkert Ralf Jacob Christian Preußer Elke Pogge von strandmann Institute for Tumor Immunology Philipps-University35043MarburgGermany Core Facility Extracellular Vesicles Philipps-University35043MarburgGermany Department of Anesthesiology Critical Careand Pain MedicineCardiac Anesthesia DivisionBoston Children’s HospitalBostonUSA Department of Immunology and Anaesthesia Harvard Medical SchoolBostonMAUSA Translational Inflammation Research Division&Core Facility for single Cell Multiomics Philipps-University35043MarburgGermany Core Facility Bioinformatics Philipps-University35043MarburgGermany Clinic for Gastroenterology Endocrinology and MetabolismCenter for Tumor and Immune BiologyPhilipps-University35043MarburgGermany Institute of systems Immunology Philipps-University35043MarburgGermany Cluster of Excellence on Cellular stress Responses in Aging-Associated Diseases(CECAD) University of CologneCologneGermany Institute of Molecular Oncology and Genomics Core Facility Member of the German Center for Lung Research(DZL)Philipps-University35043MarburgGermany Institute of Lung Health Justus Liebig University35392GiessenGermany Institute of Translational Proteomics&Core Facility Translational Proteomics Biochemical/Pharmacological CentrePhilipps-University35043MarburgGermany Institute of Pathology Philipps-University Marburg and University Hospital Marburg(UKGM)MarburgGermany Department of Cell Biology and Cell Pathology Philipps-University35043MarburgGermany

Recent studies reveal a critical role of tumor cell-released extracellular vesicles(EVs)in pancreatic cancer(PC)***,driver genes that direct EV function,the EV-recipient cells,and their cellular response to EV uptake remain to be ***,we studied the role of Bcl-2-associated-anthanogene 6(BAG6),a regulator of EV biogenesis for cancer *** used a Cre recombinase/LoxP-based reporter system in combination with single-cell RNA sequencing to monitor in vivo EV uptake and tumor microenvironment(TME)changes in mouse models for pancreatic ductal adenocarcinoma(PDAC)in a Bag6 pro-or deficient *** vivo data were validated using mouse and human organoids and patient *** data demonstrated that Bag6-deficient subcutaneous and orthotopic PDAC tumors accelerated tumor growth dependent on EV ***,this was attributed to mast cell(MC)activation via EV-associated *** MCs promoted tumor cell proliferation and altered the composition of the TME affecting fibroblast polarization and immune cell *** cell proliferation and fibroblast polarization were mediated via the MC secretome containing high levels of PDGF and *** with high BAG6 gene expression and high protein plasma level have a longer overall survival indicating clinical *** current study revealed a so far unknown tumor-suppressing activity of BAG6 in ***6-deficiency allowed the release of EV-associated IL33 which modulate the TME via MC activation promoting aggressive tumor *** depletion using imatinib diminished tumor growth providing a scientific rationale to consider imatinib for patients stratified with low BAG6 expression and high MC infiltration.

关键词： Pancreatic cancer EVs BAG6 Mast cells

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