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On the Telegrapher’s Equation with Three Space Variables in Non-Rectangular Coordinates

Journal of Applied Mathematics and Physics 2020年第5期8卷 910-926页

作者： tristan guillaume Thema Research Unit CY Cergy Paris University Cergy France

This article provides a closed form solution to the telegrapher’s equation with three space variables defined on a subset of a sphere within two radii, two azimuthal angles and one polar angle. The Dirichlet problem for general boundary conditions is solved in detail, on the basis of which Neumann and Robin conditions are easily handled. The solution to the simpler problem in cylindrical coordinates is also provided. Ways to efficiently implement the formulae are explained. Minor adjustments result in solutions to the wave equation and to the heat equation on the same domain as well, since the latter are particular cases of the more general telegrapher’s equation.

关键词： Telegrapher’s Equation Spherical Coordinates Fourier-Bessel-Legendre Series Expansion Associated Legendre Functions Hyperbolic PDE Initial Boundary Value Problem

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A planar defect spin sensor in a two-dimensional material susceptible to strain and electric fields

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npj Computational Materials 2023年第1期9卷 775-782页

作者： Péter Udvarhelyi tristan Clua-Provost Alrik Durand Jiahan Li James H.Edgar Bernard Gil guillaume Cassabois Vincent Jacques Adam Gali Wigner Research Centre for Physics P.O.Box 49H-1525 BudapestHungary Budapest University of Technology and Economics Institute of PhysicsDepartment of Atomic PhysicsMűegyetem rakpart 3.1111 BudapestHungary Laboratoire Charles Coulomb Universitéde Montpellier and CNRS34095 MontpellierFrance Tim Taylor Department of Chemical Engineering Kansas State UniversityManhattanKS 66506USA

The boron-vacancy spin defect(V_(B)^(-))in hexagonal boron nitride(hBN)has a great potential as a quantum sensor in a two-dimensional material that can directly probe various external perturbations in atomic-scale proximity to the quantum sensing ***,we apply first-principles calculations to determine the coupling of the VB electronic spin to strain and electric *** work unravels the interplay between local piezoelectric and elastic effects contributing to the final response to the electric *** theoretical predictions are then used to analyse optically detected magnetic resonance(ODMR)spectra recorded on hBN crystals containing different densities of V_(B)^(-) *** prove that the orthorhombic zero-field splitting parameter results from local electric fields produced by surrounding charge *** work paves the way towards applications of V_(B)^(-) centres for quantitative electric field imaging and quantum sensing under pressure.

关键词： defect quantum boron

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Targeted therapy for capillary-venous malformations

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Signal Transduction and Targeted Therapy 2024年第7期9卷 3024-3039页

作者： Lola Zerbib Sophia Ladraa Antoine Fraissenon Charles Bayard Marina Firpion Quitterie Venot Sanela Protic Clément Hoguin Amandine Thomas Sylvie Fraitag Jean-Paul Duong Sophie Kaltenbach Estelle Balducci Coline Lefevre Patrick Villarese Vahid Asnafi Christine Broissand Nicolas Goudin Ivan Nemazanyy Gwennhael Autret Bertrand Tavitian Christophe Legendre Nadia Arzouk Veronique Minard-Colin Caroline Chopinet Michael Dussiot Denise MAdams tristan Mirault Laurent Guibaud Paul Isenring guillaume Canaud UniversitéParis Cité ParisFrance INSERM U1151 Institut Necker-Enfants MaladesParisFrance Service d’Imagerie Pédiatrique Hôpital Femme-Mère-EnfantHCLBronFrance CREATIS UMR 5220 Villeurbanne 69100France Service de Radiologie Mère-Enfant Hôpital NordSaint EtienneFrance Service d’Anatomie pathologique Hôpital Necker-Enfants MaladesAP-HPParisFrance Laboratoire d’Oncohématologie Hôpital Necker-Enfants MaladesAP-HPParisFrance Pharmacie Hôpital Necker-Enfants MaladesAP-HPParisFrance Necker Bio-Image Analysis INSERM US24/CNRS UMS 3633ParisFrance Platform for Metabolic Analyses Structure Fédérative de Recherche NeckerINSERM US24/CNRS UMS 3633ParisFrance Plateforme Imageries du Vivant Universitéde ParisPARCCINSERMParisFrance Service de Néphrologie Transplantation AdultesHôpital Necker-Enfants MaladesAP-HPParisFrance Service de Transplantation Hôpital La PitiéSalpétrièreAP-HPParisFrance Department of Pediatric and Adolescent Oncology INSERM 1015Gustave RoussyUniversitéParis-SaclayVillejuifFrance Service de Physiologie&Explorations Fonctionnelles Cardiovasculaires CHU de LilleLille 59000France INSERM U1163 Laboratory of Cellular and Molecular Mechanisms of Hematological Disorders and Therapeutic ImplicationsLaboratoire d’Excellence GR-ExParisFrance Division of Oncology Comprehensive Vascular Anomalies ProgramChildren’s Hospital of PhiladelphiaPhiladelphiaPAUSA Service de Médecine Vasculaire hôpital Européen Georges-PompidouParisFrance Nephrology Research Group L’Hôtel-Dieu de Québec Research CenterDepartment of MedicineFaculty of MedicineLaval UniversityQuebecQC G1R2J6Canada Unitéde médecine translationnelle et thérapies ciblées Hôpital Necker-Enfants MaladesAP-HPParisFrance CNRS UMR8253 Institut Necker-Enfants MaladesParisFrance

Sporadic venous malformations are genetic conditions primarily caused by somatic gain-of-function mutation of PIK3CA or TEK,an endothelial transmembrane receptor signaling through *** malformations are associated with pain,bleedings,thrombosis,pulmonary embolism,esthetic deformities and,in severe cases,life-threatening *** authorized medical treatment exists for patients with venous ***,we created a genetic mouse model of PIK3CA-related capillary venous malformations that replicates patient *** showed that these malformations only partially signal through AKT *** compared the efficacy of different drugs,including rapamycin,a mTORC1 inhibitor,miransertib,an AKT inhibitor and alpelisib,a PI3Kαinhibitor at improving the lesions seen in the mouse *** demonstrated the effectiveness of alpelisib in preventing vascular malformations’occurrence,improving the already established ones,and prolonging *** these findings,we were authorized to treat 25 patients with alpelisib,including 7 children displaying PIK3CA(n=16)or TEK(n=9)-related capillary venous malformations resistant to usual therapies including sirolimus,debulking surgical procedures or percutaneous *** assessed the volume of vascular malformations using magnetic resonance imaging(MRI)for each *** demonstrated improvement in all 25 *** malformations previously considered intractable were reduced and clinical symptoms were *** showed a decrease of 33.4%and 27.8%in the median volume of PIK3CA and TEK malformations respectively,over 6 months on *** conclusion,this study supports PI3Kαinhibition as a promising therapeutic strategy in patients with PIK3CA or TEK-related capillary venous malformations.

关键词： PIK3CA malformations venous

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