LetλG(z)|dz|be the hyperbolic metric on a simply connected proper domain G■C containing the origin,and let‖·‖j be the Banach norms of C^nj for j=1,2,…,k.This note is to prove that if f is a normalized biholo...LetλG(z)|dz|be the hyperbolic metric on a simply connected proper domain G■C containing the origin,and let‖·‖j be the Banach norms of C^nj for j=1,2,…,k.This note is to prove that if f is a normalized biholomorphic convex function on G,thenΦN,1/p1,…,1/pk(f)(z)=F1/p1,…,1/pk(z)=f(z1),(f'(z1))^1/p1z,…,(f'(z1))^1/pkw)is a normalized biholomorphic convex mapping on ?N={(z1,z,…,w)∈C×C^n1×…×C^nk:‖z‖^p11+…+‖w‖^pkk<1/λG(z1)},where N=1+n1+…+nk and the branch is chosen such that (f'(z1))^1/pj|z1=0=1, j=1, …, k.Applying to the Roper-Suffridge extension operator,we obtain a new convex mappings construction of an unbounded domain and a refinement of convex mappings construction on a Reinhardt domain,respectively.展开更多
Using freeform optical surfaces in lens design can lead to much higher system specifications and performance while significantly reducing volume and weight.However,because of the complexity of freeform surfaces,freefo...Using freeform optical surfaces in lens design can lead to much higher system specifications and performance while significantly reducing volume and weight.However,because of the complexity of freeform surfaces,freeform optical design using traditional methods requires extensive human effort and sufficient design experience,while other design methods have limitations in design efficiency,simplicity,and versatility.Deep learning can solve these issues by summarizing design knowledge and applying it to design tasks with different system and structure parameters.We propose a deep-learning framework for designing freeform imaging systems.We generate the data set automatically using a combined sequential and random system evolution method.We combine supervised learning and unsupervised learning to train the network so that it has good generalization ability for a wide range of system and structure parameter values.The generated network FreeformNet enables fast generation(less than 0.003 s per system)of multiple-solution systems after we input the design requirements,including the system and structure parameters.We can filter and sort solutions based on a given criterion and use them as good starting points for quick final optimization(several seconds for systems with small or moderate field-of-view in general).The proposed framework presents a revolutionary approach to the lens design of freeform or generalized imaging systems,thus significantly reducing the time and effort expended on optical design.展开更多
Neuromyelitis optica spectrum disorders are neuroinflammatory demyelinating disorders that lead to permanent visual loss and motor dysfunction.To date,no effective treatment exists as the exact causative mechanism rem...Neuromyelitis optica spectrum disorders are neuroinflammatory demyelinating disorders that lead to permanent visual loss and motor dysfunction.To date,no effective treatment exists as the exact causative mechanism remains unknown.Therefore,experimental models of neuromyelitis optica spectrum disorders are essential for exploring its pathogenesis and in screening for therapeutic targets.Since most patients with neuromyelitis optica spectrum disorders are seropositive for IgG autoantibodies against aquaporin-4,which is highly expressed on the membrane of astrocyte endfeet,most current experimental models are based on aquaporin-4-IgG that initially targets astrocytes.These experimental models have successfully simulated many pathological features of neuromyelitis optica spectrum disorders,such as aquaporin-4 loss,astrocytopathy,granulocyte and macrophage infiltration,complement activation,demyelination,and neuronal loss;however,they do not fully capture the pathological process of human neuromyelitis optica spectrum disorders.In this review,we summarize the currently known pathogenic mechanisms and the development of associated experimental models in vitro,ex vivo,and in vivo for neuromyelitis optica spectrum disorders,suggest potential pathogenic mechanisms for further investigation,and provide guidance on experimental model choices.In addition,this review summarizes the latest information on pathologies and therapies for neuromyelitis optica spectrum disorders based on experimental models of aquaporin-4-IgG-seropositive neuromyelitis optica spectrum disorders,offering further therapeutic targets and a theoretical basis for clinical trials.展开更多
基金Acknowledgments We are grateful to Dr DA Melton (Harvard University) for shar- ing his human ES cells with us. The study was supported by grants from the National High Technology Research and Development Program of China (2006CB943900), the National Natural Science Foundation of China (General Program, 30500088), the Shang- hai Jiao Tong University School of Medicine, and the Shanghai Institutes for Biological Sciences, Chinese Academy of Sciences. The study was also
supported by the Shanghai Leading Academic Deciline Project (S30201).
基金partially supported by the National Natural Science Foundation of China(11671362,11571105)Beijing Municipal Natural Science Foundation(1182008)the Scientific Research Funds of Huaqiao University
文摘LetλG(z)|dz|be the hyperbolic metric on a simply connected proper domain G■C containing the origin,and let‖·‖j be the Banach norms of C^nj for j=1,2,…,k.This note is to prove that if f is a normalized biholomorphic convex function on G,thenΦN,1/p1,…,1/pk(f)(z)=F1/p1,…,1/pk(z)=f(z1),(f'(z1))^1/p1z,…,(f'(z1))^1/pkw)is a normalized biholomorphic convex mapping on ?N={(z1,z,…,w)∈C×C^n1×…×C^nk:‖z‖^p11+…+‖w‖^pkk<1/λG(z1)},where N=1+n1+…+nk and the branch is chosen such that (f'(z1))^1/pj|z1=0=1, j=1, …, k.Applying to the Roper-Suffridge extension operator,we obtain a new convex mappings construction of an unbounded domain and a refinement of convex mappings construction on a Reinhardt domain,respectively.
基金National Key Research and Development Program of China(2022YFB3603400)National Natural Science Foundation of China(62275019,U21A20140)Young Elite Scientist Sponsorship Program by CAST(2019QNRC001)。
文摘Using freeform optical surfaces in lens design can lead to much higher system specifications and performance while significantly reducing volume and weight.However,because of the complexity of freeform surfaces,freeform optical design using traditional methods requires extensive human effort and sufficient design experience,while other design methods have limitations in design efficiency,simplicity,and versatility.Deep learning can solve these issues by summarizing design knowledge and applying it to design tasks with different system and structure parameters.We propose a deep-learning framework for designing freeform imaging systems.We generate the data set automatically using a combined sequential and random system evolution method.We combine supervised learning and unsupervised learning to train the network so that it has good generalization ability for a wide range of system and structure parameter values.The generated network FreeformNet enables fast generation(less than 0.003 s per system)of multiple-solution systems after we input the design requirements,including the system and structure parameters.We can filter and sort solutions based on a given criterion and use them as good starting points for quick final optimization(several seconds for systems with small or moderate field-of-view in general).The proposed framework presents a revolutionary approach to the lens design of freeform or generalized imaging systems,thus significantly reducing the time and effort expended on optical design.
文摘Neuromyelitis optica spectrum disorders are neuroinflammatory demyelinating disorders that lead to permanent visual loss and motor dysfunction.To date,no effective treatment exists as the exact causative mechanism remains unknown.Therefore,experimental models of neuromyelitis optica spectrum disorders are essential for exploring its pathogenesis and in screening for therapeutic targets.Since most patients with neuromyelitis optica spectrum disorders are seropositive for IgG autoantibodies against aquaporin-4,which is highly expressed on the membrane of astrocyte endfeet,most current experimental models are based on aquaporin-4-IgG that initially targets astrocytes.These experimental models have successfully simulated many pathological features of neuromyelitis optica spectrum disorders,such as aquaporin-4 loss,astrocytopathy,granulocyte and macrophage infiltration,complement activation,demyelination,and neuronal loss;however,they do not fully capture the pathological process of human neuromyelitis optica spectrum disorders.In this review,we summarize the currently known pathogenic mechanisms and the development of associated experimental models in vitro,ex vivo,and in vivo for neuromyelitis optica spectrum disorders,suggest potential pathogenic mechanisms for further investigation,and provide guidance on experimental model choices.In addition,this review summarizes the latest information on pathologies and therapies for neuromyelitis optica spectrum disorders based on experimental models of aquaporin-4-IgG-seropositive neuromyelitis optica spectrum disorders,offering further therapeutic targets and a theoretical basis for clinical trials.
基金Acknowledgements This work was supported by the National Natural Science Foundation of China (Grant Nos. 11561030, 11471111, 11261022), the Jiangxi Provincial Natural Science Foundation (Grant No. 20152ACB20002), the Natural Science Foundation of Department of Education of Jiangxi Province (Grant No. G J J12177), and the Zhejiang Provincial Natural Science Foundation (Grant No. Y6110053).