Ring polymers are ubiquitous in various fields including biomaterials,drug release and gene therapy.All of these applications involve the dynamics and diffusion process of ring polymers in a confined environment.By us...Ring polymers are ubiquitous in various fields including biomaterials,drug release and gene therapy.All of these applications involve the dynamics and diffusion process of ring polymers in a confined environment.By using dynamic light scattering(DLS),we discovered a dynamical transition for charged ring polymers with increasing ring concentration in the gel matrix from a diffusive state to a non-diffusive topological frustrated state with a more compact conformation.When the ring polymer size is smaller than the mesh size of the gel matrix,the rings are diffusive at low concentration of 5 g/L.The ring diffusion coefficient in the gel matrix is an order of magnitude smaller than that of rings in solution,obeying the Ogston's model.At high ring concentration of 40 g/L,the collective dynamical behavior of the charged rings exhibits a topologically frustrated non-diffusive state,which may originate from the inter-ring threading with the external confinement from the gel matrix.Based on our previous theoretical work,we also conjectured that in such a non-diffusive state,the ring polymers might adopt a more compact conformation with the overall size exponentν=1/3.展开更多
We propose a method for reconstructing non-diffuse surfaces based on theπ-phase-shifted two-plus-one phase-shifting method.First,we introduce a 2fH+a+2fM+2f_(L)method for unwrapped phase extraction.Subsequently,we in...We propose a method for reconstructing non-diffuse surfaces based on theπ-phase-shifted two-plus-one phase-shifting method.First,we introduce a 2fH+a+2fM+2f_(L)method for unwrapped phase extraction.Subsequently,we introduce a new set ofπ-phase-shifted 2fH+a/2+2fM+2f_(L)fringe patterns with halved background intensity.The saturated pixels will be replaced with the unsaturated pixels in theπ-phase-shifted fringe patterns.Finally,we analyze eight fringe replacement cases and give the corresponding phase calculation,and further give the general formulas.Experiments confirm that the sum of the phase error of the proposed method is 81.4%lower than that of the traditional method,and 61.5%lower than that of the adaptive fringe projection method.展开更多
基金supported by the National Natural Science Foundation of China(No.22273114)the Strategic Priority Research Program of the Chinese Academy of Sciences(No.XDB0770101)+1 种基金the National Key R&D Program of China(No.2023YFE0124500),the National Key R&D Program of China(No.2023YFC2411203)International Partnership Program of the Chinese Academy of Sciences(No.027GJHZ2022061FN)。
文摘Ring polymers are ubiquitous in various fields including biomaterials,drug release and gene therapy.All of these applications involve the dynamics and diffusion process of ring polymers in a confined environment.By using dynamic light scattering(DLS),we discovered a dynamical transition for charged ring polymers with increasing ring concentration in the gel matrix from a diffusive state to a non-diffusive topological frustrated state with a more compact conformation.When the ring polymer size is smaller than the mesh size of the gel matrix,the rings are diffusive at low concentration of 5 g/L.The ring diffusion coefficient in the gel matrix is an order of magnitude smaller than that of rings in solution,obeying the Ogston's model.At high ring concentration of 40 g/L,the collective dynamical behavior of the charged rings exhibits a topologically frustrated non-diffusive state,which may originate from the inter-ring threading with the external confinement from the gel matrix.Based on our previous theoretical work,we also conjectured that in such a non-diffusive state,the ring polymers might adopt a more compact conformation with the overall size exponentν=1/3.
基金supported by the Natural Science Foundation of Shandong Province(Nos.ZR2021MF024 and ZR2020QF101)the National Natural Science Foundation of China(Nos.62273274 and 62001263).
文摘We propose a method for reconstructing non-diffuse surfaces based on theπ-phase-shifted two-plus-one phase-shifting method.First,we introduce a 2fH+a+2fM+2f_(L)method for unwrapped phase extraction.Subsequently,we introduce a new set ofπ-phase-shifted 2fH+a/2+2fM+2f_(L)fringe patterns with halved background intensity.The saturated pixels will be replaced with the unsaturated pixels in theπ-phase-shifted fringe patterns.Finally,we analyze eight fringe replacement cases and give the corresponding phase calculation,and further give the general formulas.Experiments confirm that the sum of the phase error of the proposed method is 81.4%lower than that of the traditional method,and 61.5%lower than that of the adaptive fringe projection method.