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Double-helix point spread function (DH-PSF) microscopy can realize three-dimensional single particle tracking (3D SPT) on a nanoscale, and is widely used in life sciences and other fields. However, its imaging depth-of-field (DOF) and localization accuracy are limited, which hinders its application in thick samples in vivo. To address this issue, this paper proposes a z-splitter prism-based multifocus DH-PSF microscopy (ZPMDM) method and system to improve the DOF and localization accuracy of DH-PSF microscopy without scanning. It solves the problem of large DOF detection of 3D SPT in whole living cells. By means of systematic calibration, the average 3D localization accuracies of three channels of ZPMDM are determined to be σL(x, y, z) = (4.4 nm, 4.6 nm, 10.5 nm), σM(x, y, z) = (4.3 nm, 4.2 nm, 8.2 nm), and σR(x, y, z) = (4.8 nm, 4.4 nm, 10.3 nm). And the effective DOF of the system is extended to 6 μm. Furthermore, the ZPMDM system is used to track fluorescent microspheres in a glycerol-water mixture across a large depth-of-field range. The Brownian motion of the fluorescent microspheres in the mixture solution is also investigated. The experimental results demonstrate that the errors between the experimentally obtained diffusion coefficients and the theoretically calculated diffusion coefficients are all within 10%. The reliability of the ZPMDM system in achieving single-particle 3D tracking imaging is verified in this study. The validity of the method is further verified by preliminarily investigating the phagocytosis phenomenon of live macrophages. It is of significance for the development and application of nanoscale 3D SPT. The ZPMDM system is shown in the attached figure.
[1] Dupont A, Lamb D C 2011 Nanoscale 3 4532Google Scholar
[2] Kusumi A, Tsunoyama T A, Hirosawa K M, Kasai R S, Fujiwara T K 2014 Nat. Chem. Biol. 10 524Google Scholar
[3] Gal N, Lechtman-Goldstein D, Weihs D 2013 Rheol. Acta 52 425Google Scholar
[4] Cognet L, Leduc C, Lounis B 2014 Curr. Opin. Chem. Biol. 20 78Google Scholar
[5] Kubitscheck U, Kuckmann O, Kues T, Peters R 2000 Biophys. J. 78 2170Google Scholar
[6] Carter B C, Shubeita G T, Gross S P 2005 Phys. Biol. 2 60Google Scholar
[7] Arhel N, Genovesio A, Kim K A, Miko S, Perret E, OlivoMarin J C, Shorte S, Charneau P 2006 Nat. Methods 3 817Google Scholar
[8] Bacher C P, Reichenzeller M, Athale C, Herrmann H, Eils R 2004 BMC. Cell Biol. 5 45Google Scholar
[9] Greengard A, Schechner Y, Piestun R 2006 Opt. Lett. 31 181Google Scholar
[10] Pavani S R P, DeLuca J G, Piestun R. 2009 Opt. Express 17 19644Google Scholar
[11] Thompson M A, Lew M D, Badieirostami M 2010 Nano Lett. 10 211Google Scholar
[12] Thompson M A, Casolari J M, Badieirostami M 2010 PNAS 107 17864Google Scholar
[13] Wang D P, Agrawal A, Piestun R 2017 Appl. Phys. Lett. 110 211107Google Scholar
[14] Gahlmann A, Moerner W E 2014 Nat. Rev. Microbiol. 12 9Google Scholar
[15] Wang D P, Wu H C, Schwartz D K 2017 Phys. Rev. Lett. 119 268001Google Scholar
[16] Wu H C, Sarfati R, Wang D P 2020 J. Am. Chem. Soc. 142 4696Google Scholar
[17] Lasker K, von Diezmann L, Zhou X 2020 Nat. Microbiol. 5 418Google Scholar
[18] Rocha J M, Gahlmann A 2019 Jove-J. Vis. Exp. 151 59387Google Scholar
[19] Li H, Chen D N, Xu G X, Yu B, Niu H B 2015 Opt. Express 23 787Google Scholar
[20] Li H F, Wang F M, Wei T D, Miao X, Cheng Y, Pang X P, Jiang K M, Huang W, Zhang Y H 2021 Opt. Lett. 46 5088Google Scholar
[21] Xiao S, Gritton H, Tseng H A, Zemel D, Han X, Mertz J 2020 Optica 7 1477Google Scholar
[22] 霍英东, 曹博, 于斌, 陈丹妮, 牛憨笨 2015 物理学报 64 028701Google Scholar
Huo Y D, Cao B, Yu B, Chen D N, Niu H B 2015 Acta Phys. Sin. 64 028701Google Scholar
[23] 林丹樱, 龚振权, 黄黎琳, 聂梦娇, 于斌, 屈军乐 2024 物理学报 73 068701Google Scholar
Lin D Y, Gong Z Q, Huang L, Nie M J, Yu B, Qu J L 2024 Acta Phys. Sin. 73 068701Google Scholar
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图 1 ZPMDM系统光路示意图. Laser1—Laser2, 激光器; ND, 中性密度衰减片; L1—L6, 透镜; M, 反射镜; TL1—TL3, 管镜; DM1, DM2, 二向色镜; OL, 物镜; BS, 分束棱镜; QD, 四象限探测器; DH-PM, 双螺旋相位模板; z-splitter prism, 轴向分光棱镜; sCMOS, 科研级互补金属氧化物半导体相机
Figure 1. Schematic diagram of the ZPMDM system. Laser1–Laser2, lasers; ND, neutral density attenuator; L1–L6, lens; M, mirror; TL1–TL3, tube lens; DM1, DM2, dichroic mirrors; OL, objective lens; BS, beam splitter; QD, four-quadrant detector; DH-PM, double-helix phase mask; z-splitter prism, axial beam splitter prism; sCMOS, scientific complementary metal oxide semiconductor camera.
图 2 三通道荧光微球图像配准 (a) 左通道与中间通道荧光微球图像叠加的伪彩图; (b)配准后的左通道与中间通道荧光微球图像叠加的伪彩图; (c) 右通道与中间通道荧光微球图像叠加的伪彩图; (d)配准后的右通道与中间通道荧光微球图像叠加的伪彩图; 伪彩色: 紫色代表中间通道荧光微球图像, 绿色代表左(右)通道荧光微球图像, 两者准确重合时荧光微球图像为灰白色
Figure 2. Three-channel fluorescent microsphere image registration: (a) Pseudo-color image superimposed with fluorescent microsphere images in the left channel and middle channels; (b) pseudo-color image superimposed with fluorescent microsphere images of the left and middle channels after registration; (c) pseudo-color image superimposed with fluorescent microsphere images in the right middle channels; (d) pseudo-color image superimposed with fluorescent microsphere images of the right channel and middle channels after registration; pseudo-color: purple represents fluorescent microsphere image in the middle channel, green represents fluorescent microsphere image in the left (right) channel, and the fluorescent microsphere image is greyish-white when the two accurately overlap.
图 3 左、中、右三通道的标定 (a) 3个通道的标定曲线; (b) 同一深度下左、中、右3个通道对应的双螺旋成像结果; (c) 左、中、右3个通道的三维定位精度
Figure 3. Calibration of the left, middle and right channels: (a) Calibration curves for the three channels; (b) the corresponding double-helix imaging results of the left, middle and right channels at the same depth; (c) 3D localization accuracy of the left, middle and right channels.
图 4 20%浓度甘油水溶液中的荧光微球的三维追踪 (a) 200 nm荧光微球在20%甘油水溶液中扩散时的动态变化图像; (b) 对图(a)红框中的荧光微球的运动轨迹进行图像重构所得到的三维追踪轨迹; (c)—(e) 图(b)中荧光微球的运动轨迹分别投射在xy面、yz面、xz面的投影
Figure 4. 3D tracking of fluorescent beads in a 20% glycerol aqueous solution: (a) Image of the dynamics of a 200 nm fluorescent bead during diffusion in a 20% glycerol aqueous solution; (b) 3D tracking trajectory obtained by image reconstruction of the motion trajectory of the fluorescent microspheres in the red box in panel (a); (c)–(e) projections of the trajectories of the fluorescent microspheres in panel (b) onto the xy, yz and xz planes.
图 5 (a) 200 nm荧光微球在20%及60%浓度甘油水溶液中扩散时的均方位移曲线; (b) 20%及60%浓度下甘油水溶液的黏度随温度变化曲线图
Figure 5. (a) Mean square displacement curves for the diffusion of 200 nm fluorescent beads in aqueous glycerol solutions at 20% and 60% concentrations; (b) viscosity versus temperature plots for aqueous glycerol solutions at 20% and 60% concentrations.
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[1] Dupont A, Lamb D C 2011 Nanoscale 3 4532Google Scholar
[2] Kusumi A, Tsunoyama T A, Hirosawa K M, Kasai R S, Fujiwara T K 2014 Nat. Chem. Biol. 10 524Google Scholar
[3] Gal N, Lechtman-Goldstein D, Weihs D 2013 Rheol. Acta 52 425Google Scholar
[4] Cognet L, Leduc C, Lounis B 2014 Curr. Opin. Chem. Biol. 20 78Google Scholar
[5] Kubitscheck U, Kuckmann O, Kues T, Peters R 2000 Biophys. J. 78 2170Google Scholar
[6] Carter B C, Shubeita G T, Gross S P 2005 Phys. Biol. 2 60Google Scholar
[7] Arhel N, Genovesio A, Kim K A, Miko S, Perret E, OlivoMarin J C, Shorte S, Charneau P 2006 Nat. Methods 3 817Google Scholar
[8] Bacher C P, Reichenzeller M, Athale C, Herrmann H, Eils R 2004 BMC. Cell Biol. 5 45Google Scholar
[9] Greengard A, Schechner Y, Piestun R 2006 Opt. Lett. 31 181Google Scholar
[10] Pavani S R P, DeLuca J G, Piestun R. 2009 Opt. Express 17 19644Google Scholar
[11] Thompson M A, Lew M D, Badieirostami M 2010 Nano Lett. 10 211Google Scholar
[12] Thompson M A, Casolari J M, Badieirostami M 2010 PNAS 107 17864Google Scholar
[13] Wang D P, Agrawal A, Piestun R 2017 Appl. Phys. Lett. 110 211107Google Scholar
[14] Gahlmann A, Moerner W E 2014 Nat. Rev. Microbiol. 12 9Google Scholar
[15] Wang D P, Wu H C, Schwartz D K 2017 Phys. Rev. Lett. 119 268001Google Scholar
[16] Wu H C, Sarfati R, Wang D P 2020 J. Am. Chem. Soc. 142 4696Google Scholar
[17] Lasker K, von Diezmann L, Zhou X 2020 Nat. Microbiol. 5 418Google Scholar
[18] Rocha J M, Gahlmann A 2019 Jove-J. Vis. Exp. 151 59387Google Scholar
[19] Li H, Chen D N, Xu G X, Yu B, Niu H B 2015 Opt. Express 23 787Google Scholar
[20] Li H F, Wang F M, Wei T D, Miao X, Cheng Y, Pang X P, Jiang K M, Huang W, Zhang Y H 2021 Opt. Lett. 46 5088Google Scholar
[21] Xiao S, Gritton H, Tseng H A, Zemel D, Han X, Mertz J 2020 Optica 7 1477Google Scholar
[22] 霍英东, 曹博, 于斌, 陈丹妮, 牛憨笨 2015 物理学报 64 028701Google Scholar
Huo Y D, Cao B, Yu B, Chen D N, Niu H B 2015 Acta Phys. Sin. 64 028701Google Scholar
[23] 林丹樱, 龚振权, 黄黎琳, 聂梦娇, 于斌, 屈军乐 2024 物理学报 73 068701Google Scholar
Lin D Y, Gong Z Q, Huang L, Nie M J, Yu B, Qu J L 2024 Acta Phys. Sin. 73 068701Google Scholar
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