We present a novel optical technique for three-dimensional tracking of single fluorescent particles using a modified epifluorescence microscope containing a weak cylindrical lens in the detection optics and a microstepper-controlled fine focus. Images of small, fluorescent particles were circular in focus but ellipsoidal above and below focus; the major axis of the ellipsoid shifted by 90 degrees in going through focus. Particle z position was determined from the image shape and orientation by applying a peak detection algorithm to image projections along the x and y axes; x, y position was determined from the centroid of the particle image. Typical spatial resolution was 12 nm along the optical axis and 5 nm in the image plane with a maximum sampling rate of 3-4 Hz. The method was applied to track fluorescent particles in artificial solutions and living cells. In a solution of viscosity 30 cP, the mean squared distance (MSD) traveled by a 264 nm diameter rhodamine-labeled bead was linear with time to 20 s. The measured diffusion coefficient, 0.0558 +/- 0.001 micron2/s (SE, n = 4), agreed with the theoretical value of 0.0556 micron2/s. Statistical variability of MSD curves for a freely diffusing bead was in quantitative agreement with Monte Carlo simulations of three-dimensional random walks. In a porous glass matrix, the MSD data was curvilinear and showed reduced bead diffusion. In cytoplasm of Swiss 3T3 fibroblasts, bead diffusion was restricted. The water permeability in individual Chinese Hamster Ovary cells was measured from the z movement of a fluorescent bead fixed at the cell surface in response osmotic gradients; water permeability was increased by > threefold in cells expressing CHIP28 water channels. The simplicity and precision of this tracking method may be useful to quantify the complex trajectories of fluorescent particles in living cells.

Abstract. The purposes of this study were: (a) to measure the translational mobility of a small solute in cell cytoplasm; (b) to define quantitatively the factors that determine solute translation; and (c) to compare and contrast solute rotation and translation. A small fluorescent probe, 2,7-bis-(2-carboxyethyl)-5-(and 6-)-carboxyfluorescein (BCECF), was introduced into the cytoplasm of Swiss 3T3 fibroblasts. BCECF translation was measured by fluorescence recovery after photobleaching; rotation was measured by Fourier transform polarization microscopy. Diffusion coefficients relative to those in water (D/D0) were determined by comparing mobility in cytoplasm with mobility in standard solutions of known viscosity. At isosmotic cell volume, the relative diffusion coefficients for BCECF translation and rotation in cytoplasm were 0.27 + 0.01 (SEM, n = 24, 23~ and 0.78 + 0.03 (n = 4), respectively. As cell volume increased from 0.33 to 2 times isosmotic volume, the relative translational diffusion coefficient increased from 0.047 to 0.32, while the relative rotational diffusion coefficient remained constant. The factors determining BCECF translation were evaluated by comparing rotation and translation in cytoplasm, and in artificial solutions containing dextrans (mobile barriers) and agarose gels (immobile bartiers). It was concluded that the hindrance of BCECF translation in cytoplasm could be quantitatively attributed to three independent factors: (a) fluid-phase cytoplasmic viscosity is 28 % greater than the viscosity of water (factor 1 = 0.78); (b) 19% of BCECF is transiently bound to intracellular components of low mobility (factor 2 = 0.81); and most importantly, (c) translation of unbound BCECF is hindered 2.5-fold by collisions with cell solids comprising 13% of isosmotic cell volume (factor 3 = 0.40). The product of the 3 factors is 0.25 + 0.03, in good agreement with the measured D/D0 of 0.27 + 0.01. These results provide the first measurement of the translational mobility of a small solute in cell cytoplasm and define quantitatively the factors that slow solute translation.C ELL cytoplasm is a complex non-Newtonian fluid comprising an aqueous fluid-phase filling the space within an entangled mesh of filamentous skeletal proteins (cytomatrix) and other macromolecular structures (Bridgman and Reese, 1984;Clegg, 1984;Fulton, 1982;Gershon et al., 1985;Keith, 1973;Porter, 1984). The factors that determine the rotation and translation of solute molecules within this crowded milieu have been the topic of considerable recent interest due to their probable impact on the rates of metabolic reactions. At least three cytoplasmic factors will contribute to solute mobility: (a) fluid-phase cytoplasmic viscosity, i.e., the viscosity in the aqueous space between macromolecules; (b) solute binding to macromolecular structures; and (c) collisional (direct plus hydrodynamic) interactions between the solute and macromolecular obstacles. The relative contributions of these three factors will depend on solute size and the type...

The hypothesis was tested that accumulation of osmolytes by kidney cells grown in hyperosmolar media decreases the rotational and translational mobilities of small polar solutes in the cytosolic compartment. Rotational mobility was measured by the picosecond rotational correlation times (tau c) of 2',7'-bis(2-carboxyethyl)-5(6)carboxylfluorescein (BCECF) by multiharmonic microfluorimetry. In isolated segments of rabbit proximal tubule, thick ascending limb, and cortical collecting duct that were perfused and bathed in 300 mosM media, tau c were in the range 180-250 ps, corresponding to apparent rotational viscosities (eta r) of 1.1-1.5 cP. In cortical collecting tubule, eta r was not influenced by serosal vasopressin. In Madin-Darby canine kidney (MDCK) cells grown in 300-1,200 mosM media, eta r increased progressively by up to a factor of 1.38 +/- 0.03; measurements of tau c and macroscopic viscosity in artificial solutions containing osmolytes supported the hypothesis that the increased eta r was due to accumulation of organic osmolytes. BCECF translational mobility was measured by fluorescence photobleaching recovery using a focused 1.2-microns diameter Ar laser beam at 488 nm. Recovery half-times were 36 +/- 3 (SE) ms (n = 10) in MDCK cells grown in 300 mosM media and 62 +/- 3 ms (n = 10) when grown in 1,200 mosM media. The results suggest that accumulation of osmolytes by renal cells is associated with significantly increased cytosolic viscosity. The increased viscosity would slow enzymatic and transport processes in the cytosolic compartment.

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