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Single-particle tracking (SPT) is the observation of the motion of individual particles within a medium. The coordinates time series, which can be either in two dimensions (''x'', ''y'') or in three dimensions (''x'', ''y'', ''z''), is referred to as a ''
trajectory A trajectory or flight path is the path that an object with mass in motion follows through space as a function of time. In classical mechanics, a trajectory is defined by Hamiltonian mechanics via canonical coordinates; hence, a complete tr ...
''. The trajectory is typically analyzed using statistical methods to extract information about the underlying dynamics of the particle. These dynamics can reveal information about the type of transport being observed (e.g., thermal or active), the medium where the particle is moving, and interactions with other particles. In the case of random motion, trajectory analysis can be used to measure the
diffusion coefficient Diffusivity, mass diffusivity or diffusion coefficient is a proportionality constant between the molar flux due to molecular diffusion and the gradient in the concentration of the species (or the driving force for diffusion). Diffusivity is enc ...
.


Applications

In life sciences, single-particle tracking is broadly used to quantify the dynamics of molecules/proteins in live cells (of bacteria, yeast, mammalian cells and live ''Drosophila'' embryos). It has been extensively used to study the transcription factor dynamics in live cells. This method has been extensively used in the last decade to understand the target-search mechanism of proteins in live cells. It addresses fundamental biological questions such as how a protein of interest finds its target in the complex cellular environment? how long does it take to find its target site for binding? what is the residence time of proteins binding to DNA? Recently, SPT has been used to study the kinetics of protein translating and processing in vivo. For molecules which bind large structures such as ribosomes, SPT can be used to extract information about the binding kinetics. As ribosome binding increases the effective size of the smaller molecule, the diffusion rate decreases upon binding. By monitoring these changes in diffusion behavior, direct measurements of binding events are obtained. Furthermore, exogenous particles are employed as probes to assess the mechanical properties of the medium, a technique known as passive microrheology. This technique has been applied to investigate the motion of lipids and proteins within membranes, molecules in the nucleus and cytoplasm, organelles and molecules therein, lipid granules, vesicles, and particles introduced in the cytoplasm or the nucleus. Additionally, single-particle tracking has been extensively used in the study of reconstituted lipid bilayers, intermittent diffusion between 3D and either 2D (e.g., a membrane) or 1D (e.g., a DNA polymer) phases, and synthetic entangled actin networks.


Methods

The most common type of particles used in single particle tracking are based either on scatterers, such as polystyrene beads or gold
nanoparticle A nanoparticle or ultrafine particle is usually defined as a particle of matter that is between 1 and 100 nanometres (nm) in diameter. The term is sometimes used for larger particles, up to 500 nm, or fibers and tubes that are less than 10 ...
s that can be tracked using bright field illumination, or
fluorescent Fluorescence is the emission of light by a substance that has absorbed light or other electromagnetic radiation. It is a form of luminescence. In most cases, the emitted light has a longer wavelength, and therefore a lower photon energy, ...
particles. For fluorescent tags, there are many different options with their own advantages and disadvantages, including
quantum dot Quantum dots (QDs) are semiconductor particles a few nanometres in size, having optical and electronic properties that differ from those of larger particles as a result of quantum mechanics. They are a central topic in nanotechnology. When the ...
s, fluorescent proteins, organic
fluorophore A fluorophore (or fluorochrome, similarly to a chromophore) is a fluorescent chemical compound that can re-emit light upon light excitation. Fluorophores typically contain several combined aromatic groups, or planar or cyclic molecules with se ...
s, and cyanine dyes. On a fundamental level, once the images are obtained, single-particle tracking is a two step process. First the particles are detected and then the localized different particles are connected in order to obtain individual trajectories. Besides performing particle tracking in 2D, there are several imaging modalities for 3D particle tracking, including
multifocal plane microscopy Multifocal plane microscopy (MUM) or multiplane microscopy or multifocus microscopy is a form of light microscopy that allows the tracking of the 3D dynamics in live cells at high temporal and spatial resolution by simultaneously imaging differen ...
, double helix point spread function microscopy, and introducing astigmatism via a cylindrical lens or adaptive optics.


Brownian diffusion


See also

* Single particle trajectory *
Brownian motion Brownian motion, or pedesis (from grc, πήδησις "leaping"), is the random motion of particles suspended in a medium (a liquid or a gas). This pattern of motion typically consists of random fluctuations in a particle's position insi ...
* Nanoparticle tracking analysis * Microrheology *
Diffusion Diffusion is the net movement of anything (for example, atoms, ions, molecules, energy) generally from a region of higher concentration to a region of lower concentration. Diffusion is driven by a gradient in Gibbs free energy or chemical ...
*
Single-molecule experiment A single-molecule experiment is an experiment that investigates the properties of individual molecules. Single-molecule studies may be contrasted with measurements on an ensemble or bulk collection of molecules, where the individual behavior of m ...
*
Tethered particle motion Tethered particle motion (TPM) is a biophysical method that is used for studying various polymers such as DNA and their interaction with other entities such as proteins. The method allows observers to measure various physical properties on the sub ...


References

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External links


TrackMate

U-Track

Double helix PSF method (Andor)

Examples of simulated or experimental single-particle trajectories
Laboratory techniques