# Photoactivated localization microscopy

Photo-activated localization microscopy (PALM or fPALM)[1][2] and stochastic optical reconstruction microscopy (STORM)[3] are widefield (as opposed to point scanning techniques such as laser scanning confocal microscopy) fluorescence microscopy imaging methods that allow obtaining images with a resolution beyond the diffraction limit. The methods were proposed in 2006 in the wake of a general emergence of optical super-resolution microscopy methods, and were featured as Methods of the Year for 2008 by the Nature Methods journal.[4] The development of PALM as a targeted biophysical imaging method was largely prompted by the discovery of new species and the engineering of mutants of fluorescent proteins displaying a controllable photochromism, such as Photo-activatable GFP. However, the concomitant development of STORM, sharing the same fundamental principle, originally made use of paired cyanine dyes. One molecule of the pair (called activator), when excited near its absorption maximum, serves to reactivate the other molecule (called reporter) to the fluorescent state.

A growing number of dyes are used for PALM, STORM and related techniques, both organic fluorophores and fluorescent proteins. Some are compatible with live cell imaging, others allow faster acquisition or denser labeling. The choice of a particular fluorophore ultimately depends on the application and on its underlying photophysical properties.[5]

Both techniques have undergone significant technical developments,[6] in particular allowing multicolor imaging and the extension to three dimensions, with the best current axial resolution of 10nm in the third dimension obtained using an interferometric approach with two opposing objectives collecting the fluorescence from the sample.[7]

## Principle

Conventional fluorescence microscopy is performed by selectively staining the sample with fluorescent molecules, either linked to antibodies as in immunohistochemistry or using fluorescent proteins genetically fused to the genes of interest. Typically, the more concentrated the fluorophores, the better the contrast of the fluorescence image.

A single fluorophore can be visualized under a microscope (or even under the naked eye [8]) if the number of photons emitted is sufficiently high, and in contrast the background is low enough. The two dimensional image of a point source observed under a microscope is an extended spot, corresponding to the Airy disk (a section of the Point Spread Function) of the imaging system. The ability to identify as two individual entities two closely spaced fluorophores is limited by the diffraction of light. This is quantified by Abbe’s criterion, stating that the minimal distance that allows resolving two point sources is given by

where ${\displaystyle \lambda }$ is the wavelength of the fluorescent emission and NA is the numerical aperture of the microscope. The theoretical resolution limit at the shortest practical excitation wavelength is around 150 nm in the lateral dimension and approaching 400 nm in the axial dimension (if using an objective having a numerical aperture of 1.40 and the excitation wavelength is 400 nm).

However, if the emission from the two neighboring fluorescent molecules is made distinguishable, i.e. the photons coming from each of the two can be identified, then it is possible to overcome the diffraction limit.[9] Once a set of photons from a specific molecule is collected, it forms a diffraction limited spot in the image plane of the microscope. The center of this spot can be found by fitting the observed emission profile to a known geometrical function, typically a Gaussian function in two dimensions. The error that is made in localizing the center of a point emitter scales to a first approximation as the inverse square root of the number of emitted photons, and if enough photons are collected it is easy to obtain a localization error much smaller than the original point spread function.

Multiple closely spaced emitters are indistinguishable. The position of a point source can be recovered only if the photons it emitted have been identified from those arising from the neighboring molecules

The two steps of identification and localization of individual fluorescent molecules in a dense environment where many are present are at the basis of PALM, STORM and their development.

Although many approaches to molecular identification exist, the light induced photochromism of selected fluorophores developed as the most promising approach to distinguish neighboring molecules by separating their fluorescent emission in time. By turning on stochastically sparse subsets of fluorophores with light of a specific wavelength, individual molecules can then be excited and imaged according to their spectra. To avoid the accumulation of active fluorophores in the sample, which would eventually degrade back to a diffraction limited image, the spontaneously occurring phenomenon of photobleaching is exploited in PALM, whereas reversible switching between a fluorescent on-state and a dark off-state of a dye is exploited in STORM.

Photoactivation, localization and bleaching

In summary, PALM and STORM are based on collecting under a fluorescent microscope a large number of images each containing just a few active isolated fluorophores. The imaging sequence allows for the many emission cycles necessary to stochastically activate each fluorophore from a non-emissive (or less emissive) state to a bright state, and back to a non-emissive or bleached state. During each cycle, the density of activated molecules is kept low enough that the molecular images of individual fluorophores do not typically overlap.

Single CCD frame displaying individual fluorescent proteins excited in Total Internal Reflection
Sequence of frames containing single molecule images

### Localization of individual fluorophores

In each image of the sequence, the position of a fluorophore is calculated with a precision typically greater than the diffraction limit - in the typical range of a few to tens of nm - and the resulting information of the position of the centers of all the localized molecules is used to build up the super-resolution PALM or STORM image.

The localization precision ${\displaystyle \sigma }$ can be calculated according to the formula:

where N is the number of collected photons, a is the pixel size of the imaging detector, ${\displaystyle b^{2}}$ is the average background signal and ${\displaystyle s_{i}}$ is the standard deviation of the Point Spread Function.[10] The requirement of localizing at the same time multiple fluorophores simultaneously over an extended area determines the reason why these methods are wide-field, employing as a detector a CCD or a CMOS camera.

The requirement of an enhanced signal to noise ratio to maximize localization precision determines the frequent combination of this concept with widefield fluorescent microscopes allowing optical sectioning, such as Total Internal Reflection Microscopes or Light Sheet Microscopy.

## The super-resolution image

The resolution of the final image is limited by the precision of each localization and the number of localizations, instead of by diffraction. The super resolution image is therefore a pointillistic representation of the coordinates of all the localized molecules. The super resolution image is commonly rendered by representing each molecule in the image plane as a two dimensional Gaussian with amplitude proportional to the number of photons collected, and the standard deviation depending on the localization precision.

Self-organization of the escherichia coli chemotaxis network imaged with super-resolution light microscopy. Scale bar in (A–E) indicates 1 µm. Scale bar in (F–H) indicates 50 nm.[11]

## Applications

### Multicolor PALM/STORM

Strategies for multicolor localization microscopy. Left: spectral separation. Center: multiple activators (STORM). Right: Ratiometric imaging

The peculiar photophysical properties of the fluorophores employed in PALM/STORM super resolution imaging pose both constraints and opportunities for multicolor imaging. Three strategies have emerged so far: excitation of spectrally separated fluorophores using an emission beamsplitter,[12] using of multiple activators/reporters in STORM mode [13][14] and ratiometric imaging of spectrally close fluorophores.[15] Recently, dual color PALM was used to demonstrate the insertion of mutant desmin molecules into intermediate filaments.[16]

### 3D in PALM and STORM

Although originally developed as 2D (x, y) imaging methods, PALM and STORM have quickly developed into 3D (x,y, z) capable techniques. To determine the axial position of a single fluorophore in the sample the following approaches are currently being used: modification of the point spread function to introduce z-dependent features in the 2D (x,y) image (the most common approach is to introduce astigmatism in the PSF); multiplane detection, where the axial position is determined by comparing two images of the same PSF defocused one with respect to the other; interferometric determination of the axial position of the emitter using two opposed objectives and multiple detectors;[7] use of temporal focusing to confine the excitation/activation; use of light sheet excitation/activation to confine to a few hundred nanometers thick layer arbitrarily positioned along the z-plane within the sample.

### Live cell imaging

The requirement for multiple cycles of activation, excitation and de-activation/bleaching would typically imply extended periods of time to form a PALM/STORM image, and therefore operation on a fixed sample. A number of works have been published as early as 2007 [17] performing PALM/STORM on live cells. The ability to perform live super-resolution imaging using these techniques ultimately depends on the technical limitations of collecting enough photons from a single emitter in a very short time. This depends both on the photophysical limitations of the probe as well as on the sensitivity of the detector employed. Relatively slow (seconds to tens of seconds) processes such as modification in the organization of focal adhesions have been investigated by means of PALM,[18] whereas STORM has allowed imaging of faster processes such as membrane diffusion of clathrin coated pits or mitochondrial fission/fusion processes. A promising application of live cell PALM is the use of photoactivation to perform high-density single-particle tracking (sptPALM [19]), overcoming the traditional limitation of single particle tracking to work with systems displaying a very low concentration of fluorophores.

## Differences between PALM and STORM

PALM and STORM share a common fundamental principle, and numerous developments have tended to make the two techniques even more intertwined. Still, they differ in several technical details and a fundamental point. On the technical side, PALM is performed on a biological specimen using endogenously expressed fluorophores, in the form of genetic fusion constructs to a photoactivatable fluorescent protein. STORM instead uses immunolabeling of the sample with antibodies tagged with organic fluorophores. In both cases the fluorophores are driven by light between an active-ON and an inactive-OFF state. In PALM, however, photoactivation and photobleaching confine the life of the fluorophore to a limited interval of time, and a continuous emission of the fluorophore is desirable in between without any fluorescence intermittency. In STORM stochastic photoblinking of the organic fluorophores (typically brighter than fluorescent proteins) was originally exploited to separate neighboring dyes. In this respect, the more robust the blinking, the higher the probability of distinguishing two neighbouring fluorophores.

In this respect, several research works have explored the potential of PALM to perform a quantitation of the number of fluorophores (and therefore proteins of interest) present in a sample by counting the activated fluorophores [11] .[20][21] The approach used to treat the fluorescent dynamics of the fluorescent label used in the experiments will determine the final appearance of the super-resolution image, and the possibility of determining an unambiguous correspondence between a localization event and a protein in the sample.

## References

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16. Brodehl A, Hedde PN, Dieding M, Fatima A, Walhorn V, Gayda S, Šarić T, Klauke B, Gummert J, Anselmetti D, Heilemann M, Nienhaus GU, Milting H. Dual color photoactivation localization microscopy of cardiomyopathy-associated desmin mutants. J Biol Chem. 2012 May 4;287(19):16047-57. doi: 10.1074/jbc.M111.313841. Epub 2012 Mar 8. PMID: 22403400
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