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Local attraction refers to disturbances in compass readings caused by magnetic influences from nearby objects such as metal fences, buried pipes, vehicles, buildings, power lines, or natural iron ore deposits. Small items like wristwatches, steel tools, or belt buckles can also interfere with the compass by creating local magnetic fields that distort the Earth's natural magnetic field. These distortions lead to inaccurate readings, posing navigation and land surveying challenges.Local...
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Mapping Absolute DNA Density in Cell Nuclei using Single-molecule Localization Microscopy
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Phasor based single-molecule localization microscopy in 3D (pSMLM-3D): An algorithm for MHz localization rates using

Koen J A Martens1, Arjen N Bader1, Sander Baas1

  • 1Laboratory of Biophysics, Wageningen University and Research, Stippeneng 4, 6708 WE Wageningen, The Netherlands.

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Summary
This summary is machine-generated.

We developed a rapid, model-free algorithm for single-molecule localization, achieving over 3 million localizations per second with high accuracy. This method uses Fourier coefficients to determine emitter positions and depth, enhancing super-resolution microscopy speed.

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Area of Science:

  • Biophysics
  • Optical Microscopy
  • Computational Biology

Background:

  • Super-resolution microscopy techniques enable visualization of cellular structures below the diffraction limit.
  • Accurate single-molecule localization is crucial for reconstructing high-resolution images.
  • Existing algorithms often face trade-offs between speed, accuracy, and computational cost.

Purpose of the Study:

  • To present a novel, fast, and model-free algorithm for 2D and 3D single-molecule localization.
  • To achieve high localization speeds exceeding 3 million localizations per second.
  • To maintain localization accuracy comparable to state-of-the-art methods.

Main Methods:

  • The algorithm converts regions of interest around point spread functions into two phase vectors (phasors) using Fourier coefficients.
  • Emitter localization is achieved by analyzing the angles of these phasors.
  • Depth information (z-direction) is extracted by measuring the ratio of phasor magnitudes, correlating with astigmatism.

Main Results:

  • Achieved over 3 × 10^6 localizations per second on a standard multi-core CPU.
  • Demonstrated localization accuracies on par with the most precise existing algorithms.
  • Validated the algorithm's capability for both 2D and 3D single-molecule localization.

Conclusions:

  • The presented algorithm offers a significant advancement in the speed of single-molecule localization without compromising accuracy.
  • It can be employed as a standalone tool for rapid analysis or as an initial step for more complex iterative algorithms.
  • This method holds potential for accelerating image acquisition and analysis in super-resolution microscopy.