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Related Concept Videos

Pole and System Stability01:24

Pole and System Stability

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The transfer function is a fundamental concept representing the ratio of two polynomials. The numerator and denominator encapsulate the system's dynamics. The zeros and poles of this transfer function are critical in determining the system's behavior and stability.
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Time and frequency -Domain Interpretation of PI Control01:27

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Proportional-Integral (PI) controllers are essential in many control systems to improve stability and performance. They are commonly used in everyday devices like thermostats to enhance system damping and reduce steady-state error. When the zero in the controller's transfer function is optimally placed, the system benefits significantly in terms of stability and accuracy.
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Curvilinear Motion: Polar Coordinates01:27

Curvilinear Motion: Polar Coordinates

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In polar coordinates, the motion of a particle follows a curvilinear path. The radial coordinate symbolized as 'r,' extends outward from a fixed origin to the particle, while the angular coordinate, 'θ,' measured in radians, represents the counterclockwise angle between a fixed reference line and the radial line connecting the origin to the particle.
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Linear Approximation in Frequency Domain01:26

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Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
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Spherical coordinate systems are preferred over Cartesian, polar, or cylindrical coordinates for systems with spherical symmetry. For example, to describe the surface of a sphere, Cartesian coordinates require all three coordinates. On the other hand, the spherical coordinate system requires only one parameter: the sphere's radius. As a result, the complicated mathematical calculations become simple. Spherical coordinates are used in science and engineering applications like electric and...
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A calibration curve is a plot of the instrument's response against a series of known concentrations of a substance. This curve is used to set the instrument response levels, using the substance and its concentrations as standards. Alternatively, or additionally, an equation is fitted to the calibration curve plot and subsequently used to calculate the unknown concentrations of other samples reliably.
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Test Samples for Optimizing STORM Super-Resolution Microscopy
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Optimal precision and accuracy in 4Pi-STORM using dynamic spline PSF models.

Mark Bates1,2, Jan Keller-Findeisen3, Adrian Przybylski3

  • 1Department of NanoBiophotonics, Max Planck Institute for Biophysical Chemistry, Göttingen, Germany. mark.bates@mpibpc.mpg.de.

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|May 16, 2022
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Summary
This summary is machine-generated.

We developed a 4Pi-STORM microscope for advanced single-molecule localization microscopy. This technique achieves 2-3 nm 3D resolution, overcoming previous limitations in instrumentation and data analysis for broader applications.

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Area of Science:

  • Biophysics
  • Microscopy
  • Molecular Imaging

Background:

  • Coherent fluorescence imaging using two objective lenses (4Pi detection) offers sub-10 nm 3D spatial resolution for single-molecule localization microscopy.
  • Complex instrumentation and data analysis have limited the widespread adoption of 4Pi detection techniques.

Purpose of the Study:

  • To develop a simplified 4Pi-STORM microscope with enhanced resolution and accuracy.
  • To overcome the technical challenges associated with 4Pi detection for broader scientific application.

Main Methods:

  • Development of a 4Pi-STORM microscope with a simplified optical design.
  • Implementation of dynamic spline point spread function (PSF) models to account for phase modulation fluctuations.
  • Utilizing the full information content of the data to minimize artifacts and maximize precision.

Main Results:

  • Achieved near-isotropic 3D localization precision of 2-3 nm.
  • Dynamic PSF modeling accurately captured temporal optical system evolution.
  • Minimized phase-wrapping artifacts, reaching theoretical precision limits.

Conclusions:

  • The developed 4Pi-STORM microscope offers optimal resolution and accuracy with a simpler design.
  • This advancement facilitates broader application of high-resolution 3D single-molecule localization microscopy.
  • Demonstrated utility in investigating protein and nucleic acid organization in biological systems.