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Related Concept Videos

Relative Motion Analysis using Rotating Axes01:25

Relative Motion Analysis using Rotating Axes

Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame.
However, to express the relative position of point B relative to point A, an additional frame of reference, denoted as x'y', is necessary. This additional frame not only translates but also rotates relative to the fixed frame, making it instrumental in...
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...
Relative Motion Analysis using Rotating Axes - Acceleration01:22

Relative Motion Analysis using Rotating Axes - Acceleration

Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame. The absolute velocity of point B is determined by adding the absolute velocity of point A, the relative velocity of point B in the rotating frame, and the effects caused by the angular velocity within the rotating frame.
Time differentiation is...
¹H NMR of Conformationally Flexible Molecules: Temporal Resolution00:52

¹H NMR of Conformationally Flexible Molecules: Temporal Resolution

At room temperature, the chair conformer of cyclohexane undergoes rapid ring flipping between two equivalent chair conformers at a rate of approximately 105 times per second. These two chair conformers are in equilibrium. The rapid ring flipping results in the interconversion of the axial proton to an equatorial proton and an equatorial to the axial proton. Such interconversions are too rapid and cannot be detected on the NMR timescale. Hence, the NMR spectrometer cannot distinguish between the...
Curvilinear Motion: Rectangular Components01:23

Curvilinear Motion: Rectangular Components

Curvilinear motion characterizes the movement of a particle or object along a curved path, notably evident when envisioning a car navigating a winding road. If the car starts at point A, its position vector is established within a fixed frame of reference, where the ratio of the position vector to its magnitude signifies the unit vector pointing in the position vector's direction.
As the car advances, its position evolves over time. Quantifying the car's velocity involves computing the time...
Relative Motion Analysis - Velocity01:24

Relative Motion Analysis - Velocity

A stroke engine has a slider-crank mechanism that converts rotational motion from the crank into linear motion of the slider or vice versa. This mechanism consists of three main parts: the crank, the connecting rod, and the slider.
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Related Experiment Video

Updated: May 29, 2026

Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy
06:37

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Published on: June 15, 2022

Slow-rotation dynamic SPECT with a temporal second derivative constraint.

T Humphries1, A Celler, M Trummer

  • 1Department of Mathematics, Simon Fraser University, Burnaby, British Columbia V5A 1S6, Canada.

Medical Physics
|September 21, 2011
PubMed
Summary
This summary is machine-generated.

A new dynamic SPECT reconstruction method (d2EM) improves the smoothness and consistency of time activity curves (TACs) in medical imaging. This enhancement aids in better visualization of dynamic tracer behavior in the human body.

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Area of Science:

  • Nuclear Medicine
  • Medical Imaging
  • Biomedical Engineering

Background:

  • Dynamic tracer behavior in the human body is influenced by continuous physiological processes.
  • Tracer concentration changes within a region of interest (ROI) should ideally follow smooth curves.
  • Existing dynamic SPECT reconstruction algorithms may not fully capture this inherent smoothness.

Purpose of the Study:

  • To modify the existing slow-rotation dynamic SPECT reconstruction algorithm (dSPECT).
  • To improve the smoothness of time activity curves (TACs) and overall image quality.
  • To introduce a novel method, d2EM, for enhanced dynamic SPECT reconstruction.

Main Methods:

  • The d2EM method constrains the second derivative (concavity) of the TAC in each voxel, allowing at most one sign change.
  • Additional constraints are applied to prevent nonphysical outcomes.
  • Comparison with dSPECT using digital phantom simulations and experimental 99mTc-DTPA renal SPECT data.

Main Results:

  • d2EM consistently produced smoother TACs with more consistent shapes compared to dSPECT in both simulations and experiments.
  • TAC magnitudes within ROIs showed noticeable variation across methods, including OSEM.
  • Averaged TACs over regions were similar for dSPECT and d2EM, even in small ROIs.

Conclusions:

  • The d2EM method effectively enhances the smoothness of reconstructed time activity curves.
  • Improved consistency of TAC shapes within regions of interest is achieved.
  • The method shows promise for more accurate dynamic SPECT imaging.