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A horizontal curve is characterized by its radius, intersection angle, and stationing of key points. In this case, the radius is 400 meters, and the angle of intersection is 30 degrees, with the station of the point of curvature (P.C.) at 0 + 150 meters. The goal is to determine the station values at the point of intersection (P.I.), point of tangency (P.T.), and midpoint of the curve, as well as the length of the long chord.The process begins with calculating the tangent distance (T) and the...
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Vertical curves provide the transition between two roadway grades, ensuring safety, comfort, and functionality. Calculating elevations at specific stations along the curve involves several systematic steps based on the curve's geometry and provided design parameters.The vertical curve is defined by its length, grades, Point of Vertical Intersection (P.V.I.) location, and P.V.I. elevation. The stations of the Point of Vertical Curvature (P.V.C.), where the curve begins, and the Point of Vertical...
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Curves are essential geometric elements characterized by tangent distance, chord length, middle ordinate, and total arc length. These measurements are crucial in understanding a curve's geometric and spatial properties and are defined by the relationship between its radius and its central angle.The tangent distance (T) refers to the straight-line measurement from the intersection point of two tangents to either the start or end of the curve. This distance is influenced by the curve's radius (R)...
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Designing and plotting a curve using field data requires precise calculations and execution. A horizontal curve with a radius of 200 meters and an intersection angle of 20 degrees is established using the method of perpendicular offsets from the long chord. The long chord, which spans between the curve's endpoints, is calculated to be 69.46 meters in length. To maintain accuracy in plotting, intervals of 3 meters are selected along the chord.The engineer determines the offset distances for each...
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Vertical curves are essential in roadway design because they provide smooth transitions between varying roadway grades. Designing vertical curves involves calculating intermediate elevations and identifying the curve's highest or lowest point, which is essential for optimal roadway performance.Intermediate elevations on a vertical curve are determined using the tangent offset method. This method considers the initial elevation at the start of the curve, the grades, and the curve's geometry. The...
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Vertical curves are parabolic transitions that connect different grades on highways and railroads, ensuring a smooth alignment between back and forward tangents. The back tangent represents the initial grade, while the forward tangent defines the subsequent grade. These curves can be symmetrical, with equal tangent lengths, or nonsymmetrical, with varying lengths. The key points defining a vertical curve include the Point of Vertical Intersection (P.V.I.), where the tangents meet; the Point of...
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Type 2 dynamic curves: A diagnostic dilemma.

Erdal Karavas1, Bunyamin Ece2, Sonay Aydın1

  • 1Department of Radiology, Erzincan University, Erzincan 24142, Turkey.

World Journal of Radiology
|September 26, 2022
PubMed
Summary

Type 2 dynamic curves in breast MRI can indicate malignancy but also appear in benign sclerosing adenosis. Combining curve analysis with morphology enhances diagnostic accuracy for breast lesions.

Keywords:
BenignBreastDynamic curveMagnetic resonance imagingMalignantType 2

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Area of Science:

  • Radiology
  • Oncology
  • Pathology

Background:

  • Multiparametric dynamic contrast-enhanced magnetic resonance imaging (MRI) is crucial for breast lesion assessment.
  • Dynamic curve patterns (Type 1: benign, Type 3: malignant) aid in differentiating lesion types.
  • Type 2 dynamic curves have shown moderate accuracy for malignancy detection (42.6% sensitivity, 75% specificity).

Purpose of the Study:

  • To investigate the pathological diagnosis of breast lesions exhibiting Type 2 dynamic curves on MRI.
  • To evaluate the diagnostic performance of Type 2 curves and the impact of morphological features.

Main Methods:

  • Retrospective analysis of 38 breast lesions with Type 2 dynamic curves from 33 patients (2020-2021).
  • Evaluation of pathological diagnoses and morphological characteristics of the included lesions.
  • Assessment of sensitivity and specificity for malignancy prediction.

Main Results:

  • Of 38 lesions, 26 were malignant and 12 were benign.
  • Sclerosing adenosis was the most common benign finding (58.3%), invasive ductal cancer the most common malignant diagnosis.
  • Type 2 curves alone showed 40.2% sensitivity and 73.4% specificity for malignancy; combining with morphology improved these metrics.

Conclusions:

  • A significant proportion of Type 2 dynamic curves in breast MRI are associated with malignancy.
  • Type 2 curves can be present in benign lesions, notably sclerosing adenosis.
  • Integrating morphological features with Type 2 curve analysis improves diagnostic accuracy for breast lesions.