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Related Concept Videos

Continuous Renal Replacement Therapy01:30

Continuous Renal Replacement Therapy

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Continuous Renal Replacement Therapy, also known as CRRT, is a procedural treatment for acute kidney injury (AKI) that gradually removes uremic toxins and fluids while maintaining acid-base balance and stabilizing electrolytes. It is particularly useful for hemodynamically unstable patients. Unlike intermittent hemodialysis, which is faster, CRRT provides a gentler approach over 24 hours, closely mimicking the function of natural kidneys. However, CRRT is not ideal for patients with...
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Arc Length of a Curve01:30

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In engineering applications like roller coaster design, cable installation, and railway construction, determining the precise length of a curved path is essential. These paths are rarely straight and often follow smooth, continuous curves that require accurate measurement for effective planning.To estimate the length of a curve, the path is initially divided into small segments. Each segment is approximated by a straight line connecting two nearby points on the curve. The sum of these linear...
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Arc Length Function01:22

Arc Length Function

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The arc length function represents the total distance traveled along a smooth curve measured from a fixed starting point to a variable endpoint. For curves that are continuous and differentiable, arc length provides a precise way to quantify distance when straight-line approximations are insufficient.To derive arc length, the curve is divided into many small segments. Each segment is approximated by a straight line whose length depends on the horizontal and vertical changes over that interval.
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Extracorporeal Removal of Drugs: Continuous Renal Replacement Therapy01:26

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Continuous Renal Replacement Therapy (CRRT) is an essential intervention for patients experiencing severe kidney dysfunction. This therapy offers a continuous mechanism for removing fluids and toxins from the bloodstream, leveraging the patient’s blood pressure to facilitate filtration through a specialized filter. This method contrasts with intermittent dialysis, providing a gentler and more consistent removal of waste products and excess fluid, which is particularly beneficial in...
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Arc Length of a Curve: Problem Solving01:21

Arc Length of a Curve: Problem Solving

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A high-voltage power line spans a 40-meter horizontal distance between two transmission towers, resulting in a 10-meter vertical sag due to the effects of gravity and thermal expansion. The curve formed by the suspended cable is a catenary, which accurately models the behavior of a uniform, flexible cable under its own weight. Unlike a parabolic shape, the catenary is described by the hyperbolic cosine function and offers a precise representation of the cable's form.In this setup, engineers...
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The equilibrium constant for a reaction is calculated from the equilibrium concentrations (or pressures) of its reactants and products. If these concentrations are known, the calculation simply involves their substitution into the Kc expression.
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Related Experiment Video

Updated: Feb 3, 2026

Positron Emission Tomography-based Dose Painting Radiation Therapy in a Glioblastoma Rat Model using the Small Animal Radiation Research Platform
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Continuous aperture dose calculation and optimization for volumetric modulated arc therapy.

Eric Christiansen1, Emily Heath1, Tong Xu2

  • 1Department of Physics, Carleton University, Ottawa, ON, K1S 5B6, Canada.

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|October 27, 2018
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Continuous aperture VMAT significantly improves dose accuracy in radiation therapy by accounting for real-time leaf motion. This advanced method reduces dose errors and optimizes treatment plans more efficiently than traditional discrete methods.

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Area of Science:

  • Medical Physics
  • Radiation Oncology
  • Computational Biology

Background:

  • Volumetric Modulated Arc Therapy (VMAT) delivery involves continuous gantry rotation and multi-leaf collimator (MLC) motion.
  • Traditional VMAT dose calculation often relies on discrete aperture approximations, potentially leading to inaccuracies.
  • The impact of these approximations on optimized treatment plan quality requires thorough investigation.

Purpose of the Study:

  • To determine the validity of discrete aperture and instantaneous angle assumptions in VMAT dose calculation.
  • To assess the impact of these approximations on the quality of optimized treatment plans.
  • To develop and integrate an accurate continuous aperture fluence calculation method into VMAT optimization.

Main Methods:

  • A novel continuous aperture fluence calculation method was derived, simulating MLC leaf sweep.
  • This method was integrated into the open-source treatment planning system matRad for VMAT optimization.
  • A three-step VMAT optimization process (fluence map optimization, leaf sequencing, direct aperture optimization) was employed with variable parameters.

Main Results:

  • Discrete aperture VMAT plans showed significant dose errors (10%-35%) compared to continuous aperture calculations.
  • Using continuous aperture fluence calculation at the same angular spacing reduced errors to 0.8%-2%.
  • Continuous aperture VMAT optimization achieved plan objectives and reduced computation time by 40% using fewer beam angles.

Conclusions:

  • The discrete aperture approximation is a primary source of dose error in VMAT calculations.
  • Continuous aperture VMAT significantly improves dose accuracy and plan quality.
  • This advanced method offers a more efficient and accurate approach to VMAT optimization.