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Related Concept Videos

Partial Fractions01:28

Partial Fractions

233
A partial fraction is a component of a rational expression represented as the sum of simpler fractions. When a rational function is expressed as a ratio of two polynomials, it can often be decomposed into a sum of fractions whose denominators are simpler polynomials, typically linear or irreducible quadratic factors. This process is called partial fraction decomposition, and it is used to simplify complex expressions for integration, solving equations, or analysis.Partial fraction decomposition...
233
Mixtures of Gases: Dalton's Law of Partial Pressures and Mole Fractions03:03

Mixtures of Gases: Dalton's Law of Partial Pressures and Mole Fractions

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Unless individual gases chemically react with each other, the individual gases in a mixture of gases do not affect each other’s pressure. Each gas in a mixture exerts the same pressure that it would exert if it were present alone in the container. The pressure exerted by each individual gas in a mixture is called its partial pressure.
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Dalton's Law of Partial Pressure01:11

Dalton's Law of Partial Pressure

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The partial pressure of a gas is a measure of the thermodynamic activity of the gas's molecules. The pressure that a gas would create if it occupied the total volume available is called the gas's partial pressure. If two or more gases are mixed together in a container, the molecules move randomly and collide with each other, causing them to reach thermal equilibrium. When the gases have the same temperature, their molecules have the same average kinetic energy. Thus, each gas obeys the...
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Dosage Regimens: Partial Pharmacokinetic Parameters01:01

Dosage Regimens: Partial Pharmacokinetic Parameters

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It is not uncommon for complete drug pharmacokinetic profiles to remain elusive in pharmacokinetics. This necessitates certain educated assumptions by pharmacokineticists to determine appropriate dosage regimens without comprehensive pharmacokinetic data from animal or human studies. One prevalent assumption is setting the bioavailability factor, denoted as F, to 1 or 100%. This assumption caters to the scenario where a drug doesn't achieve full systemic absorption, resulting in the patient...
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Integration of Rational Functions Using Partial Fractions01:29

Integration of Rational Functions Using Partial Fractions

116
Rational functions are expressions written as the ratio of two polynomials, and their integrals are evaluated by simplifying the integrand into manageable parts. These functions are classified as proper or improper based on the degrees of the numerator and denominator.A rational function is proper when the degree of the numerator is less than the degree of the denominator. In this case, partial fraction decomposition is used to rewrite the function as a sum of simpler rational terms. The...
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Inverse z-Transform by Partial Fraction Expansion01:20

Inverse z-Transform by Partial Fraction Expansion

723
The inverse z-transform is a crucial technique for converting a function from its z-domain representation back to the time domain. One effective method for finding the inverse z-transform is the Partial Fraction Method, which involves decomposing a function into simpler fractions with distinct coefficients. These fractions correspond to known z-transform pairs, facilitating the inverse transformation process.
To begin the process, the poles of the function are identified and the function is...
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Planarian Immobilization, Partial Irradiation, and Tissue Transplantation
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Partial breast irradiation: The time is there!

Icro Meattini1, Lorenzo Livi1, Stefania Pallotta2

  • 1Radiation Oncology Department, Azienda Ospedaliero Universitaria Careggi, University of Florence, Italy.

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Summary
This summary is machine-generated.

The IMPORT LOW trial shows partial breast irradiation (PBI) is as effective as whole breast irradiation with less toxicity. Patient selection is key to minimizing local relapse rates in early-stage breast cancer.

Keywords:
Breast cancerGuidelinesPartial breast irradiationPatient selectionTumour biology

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Area of Science:

  • Oncology
  • Radiation Oncology
  • Clinical Trials

Background:

  • Partial breast irradiation (PBI) is an alternative to whole breast irradiation (WBI).
  • Previous studies suggested PBI may have a higher local relapse rate.
  • Patient selection and technique are crucial for PBI efficacy and toxicity.

Purpose of the Study:

  • To evaluate the 5-year non-inferiority of conventionally fractionated PBI compared to WBI.
  • To assess local relapse rates and breast toxicity in patients treated with PBI.
  • To determine the impact of patient selection on PBI outcomes.

Main Methods:

  • The study analyzed data from the IMPORT LOW trial.
  • Patients with early-stage, node-negative, grade 1-2, ER-positive, HER2-negative tumors were included.
  • Conventional radiation techniques were used for PBI.

Main Results:

  • A 5-year non-inferiority local relapse rate for PBI compared to WBI was demonstrated.
  • Significant reduction in breast toxicity was observed with PBI.
  • Efficacy of PBI was strongly related to adequate patient selection.

Conclusions:

  • Conventionally fractionated PBI is a safe and effective alternative to WBI for selected patients.
  • IMPORT LOW trial results support PBI as a viable option, minimizing local relapse.
  • Tumor biology and specific inclusion criteria should guide PBI treatment decisions.