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Related Concept Videos

Partial Fractions01:28

Partial Fractions

230
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...
230
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...
2.6K
Dosage Regimens: Partial Pharmacokinetic Parameters01:01

Dosage Regimens: Partial Pharmacokinetic Parameters

181
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...
181
Integration of Rational Functions Using Partial Fractions01:29

Integration of Rational Functions Using Partial Fractions

104
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...
104
Inverse z-Transform by Partial Fraction Expansion01:20

Inverse z-Transform by Partial Fraction Expansion

720
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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Related Experiment Video

Updated: Feb 12, 2026

Robot-assisted Partial Splenectomy
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Combined robot assisted right partial nephrectomy and cholecystectomy with single docking.

Konstantinos Stravodimos1, Ioannis Katafigiotis2, Christos Pournaras1

  • 1Department of Urology, Athens University Medical School, 1st University Urology Clinic Laiko Hospital, 17 Agiou Thoma Str., 11527, Athens, Greece.

Journal of Robotic Surgery
|March 31, 2018
PubMed
Summary

This study details the first simultaneous robot-assisted partial nephrectomy and cholecystectomy. This combined robotic surgery approach minimizes operating time and costs for patients needing both procedures.

Keywords:
Concomitant robotic operationsRobot assisted cholecystectomyRobot assisted partial nephrectomy

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Area of Science:

  • Urology
  • Gastrointestinal Surgery
  • Robotic Surgery

Background:

  • Simultaneous surgical procedures can offer efficiency benefits.
  • Organ-confined kidney tumors and gall bladder stones are common comorbidities.

Observation:

  • A single docking approach was utilized for robot-assisted partial nephrectomy and cholecystectomy.
  • Modified patient positioning and trocar placement facilitated the combined procedure.

Findings:

  • The combined robot-assisted surgery was successfully performed in a single session.
  • Total blood loss was 80 ml, with an operative time of 253 minutes and console time of 187 minutes.
  • The patient was discharged on postoperative day 3.

Implications:

  • This single-docking technique can reduce intraoperative time and costs.
  • It presents a viable option for patients requiring concurrent kidney tumor and gall bladder removal.
  • Further research can explore the broader applicability of this combined robotic approach.