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Related Concept Videos

Calibration Curves: Linear Least Squares01:20

Calibration Curves: Linear Least Squares

A calibration curve is a plot of the instrument's response against a series of known concentrations of a substance. This curve is used to set the instrument response levels, using the substance and its concentrations as standards. Alternatively, or additionally, an equation is fitted to the calibration curve plot and subsequently used to calculate the unknown concentrations of other samples reliably.
For data that follow a straight line, the standard method for fitting is the linear...
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Instrument calibration is essential for ensuring that instruments produce accurate and consistent results. It is vital in manufacturing, healthcare, testing laboratories, and scientific research. Calibration processes are specific to each instrument and help enhance data accuracy. Each instrument has a unique calibration process tailored to its design and function to improve data accuracy.
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Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
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Related Experiment Video

Updated: Jul 4, 2026

Automatic Laser-based Geometry Capture for Finite Element Analysis of Weld Beads
07:58

Automatic Laser-based Geometry Capture for Finite Element Analysis of Weld Beads

Published on: July 25, 2025

Sewer modelling based on highly distributed calibration data sets and multi-objective auto-calibration schemes.

D Muschalla1, S Schneider, K Schröter

  • 1Technische Universität Darmstadt, Institute of Hydraulic and Water Resources, Petersenstrasse 13, D-64287, Darmstadt, Germany. muschalla@ihwb.tu-darmstadt.de

Water Science and Technology : a Journal of the International Association on Water Pollution Research
|June 4, 2008
PubMed
Summary

This study optimizes sewer pollutant load models using auto-calibration, achieving satisfying results for dry and storm weather. The build-up wash-off model with basic equations performed best, though convective storms require further research.

Related Experiment Videos

Last Updated: Jul 4, 2026

Automatic Laser-based Geometry Capture for Finite Element Analysis of Weld Beads
07:58

Automatic Laser-based Geometry Capture for Finite Element Analysis of Weld Beads

Published on: July 25, 2025

Area of Science:

  • Environmental Engineering
  • Hydrology
  • Water Quality Management

Background:

  • Sewer pollutant load modelling is crucial for management strategies.
  • Conventional calibration data sets are often limited.
  • Long-term, high-resolution monitoring data from Graz West catchment area is available since 2002.

Purpose of the Study:

  • To apply and compare single- and multi-objective auto-calibration schemes for a deterministic hydrological pollutant load model.
  • To evaluate three pollutant load modelling approaches: constant storm concentration, and build-up wash-off with basic and extended equations.

Main Methods:

  • Utilized evolution strategies for single- and multi-objective auto-calibration.
  • Applied a deterministic hydrological pollutant load model.
  • Compared three pollutant load modelling approaches: constant concentration, basic build-up wash-off, and extended build-up wash-off.

Main Results:

  • The auto-calibration method yielded highly satisfactory results for calibration and validation datasets, covering both dry and storm weather runoff.
  • The build-up wash-off approach with the basic wash-off equation demonstrated the best correlation between measured data and simulation results.
  • Convective storms were not convincingly represented by the current models.

Conclusions:

  • Auto-calibration schemes provide effective pollutant load modelling for sewer systems.
  • The basic build-up wash-off model is recommended for its superior performance.
  • Further refinement of multi-objective optimisation criteria is needed to address sensitivity to measurement errors and improve convective storm representation.