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Related Concept Videos

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

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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Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least squares (OLS)...
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Propagation of Uncertainty from Systematic Error

The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this particular...
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An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
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Pharmacokinetic models are mathematical constructs that represent and predict the time course of drug concentrations in the body, providing meaningful pharmacokinetic parameters. These models are categorized into compartment, physiological, and distributed parameter models.
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Combining Fluidic Devices with Microscopy and Flow Cytometry to Study Microbial Transport in Porous Media Across Spatial Scales
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Simulating microbial systems: addressing model uncertainty/incompleteness via multiscale and entropy methods.

A Singharoy1, H Joshi, S Cheluvaraja

  • 1Department of Chemistry, Center for Cell and Virus Theory, Indiana University, Bloomington, IN, USA.

Methods in Molecular Biology (Clifton, N.J.)
|May 29, 2012
PubMed
Summary
This summary is machine-generated.

This study introduces a deductive multiscale approach for modeling complex systems like viruses and cells. It integrates coarse-grained models with probabilistic descriptions for accurate, calibration-free simulations.

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Area of Science:

  • Multiscale modeling
  • Computational biology
  • Systems science

Background:

  • Natural and engineering systems are often multiscale.
  • Existing models can be incomplete or uncertain, necessitating probabilistic approaches.
  • Direct simulation of large systems (e.g., 10^6 atoms) is computationally infeasible.

Purpose of the Study:

  • To present a deductive multiscale approach for modeling complex systems.
  • To derive coarse-grained equations from underlying physical models for a calibration-free methodology.
  • To demonstrate the approach using virus and cell systems.

Main Methods:

  • Reducing resolution from N-atom descriptions to coarse-grained variables.
  • Integrating coarse-grained equations with probabilistic descriptions of fine-scale states.
  • Developing a computational platform (SimEntropics™) for microbial modeling.

Main Results:

  • A methodology for modeling microbial systems is presented.
  • The approach allows for a probabilistic description of underlying microstates.
  • Deductive, calibration-free modeling is achieved.

Conclusions:

  • The developed deductive multiscale approach provides a robust framework for complex systems.
  • Probabilistic descriptions are essential for handling uncertainty in multiscale modeling.
  • The SimEntropics™ platform offers prospects for advanced microbial modeling and applications.