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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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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...
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Quantifying uncertainty in parameter estimates for stochastic models of collective cell spreading using approximate

Brenda N Vo1, Christopher C Drovandi1, Anthony N Pettitt1

  • 1Mathematical Sciences, Queensland University of Technology (QUT), Brisbane, Queensland 4001, Australia.

Mathematical Biosciences
|March 10, 2015
PubMed
Summary

This study introduces approximate Bayesian computation (ABC) to precisely estimate cell diffusivity (D) and proliferation rate (λ) in collective cell spreading models. The method offers accurate parameter estimation with quantified uncertainty, improving biological insights.

Keywords:
Approximate Bayesian computationCell diffusivityCell proliferationCollective cell spreadingRandom walk model

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Area of Science:

  • Biophysics
  • Mathematical Biology
  • Cell Biology

Background:

  • Collective cell spreading is crucial for wound healing and tumor growth, driven by cell motility and proliferation.
  • Mathematical models are essential for analyzing cell spreading data and estimating key parameters.
  • Current parameter estimation methods often assume constant parameters and neglect uncertainty.

Purpose of the Study:

  • To apply approximate Bayesian computation (ABC) for estimating cell diffusivity (D) and proliferation rate (λ) in collective cell spreading.
  • To quantify the uncertainty in these parameter estimates using Bayesian inference.
  • To analyze collective cell spreading data from 3T3 fibroblast cells under different experimental conditions.

Main Methods:

  • Utilized approximate Bayesian computation (ABC) coupled with Bayesian inference for parameter estimation.
  • Employed a discrete model of collective cell spreading.
  • Analyzed experimental data based on the position of the leading edge of cell populations.

Main Results:

  • Achieved precise estimation of cell diffusivity (D) with a coefficient of variation (CV) of 2-6%.
  • Observed that cell diffusivity (D) appears to be dependent on experimental time, a previously overlooked factor.
  • Obtained precise estimates for cell proliferation rate (λ) (CV 4-12%) by leveraging diffusivity estimates.

Conclusions:

  • The ABC method provides a robust and accurate approach for estimating parameters in collective cell spreading models.
  • The findings highlight the time-dependent nature of cell diffusivity and offer precise estimates for both diffusivity and proliferation.
  • This Bayesian approach offers a cost-effective alternative to cell counting techniques for parameter estimation.