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Power Input Measurements in Stirred Bioreactors at Laboratory Scale
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Published on: May 16, 2018

Population dynamics at high Reynolds number.

Prasad Perlekar1, Roberto Benzi, David R Nelson

  • 1Department of Physics, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands.

Physical Review Letters
|January 15, 2011
PubMed
Summary
This summary is machine-generated.

Population dynamics in turbulent flows exhibit quasilocalization and reduced carrying capacity due to growth and saturation. Multifractal analysis reveals population density properties, with advection causing delocalization.

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Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions

Published on: February 22, 2018

Area of Science:

  • Fluid Dynamics
  • Population Ecology
  • Statistical Physics

Background:

  • Understanding population dynamics in complex environments is crucial.
  • Turbulent velocity fields present unique challenges for population distribution and survival.
  • Previous studies have not fully explored the interplay of turbulence and population growth.

Purpose of the Study:

  • To investigate the statistical properties of population dynamics in a 2D compressible turbulent velocity field.
  • To quantify the effects of turbulent dynamics on population growth, saturation, and carrying capacity.
  • To analyze population density using multifractal scaling and investigate advection effects.

Main Methods:

  • Numerical simulations of population dynamics in a turbulent velocity field.
  • Statistical analysis of population density.
  • Multifractal scaling analysis.
  • Investigation of the singular limit with small growth rates and uniform advection.

Main Results:

  • Turbulent dynamics combined with population growth and saturation lead to quasilocalization.
  • A significant reduction in carrying capacity was observed.
  • Multifractal scaling analysis quantified the statistical properties of population density.
  • Uniform advection was shown to trigger delocalization of population ridges.

Conclusions:

  • The study reveals a novel mechanism of quasilocalization in turbulent environments.
  • Carrying capacity is strongly influenced by the interplay between turbulence and population regulation.
  • Multifractal analysis provides a robust tool for characterizing population distributions in complex flows.