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Cellular growth in biofilms.

B D Wood1, S Whitaker

  • 1Pacific Northwest National Laboratory, Richland, Washington 99352, USA.

Biotechnology and Bioengineering
|July 23, 1999
PubMed
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This study presents a macroscopic model for cellular growth, derived from microscopic mass transport and product formation. It offers a framework connecting microscopic details to macroscopic behavior for improved biological process modeling.

Area of Science:

  • Biochemical Engineering
  • Mathematical Biology
  • Continuum Mechanics

Background:

  • Cellular growth models often simplify complex mass transport and product formation dynamics.
  • Existing macroscopic models may lack explicit links to underlying microscopic mechanisms.

Purpose of the Study:

  • To develop a macroscopic evolutionary equation for cellular phase growth.
  • To integrate microscopic mass transport and structured product formation models.
  • To establish a clear connection between microscopic parameters and macroscopic model counterparts.

Main Methods:

  • Utilizing continuum mechanics and volume averaging techniques.
  • Developing a structured model for microscopic product formation and mass transport.
  • Deriving macroscopic equations from microscopic principles.

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Main Results:

  • A macroscopic evolutionary equation for cellular growth was successfully developed.
  • The model incorporates fluxes of chemical species relevant to cell growth.
  • The derived model aligns with previously published macroscopic growth models.

Conclusions:

  • The volume averaging method validates the developed growth model under specific conditions.
  • An explicit link between microscopic and macroscopic model parameters is established.
  • This work provides a robust framework for modeling cellular growth processes.