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10 - Statistical mechanics

(8 problems)

Published online by Cambridge University Press:  18 December 2013

Mark Johnson
Affiliation:
Northwestern University, Illinois
C. Ross Ethier
Affiliation:
Georgia Institute of Technology
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Summary

Nanoparticles can be used to probe the intracellular environment. By tracking their motion one can draw conclusions regarding transport inside a cell.

An investigator has placed a nanoparticle of diameter 100 nm inside of a Xenopus oocyte. The cytoplasm of this cell behaves like a viscous fluid with a viscosity 20 times that of water. Over a period of 20 s (at a temperature of 18 °C), the particle travels (on a somewhat erratic path) over a distance of approximately 3 μm from the periphery of the cell toward the nucleus in the center of the cell.

The investigator concludes that there is a preferential motion or “flow” from the periphery of the cell toward the nucleus. He would now like to plan a full study to examine what causes this “flow.” Does this seem like a reasonable next step? If so, justify why. If not, explain what next step you would suggest.

Fibrinogen has a diffusion coefficient in saline of approximately 2 × 10–7 cm2/s at 25 ˚C. It is a rod-shaped molecule whose length is roughly 10 times its radius. Estimate the length of this molecule.

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Publisher: Cambridge University Press
Print publication year: 2013

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  • Statistical mechanics
  • Mark Johnson, Northwestern University, Illinois, C. Ross Ethier, Georgia Institute of Technology
  • Book: Problems for Biomedical Fluid Mechanics and Transport Phenomena
  • Online publication: 18 December 2013
  • Chapter DOI: https://doi.org/10.1017/CBO9781139794787.011
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  • Statistical mechanics
  • Mark Johnson, Northwestern University, Illinois, C. Ross Ethier, Georgia Institute of Technology
  • Book: Problems for Biomedical Fluid Mechanics and Transport Phenomena
  • Online publication: 18 December 2013
  • Chapter DOI: https://doi.org/10.1017/CBO9781139794787.011
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Statistical mechanics
  • Mark Johnson, Northwestern University, Illinois, C. Ross Ethier, Georgia Institute of Technology
  • Book: Problems for Biomedical Fluid Mechanics and Transport Phenomena
  • Online publication: 18 December 2013
  • Chapter DOI: https://doi.org/10.1017/CBO9781139794787.011
Available formats
×