Gelatin Swelling

  • Avner Friedman
  • David S. Ross
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 3)


In Chap. 2 we described emulsion layers, which contain silver halide grains and oil droplets in gelatin. The silver halide grains capture light, i.e., they record the arrival of photons that enter the shutter when a photograph is taken. The oil droplets contain dye couplers which, during the development of the film, produce colored dye. Emulsion layers also contain other ingredients. Whereas the silver halide grains and oil droplets occupy a substantial volume of the emulsion, the other materials occupy a negligible volume.


Mathematical Result Left Endpoint Silver Halide Substantial Volume Linear Parabolic Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    J. Crank, The Mathematics of Diffusion, Clarendon Press, Oxford (1995).Google Scholar
  2. 2.
    A. Friedman, Mathematics in Industrial Problems, Part 3, IMA Volumes in Mathematics and its Applications, #31, Springer-Verlag, New York (1990).zbMATHCrossRefGoogle Scholar
  3. 3.
    K.C. Ng and D.S. Ross, Diffusion in swelling gelatin, J. of Imaging Science, 35 (1991), 356–361.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Avner Friedman
    • 1
  • David S. Ross
    • 2
  1. 1.Department of MathematicsOhio State UniversityColumbusUSA
  2. 2.Department of Mathematics and StatisticsRochester Institute of TechnologyRochesterUSA

Personalised recommendations