Abstract

The heat equation posed on the half-line may be used as a simple mathematical model describing the operation of an amperometric ion sensor. These sensors represent the next generation of sensors that are in routine use today. Such sensors may be used to measure ion concentrations in the laboratory, for clinical analysis, environmental monitoring, process and quality control, biomedical analysis, and physiological applications. Study of the heat equation and its solutions provides insight into the operation of these ion sensors.

MSC codes

  1. 35-01
  2. 35K05
  3. 35C10
  4. 35C15
  5. 35B10

Keywords

  1. chemical sensor
  2. heat equation
  3. half-line
  4. periodic solutions

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References

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Information & Authors

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Published In

cover image SIAM Review
SIAM Review
Pages: 327 - 344
ISSN (online): 1095-7200

History

Published online: 4 August 2006

MSC codes

  1. 35-01
  2. 35K05
  3. 35C10
  4. 35C15
  5. 35B10

Keywords

  1. chemical sensor
  2. heat equation
  3. half-line
  4. periodic solutions

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