How do pulsed amperometric ion sensors work? A simple PDE model

被引:16
作者
Bakker, E [1 ]
Meir, AJ
机构
[1] Auburn Univ, Dept Chem, Auburn, AL 36849 USA
[2] Auburn Univ, Dept Math, Auburn, AL 36849 USA
关键词
chemical sensor; heat equation; half-line; periodic solutions;
D O I
10.1137/S00361445003771
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页码:327 / 344
页数:18
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