Integral Equations of Immunology

The inversion of a particular integral equation
of the first (Fredholm) kind is the basic problem 
considered.  The strategy which yielded success consisted
of three essential points: (1) fit the known 
experimental data by a curve with properties which derive
from properties of the (as yet unknown) function; 
(2) stabilize the computation for the unknown function
by using singular value decomposition; (3) constrain 
the unknown function approximation (since it represents
a probability distribution) to be nonnegative. 
 A number of test cases are presented. One set of actual
experimental data is analyzed with the procedures 
presented.

CACM October, 1972

Hanson, R. J.

integral equations of the first kind, nonnegative
constraints, singular value analysis

3.10 5.14 5.18 5.41

CA721003 JB January 27, 1978  3:37 PM

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