In the usual situation, a model is constructed, and coefficients are adjusted until the predicted response to a known stimulus agrees with the observed response to the same stimulus in the real situation. Then the model can be used to predict the response to other stimuli. The reverse situation, while it is of practical importance, has not received much attention. This is the problem of finding the stimulus which would produce an observed response. A published attempt to solve this problem contains a fundamental error. The LaPlace transform method is shown to be applicable, but it is difficult to implement. The recommended solution is a digital computer program which compares the response predicted by a model with the observed response, and corrects the input until there is agreement between the two. This program is described, with examples of its use.
Proceedings of the Iowa Academy of Science
© Copyright 1973 by the Iowa Academy of Science, Inc.
Osburn, James O.
"Biological Modeling: A Program to Calculate the Input from Observations on the Output,"
Proceedings of the Iowa Academy of Science: Vol. 80:
, Article 15.
Available at: http://scholarworks.uni.edu/pias/vol80/iss2/15