Lh. Bernstein et al., Diagnosis of myocardial infarction: Integration of serum markers and clinical descriptors using information theory, YALE J BIOL, 72(1), 1999, pp. 5-13
Objective: We examine the use of information theory applied to a single car
diac troponin T (cTnT) (first generation monoclonal; Boehringer Mannheim Co
rp., Indianapolis, Indiana) used with the character of chest pain, electroc
ardiography (ECG) and serial ECG changes in the evaluation of acute myocard
ial infarction (AMI). We combined a single measure of cTnT (blinded to the
investigators) with a creatine kinase MB isoenzyme (CK-MB) measurement to d
iscover the best decision value for this test in a study of 293 consecutive
patients presenting to the emergency department, with symptoms warranting
exclusion of AMI.
Methods: The decision value for deter-mining whether cTnT is positive or ne
gative tvas determined independently of the final diagnosis by examining th
e information in the cTnT and CKMB data. Using information theory an autoco
rrelation matrix with a one-to-one pairing of the CKMB and troponin T was c
onstructed, The effective information, also known as Kullback entropy, assi
gned the values for troponin T and for CKMB that have the lowest frequency
of misclassification error The kullback entropy is determined by subtractin
g the data entropy from the maximum entropy of the data set in which the in
formation has been destroyed The assignment of the optimum decision values
was made independently of the clinical diagnoses without the construction o
f a receiver-operator characteristic curve (ROC). The final diagnosis of AM
I was independently determined by the clinicians and entered into the medic
al record.
Results. The decision value for cTnT was 0.1 ng/ml as determined by the the
information in the data. The method was validated within the same study by
mapping the results so obtained into the diagnoses obtained independently
by the clinicians using all of the methods at their disposal. The cTnT was
different in AMI (n = 60) compared with non-AMI patients (n = 233) (2.08 +/
- 0.21 vs. 0.07 +/- 0.10; p <.0001).
Conclusion: Information theory provides a strong framework and methodology
for determining the decision value for cTnT which minimizes misclassificati
on errors at 0.1 ng/ml. The result has a strong correlation with other fear
ures in detecting AMI in patients presenting with chest pain.