Mathematical algorithm

A list of differential diagnoses is provided by the database with each set of input data.  The differential diagnoses have an assigned value of profile factor (PF).  The PF value for a neoplasm reflects how well its immunophenotyping pattern matches that of a given case.  In this project, accumulated data from published literature are utilized to enhance the sensitivity and specificity of the differential diagnosis.  The formula for calculating PF is as following:

## PF  :   profile factor for a particular neoplasm

Cn   :   profile coefficient for an input data (0   Cn ≤ 1)

n    = 1 to N

N    :  the number of (not-NULL) attributes of a neoplasm that have input data

The profile coefficient is calculated as:

Cn  = PosRatio(i,j)    if input data is positive (+), and  Cn =NegRatio(i,j)  if input data is negative (-)

The ratio of cases that are positive for a certain marker for a disorder, PosRatio(i,j), is defined as:

## i:                          the i th  disorder

j:                          the j th marker

:        number of cases that are positive for the j th marker for the ith disorder

:              number of cases under study for the j th marker for the ith disorder

The ratio of cases that are negative for a certain marker for a disorder, NegRatio(i,j), is calculated as:

=  1 -