Info

A measure of the information transmitted is

When qtj = qh for i ^ j, the log term is zero; no information about St is transmitted.

The channel capacity (C) is then defined as the maximum of I(S,D) over all possible values of the n's. For a noise-free system, this maximum occurs when all signals are equally likely (i.e., C = log2k). In the2 x 2 case, C = 1 bit; in general, for biological systems, C = I(S,D), because the TCi's are fixed by nature. Table 2 shows the maximum amount of information possible for the case where n = (1 - n1)/(k - 1) for the abnormal signals. If the biologist has some idea of the prevalence of the signal of interest, this table can give some idea of how feasible (futile) searching for biomarkers might be. This table shows that when several relatively rare signals are being sent via the same channel, very little information is available even in the best of conditions. Table 3 is a slightly different way of looking at the same question. These are the values in Table 2 divided by log2k. Similar theory is available when S and

TABLE 3 Biological Communication Efficiency (%) by the Number of Possible Signals Transmitted and the Probability of an Abnormal Signal Being Sent

Probability of an Abnormal Signal (1 - %)

TABLE 3 Biological Communication Efficiency (%) by the Number of Possible Signals Transmitted and the Probability of an Abnormal Signal Being Sent

Probability of an Abnormal Signal (1 - %)

Signals (k)

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Project Management Made Easy

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