Before revision:  As a result, the information could be quantitatively calculated using Tsallis q-statistics. This mathematically formulating provides a general quantitative viewpoint of biological cellular signaling suitable to evaluate redundancies in actual signaling cascades .
After revision:  As a result, we obtained a simple relational expression between code length and code appearance probability and, additionally, a generalized formula of the channel capacity on the basis of Tsallis entropy statistics. This theoretical framework may contribute to data processing techniques and other applications .