Accepted Abstract


The Planck-Shannon plot: A novel method for discovering "hypermetabolic pathways" as potential biomarkers for anti-cancer drugs.
Ji, S., Rutgers University, Piscataway, USA

The Planckian Distribution Equation (PDE) was derived at Rutgers in 2008 from the blackbody radiation equation (BRE) discovered by M. Plank in 1900 [1, 2, 3].  PDE replaces the universal constants and temperature in BRE with free parameters, A, B and C, resulting in y = A/(x + B)^5/(e^(C/(x + B)) – 1). Two kinds of information can be defined based on PDE [4]: Plankian information of the first kind (IPF) and  Plankian information of the second kind (IPS).  PDE also allows us to calculate the associated Shannon entropy as H = - \Sigma (pi log2 pi). We have analyzed the mRNA levels of 10 metabolic pathways measured from human breast tissues using microarrays [5]. These data sets all fitted PDE, generating 10 each of the I_PS and H values which are plotted in the upper left panel in Figure 1.  A similar analysis was carried out on a set of 10 arbitrarily selected mRNA data of unknown biological function (see the upper right panel in Figure 1). Only the 10 sets of mRNA data with known metabolic functions are linearly correlated and the other 10 sets of unknown mRNA’s are distributed randomly in the Planck-Shannon space, indicating that the Planck-Shannon plot is able to identify functionally related set of metabolic pathways.
The lower panels of Figure 1 display the results of analyzing the 5 sets of the mRNA levels of the hypothetical protein measured from 5 breast cancer patients. The drug treatment increased the correlation coefficient of the Planck-Shannon plot from 0.390 to 0.791,  indicating that the hypothetical protein may have been implicated in the doxorubicin-induced increase in the longevity of the 5 breast cancer patients.   Thus, the hypothetical protein may serve as a biomarker for discovering anti-breast cancer drugs when its mRNA levels are analyzed utilizing the Planck-Shannon plot.

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Advanced Structural Biology 2018

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