scholarly journals The Conservation of Average Entropy Production Rate in a Model of Signal Transduction: Information Thermodynamics Based on the Fluctuation Theorem

Entropy ◽  
2018 ◽  
Vol 20 (4) ◽  
pp. 303 ◽  
Author(s):  
Tatsuaki Tsuruyama
Keyword(s):  
Signal Transduction ◽  
Entropy Production ◽  
Production Rate ◽  
Fluctuation Theorem ◽  
Entropy Production Rate

scholarly journals An information thermodynamic approach quantifying MAPK-related signaling cascades by average entropy production rate

2018 ◽  
Author(s):  
Tatsuaki Tsuruyama
Keyword(s):  
Signal Transduction ◽  
Entropy Production ◽  
Production Rate ◽  
Integrated Analysis ◽  
Entropy Production Rate ◽  
List Type ◽  
Signal Molecule ◽  
Phosphorylation Reaction ◽  
Mitogen Activated Protein ◽  
Novel Method

ABSTRACTInformation thermodynamics has recently greatly developed the application for analysis of biological phenomenon. During the signal transduction, entropy production from phosphorylation of signal molecule is produced at individual step production. Using this value, average entropy production rate (AEPR) is computable.In the current study, AEPR in each signal step was analyzed using experimental data from previously reported studies of the mitogen-activated protein kinases (MAPK) cascade. The result revealed that the differences of AEPR is smaller when using ligands, suggesting that AEPR is one of the attributes of the given cascade and useful for quantitative analysis. This consistency of AEPR suggests that the number of signal events is maximized, in other words, signaling efficiency is maximized. In conclusion, the current information theoretical approach provides not only a quantitative means for comparison of responses to a specified extracellular stimulation, but also a method for evaluation of active cascades.SynopsisA variety of methods for quantifying intracellular signal transduction have been proposed. Herein, a novel method of quantification by integrated analysis consisting of kinetics, non-equilibrium thermodynamics, fluctuation theorem and graph theory was attempted.Signal transduction can be computed by entropy production amount from the fluctuation in the phosphorylation reaction of signaling molecules.By Bayesian analysis of the entropy production rates of individual steps, they are consistent through the signal cascade.

scholarly journals Entropy Production Rate for Avascular Tumor Growth

2011 ◽  
Vol 02 (06) ◽  
pp. 615-620 ◽  
Author(s):  
Elena Izquierdo-Kulich ◽  
Esther Alonso-Becerra ◽  
José M Nieto-Villar
Keyword(s):  
Tumor Growth ◽  
Entropy Production ◽  
Production Rate ◽  
Entropy Production Rate ◽  
Avascular Tumor

scholarly journals Measurement of entropy production rate in compressible turbulence

2006 ◽  
Vol 76 (4) ◽  
pp. 595-601 ◽  
Author(s):  
M. M Bandi ◽  
W. I Goldburg ◽  
J. R Cressman
Keyword(s):  
Entropy Production ◽  
Production Rate ◽  
Compressible Turbulence ◽  
Entropy Production Rate

scholarly journals Between Waves and Diffusion: Paradoxical Entropy Production in an Exceptional Regime

Entropy ◽  
2018 ◽  
Vol 20 (11) ◽  
pp. 881 ◽  
Author(s):  
Karl Hoffmann ◽  
Kathrin Kulmus ◽  
Christopher Essex ◽  
Janett Prehl
Keyword(s):  
Entropy Production ◽  
Production Rate ◽  
Fractional Diffusion ◽  
Diffusion Equations ◽  
Irreversible Processes ◽  
Entropy Production Rate ◽  
Continuous Space ◽  
One Dimensional ◽  
Fractional Diffusion Equations ◽  
And Diffusion

The entropy production rate is a well established measure for the extent of irreversibility in a process. For irreversible processes, one thus usually expects that the entropy production rate approaches zero in the reversible limit. Fractional diffusion equations provide a fascinating testbed for that intuition in that they build a bridge connecting the fully irreversible diffusion equation with the fully reversible wave equation by a one-parameter family of processes. The entropy production paradox describes the very non-intuitive increase of the entropy production rate as that bridge is passed from irreversible diffusion to reversible waves. This paradox has been established for time- and space-fractional diffusion equations on one-dimensional continuous space and for the Shannon, Tsallis and Renyi entropies. After a brief review of the known results, we generalize it to time-fractional diffusion on a finite chain of points described by a fractional master equation.

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