Entropy in Biochemical Failure

Abstract

The ab-initio determination of the thermodynamic properties of the hydrolysis of the GTP gamma-phosphate in normal and abnormal cell functions of the RAS protein mutant Thr (Q61) leads to a description of energy cycle deviations in the abnormal mitogen-activated protein kinase cascade. 1 A predictive non-equilibrium probability statement describing the nonlinear changes for these open and finite-lifetime systems follows from reasonable enthalpy and entropy values between the normal and mutated forms based on structures of the GTPase states at the allosteric site. Recent advances in understanding entropy in terms of asymmetric and highly entropic catalysis lead to an investigation of the GTPase entropy, specifically with regard to a failure in catalysis of the phosphate fragment by a water hydrogen positioned by the enzyme. 2 Utilizing a simple atomic metal catalyst surface displacement model, a paradigm that reduces noise from the quantum entanglement plus atomic displacement terms results in the process entropy. The evaluation of entropies within the mixed ionic, covalent and entangled system requires a nonlinear Markovian approach utilizing von Neumann entropies achieved by a systematic accumulation of entangled potentials in a step-wise method. 3 , 4 Determination of the Hamiltonian for the entangled atomic state includes pure and mixed quantum states solved within the Araki–Leib triangle boundary resulting in only hard-entangled states, and the entanglement of Coulombic and Laughlin-like states can be evaluated by slicing the Hilbert spaces and solving the pure states, or mixed states separately, and then summing them. 5 Incorporating the resulting entanglement potentials as well as the Coulombic atomic displacement states into a derivative of the Fokker–Planck equation results in generated and produced entropy. 6