Among these, it is well known that most NNRTIs have a low genetic barrier to resistance, =?+? +?stands for the computed activity, not the observed activity, from the statistical characteristics of the present approach; thus the validation of Equation (1) should be done for another (preferably external or testing) set of compounds with which the predictive power of Equation (1) is tested. Because the right side of Equation (1) unfolds as a linear summation of the structural characteristics, it corresponds in fact with the quantum superposition principle, which provides a global Eigen-solution for a quantum system from its particular realization in orthogonal or projective sub-space; from where the need arises for structural indices to be either linearly independent or orthogonal in algebraic space built from their associate vectors presented in Table 1. Table 1 The QSAR working table for Equation (1) in the presence of M-structural descriptors for ((variables through stable singularities of the smooth Glyoxalase I inhibitor map [34,35] (of the system. immunodeficiency virus type 1 HIV-1 inhibition. The best molecules are characterized by hydrophobic interactions with the HIV-1 p66 subunit protein, and they concur with those identified in other 3D-QSAR analyses. Moreover, the importance of aromatic ring stacking interactions for increasing the binding affinity of the inhibitor-reverse transcriptase ligand-substrate complex is highlighted. and having the major consequence of translating the ontological entities into computer language [3]. Following this line of application, Jungian psychology entered the topological approach phase through modeling personal unconscious and conscious states using the swallowtail catastrophe [4]. As a consequence, neuro-self-organization was advanced by reduction to cusp synergetics as an archetypal precursor of epileptic seizures [5]. Nevertheless, in chemistry the catastrophe approach enters through the need to unitarily characterize elementary processes such as chemical bonding, leading to the so-called bonding evolution theory and reformulation of the electronic localization functions [6,7]. In the last decade, catastrophe theory was successfully grounded on Hilbert space modeling with the density matrix and non-linear evolution as specific tools for the non-commutative (quantum) systems [8]. At this point, the interesting connection with the linear superposition of quantum states may be generalized in a non-linear manner with direct correspondence for widespread quantitative structure-activity relationship (QSAR) treatments of the birth and death of an organism. In this context, the present contribution provides assistance to clinical efforts in current Glyoxalase I inhibitor antiretroviral therapy by contributing to the development of a given class of actual anti-HIV-1 compounds and identifying their viral inhibitory mechanisms Glyoxalase I inhibitor and influential structural factors. Continuous efforts both in theory and in clinical practice are made to provide new and valid data for HIV infection management. Note that acquired immunodeficiency deficiency syndrome (AIDS) was first recognized in 1981. Only 25 compounds have been approved for use in HIV infected patients, and they are distributed among several classes of antiretroviral drug types [9,10]: nucleoside reverse transcriptase inhibitors (NRTIs); nucleotide reverse transcriptase inhibitors (NtRTIs); non-nucleoside reverse transcriptase inhibitors (NNRTIs); protease inhibitors (PIs); cell entry (or fusion) inhibitors (FIs); co-receptor inhibitors (CRIs); and integrase inhibitors (INIs). Among these, it is well known that most NNRTIs have a low genetic barrier to resistance, =?+? +?stands for the computed activity, not the observed activity, from the statistical characteristics of the present approach; thus the validation of Equation (1) should be done for another (preferably external or testing) set of compounds with which the predictive power of Equation (1) is tested. Because the right side of Equation (1) unfolds as a linear summation of the structural characteristics, it corresponds in fact with the quantum superposition principle, which provides a global Eigen-solution for TIMP2 a quantum system from its particular realization in orthogonal or projective sub-space; from where the need arises for structural indices to be either linearly independent or orthogonal in algebraic space built from their associate vectors presented in Table 1. Table 1 The QSAR working table for Equation (1) in the presence of M-structural descriptors for ((variables through stable singularities of the smooth map [34,35] (of the system. Therefore, catastrophes are given by the set of (=?{( (also called the (also called the + + + + + of the critical point. It is clear now that small perturbations of + regime (the so-called (of the interaction. The correlation models involved are ordered according to their relative statistical power within the same molecular mechanism, thereby providing the of the QSAR and catastrophe models relative statistics of Table 6 employing Equation (12); note that for the degenerate models of Table 6 that one is employed that displays higher relative statistical power ( ). of the QSAR and catastrophe models relative statistics of Table 5 employing Equation (12). between the single-structure matrices of the Euclidean distances in Table 7. -?by the equilibrium constant which parallels the recorded activity at thermodynamic level [24]; it nevertheless expands the Gibbs free energy from the hydrogen to covalent bonding strength [45]; PO: It is expected that the natural direction of evolution of any system is towards a state of minimum polarizability [47], while accounting for the dipolar interaction [45]; Activity Models: Represent the same chemical-biological process providing their differences with.