Table 7.

Determination of the quantum-SAR, see Equation (10) with Eqs. (6) and (7), associate with certain couple of molecules involved in activating specific structural quantum indices (or their combinations) driving spectral paths of Table 4, by employing minimum residue recipe throughout Table 5 for each considered endpoint, as well as the associate recorded bioactivity differences of Table 2, respectively.

Path	$\Delta Y_{l|l^{\prime }}^{PATH}$ (IEND)#	$\Delta A_{i|j}^{l|l^{\prime }}$ (IEMAD)♣	$q_{i|j}^{l|l^{\prime };PATH*}$*	qPATH
α	$\Delta Y_{Ic|IIb}^{\alpha }=0.00364573$	$A_{12|12}^{Ic|IIb}=0$	$q_{12|12}^{Ic|IIb;\alpha }=0.991641$	qα =0.125464
	$\Delta Y_{IIb|III}^{\alpha }=0.137836$	$A_{12|3}^{IIb|III}=-0.76$	$q_{12|3}^{IIb|III;\alpha }=0.126521$
β	$\Delta Y_{Ib|IIa}^{\beta }=0.0000989324$	$A_{13|13}^{Ib|IIa}=0$	$q_{13|13}^{Ib|IIa;\beta }=0.999772$	qβ=0.0848036
	$\Delta Y_{IIa|III}^{\beta }=0.161487$	$A_{13|3}^{IIa|III}=-0.91$	$q_{13|3}^{IIa|III;\beta }=0.0848229$
γ	$\Delta Y_{Ia|IIc}^{\gamma }=0.0542592$	$A_{13|8}^{Ia|IIc}=-0.55$	$q_{13|8}^{Ia|IIc;\gamma }=0.248737$	qγ =0.0847168
	$\Delta Y_{IIc|III}^{\gamma }=0.107771$	$A_{8|3}^{IIc|III}=-0.36$	$q_{8|3}^{IIc|III;\gamma }=0.340588$

^#Inter-Endpoint Norm Difference, Equation (6);

^♣Inter-Endpoint Molecular Activity Difference, Equation (7);

^*Note that here the basic relation of Equation (10) was considered in decimal base since originally, the associated activities in Table 1 were as such defined.