Given results and discussion, the sequence of stimulus studied has shown different activation of the hippocampus areas which have been in favor of the theory or cortical and subcortical loop for sequence proposed by Savalia and colleagues [9]. Moreover, the present results have reported when a sequence is interrupted by a novel (simultaneously) the subcortical loop with the hippocampus is also activated. This has extended Mugruza-Vassallo and Potter studies of temporal stimulus sequence with EEG [3] to fMRI brain regions and following their analysis and extension of management of novel stimulus modulated by the previous motor answer a model was proposed in Figure 6 solving part of the puzzle proposed by Livnet and Zador [15]. These consistencies make it of interest to explore another experiment to study the EEG results in more detail and combine with the fMRI analysis to seek for the explanation of these partial consistencies.
Bearing in mind eye movement research in response to an auditory experiment has shown results in pupil dilation response [45], the present findings on motor modulation of attentional processing would be extended by a broader motor response. Moreover, the model would modify the Information Dynamics of Thinking (IDyOT) model for language and music of Forth and colleagues [44] may bear in mind previous motor response and unexpected external stimulus. Forth and colleagues proposed a mechanism for predicting when a perceptual event will happen, given an existing sequence of past events, which may be musical or linguistic [44].
Evolutionary multitasking computation [18 ] maybe best based on multi-objective optimization of cortical prefrontal cortex for different incoming stimulus employing stimulus features for objective functions (f) for vectors of decision variables (y) in the search space (Y) following equation 3, considering 4 conditions.
maximize(y∈Y) f(y) = | f1(y) ; f2(y) ; f3(y); f4(y)| (3)
Then for K=4 different tasks (T1, T2, T3, T4) the MOP in terms of the populations would follow equation 3, but bearing in mind the different responses due to previous motor command. In this way fk(y) will depend on the neural processing of previous motor response y(m(nT-T)) and the current motor response y(m(nT)), as seen in (4).
fk(y) = gk,1(y(s)) gk,2(y(m(nT),y(m(nT-T)))) (4)
Also bearing in mind our “inhibition of return” results, they influence on the number of prefrontal areas modulated. Therefore, an additional input would be needed to maximize decision variables going for at least m = {0, 1}, 0 for no motor response and 1 for motor response in (5). This would be valid for 2-oddball tasks (e.g. [57])
4 4
max(y∈Y) Σ ∫ z fk(z) . [ Σ wjk,m(k-1) .pj,m(k-1)(z)].dz (5)
{wjk.pj(z)} k=1 j=1
Therefore we may have f1(y) relying on G condition, as well as f1(y), f2(y) ,f3(y) ,f4(y) relying on G.G, Z.G, N.G and NG.G from equations 6 and 7. The power of analysis (7.a, 7.b, 7.c, 7d) is better than for only one condition (6.a). In (6) prior context would not be reached by almost any ggi,j in particular.
ff1(y) = gg1,1(y(s=G)) gg1,2(y(m(nT),y(m(nT-T)))) (6.a)
ff2(y) = gg1,2(y(s=Z)) ggk,2(y(m(nT),y(m(nT-T)))) (6.b)
ff3(y) = gg1,3(y(s=N)) ggk,2(y(m(nT),y(m(nT-T)))) (6.c)
ff4(y) = gg1,4(y(s=NG)) ggk,2(y(m(nT),y(m(nT-T)))) (6.d)
An example of the power of analysis by ff, we may have Z.G vs G.G and on other hand N.G vs NG.G where the Pulvinar was activated as well employing different parts of the equation (7), where prior context may be considered by ggi,j in particular can account prior context contrasts, being different from inhibition of return, standard stimulus and both different way of novel stimulus.
f1(y) = g1,1(y(s=G.G)) g1,2(y(m(nT),y(m(nT-T)))) (7.a)
f2(y) = g2,1(y(s=Z.G)) g2,2(y(m(nT),y(m(nT-T)))) (7.b)
f3(y) = g3,1(y(s=N.G)) g3,2(y(m(nT),y(m(nT-T)))) (7.c)
f4(y) = g4,1(y(s=NG.G)) g4,2(y(m(nT),y(m(nT-T)))) (7.d)
f5(y) = g5,1(y(s=Z)) g5,2(y(m(nT),y(m(nT-T)))) (7.e)
f6(y) = g6,1(y(s=N)) g6,2(y(m(nT),y(m(nT-T)))) (7.f)
f7(y) = g7,1(y(s=NG)) g7,2(y(m(nT),y(m(nT-T)))) (7.g)
Here (7) would be best according to the results of the condition of the trial immediately prior to the current trial as this fMRI analysis has shown significant results: Z.G vs. G.G, N.G vs. G.G, NG.G vs. Z.G, NG.G vs. G.G, and N.G vs. Z.G. From (7.a-d) contrast difference found may be accounted by contrast(f2(y), f1(y) ) , contrast(f3(y), f1(y) ) , contrast(f4(y), f1(y) ) ,contrast(f3(y), f2(y) ) , contrast(f2(y), f3(y) ) . An extension of this proposal clearly consider features on signals, where features can be stimulus properties as well.
Also, EEG research may use formulation by (7) on findings considering previous and later interventions on videogames on spectral ERP for fortress hits, rare tones (inside and outside the game), and mine appearances [58]. Limitation here is for a variety of complex and non/complex tasks maybe worked [59].
Main limitation for this proposal is to ignore possible conflict when one tends to think about a bad previous response. In the present experiment errors were less than 10% in most of the participants, moreover not difference for having more contextual variable are not accounted by f5(y) (equivalent to ff2(y) ) , f6(y) (equivalent to ff3(y) ) and f7(y) (equivalent to ff4(y) ), of course it is more experiments should be done to account properly how multitask and prior context effects on other conditions. This would open to study motor response with error response in decision-making responses and improve current learning systems in BCI.
This motor response recruiting prefrontal areas would support the idea that the learning modelling of the task has not a linear function influenced by the learning parameter, the greater the maze size for goal-task the more steps to get an optimal pathway [43]. Moreover, the model proposed may help in the future to find compensatory effects in Parkinson’s disease by recruitment of more brain area in the prefrontal cortex and extend not only the present work but also work of Martin and colleagues at planning and executing motor employing different hands might be studied simplifying their experiment with an additional condition of motor planning [46]. In this way dopamine pathway can be revisited, having (7) in frequency may help to study beta frequencies in Parkinson at synchronization of the basal ganglia (BG) and thalamus wit cortex [61] as well as a less studied dopamine interpretation for anemia in children [62]. Impaired motor function would be described as a change con gi,2 (i={1, 2, .., 7) and current treatment experiments such as DOPA-ON and ON-Deep Brain Stimulation where the higher duration the longer beta peaks in patients OFF medication (peak width at half height, 106 ms) compared to controls (peak width, 46 ms) [63].
Limitation for motor response in the present research was about the extension of motor control in the research area of “coordination”. Marsh and colleagues pointed perception-action systems comes to task of ecosystems [64], therefore considering multi-stability for social behavior and multiple participants present in several real setting multitasks [65]. Participants are believed to not only use dopamine pathway to social rewards but also to context dependence in complex environment where new selections are done base on dynamic interaction of task [66]. Although the present work has given a better insight of auditory multitask and motor control, it did not reached a real setting multitask, therefore more work should be done to use multitask in perception-action ecosystems in real world.
Another area of further test may be on multitask switching on dyslexia, considering our results mainly on right Pulvinar which is close to LGN, our experimental results suggest an asymmetry for brain processing. Bearing this result on our auditory number parity decision task, language multitask switch may be explored as well, as LGN asymmetry was reported by proton density with MRI recently by Giraldo-Chilca and Schneider [48]. Moreover, in this study, the different modulation of brain areas in the PFC and its concurrent Pulvinar activation may be related to different “coordination through the pulvinar’s involvement in up-regulating activity” [50]. Therefore, current research would be extended by an experimental design using EEG and fMRI to study PFC and Pulvinar interaction with LGN different frequency bands as a Deep Predictive Learning [51]-[53] as well as TMS has been suggested to improve this understanding in Dyslexia as well [53]. On the other hand a possible extension of the present work may be extending cortical-pulvinar interaction described by Kanai and colleagues [56] in terms of some of the equations developed here, namely (7). Possibly extension of the present experiment for modelling may be used to extend findings on two choice tasks.
Finally, bearing in mind discussion of multitask experiment [3] discussed in use of person identification with reliable decoders [2] and re-identification using different visual views [1] in systems with different interfaces. These interfaces may involve not only EEG but also precise electrodes position inferred or combined with fMRI or fNIRS as occipital images, as the present work suggests. Moreover, prior context in auditory signals has been related to probability is related in auditory judgment with Hidden Markov Models [67] and therefore to attention and decision-making, next step to setup probabilities in the present research is to study parallel judgment as visual 2D, 3D and Augmented reality is been doing recently with Markov chains [68-69]