Mathematical analysis and modeling of fractional order human brain information dynamics including the major effect on sensory memory

Figures & data

Figure 1. Simulation of the Brain Information dynamics model with different fractional order values at dimension 1 for case 1.

Figure 2. Simulation of the Brain Information dynamics model with different fractional order values at dimension 0.5 for case 1.

Figure 3. Simulation of the Brain Information dynamics model with different fractional order values at dimension 1 for case 2.

Figure 4. Simulation of the Brain Information dynamics model with different fractional order values at dimension 0.5 for case 2.

Figure 5. Simulation of the Brain Information dynamics model with different fractional order values at dimension 1 for case 1.

Figure 6. Simulation of the Brain Information dynamics model with different fractional order values at dimension 0.5 for case 1.

Figure 7. Simulation of the Brain Information dynamics model with different fractional order values at dimension 1 for case 2.

Figure 8. Simulation of the Brain Information dynamics model with different fractional order values at dimension 0.5 for case 2.

Figure 9. Chaotic modeling of Brain Information dynamics model for case 1 bounded to feasible region.

Figure 10. Chaotic modeling of Brain Information dynamics model for case 2 bounded to feasible region.

Figure 11. Chaotic modeling of Brain Information dynamics model for case 1 bounded to feasible region.

Figure 12. Chaotic modeling of Brain Information dynamics model for case 2 bounded to feasible region.

Table 1. Parameter values.

Parameter	Value	Units	Source
d1 = d2	0.5	$\mathit{\text{tim}}{e}^{-1}$	(Samuel et al., 2015)
e	0.4	$\mathit{\text{tim}}{e}^{-1}$	(Samuel et al., 2015)
a	0.2	$\mathit{\text{tim}}{e}^{-1}$	(Samuel et al., 2015)
p	0.25	$\mathit{\text{tim}}{e}^{-1}$	(Samuel et al., 2015)
f	0.3	$\mathit{\text{tim}}{e}^{-1}$	(Samuel et al., 2015)
w	0.4	$\mathit{\text{tim}}{e}^{-1}$	(Samuel et al., 2015)
k	0.5	$\mathit{\text{tim}}{e}^{-1}$	(Samuel et al., 2015)
u	0.2	$\mathit{\text{tim}}{e}^{-1}$	Estimated
v	0.1	$\mathit{\text{tim}}{e}^{-1}$	Estimated

Values used from literature are mentioned and cites, Some estimated values are assumed / fitting according to proposed model.

Samuel, S., Richard, T., Tyavbee, A. J., & Terhemen, A. (2015). A mathematical model to study the human brain information processing dynamics. American Journal of Applied Mathematics, 3(5), 233–242. https://doi.org/10.11648/j.ajam.20150305.15

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