This research work studies the human brain information processing dynamics by transforming the stage model formulated by Atkinson and Shiffrin into two deterministic mathematical models. This makes it more amenable to mathematical analysis. The two models are bottom-up processing mathematical model and top-down processing mathematical model. The bottom-up processing is data driven while the top-down processing is triggered by experience or prior knowledge. Both analytical and numerical methods are used in the analysis of the models. The existence and stability of equilibrium states of the models are investigated, and threshold values of certain parameters of the models arising from the investigation were obtained and interpreted in physical terms. Numerical experiments are also carried out using hypothetical data to further investigate the effect of certain parameters on the human brain information processing process. The results show that attention, repetition and rehearsal play significant roles in learning process. Furthermore, repetition and rehearsal is strongly recommended as an effective way of retaining information. In addition, the instructors should ensure that the students feel physically and psychologically safe in any environment in order to pay adequate attention.
| Published in | American Journal of Applied Mathematics (Volume 3, Issue 5) |
| DOI | 10.11648/j.ajam.20150305.15 |
| Page(s) | 233-242 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2024. Published by Science Publishing Group |
Brain, Information Processing, Bottom-Up, Top-Down, Attention, Automaticity
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APA Style
Shikaa Samuel, Taparki Richard, Ajai John Tyavbee, Aboiyar Terhemen. (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
ACS Style
Shikaa Samuel; Taparki Richard; Ajai John Tyavbee; Aboiyar Terhemen. A Mathematical Model to Study the Human Brain Information Processing Dynamics. Am. J. Appl. Math. 2015, 3(5), 233-242. doi: 10.11648/j.ajam.20150305.15
AMA Style
Shikaa Samuel, Taparki Richard, Ajai John Tyavbee, Aboiyar Terhemen. A Mathematical Model to Study the Human Brain Information Processing Dynamics. Am J Appl Math. 2015;3(5):233-242. doi: 10.11648/j.ajam.20150305.15
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Download@article{10.11648/j.ajam.20150305.15,
author = {Shikaa Samuel and Taparki Richard and Ajai John Tyavbee and Aboiyar Terhemen},
title = {A Mathematical Model to Study the Human Brain Information Processing Dynamics},
journal = {American Journal of Applied Mathematics},
volume = {3},
number = {5},
pages = {233-242},
doi = {10.11648/j.ajam.20150305.15},
url = {https://doi.org/10.11648/j.ajam.20150305.15},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20150305.15},
abstract = {This research work studies the human brain information processing dynamics by transforming the stage model formulated by Atkinson and Shiffrin into two deterministic mathematical models. This makes it more amenable to mathematical analysis. The two models are bottom-up processing mathematical model and top-down processing mathematical model. The bottom-up processing is data driven while the top-down processing is triggered by experience or prior knowledge. Both analytical and numerical methods are used in the analysis of the models. The existence and stability of equilibrium states of the models are investigated, and threshold values of certain parameters of the models arising from the investigation were obtained and interpreted in physical terms. Numerical experiments are also carried out using hypothetical data to further investigate the effect of certain parameters on the human brain information processing process. The results show that attention, repetition and rehearsal play significant roles in learning process. Furthermore, repetition and rehearsal is strongly recommended as an effective way of retaining information. In addition, the instructors should ensure that the students feel physically and psychologically safe in any environment in order to pay adequate attention.},
year = {2015}
}
TY - JOUR T1 - A Mathematical Model to Study the Human Brain Information Processing Dynamics AU - Shikaa Samuel AU - Taparki Richard AU - Ajai John Tyavbee AU - Aboiyar Terhemen Y1 - 2015/09/29 PY - 2015 N1 - https://doi.org/10.11648/j.ajam.20150305.15 DO - 10.11648/j.ajam.20150305.15 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 233 EP - 242 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.20150305.15 AB - This research work studies the human brain information processing dynamics by transforming the stage model formulated by Atkinson and Shiffrin into two deterministic mathematical models. This makes it more amenable to mathematical analysis. The two models are bottom-up processing mathematical model and top-down processing mathematical model. The bottom-up processing is data driven while the top-down processing is triggered by experience or prior knowledge. Both analytical and numerical methods are used in the analysis of the models. The existence and stability of equilibrium states of the models are investigated, and threshold values of certain parameters of the models arising from the investigation were obtained and interpreted in physical terms. Numerical experiments are also carried out using hypothetical data to further investigate the effect of certain parameters on the human brain information processing process. The results show that attention, repetition and rehearsal play significant roles in learning process. Furthermore, repetition and rehearsal is strongly recommended as an effective way of retaining information. In addition, the instructors should ensure that the students feel physically and psychologically safe in any environment in order to pay adequate attention. VL - 3 IS - 5 ER -
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