Mathematical model on influence of past experiences on present activities of human brain
This article explores how emotional feelings linked to stored memories of past experiences influence the present activity of the human brain. To analyse this, a mathematical model is considered describing the dynamics in a two-layered network in which the neurons in the first layer are involved in p...
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| Format: | Article |
| Language: | English |
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De Gruyter
2025-04-01
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| Series: | Computational and Mathematical Biophysics |
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| Online Access: | https://doi.org/10.1515/cmb-2025-0024 |
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| author | Rao P. Raja Sekhara Ratnam K. Venkata Shirisha G. |
| author_facet | Rao P. Raja Sekhara Ratnam K. Venkata Shirisha G. |
| author_sort | Rao P. Raja Sekhara |
| collection | DOAJ |
| description | This article explores how emotional feelings linked to stored memories of past experiences influence the present activity of the human brain. To analyse this, a mathematical model is considered describing the dynamics in a two-layered network in which the neurons in the first layer are involved in present activities and are influenced by cells in the second layer that carry the emotional feelings associated with memories of past experiences. Initially, this article establishes sufficient conditions for the stability of a unique equilibrium solution in the system for both constant and time-varying exogenous inputs. This indicates the situation where the present activities are not disturbed by emotions emanated from past memories. Furthermore, it is observed that certain variations in the exogenous inputs can induce oscillations within the system. To manage them, this study suggests the adjustment of specific parameters that could actually control certain fluctuations according to emotional responses to past and current memories. This control aims to stabilize the brain’s current activity, allowing it to reach a balanced state. |
| format | Article |
| id | doaj-art-7af79490a4df4af4a06f3f4cee9474ac |
| institution | OA Journals |
| issn | 2544-7297 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Computational and Mathematical Biophysics |
| spelling | doaj-art-7af79490a4df4af4a06f3f4cee9474ac2025-08-20T02:28:49ZengDe GruyterComputational and Mathematical Biophysics2544-72972025-04-01131pp. 12915710.1515/cmb-2025-0024Mathematical model on influence of past experiences on present activities of human brainRao P. Raja Sekhara0Ratnam K. Venkata1Shirisha G.2Department of Mathematics, Govt. Polytechnic for Minorities, Guntur-522005, A.P., IndiaDepartment of Mathematics, Birla Institute of Technology & Science-Pilani, Hyderabad Campus, Jawahar Nagar, Hyderabad-500078, Telangana, IndiaDepartment of Mathematics, Stanley College of Engineering and Technology for Women, Abids, Hyderabad-500001, Telangana, IndiaThis article explores how emotional feelings linked to stored memories of past experiences influence the present activity of the human brain. To analyse this, a mathematical model is considered describing the dynamics in a two-layered network in which the neurons in the first layer are involved in present activities and are influenced by cells in the second layer that carry the emotional feelings associated with memories of past experiences. Initially, this article establishes sufficient conditions for the stability of a unique equilibrium solution in the system for both constant and time-varying exogenous inputs. This indicates the situation where the present activities are not disturbed by emotions emanated from past memories. Furthermore, it is observed that certain variations in the exogenous inputs can induce oscillations within the system. To manage them, this study suggests the adjustment of specific parameters that could actually control certain fluctuations according to emotional responses to past and current memories. This control aims to stabilize the brain’s current activity, allowing it to reach a balanced state.https://doi.org/10.1515/cmb-2025-0024neural networkstime delaysequilibriaglobal stabilityemotionsmemory34d2334k2092b2093d20 |
| spellingShingle | Rao P. Raja Sekhara Ratnam K. Venkata Shirisha G. Mathematical model on influence of past experiences on present activities of human brain Computational and Mathematical Biophysics neural networks time delays equilibria global stability emotions memory 34d23 34k20 92b20 93d20 |
| title | Mathematical model on influence of past experiences on present activities of human brain |
| title_full | Mathematical model on influence of past experiences on present activities of human brain |
| title_fullStr | Mathematical model on influence of past experiences on present activities of human brain |
| title_full_unstemmed | Mathematical model on influence of past experiences on present activities of human brain |
| title_short | Mathematical model on influence of past experiences on present activities of human brain |
| title_sort | mathematical model on influence of past experiences on present activities of human brain |
| topic | neural networks time delays equilibria global stability emotions memory 34d23 34k20 92b20 93d20 |
| url | https://doi.org/10.1515/cmb-2025-0024 |
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