Impact of Hill coefficient and time delay on a perceptual decision-making model
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913911339483136 |
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| author | Morawski, Bartłomiej Czartoszewska, Anna |
| author_facet | Morawski, Bartłomiej Czartoszewska, Anna |
| contents | In this paper, a neural mass perceptual decision making model introduced by Piskała et al. is analyzed. The model describes activity of two neuron populations influenced by each other and external inputs. The groups' activities correspond to the process of making a perceptual binary decision. Existing results are generalized by investigating the impact of both a delay in self-inhibition and a generic Hill coefficient on solutions to the system of differential equations. Several versions of the model with various assumptions are compared using analytical and numerical methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_19853 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Impact of Hill coefficient and time delay on a perceptual decision-making model Morawski, Bartłomiej Czartoszewska, Anna Neurons and Cognition Dynamical Systems 34K60, 34C60 (Primary) 92B05, 92C20 (Secondary) In this paper, a neural mass perceptual decision making model introduced by Piskała et al. is analyzed. The model describes activity of two neuron populations influenced by each other and external inputs. The groups' activities correspond to the process of making a perceptual binary decision. Existing results are generalized by investigating the impact of both a delay in self-inhibition and a generic Hill coefficient on solutions to the system of differential equations. Several versions of the model with various assumptions are compared using analytical and numerical methods. |
| title | Impact of Hill coefficient and time delay on a perceptual decision-making model |
| topic | Neurons and Cognition Dynamical Systems 34K60, 34C60 (Primary) 92B05, 92C20 (Secondary) |
| url | https://arxiv.org/abs/2506.19853 |