Modeling the tonotopic map using a two-dimensional array of neural oscillators
We present a model of a tonotopic map known as the Oscillatory Tonotopic Self-Organizing Map (OTSOM). It is a 2-dimensional, self-organizing array of Hopf oscillators, capable of performing a Fourier-like decomposition of the input signal. While the rows in the map encode the input phase, the column...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2022-08-01
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| Series: | Frontiers in Computational Neuroscience |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fncom.2022.909058/full |
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| author | Dipayan Biswas V. Srinivasa Chakravarthy Asit Tarsode Asit Tarsode |
| author_facet | Dipayan Biswas V. Srinivasa Chakravarthy Asit Tarsode Asit Tarsode |
| author_sort | Dipayan Biswas |
| collection | DOAJ |
| description | We present a model of a tonotopic map known as the Oscillatory Tonotopic Self-Organizing Map (OTSOM). It is a 2-dimensional, self-organizing array of Hopf oscillators, capable of performing a Fourier-like decomposition of the input signal. While the rows in the map encode the input phase, the columns encode frequency. Although Hopf oscillators exhibit resonance to a sinusoidal signal when there is a frequency match, there is no obvious way to also achieve phase tuning. We propose a simple method by which a pair of Hopf oscillators, unilaterally coupled through a coupling scheme termed as modified power coupling, can exhibit tuning to the phase offset of sinusoidal forcing input. The training of OTSOM is performed in 2 stages: while the frequency tuning is adapted in Stage 1, phase tuning is adapted in Stage 2. Earlier tonotopic map models have modeled frequency as an abstract parameter unconnected to any oscillation. By contrast, in OTSOM, frequency tuning emerges as a natural outcome of an underlying resonant process. The OTSOM model can possibly be regarded as an approximation of the tonotopic map found in the primary auditory cortices of mammals, particularly exemplified in the studies of echolocating bats. |
| first_indexed | 2024-04-14T03:08:27Z |
| format | Article |
| id | doaj.art-90e6c99212be4bb0a342c5577f2891ee |
| institution | Directory Open Access Journal |
| issn | 1662-5188 |
| language | English |
| last_indexed | 2024-04-14T03:08:27Z |
| publishDate | 2022-08-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Computational Neuroscience |
| spelling | doaj.art-90e6c99212be4bb0a342c5577f2891ee2022-12-22T02:15:39ZengFrontiers Media S.A.Frontiers in Computational Neuroscience1662-51882022-08-011610.3389/fncom.2022.909058909058Modeling the tonotopic map using a two-dimensional array of neural oscillatorsDipayan Biswas0V. Srinivasa Chakravarthy1Asit Tarsode2Asit Tarsode3Laboratory for Computational Neuroscience, Department of Biotechnology, Bhupat and Jyoti Mehta School of Biosciences, Indian Institute of Technology Madras, Chennai, IndiaLaboratory for Computational Neuroscience, Department of Biotechnology, Bhupat and Jyoti Mehta School of Biosciences, Indian Institute of Technology Madras, Chennai, IndiaLaboratory for Computational Neuroscience, Department of Biotechnology, Bhupat and Jyoti Mehta School of Biosciences, Indian Institute of Technology Madras, Chennai, IndiaDepartment of Mechanical Engineering, Indian Institute of Technology Madras, Chennai, IndiaWe present a model of a tonotopic map known as the Oscillatory Tonotopic Self-Organizing Map (OTSOM). It is a 2-dimensional, self-organizing array of Hopf oscillators, capable of performing a Fourier-like decomposition of the input signal. While the rows in the map encode the input phase, the columns encode frequency. Although Hopf oscillators exhibit resonance to a sinusoidal signal when there is a frequency match, there is no obvious way to also achieve phase tuning. We propose a simple method by which a pair of Hopf oscillators, unilaterally coupled through a coupling scheme termed as modified power coupling, can exhibit tuning to the phase offset of sinusoidal forcing input. The training of OTSOM is performed in 2 stages: while the frequency tuning is adapted in Stage 1, phase tuning is adapted in Stage 2. Earlier tonotopic map models have modeled frequency as an abstract parameter unconnected to any oscillation. By contrast, in OTSOM, frequency tuning emerges as a natural outcome of an underlying resonant process. The OTSOM model can possibly be regarded as an approximation of the tonotopic map found in the primary auditory cortices of mammals, particularly exemplified in the studies of echolocating bats.https://www.frontiersin.org/articles/10.3389/fncom.2022.909058/fullself-organizing maptonotopymodified power couplinginterferenceresonanceHopf oscillator |
| spellingShingle | Dipayan Biswas V. Srinivasa Chakravarthy Asit Tarsode Asit Tarsode Modeling the tonotopic map using a two-dimensional array of neural oscillators Frontiers in Computational Neuroscience self-organizing map tonotopy modified power coupling interference resonance Hopf oscillator |
| title | Modeling the tonotopic map using a two-dimensional array of neural oscillators |
| title_full | Modeling the tonotopic map using a two-dimensional array of neural oscillators |
| title_fullStr | Modeling the tonotopic map using a two-dimensional array of neural oscillators |
| title_full_unstemmed | Modeling the tonotopic map using a two-dimensional array of neural oscillators |
| title_short | Modeling the tonotopic map using a two-dimensional array of neural oscillators |
| title_sort | modeling the tonotopic map using a two dimensional array of neural oscillators |
| topic | self-organizing map tonotopy modified power coupling interference resonance Hopf oscillator |
| url | https://www.frontiersin.org/articles/10.3389/fncom.2022.909058/full |
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