DOI: 10.1162/neco.1997.9.5.971. Physiological Gain Leads to High ISI Variability in a Simple Model of a Cortical Regular Spiking Cell

Physiological Gain Leads to High ISI Variability in a Simple Model of a Cortical Regular Spiking Cell

10.1162/neco.1997.9.5.971

Crossref journal-article

MIT Press - Journals

Neural Computation (281)

Abstract

To understand the interspike interval (ISI) variability displayed by visual cortical neurons (Softky & Koch, 1993), it is critical to examine the dynamics of their neuronal integration, as well as the variability in their synaptic input current. Most previous models have focused on the latter factor. We match a simple integrate-and-fire model to the experimentally measured integrative properties of cortical regular spiking cells (McCormick, Connors, Lighthall, & Prince, 1985). After setting RC parameters, the postspike voltage reset is set to match experimental measurements of neuronal gain (obtained from in vitro plots of firing frequency versus injected current). Examination of the resulting model leads to an intuitive picture of neuronal integration that unifies the seemingly contradictory [Formula: see text] and random walk pictures that have previously been proposed. When ISIs are dominated by postspike recovery,[Formula: see text] arguments hold and spiking is regular; after the “memory” of the last spike becomes negligible, spike threshold crossing is caused by input variance around a steady state and spiking is Poisson. In integrate-and-fire neurons matched to cortical cell physiology, steady-state behavior is predominant, and ISIs are highly variable at all physiological firing rates and for a wide range of inhibitory and excitatory inputs.

Bibliography

Troyer, T. W., & Miller, K. D. (1997). Physiological Gain Leads to High ISI Variability in a Simple Model of a Cortical Regular Spiking Cell. Neural Computation, 9(5), 971â983.

Authors 2

Todd W. Troyer (first)
Kenneth D. Miller (additional)

References 13 Referenced 205

{'key': 'p_1', 'first-page': '83', 'volume': '18', 'author': 'Abeles M.', 'year': '1982', 'journal-title': 'Israel J. Med. Sci.'} / Israel J. Med. Sci. by Abeles M. (1982)
10.1038/383815a0
10.1016/S0006-3495(64)86768-0
10.1007/BF00158335
10.1152/jn.1996.75.5.1806
10.1152/jn.1985.54.4.782
10.1126/science.8047882
10.1016/0959-4388(94)90059-0
10.1523/JNEUROSCI.13-01-00334.1993
10.1016/S0006-3495(67)86623-2
{'key': 'p_14', 'first-page': '1653', 'volume': '21', 'author': 'Troyer T. W.', 'year': '1995', 'journal-title': 'Soc. Neuro. Abs.'} / Soc. Neuro. Abs. by Troyer T. W. (1995)
10.1162/neco.1994.6.5.795
10.1016/S0022-5193(83)80013-7

Dates

Type	When
Created	19 years, 3 months ago (May 29, 2006, 11:20 a.m.)
Deposited	4 years, 5 months ago (March 12, 2021, 4:34 p.m.)
Indexed	1 month, 4 weeks ago (July 1, 2025, 10:26 p.m.)
Issued	28 years, 2 months ago (July 1, 1997)
Published	28 years, 2 months ago (July 1, 1997)
Published Print	28 years, 2 months ago (July 1, 1997)

Funders 0

None

BibTeX

@article{Troyer_1997, title={Physiological Gain Leads to High ISI Variability in a Simple Model of a Cortical Regular Spiking Cell}, volume={9}, ISSN={1530-888X}, url={http://dx.doi.org/10.1162/neco.1997.9.5.971}, DOI={10.1162/neco.1997.9.5.971}, number={5}, journal={Neural Computation}, publisher={MIT Press - Journals}, author={Troyer, Todd W. and Miller, Kenneth D.}, year={1997}, month=jul, pages={971–983} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        7,
        2
      ]
    ],
    "date-time": "2025-07-02T02:26:45Z",
    "timestamp": 1751423205184
  },
  "reference-count": 13,
  "publisher": "MIT Press - Journals",
  "issue": "5",
  "content-domain": {
    "domain": [],
    "crossmark-restriction": false
  },
  "published-print": {
    "date-parts": [
      [
        1997,
        7,
        1
      ]
    ]
  },
  "abstract": "<jats:p> To understand the interspike interval (ISI) variability displayed by visual cortical neurons (Softky &amp; Koch, 1993), it is critical to examine the dynamics of their neuronal integration, as well as the variability in their synaptic input current. Most previous models have focused on the latter factor. We match a simple integrate-and-fire model to the experimentally measured integrative properties of cortical regular spiking cells (McCormick, Connors, Lighthall, &amp; Prince, 1985). After setting RC parameters, the postspike voltage reset is set to match experimental measurements of neuronal gain (obtained from in vitro plots of firing frequency versus injected current). Examination of the resulting model leads to an intuitive picture of neuronal integration that unifies the seemingly contradictory [Formula: see text] and random walk pictures that have previously been proposed. When ISIs are dominated by postspike recovery,[Formula: see text] arguments hold and spiking is regular; after the \u201cmemory\u201d of the last spike becomes negligible, spike threshold crossing is caused by input variance around a steady state and spiking is Poisson. In integrate-and-fire neurons matched to cortical cell physiology, steady-state behavior is predominant, and ISIs are highly variable at all physiological firing rates and for a wide range of inhibitory and excitatory inputs. </jats:p>",
  "DOI": "10.1162/neco.1997.9.5.971",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2006,
        5,
        29
      ]
    ],
    "date-time": "2006-05-29T15:20:21Z",
    "timestamp": 1148916021000
  },
  "page": "971-983",
  "source": "Crossref",
  "is-referenced-by-count": 205,
  "title": "Physiological Gain Leads to High ISI Variability in a Simple Model of a Cortical Regular Spiking Cell",
  "prefix": "10.1162",
  "volume": "9",
  "author": [
    {
      "given": "Todd W.",
      "family": "Troyer",
      "sequence": "first",
      "affiliation": [
        {
          "name": "Keck Center for Integrative Neuroscience, Department of Physiology, University of California, San Francisco, San Francisco, CA 94143 USA"
        }
      ]
    },
    {
      "given": "Kenneth D.",
      "family": "Miller",
      "sequence": "additional",
      "affiliation": [
        {
          "name": "Keck Center for Integrative Neuroscience and Sloan Center for Theoretical Neurobiology, Departments of Physiology and Otolaryngology, University of California, San Francisco, San Francisco, CA 94143 USA"
        }
      ]
    }
  ],
  "member": "281",
  "reference": [
    {
      "key": "p_1",
      "first-page": "83",
      "volume": "18",
      "author": "Abeles M.",
      "year": "1982",
      "journal-title": "Israel J. Med. Sci."
    },
    {
      "key": "p_3",
      "doi-asserted-by": "publisher",
      "DOI": "10.1038/383815a0"
    },
    {
      "key": "p_5",
      "doi-asserted-by": "publisher",
      "DOI": "10.1016/S0006-3495(64)86768-0"
    },
    {
      "key": "p_6",
      "doi-asserted-by": "publisher",
      "DOI": "10.1007/BF00158335"
    },
    {
      "key": "p_7",
      "doi-asserted-by": "publisher",
      "DOI": "10.1152/jn.1996.75.5.1806"
    },
    {
      "key": "p_8",
      "doi-asserted-by": "publisher",
      "DOI": "10.1152/jn.1985.54.4.782"
    },
    {
      "key": "p_9",
      "doi-asserted-by": "publisher",
      "DOI": "10.1126/science.8047882"
    },
    {
      "key": "p_10",
      "doi-asserted-by": "publisher",
      "DOI": "10.1016/0959-4388(94)90059-0"
    },
    {
      "key": "p_12",
      "doi-asserted-by": "publisher",
      "DOI": "10.1523/JNEUROSCI.13-01-00334.1993"
    },
    {
      "key": "p_13",
      "doi-asserted-by": "publisher",
      "DOI": "10.1016/S0006-3495(67)86623-2"
    },
    {
      "key": "p_14",
      "first-page": "1653",
      "volume": "21",
      "author": "Troyer T. W.",
      "year": "1995",
      "journal-title": "Soc. Neuro. Abs."
    },
    {
      "key": "p_16",
      "doi-asserted-by": "publisher",
      "DOI": "10.1162/neco.1994.6.5.795"
    },
    {
      "key": "p_17",
      "doi-asserted-by": "publisher",
      "DOI": "10.1016/S0022-5193(83)80013-7"
    }
  ],
  "container-title": "Neural Computation",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://www.mitpressjournals.org/doi/pdf/10.1162/neco.1997.9.5.971",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2021,
        3,
        12
      ]
    ],
    "date-time": "2021-03-12T21:34:24Z",
    "timestamp": 1615584864000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://direct.mit.edu/neco/article/9/5/971-983/6100"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1997,
        7,
        1
      ]
    ]
  },
  "references-count": 13,
  "journal-issue": {
    "issue": "5",
    "published-print": {
      "date-parts": [
        [
          1997,
          7,
          1
        ]
      ]
    }
  },
  "alternative-id": [
    "10.1162/neco.1997.9.5.971"
  ],
  "URL": "http://dx.doi.org/10.1162/neco.1997.9.5.971",
  "relation": {},
  "ISSN": [
    "0899-7667",
    "1530-888X"
  ],
  "subject": [],
  "container-title-short": "Neural Computation",
  "published": {
    "date-parts": [
      [
        1997,
        7,
        1
      ]
    ]
  }
}