Bayesian inference for biophysical neuron models enables stimulus optimization for retinal neuroprosthetics

  1. Jonathan Oesterle
  2. Christian Behrens
  3. Cornelius Schröder
  4. Thoralf Hermann
  5. Thomas Euler
  6. Katrin Franke
  7. Robert G Smith
  8. Günther Zeck
  9. Philipp Berens  Is a corresponding author
  1. University of Tübingen, Germany
  2. The Natural and Medical Sciences Institute, Germany
  3. University of Pennsylvania, United States

Abstract

While multicompartment models have long been used to study the biophysics of neurons, it is still challenging to infer the parameters of such models from data including uncertainty estimates. Here, we performed Bayesian inference for the parameters of detailed neuron models of a photoreceptor and an OFF- and an ON-cone bipolar cell from the mouse retina based on two-photon imaging data. We obtained multivariate posterior distributions specifying plausible parameter ranges consistent with the data and allowing to identify parameters poorly constrained by the data. To demonstrate the potential of such mechanistic data-driven neuron models, we created a simulation environment for external electrical stimulation of the retina and optimized stimulus waveforms to target OFF- and ON-cone bipolar cells, a current major problem of retinal neuroprosthetics.

Data availability

All code and data will be made available upon publication on https://github.com/berenslab.

Article and author information

Author details

  1. Jonathan Oesterle

    Institute for Ophthalmic Research, University of Tübingen, Tübingen, Germany
    Competing interests
    The authors declare that no competing interests exist.
  2. Christian Behrens

    Institute for Ophthalmic Research, University of Tübingen, Tübingen, Germany
    Competing interests
    The authors declare that no competing interests exist.
    ORCID icon "This ORCID iD identifies the author of this article:" 0000-0003-3623-352X
  3. Cornelius Schröder

    Institute for Ophthalmic Research, University of Tübingen, Tübingen, Germany
    Competing interests
    The authors declare that no competing interests exist.
  4. Thoralf Hermann

    Neurophysics group, The Natural and Medical Sciences Institute, Reutlingen, Germany
    Competing interests
    The authors declare that no competing interests exist.
  5. Thomas Euler

    Institute for Ophthalmic Research, University of Tübingen, Tübingen, Germany
    Competing interests
    The authors declare that no competing interests exist.
    ORCID icon "This ORCID iD identifies the author of this article:" 0000-0002-4567-6966
  6. Katrin Franke

    Institute for Ophthalmic Research, University of Tübingen, Tübingen, Germany
    Competing interests
    The authors declare that no competing interests exist.
  7. Robert G Smith

    Department of Neuroscience, University of Pennsylvania, Philadelphia, United States
    Competing interests
    The authors declare that no competing interests exist.
  8. Günther Zeck

    Neurophysics group, The Natural and Medical Sciences Institute, Reutlingen, Germany
    Competing interests
    The authors declare that no competing interests exist.
    ORCID icon "This ORCID iD identifies the author of this article:" 0000-0003-3998-9883
  9. Philipp Berens

    Institute for Ophthalmic Research, University of Tübingen, Tübingen, Germany
    For correspondence
    philipp.berens@uni-tuebingen.de
    Competing interests
    The authors declare that no competing interests exist.
    ORCID icon "This ORCID iD identifies the author of this article:" 0000-0002-0199-4727

Funding

Bundesministerium für Bildung und Forschung (01GQ1601)

  • Philipp Berens

Bundesministerium für Bildung und Forschung (01IS18052)

  • Philipp Berens

Deutsche Forschungsgemeinschaft (EXC 2064 - 390727645)

  • Philipp Berens

Deutsche Forschungsgemeinschaft (BE5601/4-1)

  • Philipp Berens

Baden-Württemberg Stiftung (NEU013)

  • Günther Zeck
  • Philipp Berens

National Institutes of Health (EY022070)

  • Robert G Smith

National Institutes of Health (EY023766)

  • Robert G Smith

The funders had no role in study design, data collection and interpretation, or the decision to submit the work for publication.

Ethics

Animal experimentation: All animal procedures were approved by the governmental review board (Regierungspräsidium Tübingen, Baden-Württemberg, Konrad-Adenauer-Str. 20, 72072 Tübingen, Germany) and performed according to the laws governing animal experimentation issued by the German Government.All procedures were approved by the governmental review board (Regierungspräsidium Tübingen, Baden-Württemberg, Konrad-Adenauer-Str. 20, 72072 Tübingen, Germany, AZ 35/9185.82-7) and performed according to the laws governing animal experimentation issued by the German Government.

Copyright

© 2020, Oesterle et al.

This article is distributed under the terms of the Creative Commons Attribution License permitting unrestricted use and redistribution provided that the original author and source are credited.

Metrics

  • 1,953
    views
  • 309
    downloads
  • 18
    citations

Views, downloads and citations are aggregated across all versions of this paper published by eLife.

Download links

A two-part list of links to download the article, or parts of the article, in various formats.

Downloads (link to download the article as PDF)

Open citations (links to open the citations from this article in various online reference manager services)

Cite this article (links to download the citations from this article in formats compatible with various reference manager tools)

  1. Jonathan Oesterle
  2. Christian Behrens
  3. Cornelius Schröder
  4. Thoralf Hermann
  5. Thomas Euler
  6. Katrin Franke
  7. Robert G Smith
  8. Günther Zeck
  9. Philipp Berens
(2020)
Bayesian inference for biophysical neuron models enables stimulus optimization for retinal neuroprosthetics
eLife 9:e54997.
https://doi.org/10.7554/eLife.54997

Share this article

https://doi.org/10.7554/eLife.54997

Further reading

    1. Computational and Systems Biology
    2. Neuroscience
    Pedro J Gonçalves, Jan-Matthis Lueckmann ... Jakob H Macke
    Research Article Updated

    Mechanistic modeling in neuroscience aims to explain observed phenomena in terms of underlying causes. However, determining which model parameters agree with complex and stochastic neural data presents a significant challenge. We address this challenge with a machine learning tool which uses deep neural density estimators—trained using model simulations—to carry out Bayesian inference and retrieve the full space of parameters compatible with raw data or selected data features. Our method is scalable in parameters and data features and can rapidly analyze new data after initial training. We demonstrate the power and flexibility of our approach on receptive fields, ion channels, and Hodgkin–Huxley models. We also characterize the space of circuit configurations giving rise to rhythmic activity in the crustacean stomatogastric ganglion, and use these results to derive hypotheses for underlying compensation mechanisms. Our approach will help close the gap between data-driven and theory-driven models of neural dynamics.

    1. Computational and Systems Biology
    Masaaki Uematsu, Jeremy M Baskin
    Tools and Resources

    Plasmid construction is central to life science research, and sequence verification is arguably its costliest step. Long-read sequencing has emerged as a competitor to Sanger sequencing, with the principal benefit that whole plasmids can be sequenced in a single run. Nevertheless, the current cost of nanopore sequencing is still prohibitive for routine sequencing during plasmid construction. We develop a computational approach termed Simple Algorithm for Very Efficient Multiplexing of Oxford Nanopore Experiments for You (SAVEMONEY) that guides researchers to mix multiple plasmids and subsequently computationally de-mixes the resultant sequences. SAVEMONEY defines optimal mixtures in a pre-survey step, and following sequencing, executes a post-analysis workflow involving sequence classification, alignment, and consensus determination. By using Bayesian analysis with prior probability of expected plasmid construction error rate, high-confidence sequences can be obtained for each plasmid in the mixture. Plasmids differing by as little as two bases can be mixed as a single sample for nanopore sequencing, and routine multiplexing of even six plasmids per 180 reads can still maintain high accuracy of consensus sequencing. SAVEMONEY should further democratize whole-plasmid sequencing by nanopore and related technologies, driving down the effective cost of whole-plasmid sequencing to lower than that of a single Sanger sequencing run.