---
_id: '10939'
abstract:
- lang: eng
  text: Understanding and characterising biochemical processes inside single cells
    requires experimental platforms that allow one to perturb and observe the dynamics
    of such processes as well as computational methods to build and parameterise models
    from the collected data. Recent progress with experimental platforms and optogenetics
    has made it possible to expose each cell in an experiment to an individualised
    input and automatically record cellular responses over days with fine time resolution.
    However, methods to infer parameters of stochastic kinetic models from single-cell
    longitudinal data have generally been developed under the assumption that experimental
    data is sparse and that responses of cells to at most a few different input perturbations
    can be observed. Here, we investigate and compare different approaches for calculating
    parameter likelihoods of single-cell longitudinal data based on approximations
    of the chemical master equation (CME) with a particular focus on coupling the
    linear noise approximation (LNA) or moment closure methods to a Kalman filter.
    We show that, as long as cells are measured sufficiently frequently, coupling
    the LNA to a Kalman filter allows one to accurately approximate likelihoods and
    to infer model parameters from data even in cases where the LNA provides poor
    approximations of the CME. Furthermore, the computational cost of filtering-based
    iterative likelihood evaluation scales advantageously in the number of measurement
    times and different input perturbations and is thus ideally suited for data obtained
    from modern experimental platforms. To demonstrate the practical usefulness of
    these results, we perform an experiment in which single cells, equipped with an
    optogenetic gene expression system, are exposed to various different light-input
    sequences and measured at several hundred time points and use parameter inference
    based on iterative likelihood evaluation to parameterise a stochastic model of
    the system.
acknowledgement: We thank Virgile Andreani for useful discussions about the model
  and parameter inference. We thank Johan Paulsson and Jeffrey J Tabor for kind gifts
  of plasmids. R was supported by the ANR grant CyberCircuits (ANR-18-CE91-0002).
  The funders had no role in study design, data collection and analysis, decision
  to publish, or preparation of the manuscript.
article_number: e1009950
article_processing_charge: No
article_type: original
author:
- first_name: Anđela
  full_name: Davidović, Anđela
  last_name: Davidović
- first_name: Remy P
  full_name: Chait, Remy P
  id: 3464AE84-F248-11E8-B48F-1D18A9856A87
  last_name: Chait
  orcid: 0000-0003-0876-3187
- first_name: Gregory
  full_name: Batt, Gregory
  last_name: Batt
- first_name: Jakob
  full_name: Ruess, Jakob
  id: 4A245D00-F248-11E8-B48F-1D18A9856A87
  last_name: Ruess
  orcid: 0000-0003-1615-3282
citation:
  ama: Davidović A, Chait RP, Batt G, Ruess J. Parameter inference for stochastic
    biochemical models from perturbation experiments parallelised at the single cell
    level. <i>PLoS Computational Biology</i>. 2022;18(3). doi:<a href="https://doi.org/10.1371/journal.pcbi.1009950">10.1371/journal.pcbi.1009950</a>
  apa: Davidović, A., Chait, R. P., Batt, G., &#38; Ruess, J. (2022). Parameter inference
    for stochastic biochemical models from perturbation experiments parallelised at
    the single cell level. <i>PLoS Computational Biology</i>. Public Library of Science.
    <a href="https://doi.org/10.1371/journal.pcbi.1009950">https://doi.org/10.1371/journal.pcbi.1009950</a>
  chicago: Davidović, Anđela, Remy P Chait, Gregory Batt, and Jakob Ruess. “Parameter
    Inference for Stochastic Biochemical Models from Perturbation Experiments Parallelised
    at the Single Cell Level.” <i>PLoS Computational Biology</i>. Public Library of
    Science, 2022. <a href="https://doi.org/10.1371/journal.pcbi.1009950">https://doi.org/10.1371/journal.pcbi.1009950</a>.
  ieee: A. Davidović, R. P. Chait, G. Batt, and J. Ruess, “Parameter inference for
    stochastic biochemical models from perturbation experiments parallelised at the
    single cell level,” <i>PLoS Computational Biology</i>, vol. 18, no. 3. Public
    Library of Science, 2022.
  ista: Davidović A, Chait RP, Batt G, Ruess J. 2022. Parameter inference for stochastic
    biochemical models from perturbation experiments parallelised at the single cell
    level. PLoS Computational Biology. 18(3), e1009950.
  mla: Davidović, Anđela, et al. “Parameter Inference for Stochastic Biochemical Models
    from Perturbation Experiments Parallelised at the Single Cell Level.” <i>PLoS
    Computational Biology</i>, vol. 18, no. 3, e1009950, Public Library of Science,
    2022, doi:<a href="https://doi.org/10.1371/journal.pcbi.1009950">10.1371/journal.pcbi.1009950</a>.
  short: A. Davidović, R.P. Chait, G. Batt, J. Ruess, PLoS Computational Biology 18
    (2022).
date_created: 2022-04-03T22:01:42Z
date_published: 2022-03-18T00:00:00Z
date_updated: 2025-09-09T14:29:53Z
day: '18'
ddc:
- '570'
- '000'
department:
- _id: CaGu
doi: 10.1371/journal.pcbi.1009950
external_id:
  isi:
  - '001044208400004'
  pmid:
  - '35303737'
file:
- access_level: open_access
  checksum: 458ef542761fb714ced214f240daf6b2
  content_type: application/pdf
  creator: dernst
  date_created: 2022-04-04T10:14:39Z
  date_updated: 2022-04-04T10:14:39Z
  file_id: '10947'
  file_name: 2022_PLoSCompBio_Davidovic.pdf
  file_size: 2958642
  relation: main_file
  success: 1
file_date_updated: 2022-04-04T10:14:39Z
has_accepted_license: '1'
intvolume: '        18'
isi: 1
issue: '3'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '03'
oa: 1
oa_version: Published Version
pmid: 1
publication: PLoS Computational Biology
publication_identifier:
  eissn:
  - 1553-7358
  issn:
  - 1553-734X
publication_status: published
publisher: Public Library of Science
quality_controlled: '1'
related_material:
  link:
  - relation: software
    url: https://gitlab.pasteur.fr/adavidov/inferencelnakf
scopus_import: '1'
status: public
title: Parameter inference for stochastic biochemical models from perturbation experiments
  parallelised at the single cell level
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 18
year: '2022'
...
