---
_id: '3838'
abstract:
- lang: eng
text: We present a numerical approximation technique for the analysis of continuous-time
Markov chains that describe net- works of biochemical reactions and play an important
role in the stochastic modeling of biological systems. Our approach is based on
the construction of a stochastic hybrid model in which certain discrete random
variables of the original Markov chain are approximated by continuous deterministic
variables. We compute the solution of the stochastic hybrid model using a numerical
algorithm that discretizes time and in each step performs a mutual update of the
transient prob- ability distribution of the discrete stochastic variables and
the values of the continuous deterministic variables. We im- plemented the algorithm
and we demonstrate its usefulness and efficiency on several case studies from
systems biology.
author:
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Maria
full_name: Mateescu, Maria
last_name: Mateescu
- first_name: Linar
full_name: Mikeev, Linar
last_name: Mikeev
- first_name: Verena
full_name: Wolf, Verena
last_name: Wolf
citation:
ama: 'Henzinger TA, Mateescu M, Mikeev L, Wolf V. Hybrid numerical solution of the
chemical master equation. In: Springer; 2010:55-65. doi:10.1145/1839764.1839772'
apa: 'Henzinger, T. A., Mateescu, M., Mikeev, L., & Wolf, V. (2010). Hybrid
numerical solution of the chemical master equation (pp. 55–65). Presented at the
CMSB: Computational Methods in Systems Biology, Trento, Italy: Springer. https://doi.org/10.1145/1839764.1839772'
chicago: Henzinger, Thomas A, Maria Mateescu, Linar Mikeev, and Verena Wolf. “Hybrid
Numerical Solution of the Chemical Master Equation,” 55–65. Springer, 2010. https://doi.org/10.1145/1839764.1839772.
ieee: 'T. A. Henzinger, M. Mateescu, L. Mikeev, and V. Wolf, “Hybrid numerical solution
of the chemical master equation,” presented at the CMSB: Computational Methods
in Systems Biology, Trento, Italy, 2010, pp. 55–65.'
ista: 'Henzinger TA, Mateescu M, Mikeev L, Wolf V. 2010. Hybrid numerical solution
of the chemical master equation. CMSB: Computational Methods in Systems Biology,
55–65.'
mla: Henzinger, Thomas A., et al. Hybrid Numerical Solution of the Chemical Master
Equation. Springer, 2010, pp. 55–65, doi:10.1145/1839764.1839772.
short: T.A. Henzinger, M. Mateescu, L. Mikeev, V. Wolf, in:, Springer, 2010, pp.
55–65.
conference:
end_date: 2010-10-01
location: Trento, Italy
name: 'CMSB: Computational Methods in Systems Biology'
start_date: 2010-09-29
date_created: 2018-12-11T12:05:27Z
date_published: 2010-09-29T00:00:00Z
date_updated: 2021-01-12T07:52:33Z
day: '29'
ddc:
- '004'
department:
- _id: ToHe
doi: 10.1145/1839764.1839772
file:
- access_level: open_access
checksum: 81cb6f0babd97151b171d1ce86582831
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:15:55Z
date_updated: 2020-07-14T12:46:16Z
file_id: '5179'
file_name: IST-2012-68-v1+1_Hybrid_Numerical_Solution_of_the_Chemical_Master_Equation.pdf
file_size: 671790
relation: main_file
file_date_updated: 2020-07-14T12:46:16Z
has_accepted_license: '1'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Submitted Version
page: 55 - 65
publication_status: published
publisher: Springer
publist_id: '2356'
pubrep_id: '68'
quality_controlled: '1'
scopus_import: 1
status: public
title: Hybrid numerical solution of the chemical master equation
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
year: '2010'
...