Research Article

Exact Stochastic Sşmulation Algorithms and Impulses in Biological Systems

Volume: 4 Number: 2 July 2, 2018
EN

Exact Stochastic Sşmulation Algorithms and Impulses in Biological Systems

Abstract

The stochastic model is the only sort of expressions which can capture the randomness of biological systems under different reactions. There are mainly three methods;  Gillespie, first reaction and next reaction algorithms; for implementing exact stochastic simulations in these systems. Although these algorithms are successful in explaining the natural behaviors of the systems’ activation, they cannot describe the absurd changes, i.e.,  impulses. Moreover, the source codes in R are not available and open for all users. In this study, we produce these R codes and insert two major scenarios inside. In the application, we use distinct dimensional systems and compare their computational demands.

Keywords

References

  1. [1] J. M. Bower, H. Bolouri, “Computational Modelling of Genetic and Biochemical Networks”, MIT Press, 2000.
  2. [2] Y. Cao, H. Li, L. Petzold. “Efficient formulation of the stochastic simulation algorithm for chemically reacting systems”, Journal of Chemical Physics, 121 (9) (2004) 4059-4067. DOI: 10.1063/1.1778376
  3. 3] A. d'Onofrio, “Stability properties of pulse vaccination strategy in SEIR epidemic model”, Mathematical Biosciences, 179 (2002) 52-72.
  4. [4] M. A. Gibson and J. Bruck, “Efficient exact stochastic simulation of chemical systems with many species and many channels”, Journal of Physical Chemistry A, 104 (9) (2000) 1876-1889. DOI: 10.1021/ jp993732q
  5. [5] D. T. Gillespie, “Exact stochastic simulation of coupled chemical reactions”, Journal of Physical Chemistry, 81 (1977) 2340-2361. DOI: 10.1021/j100540a008
  6. [6] D. T. Gillespie, “A rigorous derivation of the chemical master equation”, Physica A, 188 (1992) 404-425.
  7. [7] S. A. Isaacson, “The reaction diffusion master equation as an asymptotic approximation of diffusion to a small target”, SIAM Journal of Applied Mathematics, 70 (1) (2009) 77-111.
  8. [8] N. G. Van Kampen, “Stochastic processes in physics and chemistry”, Amsterdam; New York, Elsevier North-Holland, 1981.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Derya Altıntan
Selcuk University
0000-0002-3913-9005
Türkiye

Vilda Purutçuoğlu
Middle East Technical University
0000-0002-3913-9005
Türkiye

Publication Date

July 2, 2018

Submission Date

March 14, 2018

Acceptance Date

June 4, 2018

Published in Issue

Year 1970 Volume: 4 Number: 2

APA
Altıntan, D., & Purutçuoğlu, V. (2018). Exact Stochastic Sşmulation Algorithms and Impulses in Biological Systems. International Journal of Computational and Experimental Science and Engineering, 4(2), 41-47. https://doi.org/10.22399/ijcesen.405778

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