Exact Stochastic Sşmulation Algorithms and Impulses in Biological Systems
Abstract
Keywords
References
- [1] J. M. Bower, H. Bolouri, “Computational Modelling of Genetic and Biochemical Networks”, MIT Press, 2000.
- [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] A. d'Onofrio, “Stability properties of pulse vaccination strategy in SEIR epidemic model”, Mathematical Biosciences, 179 (2002) 52-72.
- [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] D. T. Gillespie, “Exact stochastic simulation of coupled chemical reactions”, Journal of Physical Chemistry, 81 (1977) 2340-2361. DOI: 10.1021/j100540a008
- [6] D. T. Gillespie, “A rigorous derivation of the chemical master equation”, Physica A, 188 (1992) 404-425.
- [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] 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