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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.21 No.4
- 발행연도
- 2017.12
- 수록면
- 215 - 224 (10page)
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초록· 키워드
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The moment closure method is an approximation method to compute the moments for stochastic models of chemical reaction systems. In this paper, we develop an analytic estimation of errors generated from the approximation of an infinite system of differential equations into a finite system truncated by the moment closure method. As an example, we apply the result to an essential bimolecular reaction system, the dimerization model.
목차
ABSTRACT
1. INTRODUCTION
2. ERROR ESTIMATION
3. APPLICATION: DIMERIZATION
4. CONCLUSION
REFERENCES
참고문헌 (17)
참고문헌 신청
[학술지(정기간행물)] - C. V. Rao / 2002 / Control, exploitation and tolerance of intracellular noise / Nature 420 (6912) : 231 ~
[학술지(정기간행물)] - M. Thattai / 2001 / Intrinsic noise in gene regulatory networks / Proceedings of the National Academy of Sciences 98 (15) : 8614 ~ 8619
[학술지(정기간행물)] - D. J. Higham / 2008 / Modeling and simulating chemical reactions / SIAM review 50 (2) : 347 ~ 368
[학술지(정기간행물)] - D. T. Gillespie / 1992 / A rigorous derivation of the chemical master equation / Physica A: Statistical Mechanics and its Applications 188 : 404 ~ 425
[학술지(정기간행물)] - C. H. Lee / 2012 / An analytical approach to solutions of master equations for stochastic nonlinear reactions / Journal of Mathematical Chemistry 50 (6) : 1550 ~ 1569
[학술지(정기간행물)] - M. Thattai / 2001 / Intrinsic noise in gene regulatory networks / Proceedings of the National Academy of Sciences 98 (15) : 8614 ~ 8619
[학술지(정기간행물)] - D. J. Higham / 2008 / Modeling and simulating chemical reactions / SIAM review 50 (2) : 347 ~ 368
[학술지(정기간행물)] - D. T. Gillespie / 1992 / A rigorous derivation of the chemical master equation / Physica A: Statistical Mechanics and its Applications 188 : 404 ~ 425
[학술지(정기간행물)] - C. H. Lee / 2012 / An analytical approach to solutions of master equations for stochastic nonlinear reactions / Journal of Mathematical Chemistry 50 (6) : 1550 ~ 1569
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