Moment closure for biochemical networks

被引：31

作者：

Hespanha, Joao ^{[1
]}

机构：

[1] Univ Calif Santa Barbara, Dept Elect & Comp Engn, Santa Barbara, CA 93106 USA

来源：

2008 3RD INTERNATIONAL SYMPOSIUM ON COMMUNICATIONS, CONTROL AND SIGNAL PROCESSING, VOLS 1-3 | 2008年

关键词：

D O I：

10.1109/ISCCSP.2008.4537208

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Moment closure is a technique used to construct systems of differential equations to approximately compute means, standard deviations, and correlations between molecule counts of species involved in chemical reactions. These techniques are especially useful when the number of molecules exhibit large stochasticity, which is not uncommon in bio-chemical reactions. We discusses several approaches to moment closure that have been proposed in the literature and that have been recently implemented in a Matlab toolbox.

引用

页码：142 / 147

页数：6

共 50 条

[31] Closure of quantum hydrodynamic moment equations
Hughes, Keith H.
Parry, Steven M.
Burghardt, Irene
[J]. JOURNAL OF CHEMICAL PHYSICS, 2009, 130 (05):
[32] A NEW PERSPECTIVE ON THE MOMENT CLOSURE METHOD
HASOFER, AM
GRIGORIU, M
[J]. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1995, 62 (02): : 527 - 532
[33] On the highest order moment closure problem
Kosik, R
Grasser, T
Entner, R
Dragosits, K
[J]. 27th International Spring Seminar on Electronics Technology, Books 1-3, Conference Proceedings: MEETING THE CHALLENGES OF ELECTRONICS TECHNOLOGY PROGRESS, 2004, : 118 - 121
[34] MOMENT CLOSURE HIERARCHIES FOR RAREFIED GASES
Pavic-Colic, Milana
Simic, Srboljub
[J]. THEORETICAL AND APPLIED MECHANICS, 2015, 42 (04) : 261 - 276
[35] Conditional moment closure for turbulent combustion
Klimenko, AY
Bilger, RW
[J]. PROGRESS IN ENERGY AND COMBUSTION SCIENCE, 1999, 25 (06) : 595 - 687
[36] Moment Closure-A Brief Review
Kuehn, Christian
[J]. CONTROL OF SELF-ORGANIZING NONLINEAR SYSTEMS, 2016, : 253 - 271
[37] Moment closure and the stochastic logistic model
Nåsell, I
[J]. THEORETICAL POPULATION BIOLOGY, 2003, 63 (02) : 159 - 168
[38] ON THE CLOSURE OF POSITIVE FLAT MOMENT MATRICES
Fialkow, Lawrence
Nie, Jiawang
[J]. JOURNAL OF OPERATOR THEORY, 2013, 69 (01) : 257 - 277
[39] Application of quadrature-based moment methods to the conditional moment closure
Ilgun, A. D.
Passalacqua, A.
Fox, R. O.
[J]. PROCEEDINGS OF THE COMBUSTION INSTITUTE, 2021, 38 (02) : 2749 - 2757
[40] Moment-Based Methods for Parameter Inference and Experiment Design for Stochastic Biochemical Reaction Networks
Ruess, Jakob
Lygeros, John
[J]. ACM TRANSACTIONS ON MODELING AND COMPUTER SIMULATION, 2015, 25 (02): : 8

← 1 2 3 4 5 →