Application of stochastic simulations of biological networks under different impulsive scenarios

2016-06-01
The impulses are one of the sources of fluctuations which lead to the sharp changes in the biochemical systems such as the changes in epidemic and population models. These effects have been comprehensively studied under deterministic models, whereas, have not been analyzed in stochastic models. Hereby, in this study, we implement these effects in two exact stochastic simulation algorithms, namely, the direct method and the first reaction method under different dimensional systems and impulses scenarios. In the application, we use real systems and apply impulses to the biologically meaningful proteins. Then, we evaluate the performances of both exact methods in terms of computational demand via distinct criteria.
3rd International Conference on Data Mining, Internet Computing, and Big Data ( 01 Haziran 2016)

Suggestions

Stochastic simulations of biological networks under impulses
Yazıcı, Müge; Purutçuoğlu Gazi, Vilda; Department of Statistics (2016)
The impulses are one of the sources of fluctuations which lead to the sharp changes in the biochemical systems such as the changes in epidemic and population models. In this study, as the novelty, we implement these effects in exact stochastic simulation algorithms, namely, the Gillespie method and the first reaction method, by changing the chemical master equations (CME) with impulses. Hereby in the extension of these approaches with impulses, we consider different scenarios such as the sudden decrease of ...
Optimal control of stochastic hybrid system with jumps: A numerical approximation
Temoçin, Büşra Zeynep; Weber, Gerhard Wilhelm (2014-03-15)
The generalized class of stochastic hybrid systems consists of models with regime changes including the occurrence of impulsive behavior. In this paper, the stochastic hybrid processes with jumps are approximated by locally consistent Markov decision processes that preserve local mean and covariance. We further apply a randomized switching policy for approximating the dynamics on the switching boundaries. To investigate the validity of the approximation, we study a stochastic optimal control problem. On the...
Stochastic simulation of large biochemical systems by approximate Gillespie algorithm
Purutçuoğlu Gazi, Vilda (IEEE; 2010-06-01)
In recent years the fast innovations for the development of new methods and algorithms in system biology enable the biologists to analyze and interpret the complex biochemical structures. One of the speedy development has been seen in mathematical methods for generating these complex systems on the computer. These techniques help the researcher to ask biologically interesting questions and test their expectations before starting their biological experiments. There are a number of methods which can approxima...
Application of nonlinear unit root tests and threshold autoregressive models
Uysal, Ela; Yıldırım Kasap, Dilem; Department of Economics (2012)
Popularity of nonlinear threshold models and unit root tests has increased after the recent empirical studies concerning the effects of business cycles on macroeconomic data. These studies have shown that an economic variable may react differently in response to downturns and recoveries in a business cycle. Inspiring from empirical results, this thesis investigates dynamics of Turkish key macroeconomic data, namely capacity utilization rate, growth of import and export volume indices, growth of gross domest...
Modern tools for the time-discrete dynamics and optimization of gene-environment networks
DEFTERLİ, ÖZLEM; Fuegenschuh, Armin; Weber, Gerhard Wilhelm (Elsevier BV, 2011-12-01)
In this study, we discuss the models of genetic regulatory systems, so-called gene-environment networks. The dynamics of such kind of systems are described by a class of time-continuous ordinary differential equations having a general form (E) over dot = M(E)E, where E is a vector of gene-expression levels and environmental factors and M(E) is the matrix having functional entries containing unknown parameters to be optimized. Accordingly, time-discrete versions of that model class are studied and improved b...
Citation Formats
V. Purutçuoğlu Gazi, “Application of stochastic simulations of biological networks under different impulsive scenarios,” 2016, p. 82, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/83160.