Review of stochastic hybrid systems with applications in biological systems modeling and analysis

X Li, O Omotere, L Qian, ER Dougherty - EURASIP Journal on …, 2017 - Springer
Stochastic hybrid systems (SHS) have attracted a lot of research interests in recent years. In
this paper, we review some of the recent applications of SHS to biological systems modeling …

Model reduction of multiscale chemical Langevin equations: a numerical case study

V Sotiropoulos, MN Contou-Carrere… - … ACM transactions on …, 2009 - ieeexplore.ieee.org
Two very important characteristics of biological reaction networks need to be considered
carefully when modeling these systems. First, models must account for the inherent …

On hybrid state estimation for stochastic hybrid systems

W Liu, I Hwang - IEEE Transactions on Automatic Control, 2014 - ieeexplore.ieee.org
This paper considers the state estimation problem for the general continuous-time
Stochastic Hybrid System (SHS) which has various applications. Defined on the hybrid state …

Modelling and analysis of the sugar cataract development process using stochastic hybrid systems

D Riley, X Koutsoukos, K Riley - IET systems biology, 2009 - IET
Modelling and analysis of biochemical systems such as sugar cataract development (SCD)
are critical because they can provide new insights into systems, which cannot be easily …

Control mechanisms for stochastic biochemical systems via computation of reachable sets

E Lakatos, MPH Stumpf - Royal Society Open Science, 2017 - royalsocietypublishing.org
Controlling the behaviour of cells by rationally guiding molecular processes is an
overarching aim of much of synthetic biology. Molecular processes, however, are notoriously …

[BOOK][B] Modeling, simulation, and verification of biochemical processes using stochastic hybrid systems

D Riley - 2009 - search.proquest.com
Background.............................. 72 SDE Error Approximation....................... 73 Adaptive Time
Step** for SDEs................... 74 Adaptive Time Step** for SHS.................... 74 Adaptive …

Partially‐observable stochastic hybrid systems (poshss) state estimation and optimal control

W Liu, I Hwang - Asian Journal of Control, 2015 - Wiley Online Library
This paper discusses the state estimation and optimal control problem of a class of partially‐
observable stochastic hybrid systems (POSHS). The POSHS has interacting continuous and …

State estimation and optimal control of stochastic hybrid systems: Theory and applications

W Liu - 2012 - search.proquest.com
Abstract The Stochastic Hybrid System (SHS) is a class of complex stochastic dynamical
systems with interacting continuous and discrete dynamics. Many cyber-physical systems …

[BOOK][B] Multiple time scale algorithms for gene network simulations

V Sotiropoulos - 2009 - search.proquest.com
MULTIPLE TIME SCALE ALGORITHMS FOR GENE NETWORK SIMULATIONS Page 1
MULTIPLE TIME SCALE ALGORITHMS FOR GENE NETWORK SIMULATIONS A …

[CITATION][C] Position Paper: Cyber Enabled Stochastic Management of Microgrids

SV Dhople, GB Giannakis, M Jovanovic - 2013