As biomedical research advances there is an increasing need to model and simulate more complicated systems to better understand them. Since biochemical processes are inherently stochastic and often contain both continuous and discrete behavior, stochastic hybrid systems are an ideal modeling paradigm for capturing their dynamics. In this paper we present a framework for modeling biochemical sys...

The existing modeling methods using Petri Nets‎, ‎have been successfully applied to model and analyze dynamic systems‎. ‎However‎, ‎these methods are not capable of modeling all dynamic systems such as systems with the current sample time signals‎, ‎systems including various subsystems and multi-mode systems‎. ‎This paper proposes Hybrid Time Delay Petri Nets (HTDPN) to solve the problem‎. ‎In ...

In this paper we propose a component-based hybrid formalism, that represents physical phenomena by combining concurrent automata with continuous uncertain dynamic models. The formalism eases the modeling of complex physical systems, and adds concurrency to the supervision of hybrid systems. Uncertainties in the model are integrated as probabilities at the discrete level and intervals at the con...

in this paper we introduce continuous $g$-bessel multipliers in hilbert spaces and investigate some of their properties. we provide some conditions under which a continuous $g$-bessel multiplier is a compact operator. also, we show the continuous dependency of continuous $g$-bessel multipliers on their parameters.

This chapter discusses the importance of discrete choice and discrete-continuous modeling methods in the cost-benefit evaluation of transportation infrastructure improvement and other related projects. Specifically, discrete choice and discrete-continuous methods constitute the backbone of travel demand models that are used to predict travel characteristics and usage of transportation services ...

Volatility is an important concept for identifying and predicting the risk of financial products. The aim study to determine most appropriate discrete model volatility Bitcoin returns using discrete-time GARCH its extensions compare it with Lévy driven continuous-time model. For this purpose, modeled daily data / United States Dolar exchange rate. By comparing models according information crite...

This paper presents the detailed mathematical modeling of Z-source dc-dc converter (ZSC) in continuous conduction mode. Transfer function of ZSC is derived based on mathematical modeling with state space averaging method. This paper has been focused on dynamic modeling of open loop transfer function of ZSC along with design of closed loop controller. MATLAB based simulation results are presente...