Table 1 Stochastic hybrid systems applications to biological systems

Gene regulation

[53]

Ordinary Differential Equation and Markov Chain controlled switching

Response of a population of cancer cells to various drugs

[54]

Ordinary Differential Equation and Markov Chain controlled switching

Subtilin Production modeling in Bacillus subtilis

[55–57]

Ordinary Differential Equation and Markov Chain controlled switching

Parameter Identification

[58]

Ordinary Differential Equation and Markov Chain

Lactose Regulation System of Escherichia Coli modeling

[59]

Ordinary Differential Equation and Probabilistic Transitions

Estimation of low order statistics

DNA replication

[60]

Ordinary Differential Equation, Guarded Transition and Probabilistic Firing Time

Simulation of full genome DNA replication

[61]

Ordinary Differential Equation, Guarded Transition and Probabilistic Firing Time

Verification of SHS

Sugar cataract development

[62, 63]

Stochastic Differential Equation, Guarded and Probabilistic Transitions

Performance of simulation techniques

[64]

Stochastic Differential Equation, Guarded and Probabilistic Transitions

Probabilistic verification for reachability analysis

Biodiesel production system

[65]

Stochastic Differential Equation and Guarded Transition

Probabilistic verification for reachability analysis

Glycolysis

[66]

Stochastic Differential Equation, Guarded and Probabilistic Transitions

Reachability analysis of a SHS model

Population biology

[67]

Ordinary Differential Equation and Markov Processes

Moment Closure Techniques Comparison

Others

[68–77]

misc

misc