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Table 1 Stochastic hybrid systems applications to biological systems

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

Application area Papers Modeling mechanism Main goal
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
  [5557] 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 [6877] misc misc