Compartmental models and competing risk
Copyright policy )Compartmental models and competing risk
General compartmental models are derived using competing risk arguments. When the risk variables are exponential, the results specialize to the standard stationary Markov compartmental model. Iterative methods of solving the fundamental integral equation are given, and the uniqueness of the solution is incidentally established. The analysis is extended to include fixed inputs, orderly and nonorderly stream infusions, and time dependency. The study is motivated by a biological system that evolves through various stages over time.
- University of Adelaide Australia
Risk, stationary Markov compartmental model, transition matrix, Models, Biological, compartmental models, Computational methods for problems pertaining to biology, competing risks, fixed inputs, closed, evolutionary system, Stochastic Processes, time dependency, Biological Evolution, Markov Chains, Markov renewal processes, semi-Markov processes, renewal type matrix integral equation, integral equation, Applications of Markov renewal processes (reliability, queueing networks, etc.), exponential variables, iterative methods, orderly and nonorderly stream infusions, General biology and biomathematics, Mathematics
Risk, stationary Markov compartmental model, transition matrix, Models, Biological, compartmental models, Computational methods for problems pertaining to biology, competing risks, fixed inputs, closed, evolutionary system, Stochastic Processes, time dependency, Biological Evolution, Markov Chains, Markov renewal processes, semi-Markov processes, renewal type matrix integral equation, integral equation, Applications of Markov renewal processes (reliability, queueing networks, etc.), exponential variables, iterative methods, orderly and nonorderly stream infusions, General biology and biomathematics, Mathematics
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