Methods of parameter estimation for nonlinear models have generally been based on appropriate least squares procedures. The authors have presented previously, for the one compartment open model, a marginal likelihood approach which obviates some of the difhcuhies encountered in the nonlinear least s
A one-compartment model with stochastic parameter
โ Scribed by Karmeshu; C.K. Gupta
- Publisher
- Springer
- Year
- 1981
- Tongue
- English
- Weight
- 573 KB
- Volume
- 43
- Category
- Article
- ISSN
- 1522-9602
No coin nor oath required. For personal study only.
โฆ Synopsis
We consider a one-compartment system with stochastic transfer rate characterized either by Gaussian or by two-level jump process and study the time evolution of the (statistical) moments of the (random) amount of the substance present in the system. The effect of the coloured as well as of the white noise is investigated and it is found that the presence of stochasticity in the transfer rate parameter increases the relaxation time of the system. Finally, we obtain the conditions for the stability of the system in the moment sense.
๐ SIMILAR VOLUMES
A stochastic model for compartment fires in buildings is derived from basic physical laws. It consists of just three variables, which form a Markov vector satisfying a stochastic differential equation. The deterministic version of the model can be calibrated to closely mimic more elaborate models. S
A calculator program that performs a nonlinear least-squares fit to data conforming to the one-compartment model with zero-order input is described. The program, which is designed for the Hewlett-Packard HP-41 CV calculator, is based on the Gauss-Newton iterative algorithm as modified by Hartley. A