Modeling of Biological Systems with Time Delays.
| dc.contributor.author | Wang, N.S. | en_US |
| dc.contributor.author | Stephanopoulos, G. | en_US |
| dc.contributor.department | ISR | en_US |
| dc.date.accessioned | 2007-05-23T09:37:14Z | |
| dc.date.available | 2007-05-23T09:37:14Z | |
| dc.date.issued | 1987 | en_US |
| dc.description.abstract | Unlike chemical reactor dynamics, microbial behavior depends not only on the present state of the environment surrounding a microorganism but, more importantly, on its past history, as well. Herein lies a major obstacle in the modeling of a biological process with a simple set of equations. By incorporating a culture's past history in the form of a time- delay kernel, a novel approach to bioprocess identification and modeling is formulated. A time delay kernel is included in the state equations, and a generalized method the mathematical simplification via the transformation of an integro-differential equation to a set of first order ODE's is developed. The resulting model possesses the combined advantages of the simplicity of an unstructured, lumped-parameter model and the power of a complex structured model. The experimental determination of the kernel will be discussed, with an emphasis on the on-line parameter estimation, control, and optimization of a biochemical reactor. | en_US |
| dc.format.extent | 945756 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/1903/4568 | |
| dc.language.iso | en_US | en_US |
| dc.relation.ispartofseries | ISR; TR 1987-60 | en_US |
| dc.title | Modeling of Biological Systems with Time Delays. | en_US |
| dc.type | Technical Report | en_US |
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