Linear constraint relations in biochemical reaction systems: II. Diagnosis and estimation of gross errors

摘要: Conservation equations derived from elemental balances, heat and metabolic stoichiometry, can be used to constrain the values of conversion rates relevant components. In present work, their use will discussed for detection localization significant errors following types: 1.At least one primary measurements has a error (gross measurement error). 2.The system definition is incorrect: component a.is not included in description. b.has composition different that specified. 3.The specified variances are too small, resulting too-sensitive test. The diagnosis technique presented here, based on following: given conservation equations, each set measured rates, vector residuals these constructed, which direction related source, as its length measure size. The similarity directions such residual certain compare vectors, corresponding specific considered statistical test. If two vectors result sources have (almost) same direction, types cannot distinguished other. For possible flows concentrations, constructed priori, thus allowing analysis beforehand, observed. Therefore, detectability likely occur insured by selecting proper set. possibility performing this before experiments carried out an important advantage, providing profound understanding errors. characteristics method with respect simultaneous size estimation compared those serial elimination compensation strategy, published elsewhere. © 1994 John Wiley & Sons, Inc.