1994
DOI: 10.1002/bit.260430104
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Linear constraint relations in biochemical reaction systems: II. Diagnosis and estimation of gross errors

Abstract: Conservation equations derived from elemental balances, heat balances, and metabolic stoichiometry, can be used to constrain the values of conversion rates of relevant components. In the present work, their use will be discussed for detection and localization of significant errors of the following types: 1.At least one of the primary measurements has a significant error (gross measurement error).2.The system definition is incorrect: a component a.is not included in the system description.b.has a composition di… Show more

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Cited by 148 publications
(98 citation statements)
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“…The residuals obtained after multiplication of the redundancy matrix by the measured exchange rates could be explained on the basis of random measurement variances with test values that were lower than the 95 % chi-squared critical value of 5.992 (van der Heijden et al, 1994). In addition, the individual carbon and nitrogen balances could be closed for all datasets.…”
mentioning
confidence: 99%
“…The residuals obtained after multiplication of the redundancy matrix by the measured exchange rates could be explained on the basis of random measurement variances with test values that were lower than the 95 % chi-squared critical value of 5.992 (van der Heijden et al, 1994). In addition, the individual carbon and nitrogen balances could be closed for all datasets.…”
mentioning
confidence: 99%
“…The trends for biomass decrease, release of ammonium, and release of SOC were not significant when they were tested independently. However, together they possibly described a physiological response in which some por- d Rates (average Ϯ standard error) were first determined by linear regression and then adjusted by data reconciliation (30). e NA, not applicable.…”
Section: Resultsmentioning
confidence: 99%
“…g Probability of the h-statistics (no difference between the measured and balanced rates) from a 2 distribution with 2 degrees of freedom (30). h Composition (average Ϯ standard error) during the feast phase (n ϭ 6 to 8).…”
Section: Resultsmentioning
confidence: 99%
“…If not, there are infinite solutions. Further discussion of these techniques can be found elsewhere in relevant literature (Villadsen et al, 2011;Meijer et al, 2002;van der Heijden et al, 1994).…”
Section: ⋅ + ⋅mentioning
confidence: 99%