A generalized mathematical model for the growth kinetics of <i>Saccharomyces cerevisiae</i> with experimental determination of parameters

Péringer, Paul; Blachère, H; Corrieu, G.; Lane, A. G.

doi:10.1002/bit.260160402

Cited by 43 publications

(5 citation statements)

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“…Concentración de biomasa [85][86] Concentración de sustrato y concentración de biomasa [87][88][89][90] Concentración de producto [91][92][93][94][95][96][97] Concentración de sustrato y concentración de producto [78,92,[98][99][100][101][102] Concentración de sustrato y concentración de oxígeno disuelto [103][104] Concentración de sustrato, concentración de oxígeno disuelto y concentración de producto [23] Concentración de sustrato y concentración de metabolito inhibitorio [89] pH [105] Temperatura y pH [106] Concentración de sustrato y pH [105,107] Temperatura [108][109] Temperatura y concentración de biomasa [110] Intensidad de luz y concentración de biomasa [111] la cinética de formación de producto [112][113]. Todos estos modelos tratan de aproximar, aunque de manera empírica y puramente predictiva, la relación matemática entre el medio ambiente y el material celular.…”

Section: Modelos Matemáticos De Bioprocesosunclassified

Enfrentando el modelado de bioprocesos: una revisión de las metodologías de modelado

Quintana

Álvarez

Castro

2017

rev.ion

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ResumenEn este artículo se presenta una revisión detallada de las diferentes metodologías para el modelado de procesos, señalando sus deficiencias y limitaciones al aplicarlas al modelado de bioprocesos. Como resultado del análisis se encuentra que, al aplicar esas metodologías a los bioprocesos, todas fallan porque no consideran explícitamente la interacción existente entre el medio ambiente y el material celular, al menos de forma descriptiva. Se resalta que hasta ahora la forma de unir estos dos mundos ha sido a través de funciones puramente predictivas. Finalmente, se describen las tendencias en el modelado de bioprocesos, concluyéndose que el enfoque está orientado al planteamiento de modelos matemáticos de base fenomenológica, con rasgos descriptivos o explicativos, para representar la relación existente entre la célula y su medio ambiente.

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Section: Modelos Matemáticos De Bioprocesosunclassified

Enfrentando el modelado de bioprocesos: una revisión de las metodologías de modelado

Quintana

Álvarez

Castro

2017

rev.ion

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“…12) graphs for the einc-limited cultures show many similarities to experiments A3 and A4 (Figs. 7, 8,9). Biomass concentration is again oscillatory and the larger pulse (Fig.…”

Section: Zinc-limited Culturesmentioning

confidence: 99%

Transient kinetics of yeast growth in batch and continous culture with an inhibitory carbon and energy source

Edwards

1975

Biotech & Bioengineering

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SummaryGrowth and acetate metabolism by Cundida utilis (ATCC 9226) is reported for both acetate-and zinc-limited cultures in defined media. Acetate concentrations were varied from suboptimal to inhibitory levels in both types of media in differential shake flask culture and in batch and continuous cultures in stirred fermentors. Transient responses of steady-state cultures to small or large additions of concentrated sodium acetate, or to shifts in dilution rate or inlet acetate concentration are compared with one another and with simple mathematical models of growth and acetate metabolism. Exponential growth was observed during unrestricted growth (differential shake flask and batch cultures) with both types of media. Addition of acetate' during Unrestricted growth always caused lags and for larger pulses, lower specific growth rates were observed after exponential growth resumed. Inhibition by high acetate concentrations was much greater in acetate-limited than in zinc-limited cultures. During restricted growth (steady-etate continuous cultures), high acetate concentrations again consistently caused growth lags but stimulated, inhibited, or temporarily stopped acetage uptake. Qualitative agreement between the predictions of a simple mathematical model of acetate inhibition fitted to differential shake flask data and the observed transient data was surprisingly good.

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“…2) empirical models on the basis of measurable physicochemical process variables of the culture like in the cme 1 but with more "biological significance" by incorporating some simplified mechanistic information of metrtbolism (e.g. ATP, inhibition of active transport systems) [40,41,42]. 3) more mechanistic descriptions of the control processes based on theoretical mechanisms of yeast metabolism, including terms to quantify catabolite repression, catabolite inhibition, induction of enzyme etc.…”

Section: Case Study: Diauxz-c Growth Of Yeastmentioning

confidence: 99%

Formal macroapproach to bioprocessing‐modeling with analogies

Moser

1983

Acta Biotechnologica

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9 new approach for the investigations of biotechnical processes +3 presented in this article on the basis of an integrating strategy, incorporating a joint analysis of biological and engineering aspects. Thereby, the experimental 'work can be carriqd out on the macroscopic level, taking into account the behaviour of bioprocesses from measurements in the liquid phase. Mathematical modeling uses the concept of analogies instead of speculative mechanisms. A predictive character of these "formalkinetics" supplementary to the descriptive nature is achieved with the aid of deductive research methodology. This general theoretical concept is illustrated in the special case of modeling the diauxic growth of yeast. Formalkinetics based on analogies are shown to be not only able to be successfully applied to elucidate bioprocessing but also to form a more realistic and-simple approach than pu,re mechanistic investigations needed for the realization of bioprocessing in technical scale. ZusammeniassungDer Artikel stellt eine neue Bearbeitungsweise fiir.biotechnische Prozesse vor, die sich auf Basic, einer gesamtheitlichen Betrachtungsweise zwischen biologischen und verfahrenstechnischen Aspekten ergibt. Demnach sind experimentelle Untersuchungen auf dem makroskopisch in der Fliissigphase pseudohomogen beobachtbaren Niveau durchzufiihren. Mathematische Modellierungen erfolgen dann mit Hilfe von Analogien anstelle rein spekulativ mechanischer Vorstellungen. Der beschreibende Charakter dieser ,,Formalkinetik" kann auf voraussagende Eigenschaften erweitert werden, indem die deduktive Methodologie in der wissenschaftlichen Bearbeitung befolgt wird. Dieses allgemein theoretische Konzept wird am Beispiel der Hefediauxie im Detail dargelegt. Analogien zeigen sich demnach nicht nur fiir die wissenschaftliche Durchdringung von Bioprozessen geeignet, sondern representieren eine im Vergleich zu rein mechanistischen Ansatzen realistischere und einfachere Bearbeitungsmethode, wie sie fiir die technische Realisierung von Bioprozessen auch notwendig ist. 1* 1. to quantify, 2. to simplify, 3. to separate biological and physical phenomena, 4. to model both parts and recombine them in process design.

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A generalized mathematical model for the growth kinetics of Saccharomyces cerevisiae with experimental determination of parameters

Cited by 43 publications

References 6 publications

Enfrentando el modelado de bioprocesos: una revisión de las metodologías de modelado

Enfrentando el modelado de bioprocesos: una revisión de las metodologías de modelado

Transient kinetics of yeast growth in batch and continous culture with an inhibitory carbon and energy source

Formal macroapproach to bioprocessing‐modeling with analogies

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