{"doi":"10.1002/abio.370120509","title":"Description of the delayed microbial growth by an extended logistic equation","abstract":"<jats:title>Abstract</jats:title><jats:p>Logistic equations are suitable for describing microbial growth. By means of V<jats:sc>ERHULST'S</jats:sc> logistic equation, the adaptation to sigmoid‐shaped curves of growth improves with a falling ratio <jats:italic>C</jats:italic><jats:sub>xo</jats:sub>/<jats:italic>C</jats:italic><jats:sub>x, max</jats:sub> &lt; 0.2, if there is no lag‐phase. The known logistic equations do not take into account any lag‐phase behaviour, so that noticeable deviations in the model adaptation result in this range. Therefore, an extended logistic equation of rate is proposed by which any occuring lag‐time is expressed by a 1st‐order lag‐term. The corresponding time law allows a very good adaptation of curves of delayed growth behaviour, and changes into V<jats:sc>ERHULST'S</jats:sc> logistic equation for a lag‐time <jats:italic>t</jats:italic><jats:sub>L</jats:sub> = 0. Application is facilitated by instructions for the numerical determination.</jats:p>","journal":"Acta Biotechnologica","year":1992,"id":65963,"datarank":0.45672318568161285,"base_score":1.9459101490553132,"endowment":1.9459101490553132,"self_citation_contribution":0.29188652235829704,"citation_network_contribution":0.16483666332331579,"self_endowment_contribution":0.29188652235829704,"citer_contribution":0.16483666332331579,"corpus_percentile":null,"corpus_rank":null,"citation_count":6,"citer_count":5,"citers_with_citation_signal":5,"citers_with_endowment":5,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":349795,"name":"J. 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The corresponding time law allows a very good adaptation of curves of delayed growth behaviour, and changes into V<jats:sc>ERHULST'S</jats:sc> logistic equation for a lag‐time <jats:italic>t</jats:italic><jats:sub>L</jats:sub> = 0. 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