*Correspondence: [email protected] 1Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, P.R. China 2School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, P.R. China Abstract A novel stochastic turbidostat model is investigated in this paper. The stochasticity in the model comes from the maximal growth rate influe...

The size stability of natural populations indicates that natality and mortality rates are on average equal. Fine tuning of the two independent processes suggests the existence of a regulating mechanism. Two types of such mechanisms exist. A decrease in the number of organisms can either speed up the natality rate or slow down the mortality rate. The former mechanism (chemostat-like) acts whenev...

The production of recombinant proteins in bioreactors requires real-time process monitoring and control to increase process efficiency and to meet the requirements for a comprehensive audit trail. The combination of optical near-infrared turbidity sensors and dielectric spectroscopy provides diverse system information because different measurement principles are exploited. We used this combinat...

The cyanobacterial circadian clock has been well-studied and shown to be both robust and a dominant factor in the control of gene expression in Synechococcus elongatus PCC7942. In Synechocystis sp. PCC6803, the circadian clock is assumed to function similarly, yet appears to control transcription to a far lesser extent and its circadian rhythm was reported to not be sustained, or at least rapid...