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Extending the Monod Model of Microbial Growth with Memory

Mohammad M. AmirianAndrew J. IrwinZoe V. Finkel
Jul 2022
摘要
Monod's model describes the growth of microorganisms using a hyperbolicfunction of extracellular resource concentration. Under fluctuating or limitedresource concentrations this model performs poorly against experimental data,motivating the more complex Droop model with a time-varying internal storagepool. We extend the Monod model to incorporate memory of past conditions,adding a single parameter motivated by a fractional calculus analysis. We showhow to interpret the memory element in a biological context and describe itsconnection to a resource storage pool. Under nitrogen starvation atnon-equilibrium conditions, we validate the model with simulations andempirical data obtained from lab cultures of diatoms (T. pseudonana and T.weissflogii) and prasinophytes (Micromonas sp. and O. tauri), globallyinfluential phytoplankton taxa. Using statistical analysis, we show that ourMonod-memory model estimates the growth rate, cell density, and resourceconcentration as well as the Droop model while requiring one less statevariable. Our simple model may improve descriptions of phytoplankton dynamicsin complex earth system models at a lower computational cost than is presentlyachievable.
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