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In this paper, experimental data is presented and a simple model is developedfor the time evolution of a F-amp \textit{E. Coli} culture population. Ingeneral, the bacteria life cycle as revealed by monitoring a culture'spopulation consists of the lag phase, the growth (or exponential) phase, thelog (or stationary) phase, and finally the death phase. As the name suggests,in the stationary phase, the population of the bacteria ceases to growexponentially and reaches a plateau before beginning the death phase. Hightemporal resolution experimental observations using a unique light-scatteringtechnique in this work reveal all the expected phases in detail as well as anoscillatory population behavior in the stationary phase. This unambiguousoscillation behavior has been suggested previously using traditional surveys ofaliquots from a given population culture. An attempt is made to model theseexperimental results by developing a differential equation that accounts forthe spatial distribution of the individual cells and the presence of theself-organizing forces of competition and dispersion. The main phases are wellrepresented, and the oscillating behavior is attributed to intra-speciesmixing. It is also observed, that the convective motion arising out ofintra-species mixing while plays a key role in limiting population growth,scales as $t^{-\alpha}$, where $\alpha$ is bounded by model parameters.

High-resolution Experimental Study and Numerical Modeling of Population Dynamics in a Bacteria Culture