| Abstract: |
| A mathematical model describing the growth of gut microbiome with one beneficial bacterial microorganism and a limiting nutrient source is developed based on the chemostat model. Motivated by the interesting discovery that time-dependent input of nutrient may result in asymptotic behavior different from constant input, we are interested in investigating how the growth of a particular type of bacteria can be boosted or inhibited to maintain a healthy gut. In this talk, we analyze the microbial population dynamics using an optimal control approach. In particular, we consider a modified model for the dynamics of an intestinal microbiome with one beneficial bacterial microorganism that we are trying to promote by the infusion of some probiotic along with one limiting resource of nutrient population over a given finite time interval, $[0,T]$. |
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