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_posts/2020-11-25-building-a-bioreactor-part-3-tracking-growth-rates-in-real-time.md

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@@ -42,7 +42,7 @@ That looks good in the last few hours, but fails everywhere else. Likewise, if w
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![]({{ 'assets/images/bioreactor_project/growth_rates/3.png' | relative_url }})
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Yuck. What's going on? The problem is that our growth *rate* parameter is not constant - so our model should in fact be:
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Yuck. What's going on? The problem is that our growth rate parameter is not constant, so there is no good single value of $r$. Our model should in fact be:
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$$\text{OD}_t = \text{OD}_0 \exp{(r_t\cdot t)}$$
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