02.Growth Curve

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Congratulations! You have just learned how to use our Semi-Log Graph Paper and an English System Ruler as a makeshift Slide Rule. Notice that our Semi-Log Graph Paper seems to be strangely “Doubled”. That’s because our Semi-Log Graph Paper is Two-Cycle Semi-Log Graph Paper. (We also have Three-Cycle and Four-Cycle Semi-Log Graph Paper.) More on this in a bit. Where is the Zero? Stop and think about this. As you go down the Vertical Axis an Inch and a Half at a Time, you’re dividing by 2 every Inch and a Half. You will never reach a Zero on this Piece of Semi-Log Graph Paper. If you were to Cut-and-Paste all of the Two-Cycle Semi-Log Graph Paper on the Planet together, you could continue to “inch” (and a Half) your Way down the Vertical Axis for Tens of Thousands of Miles and you would never, ever reach Zero. There is no Zero on Semi-Log Graph Paper. “Welcome to The Infinite, mon Capitain!” Where is the “1”? That’s the Question of the Decade. Each “Cycle” on Semi-Log Graph Paper represents a Factor of 10, or One Order of Magnitude. Two-Cycle Semi-Log Graph Paper can accommodate Data over two Orders of Magnitude. Each Cycle can also be termed a “Decade”. On our Two-Cycle Semi-Log Graph Paper you could call the “10” at the Top the 10, the “1” in the Middle the 1.0, and the “1” at the Bottom “0.1”. If you do this, each of the Numbers on the Vertical Axis below the “1” in the Middle will acquire a preceding Decimal Point, so reading down you’d have 0.9, 0.8, 0.7, 0.6, 0.5, 0.4, 0.3, 0.2 and you’d end at the Bottom with 0.1. Or you could call the “10” at the Top the 1.0, the “1” in the Middle 0.1, and the “1” at the Bottom 0.01. The Location of “1.0” is Your Call. Wait until you get at least four (4) Data Points before you determine the Magnitudes you assign to your Decades. Semi-Log Graph Paper is great for plotting and comparing Data that contain both very high Values and very low Values. During Exponential Growth there are very slight Differences early on (just 4 Bacteria between 12:40 and 13:00 in our Introductory Example) and very Large Differences later on (131,072 Bacteria between 17:40 and 18:00). Semi-Log Graph Paper allows us to plot and compare these very different Values on a single Graph.

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Lab 2 Page 19 If we really wanted to do Today’s Exercise and Do It Right, we’d call out for Pizza -- which of course you wouldn’t eat in the Lab -- and have you guys stay here for about eight or ten Hours so we could generate a “real” Bacterial Growth Curve with its Characteristic Phases: Lag Phase The Period of Adjustment during which Bacteria adapt to their new Environment Logarithmic Phase The Period during which Bacteria undergo rapid Binary Fission (Exponential Growth) Stationary Phase The Period during which Bacteria are no longer undergoing Binary Fission.
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