Helena Olivieri Journal Assignment

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Part 1: How the system behaves, specifically with regards to growth rates

  • Initially, I primarily observed changes in growth rates. By leaving the constants consistently at one, I was able too understand how nutrients would be used. Larger growth rates causes quicker use of resources causing the amount of cells to decrease. When r was a smaller value, the population grew, as expected, slower. Less resources were, therefore, used. When the initial nutrient level is zero and the constants and the initial cell population size are positive.

Part 2: How the system behaves logistical growth

  • Given a logistic curve with the nutrient level at zero and the initial cell population positive, the curve will demonstrate a carrying capacity. The carrying capacity level determines the amount of growth of the population. If the population has a high carrying capacity, it could possibly run out of resources. Contrary to this if the carrying capacity is very low, it is possible that the population will run out of space before they run out of resources.
  • The toxic waste that yeast typically produce is ethanol. If yeast overproduce ethanol, and none is removed, it is likely that there will be population decay. By observing the Malthus model, one knows that the rate of change  = birth rate – death rate. Because of an overproduction of ethanol more yeast would like die and less yeast would, therefore, be reproduced. The rate of change would, thus, be negative and therefore population decay. Helena M. Olivieri 03:19, 25 January 2013 (EST)