Integrated Science
Integrated Science
7th Edition
ISBN: 9780077862602
Author: Tillery, Bill W.
Publisher: Mcgraw-hill,
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Chapter 21, Problem 1PEA
To determine

The number of bacteria that will be present after one hour in a bottle full of nutrients.

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A population of E. coli bacteria grows exponentially with time. You believe that the mean time between divisions is t, = 26 min, and that cell death occurs on average after tm = 200 hr. The population starts with 1000 cells. Complete parts (a) through (c). (a) Use the equation N(t) = N, e0-m)t to predict how many cells are present after 3 hours. The number of cells present after 3 hours is. (Do not round until the final answer. Then round to the nearest integer as needed.)
(a) What is the order of magnitude of the number of micro organisms in the human intestinal tract? A typical bacterial length scale is 10-6 m. Estimate the intestinal volume and assume 1% of it is occupied by bacteria. (b) Does the number of bacteria suggest whether the bacteria are beneficial, dangerous, or neutral for the human body? What functions could they serve?
In a person infected with measles, the virus level N (measured in number of infected cells per ml of blood plasma) reaches a peak density at about t 12 days (when a rash appears) and then decreases fairly rapidly as a result of immune response. The area under the graph of N(t), the t-axis, and the lines t = 0 to t = 12, (as shown in the figure) is equal to the total amount of infection needed to develop symptoms (measured in density of infected cells x time). N= f) 1000- 12 21 The function has been modeled by the function (t) = -t(t - 21)(t + 1). Use this model with six subintervals and their midpoints to estimate the total amount of infection (in (infected cells/mL) - day) needed to develop symptoms of measles.t (infected cells/mL) day Need Help? Read It
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