BE 230

 

Computer Lab Exercise 4 – Biological Modeling: Data Estimation

 

This computer lab exercise will prepare you for the next topic of our lesson: Biological Modeling.

 

Table 1 shows an estimate of cumulative HIV infections worldwide.

  1. Using ListPlot function of Mathematica (section 1.9.9 Plotting List of Data), graph the data, Year as x axis; Number as y axis. Label axes accordingly. To make your graph clearer, connect the points using Joined->True syntax.
  2. Find a mathematical equation that will describe the trend. (section 3.8.1 Curve Fitting, use linear fit)
  3. If the trend continued, what would have been the estimated HIV infection in year 2000? (Hint: using your solution to no. 2 above, replace independent variable, say x, with the value 2000. For reference, see section 1.4.2 Values for Symbols)
  4. What would be the estimated HIV infection in year 2002?

 

 

Table 1. Estimated cumulative HIV infection worldwide (Brown, L.R., M. Renner, and C. Flavin. 1997. Vital Signs 1997. W.W. Norton, New York, p. 85)

Year

HIV infection

Year

HIV infection

1980

0.2

1988

8.7

1981

0.6

1989

10.7

1982

1.1

1990

13

1983

1.8

1991

15.5

1984

2.7

1992

18.5

1985

3.9

1993

21.9

1986

5.3

1994

25.9

1987

6.9

1995

30.6