text: Yo, check it out, we delved into the serum IgG antibodies' time course,
  Three pertussis vaccine antigens, let me break it down, no remorse:
  PT, that's pertussis toxin, FHA, filamentous hemagglutinin too,
  And Prn, pertactin, we studied 'em all, you know it's true.
  
  We gathered sera from vaccinated peeps, just four years old,
  Sample size, let's see, we had 44, 44, 23, and 23, behold!
  Then we compared the responses, after natural infection took place,
  With Bordetella pertussis, ages 1 to 8, in the same space.
  
  Now listen up, 'cause we used a brand-new method for this task,
  A mathematical model to describe the responses, no need to ask.
  We estimated the peak level and decay rate, biologically sound,
  And compared 'em between natural infections and vaccines renowned.
  
  When it comes to PT, the responses from vaccines were smaller,
  Compared to natural infection, they tend to decay, no caller.
  But FHA and Prn, when present in vaccines, they shine,
  Peak levels higher than natural infections, but they decline.
  
  As expected, the Dutch whole cell vaccine didn't raise as much,
  Lower antibody responses compared to acellular vaccines and such.
  With this model, we can analyze the kinetics, yo, it's so fly,
  Comparing vaccine-induced responses to natural infections, oh my!
  
  Over a long follow-up period, we see the whole picture,
  Understanding the dynamics, ain't it a dope mixture?
  So remember, we broke it down with science and precision,
  Studying vaccine and infection, that's our mission.