Mathematical Model of the Impact of a Nonantibiotic Treatment for Clostridium difficile on the Endemic Prevalence of Vancomycin-Resistant Enterococci in a Hospital Setting
Table 2
Distribution of patients and health care workers with or without VRE colonization on the basis of antibiotic versus nonantibiotic treatment of CDAD.
Patient colonization/HCW contamination status
AB status
Model with AB only
Model with AB and non-AB
Change with non-AB
Difference with non-AB
Patient Steady State Values
uncolonized CDAD− patient
off
195.176
202.555
increases
7.390
uncolonized CDAD− patient
on
140.383
143.553
increases
3.170
colonized CDAD− patient
off
10.7197
9.0598
decreases
−1.6599
colonized CDAD− patient
on
47.3343
38.4389
decreases
−8.8954
uncolonized CDAD+ patient
on
4.7467
2.4307
decreases
−2.3160
colonized CDAD+ patient
on
1.6721
0.6798
decreases
−0.9923
uncolonized CDAD+ patient
off
0.0
2.4535
increases
2.4535
colonized CDAD+ patient
off
0.0
0.6570
increases
0.6570
Patient Totals at Steady State
total patients
400.03
399.828
Total VRE-colonized patients
59.7361
48.83555
decreases
−10.8905
total CDAD+ patients
6.4188
6.2210
decreases
−0.1978
total CDAD+ patients on AB
6.4188
3.1105
decreases
−3.3083
total patients on AB
194.136
185.102
decreases
−9.034
Percentage of Patients Colonized at Steady State
% of all patients colonized
14.930%
12.214%
decreases
−2.716%
% CDAD− patients colonized
14.749%
12.068%
increases
−2.681%
% CDAD+ patients colonized
26.050%
21.488%
decreases
−4.562%
HCW Steady State Values
uncontaminated HCW
95.3347
96.1513
increases
0.8166
contaminated HCW
4.6653
3.8487
decreases
−0.8166
CDAD = Clostridium difficile-associated disease; VRE = vancomycin-resistant enterococci; HCW = health care worker; CDAD+ = Clostridium difficile-associated disease positive; CDAD− = clostridium difficile-associated disease negative; AB = antibiotic.