Research Article

Stochastic Modeling of Particle Deposition in Lungs of Cystic Fibrosis Patients

Table 2

Results of deposition modeling in healthy subjects and CF patients. Besides constant and random obstruction of the airways, lung disease has been additionally simulated by a continuous enlargement of the alveoli (AD: alveolar diameter), and the creation of asymmetric breathing cycles (IT: inhalation time, ET: exhalation time). *Random scaling assuming a maximum decrease of the airway calibers of 60% (note: results are shown for one stochastically generated lung).

Infant (1 year)
HealthyConstant scalingRandom scaling
40% 60% 0–20% 0–40% 0–60%

Extrathoracic0.91%0.92%0.85%1.12%1.14%1.05%
Bronchial10.20%17.00%19.70%12.70%15.20%17.70%
Alveolar0.42%0.31%0.26%0.40%0.32%0.29%

Total11.53%18.23%20.81%14.22%16.66%19.04%

Rand. scal.* & emphysemaRand. scal.* & asym. b.c.
AD = 500 μmAD = 750 μmAD = 1 mmET = 1.5 ITET = 2.0 IT

Extrathoracic1.34%1.23%1.32%0.91%0.93%
Bronchial11.61%10.53%9.23%12.10%11.40%
Alveolar0.35%0.27%0.13%0.53%0.45%

Total13.30%12.03%10.68%13.54%12.78%

Child (5 years)
HealthyConstant scalingRandom scaling
40% 60% 0–20% 0–40% 0–60%

Extrathoracic1.49%1.45%1.34%1.48%1.52%1.42%
Bronchial17.90%31.80%38.10%19.10%28.70%34.60%
Alveolar 2.71%3.06%2.52%2.85%3.06%2.90%

Total22.10%36.31%41.96%23.43%33.28%38.92%

Rand. scal.* & emphysemaRand. scal.* & asym. b.c.
AD = 500 μmAD = 750 μmAD = 1 mmET = 1.5 ITET = 2.0 IT

Extrathoracic1.49%1.56%1.67%1.32%1.30%
Bronchial19.00%17.80%16.51%24.00%22.30%
Alveolar2.40%1.30%0.69%3.60%3.30%

Total22.99%20.66% 18.87%28.92%27.90%

Adult
HealthyConstant scalingRandom scaling
40% 60% 0–20% 0–40% 0–60%

Extrathoracic3.20%3.18%3.15%3.20%3.18%3.18%
Bronchial26.10%33.80%43.30%27.40%31.90%41.20%
Alveolar11.00%13.90%14.40%11.60%12.40%13.50%

Total40.30%50.88%60.85%42.20%47.48%57.88%

Rand. scal.* & emphysemaRand. scal.* & asym. b.c.
AD = 500 μmAD = 750 μmAD = 1 mmET = 1.5 ITET = 2.0 IT

Extrathoracic3.21%3.20%3.23%3.18%3.20%
Bronchial32.10%31.50%30.90%36.50%35.80%
Alveolar7.50%6.30%4.90%12.50%12.10%

Total42.81%41.00%39.03%52.18%51.10%