From: Application of dynamic optimisation for planning a haemodialysis process
First patient 71 y.o. male | |||
tD=240[min] | |||
Run no. 1: \(L^{urea}_{EC}=6.0 \text {[mmol/L]}\), \(L^{urea}_{IC}=7.0 \text {[mmol/L]}\) | |||
Run no. 2: \(L^{urea}_{EC}=5.0 \text {[mmol/L]}\), \(L^{urea}_{IC}=6.0 \text {[mmol/L]}\) | |||
Run no. 3: \(L^{urea}_{EC}=6.0 \text {[mmol/L]}\), \(L^{urea}_{IC}=7.0 \text {[mmol/L]}\), \(L_{IC}^{PO} = 0.85 \text {[mmol/L]}\) | |||
Run no. 1: \(Q_{B}^{min}=250 \text {[ml/min]}\), \(Q_{B}^{max}=300 \text {[ml/min]}\), \(Q_{D}^{min}=400 \text {[ml/min]}\), \(Q_{D}^{max}=550 \text {[ml/min]}\) | |||
Run no. 2: \(Q_{B}^{min}=250 \text {[ml/min]}\), \(Q_{B}^{max}=400 \text {[ml/min]}\), \(Q_{D}^{min}=400 \text {[ml/min]}\), \(Q_{D}^{max}=650 \text {[ml/min]}\) | |||
Run no. 3: \(Q_{B}^{min}=250 \text {[ml/min]}\), \(Q_{B}^{max}=300 \text {[ml/min]}\), \(Q_{D}^{min}=400 \text {[ml/min]}\), \(Q_{D}^{max}=550 \text {[ml/min]}\) | |||
\(C^{{PO}_{4}}_{min}=0.70 \text {[mmol/L]}\), \(C^{{PO}_{4}}_{max}=0.85 \text {[mmol/L]}\) | |||
α=0.05, β=300.0, \(L_{min}^{UFR}=800 \text {[ml]}\), \(L_{max}^{UFR}=1200 \text {[ml]}\), \(U_{ufr}^{min}= 0 \text {[ml/min]}\), \(U_{ufr}^{max}= 20 \text {[ml/min]}\), κ=0.65 | |||
K0A(urea)=600[ml/min], \(K_{D}^{{PO}_{4}}=220 \text {[ml/min]}\), \(K_{r}^{urea}=0 \text {[ml/min]}\), Kufr=12.5[ml/(min·mmHg)] | |||
\(K_{IE}^{urea}=750.0 \text {[ml/min]}\), \(K_{IE}^{{PO}_{4}}=350 \text {[ml/min]}\), V(0)=48430[ml], UFR(tD)=980[ml] | |||
Input data - patient parameters - as in Table 1 | |||
Constant optimal controls | |||
Run no. | QB [ml/min] | QD [ml/min] | Uufr [ml/min] |
1 | 300 | 550 | 4.08 |
2 | 400 | 650 | 4.08 |
3 | 300 | 504 | 4.08 |
Second patient 55 y.o. male | |||
tD=240[min] | |||
\(L^{urea}_{EC}=5.0 L^{urea}_{IC}=5.5 \text {[mmol/L]}\) | |||
\(Q_{B}^{min}=250 \text {[ml/min]}\), \(Q_{B}^{max}=300 \text {[ml/min]}\), \(Q_{D}^{min}=400 \text {[ml/min]}\), \(Q_{D}^{max}=550 \text {[ml/min]}\) | |||
\(C^{{PO}_{4}}_{min}=0.70 \text {[mmol/L]}\), \(C^{{PO}_{4}}_{max}=0.85 \text {[mmol/L]}\) | |||
α=0.05, β=300.0, \(L_{min}^{UFR}=2500 \text {[ml]}\), \(L_{max}^{UFR}=2900 \text {[ml]}\), \(U_{ufr}^{min}= 0 \text {[ml/min]}\), \(U_{ufr}^{max}= 20 \text {[ml/min]}\), κ=0.65 | |||
K0A(urea)=600[ml/min], \(K_{D}^{{PO}_{4}}=220 \text {[ml/min]}\), Kufr=68.0[ml/(min·mmHg)], \(K_{r}^{urea}=0 \text {[ml/min]}\) | |||
\(K_{IE}^{urea}=750.0 \text {[ml/min]}\), \(K_{IE}^{{PO}_{4}}=350 \text {[ml/min]}\), V(0)=43440[ml], UFR(tD)=2700[ml] | |||
Input data - patient parameters - as in Table 1 | |||
Constant optimal controls | |||
Run no. | QB [ml/min] | QD [ml/min] | Uufr [ml/min] |
1 | 300 | 550 | 11.25 |