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Table 2 Parameters for optimisation of haemodialysis process

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