**6. References**

848 Biomedical Science, Engineering and Technology

0.3 *R P* (0.48) <sup>0</sup> *C*

0.48 0.33 <sup>0</sup> *R PP <sup>k</sup> <sup>C</sup>*

0.33 0.622 0 *<sup>R</sup> C*

> 0 0.55 *<sup>P</sup>* <sup>0</sup>

Since we are trying to find the best values of *R*, *C*, *Pk* and *P*0, the RHS of Equations (A-1) to

0.3 *R Pe* (0.48) *<sup>C</sup>*

0.48 0.33*R PPe <sup>k</sup> <sup>C</sup>*

0.33 0.622*R e C*

In general, we can represent the overall error incurred at any values of *R*, *C*, *Pk* and *P*0 by an

0

(,, , ) *k i*

We can then find the best values of *R*, *C*, *Pk* and *P*0 but solving Equation (A-11) as an optimization problem with the aim to minimize *F*, subjected to the bounded

*FRC P P e*

0 5 0.55 *P e*

5

1

*i*

=

(A-5) can be replaced by an error term so that

objective function *F* so that

constraints:

0

0

0 1

2

0 3

4

+ −= (A-1)

0.48 3.73 0 *Pk <sup>C</sup>* − = (A-2)

+ −−= (A-3)

− += (A-4)

*<sup>C</sup>* − = (A-5)

+ −= (A-6)

0.48 3.73*P e <sup>k</sup> <sup>C</sup>* − = (A-7)

+ −−= (A-8)

− += (A-9)

*<sup>C</sup>* − = (A-10)

<sup>=</sup> ∑ (A-11)

We can rewrite Equations (26) to (30) so that the terms are collected at the LHS, i.e.,

**Solution:** 


[10] Ubran A, Van de Graaff WB, Tobin MJ, Variability of patient-ventilator interaction with pressure support ventilation in patients with chronic obstructive pulmonary disease, *Am J Respiratory Crit Care Med.*, 152(1), 129-136, 1995.
