A method for evaluating the ultrafiltration volume (UFV) during time t (v (t)) in vivo from that in vitro of artificial kidney (AK) is proposed. In this case, followings are assumed; (1) ultrafiltration rate is proportional to effective filtration area (S) and pressure difference (ΔP) loaded on a membrane, and reciprocally proportional to viscosity of blood (η(t)), and (2)η(t) can be expressed in terms of the amount of hematocrit (H(t)) only; η (t)=aH(t)
2+b.
The equation relating UFV in vivo with that in vitro under the same ultrafiltration time t can be finely expressed as;
where, t indicates time after the starting of ultrafiltration, V
b, o is total volume of blood used in vitro, suffix o indicates initial value of the experiment, and the suffix (') indicates the value of in vivo and the non-suffix the value of in vitro. From eq. (1) UFV in vivo can be estimated from the data of Ho, H
o', V
b, o and v (t) when we adopt the experimental condition of ΔP'=ΔP and S'=S.
The coincidence between the value predicted from eq. (1) and the observed value in vivo was satisfactory.
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