PARAMETERS ESTIMATION USING ABC TECHNIQUE OF MHD PULSATILE FLOW OF A NON-NEWTONIAN FLUID IN POROUS BLOOD VESSELS

Resumo

In this work, parameter estimates of a magnetohydrodynamic model (MDH) representing the

transient pulsatile blood flow were performed, considering blood rheology as a third-degree non-
Newtonian fluid, through a porous blood vessel, under the action of a magnetic field, pressure gradient

and subjected to an externally imposed periodic acceleration field. The direct model (MHD) is solved
by applying the Method of Lines (MOL). For the application of the inverse problem via Approximate
Bayesian Computation (ABC), the sensitivity coefficient was first analyzed to define which parameters
should be estimated simultaneously. The algorithm used was an adaptation of ABC SMC proposed by
Toni et. al., (2009), where verification was performed by simulated measurement generation at different
levels of uncertainty (1%, 5%, and 10%) and considering different particle quantities (200 and 500).
The results show the efficiency of this algorithm to estimate the parameters of mathematical models of
this nature.