PARAMETER ESTIMATION OF THE MECHANICAL BEHAVIOR OF THE ARTERY USING A NONLINEAR LEAST SQUARE METHOD WITH A NOISE MODEL

摘要

Although it is well known that blood vessels adapt and remodel in response to various biomeehanical stimuli, quantifying changes in constitutive relation corresponding to environmental changes is still challenging. Especially, when the dimension of blood vessel is small, the uncertainties in experimental measurements become significant and make it difficult to precisely estimate parameters of constitutive relations for mechanical behavior of the blood vessel. Hence without considering measurement error in displacement, a conventional nonlinear least square (NLS) method results in a biased parameter estimation.