Biomedical subjects

Y Leong Yeow

Publications and source records attributed to Y Leong Yeow.

5 recordsLinked to original sources

PubMed2005

Applying Tikhonov regularization to process pendant droplet tensiometry data.

The problem of obtaining the first and second derivatives of the profile of a pendant droplet is formulated as an integral equation of the first kind. This equation is solved by Tikhonov regularization in which the method of general cross validation is used to guide the selection of the regularization parameter. These derivatives are converted into mean curvature as a function of droplet height. Surface tension is then obtained by regression computation between the mean curvature and two possible algebraic expressions suggested by the Laplace-Young equation. This way of obtaining surface tension is demonstrated by applying it to a number of published droplet profiles. Some of the problems encountered are discussed and solutions suggested.

Models, Theoretical↗

PubMed2005

A general computational method for converting normal spectra into derivative spectra.

The mathematical problem of converting a normal spectrum into the corresponding first- and second-derivative spectra is formulated as an integral equation of the first kind. Tikhonov regularization is then applied to solve the spectral conversion problem. The end result is a set of linear algebraic equations that takes in as input the original spectrum and produces as output the second-derivative spectrum, which is then integrated to yield the first-derivative spectrum. Noise amplification is kept under control by adjusting the regularization parameter (guided by generalized cross-validation) in the algebraic equations. The performance of this procedure is demonstrated by applying it to different types of spectral data taken from the literature.

Algorithms↗

PubMed2004

Cleaving of S-mandelonitrile catalyzed by S-hydroxynitrile lyase from Hevea brasiliensis--a kinetic investigation based on the rate curve method.

The progress curves of conversion of racemic-mandelonitrile (R-MN) at different concentrations to benzaldehyde (BA) and hydrogen cyanide (HCN), catalyzed by S-hydroxynitrile lyase from Hevea brasiliensis, together with the enantiomeric excess curves of R-MN are converted into individual progress curves of the S- and R-enantiomers. They reveal that, under the prevailing experimental conditions, the non-enzymatic conversion is sufficiently slow compared to its enzyme-catalyzed counterpart, so that it can be ignored in a simplified analysis. Tikhonov regularization is then used to convert the progress curves of the S-enantiomer into reaction rate curves. These curves are used to determine the rate constants in the rate expression based on a three-step reversible ordered Uni-Bi reaction scheme that describes this enzyme-catalyzed reaction. The resulting rate constants are compared against published data. Some of the problems encountered and their solution are briefly discussed.

Acetonitriles↗

PubMedDate not supplied

Obtaining the shear stress versus shear rate relationship and yield stress of blood from capillary viscometry data by Tikhonov regularization.

This paper describes a procedure, based on Tikhonov regularization, for extracting the shear stress versus shear rate relationship and yield stress of blood from capillary viscometry data. The relevant equations and the mathematical nature of the problem are briefly described. The procedure is then applied to three sets of capillary viscometry data of blood taken from the literature. From each data set the procedure computes the complete shear stress versus shear rate relationship and the yield stress. Since the procedure does not rely on any assumed constitutive equation, the computed rheological properties are therefore model-independent. These properties are compared against one another and against independent measurements. They are found to be in good agreement for shear stress greater than 0.1 Pa but show significant deviations for shear stress below this level. A possible way of improving this situation is discussed.

Blood Viscosity↗

PubMedDate not supplied

Model-independent relationships between hematocrit, blood viscosity, and yield stress derived from Couette viscometry data.

This paper describes a procedure, based on Tikhonov regularization, for obtaining the shear rate function or equivalently the viscosity function of blood from Couette viscometry data. For data sets that include points where the sample in the annulus is partially sheared the yield stress of blood will also be obtained. For data sets that do not contain partially sheared points, provided the shear stress is sufficiently low, a different method of estimating the yield stress is proposed. Both the shear rate function and yield stress obtained in this investigation are independent of any rheological model of blood. This procedure is applied to a large set of Couette viscometer data taken from the literature. Results in the form of shear rate and viscosity functions and yield stress are presented for a wide range of hematocrits and are compared against those reported by the originators of the data and against independently measured shear properties of blood.

Blood Viscosity↗