Optimal filtering for bilinear system states and its application to polymerization process identification

The paper presents the optimal nonlinear filter for quadratic state and linear observation equations confused with white Gaussian disturbances. The general scheme for obtaining the optimal filter in case of polynomial state and linear observation equations is announced.

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Optimal filtering for partially measured polynomial system states

Proceedings of the 2005, American Control Conference, 2005. ◽

10.1109/acc.2005.1470606 ◽

2005 ◽

Cited By ~ 10

Author(s):

M. Basin ◽

M. Skliar

Keyword(s):

Polynomial System ◽

Optimal Filtering ◽

System States

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Optimal filtering for polynomial system states with polynomial multiplicative noise

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.1055 ◽

2006 ◽

Vol 16 (6) ◽

pp. 303-314 ◽

Cited By ~ 45

Author(s):

Michael Basin ◽

Joel Perez ◽

Mikhail Skliar

Keyword(s):

Multiplicative Noise ◽

Polynomial System ◽

Optimal Filtering ◽

System States

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The Effects of Amines on the Esterase Activities of Thrombin and Thrombokinase and on Several Clotting Tests

Thrombosis and Haemostasis ◽

10.1055/s-0038-1649165 ◽

1974 ◽

Vol 31 (02) ◽

pp. 309-318

Author(s):

Phyllis S Roberts ◽

Raphael M Ottenbrite ◽

Patricia B Fleming ◽

James Wigand

Keyword(s):

Choline Chloride ◽

Polymerization Process ◽

Ammonium Bromide ◽

Bovine Thrombin ◽

One Stage ◽

Human Proteins ◽

Rate Of Hydrolysis ◽

The One ◽

Hydrolysis Of Esters ◽

Hydrolysis Of

Summary1. Choline chloride, 0.1 M (in 0.25 M Tris. HCl buffer, pH 7.4 or 8.0, 37°), doubles the rate of hydrolysis of TAME by bovine thrombokinase but has no effect on the hydrolysis of this ester by either human or bovine thrombin. Only when 1.0 M or more choline chloride is present is the hydrolysis of BAME by thrombokinase or thrombin weakly inhibited. Evidence is presented that shows that these effects are due to the quaternary amine group.2. Tetramethyl ammonium bromide or chloride has about the same effects on the hydrolysis of esters by these enzymes as does choline chloride but tetra-ethyl, -n.propyl and -n.butyl ammonium bromides (0.1 M) are stronger accelerators of the thrombokinase-TAME reaction and they also accelerate, but to a lesser degree, the thrombin-TAME reaction. In addition, they inhibit the hydrolysis of BAME by both enzymes. Their effects on these reactions, however, do not follow any regular order. The tetraethyl compound is the strongest accelerator of the thrombokinase-TAME reaction but the tetra-ethyl and -butyl compounds are the strongest accelerators of the thrombin-TAME reaction. The ethyl and propyl compounds are the best (although weak) inhibitors of the thrombokinase-BAME and the propyl compound of the thrombin-BAME reactions.3. Tetra-methyl, -ethyl, -n.propyl and -n.butyl ammonium bromides (0.01 M) inhibit the clotting of fibrinogen by thrombin (bovine and human proteins) at pH 7.4, imidazole or pH 6.1, phosphate buffers and they also inhibit, but to a lesser degree, a modified one-stage prothrombin test. In all cases the inhibition increases regularly as the size of the alkyl group increases from methyl to butyl. Only the ethyl com pound (0.025 M but not 0.01 M), however, significantly inhibits the polymerization of bovine fibrin monomers. It was concluded that inhibition of the fibrinogen-thrombin and the one-stage tests by the quaternary amines is not due to any effect of the com pounds on the polymerization process but probably due to inhibition of thrombin’s action on fibrinogen by the quaternary amines.

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