Self-image (autoidolon) techniques for the realisation of optical computing type operations

Self-images of a number of spatially periodic (e.g., gratings) and quasiperiodic (e.g., halftone picture) objects have been systematically studied. These studies indicate that self-imaging techniques could be useful in optical computing type operations. It is also established that the Rayleigh relation in the context of self-imaging is quantitatively in error.     

Process and purification for manufacture of a modified insulin intended for oral delivery

Oral delivery of insulin is convenient and physiologically desirable in the treatment of diabetes. However, this route of administration has presented substantial challenges as insulin is degraded enzymatically in the gut, resulting in low bioavailability. We have developed a conjugated insulin product (IN-105) that has high bioavailability and is currently undergoing clinical trials for the treatment of diabetes. A process for the manufacture of IN-105 was developed. Initially, recombinant human insulin was conjugated covalently with a monodisperse, short-chain methoxypolyethylene glycol derivative. The desired product, IN-105, was purified from its closely related species using RP-HPLC and cation exchange chromatography to a purity of 98.5%. The elution pool from cation exchange chromatography was crystallized and lyophilized into the dry active pharmaceutical ingredient.     

Overcrowding estimates for zeroes of Planar and Hyperbolic Gaussian analytic functions

We consider the point process of zeroes of certain Gaussian analytic functions and find the asymptotics for the probability that there are more than m points of the process in a fixed disk of radius r, as . For the planar Gaussian analytic function, , we show that this probability is asymptotic to . For the hyperbolic Gaussian analytic functions, , we show that this probability decays like .In the planar case, we also consider the problem posed by Mikhail Sodin² on moderate and very large deviations in a disk of radius r, as . We partially solve the problem by showing that there is a qualitative change in the asymptotics of the probability as we move from the large deviation regime to the moderate.Research supported by NSF grant #DMS-0104073 and NSF-FRG grant #DMS-0244479.     

Synthesis of Novel 4‐Substituted Coumarins,Docking Studies,and DHODH Inhibitory Activity

Coumarins are the important class of naturally occurring heterocyclic compounds. Activities like antioxidant, antibacterial, anti‐inflammatory, and anticancer have been reported for coumarin derivatives. Present work details the synthesis of substituted coumarin‐4‐pyrrolones as well as coumarin‐4‐acetyl amino acids and their DHODH inhibitory activity, which is a dual target for malaria and cancer. Coumarin‐4‐acetic acids ( 2a – c ) were coupled with different methyl esters of α‐amino acids ( 3 ) giving rise to corresponding coumarin‐4‐acetyl amino acid methyl esters ( 4a – o ), which on hydrolysis under basic condition underwent cyclization forming substituted dihydropyrrole‐2‐ones ( 5a – i ), dihydroindolizine‐3‐ones ( 5j – l ), and dihydropyrrolizin‐3‐one ( 5m – o ). Acidic hydrolysis of the compounds ( 4a – o ) yielded corresponding coumarin‐4‐acetyl amino acids ( 6a – f ). The docking study was performed with the protein 4IGH (obtained from PDB) using Surflex–Dock module. The newly synthesized compounds were tested for DHODH inhibitory activity using Brequinar as the standard. Compound 6b showed remarkable inhibition compared with the standard, and the other compounds with terminal COOH showed moderate inhibition.     

5-Phenylpyridazinones-A serendipitous route from coumarins

A new route of the ring transformation has been discovered during the reaction of 4-bromomethylcoumarins with hydrazine hydrate leading to the formation of pharmacologically important pyridazinones in a single step with very high yields. These so obtained pyridazinones have the potential for further functional group interconversions.     

Strong persistence of an attractor and generalized partial synchronization in a coupled chaotic system

It is widely believed that when two discrete time chaotic systems are coupled together then there is a contraction in the phase space (where the essential dynamics takes place) when compared with the phase space in the uncoupled case. Contrary to such a popular belief, we produce a counter example--we consider two discrete time chaotic systems both with an identical attractor A, and show that the two systems could be nonlinearly coupled in a way such that the coupled system's attractor persists strongly, i.e., it is A?×?A despite the coupling strength is varied from zero to a nonzero value. To show this, we prove robust topological mixing on A?×?A. Also, it is of interest that the studied coupled system can exhibit a type of synchronization called generalized partial synchronization which is also robust.     

Variation of long periodicity in blends of styrene butadiene,styrene copolymer/polyaniline using small angle X-ray scattering data

Small angle X-ray scattering data have been recorded for the blends of styrene butadiene, styrene copolymer/polyaniline using the beamline of the LNLS (Laboratorio Nacional de Luz sincroton-Campinas, Brazil). Employing one-dimensional Hosemann’s paracrystalline model, we have simulated the meridional reflections of these blends in order to compute the long periodicity and hence to find the variation with concentrations of the blends. Within the region of available experimental data we observe that there is a linear relationship between long periodicity and concentration of blends. These parameters are compared with physical measurements like tensile strength to find the structure-property relation in these blends.      

Fibrillar aggregation in cotton cellulose subjected to multiple swelling treatments with alkali

The role of aqueous alkali solutions as swelling agents of cotton cellulose has been studied by various workers and these reagents have been invariably considered to cause lattice disorder in cellulose. The effect of multiple swelling treatments on the cotton cellulose structure has not been studied hitherto. The present study on cotton demonstrates that is the concentration of the swelling agents and the conditions at the time of treatment which determine the resultant order in the final product. The resultant lattice order so attained is shown to be far in excess of any observed in either native or regenerated celluloses or even their hydrolyzed products, with complete retention of their fibrous form. X-ray diffraction and electron microscopy data show conclusively that fibrillar “aggregation” or their “dispersion” can be effectively controlled and are the results of the soda cellulose complexes which form upon alkali treatments. The role of water vis-á-vis the formation of cellulose II is extensively discussed. Studies on sorption and tensile properties of the treated samples lend support to the phenomenon of fibrillar aggregation in cellulosic fibers.