Current research projects are in the areas shown below.
• Hyperbranched polymers
Our group's work in this area is focused on the synthesis and derivatization of new hyperbranched polymers. Our starting point is usually the cationic ring-opening polymerization of glycidol (1). This inexpensive, commercially available epoxide monomer can be polymerized to yield polyglycidol (2), a hyperbranched, water-soluble polyether-polyol with numerous terminal hydroxyl groups. Polyglycidol (PGly) may be considered a highly branched analog of polyethylene glycol (PEG), a well-known biocompatible polymer. Current research initiatives in the group center around creating derivatives (3) of polyglycidol (i) by copolymerization with other monomers and (ii) by reaction with small molecules of biological interest.

For example, PGly can easily be activated by reaction with standard sulfonyl chlorides such as tosyl chloride or tresyl chloride. The activated PGly reacts readily with, e.g., proteins, peptides and amino acids. We are currently examining such bioconjugates for enhanced immunological and bactericidal properties.
References
1. Y.-C. Huang, A. T. Royappa, S. Tundel, K. Tsukamoto and V. Sharma, “Biocompatibility of Polyglycidol with Human Peripheral Blood Mononuclear Cells,” Journal of Applied Polymer Science 111, p. 2275 (2009).2. A. T. Royappa and R. L. McDaniel, “Copolymerization of Glycidol with Functionalized Phenyl Glycidyl Ethers,” Journal of Applied Polymer Science 97, p. 1462 (2005).
3. A. T. Royappa, M. L. Vogt and V. Sharma, “Composition and Long-term Stability of Polyglycidol Prepared by Cationic Ring-Opening Polymerization,” Journal of Applied Polymer Science 91, p. 1344 (2004).
4. A. T. Royappa, “Synthesis and Characterization of a Hyperbranched Copolymer,” Journal of Chemical Education 79, p. 81 (2002).
5. A. T. Royappa, N. Dalal and M. W. Giese, “Amphiphilic Copolymers of Glycidol with Nonpolar Epoxide Comonomers,” Journal of Applied Polymer Science 82, p. 2290 (2001).
6. A. T. Royappa, “On the Copolymerization of Epichlorohydrin and Glycidol,” Journal of Applied Polymer Science 65, p. 1897 (1997).
• Multivariable fitting of chemical data
Multivariable analysis has long been generally accessible with the advent of built-in fitting routines in mathematicalsoftware packages. For example, Mathcad (Parametric Technology Corp.) contains the genfit routine, incorporating the Levenberg-Marquardt algorithm, for fitting multivariable data. This routine has been successfully usedby our group to fit data sets of chemical relevance, such as experimental diatomic interaction potential data (generally Rydberg-Klein-Rees, or RKR data) and process data on the dependence of paper quality on manufacturing variables in paper-making. Our group is currently at work creating novel, easy-to-use, closed-form mathematical functions capable of fitting experimental RKR data for a variety of diatomic molecules. Examples of our fitting results are shown below for the diatomic interaction potential of dihydrogen (left) and for paper quality vs. temperature and pH (right).
References
1. A. T. Royappa, V. Suri, S. E. Genet and D. J. Pope, “Some New Closed-Form Empirical Modified Lennard-Jones Potentials,” Journal of Undergraduate Chemistry Research 9, p. 102 (2010).2. A. T. Royappa, V. Suri and J. R. McDonough, “Comparison of Empirical Closed-Form Functions for Fitting Diatomic Interaction Potentials of Ground State First- and Second-Row Diatomics,” Journal of Molecular Structure 787, p. 209 (2006).
3. H. Zhang, A. F. Nitzman and A. T. Royappa, “Statistical Modeling and Sizing Determination Guides for Dispersed Rosin Sizes,” TAPPI Journal 3, p. 3 (2004).
4. A. F. Nitzman and A. T. Royappa, “Sizing Variations of Dispersed Rosin Sizes with Fortification, Hardness, pH and Temperature,” TAPPI Journal 2, p. 8 (2003).