Numerical techniques for inverse analysis in study of microbial depolymerization processes

Authors

  • Masaji Watanabe Graduate School of Environmental and Life Science, Okayama University, Japan
  • Fusako Kawai Center for Fiber and Textile Science, Kyoto Institute of Technology, Japan

Keywords:

Biodegradation, Polymer, Mathematical model, Numerical simulation, Inverse problem

Abstract

A mathematical model for microbial depolymerization is described. An inverse problems for a molecular factor and a time factor of degradation rate are formulated. Numerical techniques for inverse analysis are illustrated, and numerical results are presented.

References

Watanabe, M., Kawai, F., 2003. Numerical simulation for enzymatic degradation of poly (Vinyl alcohol). Polymer Degrad. Stabil., 81, 393-399.

Watanabe, M., Kawai, F., 2005. Numerical simulation of microbial depolymerization process of exogenous type. In Rob May and Roberts, A.J., editors, Proceedings of 12th Computational Techniques and Applications Conference, CTAC-2004, Melbourne, Australia in September 2004. ANZIAM J., 46(E), C1188-C1204.

Watanabe, M., Kawai, F., 2006. Mathematical modelling and computational analysis of enzymatic degradation of xenobiotic polymers. Appl. Math. Model., 30, 1497-1514.

Watanabe, M., Kawai, F., 2008. Modeling and analysis of biodegradation of xenobiotic polymers based on experimental results. In Mercer, G.N., Roberts, A.J., editors, Proceedings of the 8th Biennial Engineering Mathematics and Applications Conference, EMAC-2007. ANZIAM J., 49, C457-C474.

Watanabe, M., Kawai, F., 2010. Effects of microbial population in degradation process of xenobiotic polymers. In Howlett, P., Nelson, M., Roberts, A.J., editors, Proceedings of the 9th Biennial Engineering Mathematics and Applications Conference, EMAC-2009. ANZIAM J., 51, C682-C696.

Watanabe, M., Kawai, F., 2011. Study of biodegradation of xenobiotic polymers with change of microbial population. In McLean, W., Roberts, A.J., editors, Proceedings of the 15th Biennial Computational Techniques and Applications Conference, CTAC-2010. ANZIAM J., 52, C410-C429.

Watanabe, M., Kawai, F., 2012a. Modeling biodegradation of polyethylene with memoryless behavior of metabolic consumption. J. Bioremed. Biodegrad., 3(146).

Watanabe, M., Kawai, F., 2012b. Study on microbial depolymerization processes of xenobiotic polymers with mathematical modelling and numerical simulation. In Nelson, M., Coupland, M., Sidhu, H., Hamilton, T., Roberts, A.J., editors, Proceedings of the 10th Biennial Engineering Mathematics and Applications Conference, EMAC-2011. ANZIAM J., 53, C203-C217.

Watanabe, M., Kawai, F., 2015a. Numerical techniques for inverse problems from modeling of microbial depolymerization processes. Proceedings of Intelisys. Int. J. Appl. Eng. Res., 11(8), 5461-5468.

Watanabe, M., Kawai, F., 2015b. Solutions of inverse problems for biodegradation of xenobiotic polymers. AIP Conf. Proc., 1707, Conference date: 18-21 August, Location: Yogyakarta, Indonesia.

Watanabe, M., Kawai, F., 2016a. Numerical study of inverse problems in modeling and simulation of microbial depolymerization processes. Proceedings of 9th International Conference on Environmental and Geological Science and Engineering (EG’16). Int. J. Chem. Chem. Eng. Syst., 1, 45-55.

Watanabe, M., Kawai, F., 2016b. Numerical study of microbial depolymerization process with the Newton-Raphson method and the Newton’s method. Int. J. Eng. Res. Sci., 2, 119-130.

Watanabe, M., Kawai, F., Shibata, M., Yokoyama, S., Sudate, Y., Hayashi, S., 2004. Analytical and computational techniques for exogenous depolymerization of xenobiotic polymers. Math. Biosci., 192, 19-37.

Watanabe, M., Kawai, F., Tsuboi, S., Nakatsu, S., Ohara, H., 2007. Study on enzymatic hydrolysis of polylactic acid by endogenous depolymerization model. Macromolecular Theory and Simulations, 16, 619-626.

Published

2017-09-20

How to Cite

Watanabe, M. ., & Kawai, F. . (2017). Numerical techniques for inverse analysis in study of microbial depolymerization processes. Scientific Journal of Environmental Sciences, 6(9), 304-311. Retrieved from https://sjournals.com/index.php/sjes/article/view/363

Issue

Section

Original Article