Return to search

Curvature effects on a simplified reaction-diffusion model of biodegradation

The biodegradation process of some types of polymers occurs due to many different factors including
their morphology, structure and chemical composition. Although this is a complicated process, most
of its important stages like the diffusion of monomers and the hydrolysis reactions have been modeled
phenomenologically through reaction-diffusion equations, where the properties of the polymers were
encompassed. Using a simplified reaction-diffusion model for the biodegradation of polymers,
in this contribution we study the possible effects of the curvature of the system’s geometry in the
degradation process, which is characterized by the interaction of the corresponding reaction rate and
the diffusion coefficient. To illustrate the problem of diffusion on a curved surface we consider the
surface of a cylinder and of the so-called Gaussian bump. We show how the degradation process is
affected by the curvature of the system for the simplified model.

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:31634
Date13 September 2018
CreatorsChacón-Acosta, Guillermo, Núnez-López, Mayra, Santiago, José A.
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/acceptedVersion, doc-type:article, info:eu-repo/semantics/article, doc-type:Text
Rightsinfo:eu-repo/semantics/openAccess
Relation5, urn:nbn:de:bsz:15-qucosa2-315695, qucosa:31569

Page generated in 0.0016 seconds