A three-dimensional discrete model for approximating the deformation of a viral capsid subjected to lying over a flat surface in the static and time-dependent case
Abstract
In this paper, we present a three-dimensional discrete model governing the deformation of a viral capsid, modelled as a regular icosahedron and subjected not to cross a given flat rigid surface on which it initially lies in correspondence of one vertex only. First, we set up the model in the form of a set of variational inequalities posed over a non-empty, closed and convex subset of a suitable space. Second, we show the existence and uniqueness of the solution for the proposed model. Third, we numerically test this model and we observe that the outputs of the numerical experiments comply with physics. Finally, we establish the existence of solutions for the corresponding time-dependent version of the obstacle problem under consideration.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Sep 23, 2022
- Source ID
- 10.1142/s0219530522400024
Entities
People
- Bogdan Dragnea
- Kristen White
- Paolo Piersanti
- Roger Temam
Organizations
- Army Research Office
- Indiana University
- Indiana University Bloomington
- National Science Foundation