Matematické modelování šíření léčivých látek ve sklivci

• Thesis title in Czech: Matematické modelování šíření léčivých látek ve sklivci
• Thesis title in English: Mathematical modeling of drug distribution in the vitreous
• Key words: oko, viskoelasticita, anizotropní materiál, šíření léčiv
• English key words: eye, viscoelasticity, anisotropic, drug distribution
• Academic year of topic announcement: 2016/2017
• Thesis type: dissertation
• Department: Mathematical Institute of Charles University (32-MUUK)
• Supervisor: doc. Mgr. Vít Průša, Ph.D.
• Author: hidden - assigned and confirmed by the Study Dept.
• Date of registration: 17.10.2016
• Date of assignment: 17.10.2016
• Confirmed by Study dept. on: 20.10.2016

Guidelines

Joint study programme with Ruprecht-Karls-Universität Heidelberg, 2nd year of study takes place at Charles University.

a) Get familiar with modern theory of constitutive relations, in particular theory of viscoelasticity.
b) Get familiar with modern theory of constitutive relations, in particular theory of mixtures.
c) Develop a thermodynamically consistent model for anisotropic viscoelastic solid (vitreous).

References

K. R. Rajagopal and A. R. Srinivasa. Modeling anisotropic fluids within the framework of bodies with multiple
natural configurations. J. Non-Newton. Fluid Mech., 99(2-3):109–124, 2001

Morton E. Gurtin, Eliot Fried, and Lallit Anand. The mechanics and thermodynamics of continua. Cambridge
University Press, Cambridge, 2010

R. W. Ogden. Nonlinear elastic deformations. Ellis Horwood Series: Mathematics and its Applications. Ellis
Horwood Ltd., Chichester, 1984

J. Málek and V. Průša. Derivation of equations for continuum mechanics and thermodynamics of fluids. In Y. Giga
and A. Novotny, editors, Handbook of Mathematical Analysis in Mechanics of Viscus Fluids. Springer, 2016.
Submitted

J. Malek, K. R. Rajagopal, and K. Tuma. On a variant of the Maxwell and Oldroyd-B models within the context of
a thermodynamic basis. Int. J. Non-Linear Mech., 76:42–47, 2015