2D and 3D numerical modelling of multilayer detachment folding and salt tectonics

Numerical modelling was performed to study the dynamics of multilayer detachment folding and salt tectonics. In the case of multilayer detachment folding, analytically derived diagrams show several folding modes, half of which are applicable to crustal scale folding. 3D numerical simulations are in agreement with 2D predictions, yet fold interactions result in complex fold patterns. Pre-existing salt diapirs change folding patterns as they localize the initial deformation. If diapir spacing is much smaller than the dominant folding wavelength, diapirs appear in fold synclines or limbs.rnNumerical models of 3D down-building diapirism show that sedimentation rate controls whether diapirs will form and influences the overall patterns of diapirism. Numerical codes were used to retrodeform modelled salt diapirs. Reverse modelling can retrieve the initial geometries of a 2D Rayleigh-Taylor instability with non-linear rheologies. Although intermediate geometries of down-built diapirs are retrieved, forward and reverse modelling solutions deviate. rnFinally, the dynamics of fold-and-thrusts belts formed over a tilted viscous detachment is studied and it is demonstrated that mechanical stratigraphy has an impact on the deformation style, switching from thrust- to folding-dominated. The basal angle of the detachment controls the deformation sequence of the fold-and-thrust belt and results are consistent with critical wedge theory.rn

Numerical modelling of fluid-structure interaction with application in hemodynamics

The thesis deals with numerical algorithms for fluid-structure interaction problems with application in blood flow modelling. It starts with a short introduction on the mathematical description of incompressible viscous flow with non-Newtonian viscosity and a moving linear viscoelastic structure. The mathematical model consists of the generalized Navier-Stokes equation used for the description of fluid flow and the generalized string model for structure movement. The arbitrary Lagrangian-Eulerian approach is used in order to take into account moving computational domain. A part of the thesis is devoted to the discussion on the non-Newtonian behaviour of shear-thinning fluids, which is in our case blood, and derivation of two non-Newtonian models frequently used in the blood flow modelling. Further we give a brief overview on recent fluid-structure interaction schemes with discussion about the difficulties arising in numerical modelling of blood flow. Our main contribution lies in numerical and experimental study of a new loosely-coupled partitioned scheme called the kinematic splitting fluid-structure interaction algorithm. We present stability analysis for a coupled problem of non-Newtonian shear-dependent fluids in moving domains with viscoelastic boundaries. Here, we assume both, the nonlinearity in convective as well is diffusive term. We analyse the convergence of proposed numerical scheme for a simplified fluid model of the Oseen type. Moreover, we present series of experiments including numerical error analysis, comparison of hemodynamic parameters for the Newtonian and non-Newtonian fluids and comparison of several physiologically relevant computational geometries in terms of wall displacement and wall shear stress. Numerical analysis and extensive experimental study for several standard geometries confirm reliability and accuracy of the proposed kinematic splitting scheme in order to approximate fluid-structure interaction problems.

Preparation and functional characterisation of recombinant silicatein-alpha from the sponge Suberites domuncula

The marine world is an immense source of biodiversity that provides substances with striking potentials in medicinal chemistry and biotechnology. Sponges (Porifera) are marine animals that represent the most impressive example of organisms possessing the ability to metabolise silica through a family of enzymes known as silicateins. Complex skeletal structures (spicules) made of pure biogenic silica (biosilica) are produced under physiological conditions. Biosilica is a natural material comprising inorganic and organic components with unique mechanical, optical, and physico-chemical properties, including promising potential to be used for development of therapeutic agents in regenerative medicine. Unravelling the intimate physiological mechanisms occurring in sponges during the construction of their siliceous spicules is an on-going project, and several questions have been addressed by the studies proposed by our working group. In this doctoral work, the recombinant DNA technology is exploited for functional and structural characterisation of silicatein. Its precursors are produced as fusion proteins with a chaperone tag (named TF-Ps), and a robust method for the overexpression of native soluble proteins in high concentrations has been developed. In addition, it is observed and proven experimentally that the maturation of silicatein is an autocatalytic event that: (i) can be modulated by rational use of protease inhibitors; (ii) is influenced by the temperature of the environment; (iii) only slightly depends on the pH. In the same experimental framework, observations on the dynamics in the maturation of silicateins allow a better understanding of how the axial filaments form during the early stages of spicule construction. In addition, the definition of new distinct properties of silicatein (termed “structure-guiding” and “structure-forming”) is introduced. By homology models and through comparisons with similar proteins (the cathepsins), domains with significant surface hydrophobicity are identified as potential self-assembly mediators. Moreover, a high-throughput screening showed that TF-Ps could generate crystals under certain conditions, becoming promising for further structural studies. With the goal of optimise the properties of the recombinant silicatein, implementation of new production systems are tried for the first time. Success in the expression of silicatein-type proteins in insect and yeast cells, constitute a promising basis for further development, towards the establishment of an efficient method for the production of a high-value pure and soluble protein.