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This thesis mainly explores how the molecular mobility of lipid and protein components in the outermost layer of the skin, the stratum corneum (SC), varies with different conditions and upon adding foreign compounds. These studies require methods that makes it possible to detect and characterize the minor amount of fluid components in the highly ordered solid SC sample with resolved molecular info
The circular economy is becoming a globalised phenomenon, but the regional emergence of circular business models differs significantly. By adopting a circular business institutionalisation perspective which bridges theory on institutional work and “ecologies of business models” we study the emergence of circular business models in Japan, a region with recent circular policy and business commitment
First, we study geometric variants of the standard set cover motivated by assignment of directional antenna and shipping with deadlines, providing the first known polynomial-time exact solutions. Next, we consider the following general (non-necessarily geometric) capacitated set cover problem. There is given a set of elements with real weights and a family of sets of the elements. One can use a s
We consider the least-squares (L2) minimization problems in multiple view geometry for triangulation, homography, camera resectioning and structure-and-motion with known rotatation, or known plane. Although optimal algorithms have been given for these problems under an Linfinity cost function, finding optimal least-squares solutions to these problems is difficult, since the cost functions are not
In modeling unsteady compressible viscous flow problems with the compressible Navier-Stokes equations, time adaptive implicit methods are needed to solve the initial value problems that arise when discretizing the equations in accordance with the method of lines. The methods most used in industrial code today are a family of multistep methods called BDF-methods. Because BDF-methods with higher ord
This thesis presents a number of results and algorithms for the numerical solution of problems in geometric computer vision. In geometric computer vision one tries to extract geometric information about the world and the observer from a sequence of images. Estimation of scene structure and camera motion using only image data has been one of the central themes of research in photogrammetry, geodesy
We study the complexity of the dynamic partial sum problem in the cell-probe model. We give the model access to nondeterministic queries and prove that the problem remains hard. We give the model access to the right answer +/-1 as an oracle and prove that the problem remains hard. This suggests which kind of information is hard to maintain. From these results, we derive a number of lower bounds fo
An initial-boundary value problem to a system of nonlinear partial differential equations, which consists of a hyperbolic and a parabolic part, is taken into consideration, The problem is discretised by a compact finite difference method. An approximation of the numerical solution is constructed, at which the difference scheme is linearised. Nonlinear convergence is proved using the stability of t
Often in clinical practice, a diagnosis of alcohol dependence or abuse does not provide enough information to establish an adequate treatment plan. Hence, multidimensional instruments have been constructed better to describe the extent and character of a patient's alcohol problem. The purpose of the current article is to present the AVI-R2, a self-report test that provides a standardized and diffe
In this paper, parameter-uniform numerical methods for a class of singularly perturbed one-dimensional parabolic reaction-diffusion problems with two small parameters on a rectangular domain are studied. Parameter-explicit theoretical bounds on the derivatives of the solutions are derived. The method comprises a standard implicit finite difference scheme to discretize in temporal direction on a un
A mathematical framework is introduced for optimization of antenna near-field imaging problems, based on the multipole expansion of the electromagnetic field, the Fisher information to quantify the quality of data and use of modern interior point convex optimization techniques. We consider the general problem of optimizing the measurement sensor allocation for parameter estimation in distributed s
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