In silico exploration of post-burn contraction using uncertainty quantification

Burns can make patients’ lives quite miserable. Apart from prominent and thickened, or hypertrophic, scars, the skin may be characterized by contraction. When this contraction is so severe that the patient loses joint mobility, it is called contracture. Then a patient may have difficulties with sports or other daily activities. The consequence...

Mathematical Aspects of Cell-Based and Agent-Based Modelling for Skin Contraction after Deep Tissue Injury

Burns and other skin traumas occur at various intensities regarding the depth and area of the skin, as well as the involvement of the different skin layers. Worldwide, an estimated six million patients need hospitalisation for burns annually. Furthermore, most severe burn injuries will develop morbidity and unaesthetic scars like contractures...

Mathematical modelling of Fast, High Volume Infiltration in poroelastic media using finite elements

As demand for water increases across the globe, the availability of fresh water in many regions is likely to decrease due to a changing climate, an increase in human population and changes in land use and energy generation. On the other hand, climate scenarios predict extreme periods of drought and rainfall. Heavy rainfall regularly leads to...

Agent-based mathematical modeling of pancreatic cancer growth and several therapies

Cancer is known as one of the leading causes of death in the world with difficult<br/>diagnose at early stages, poor prognosis and high mortality. Animal-based<br/>experiments and clinical trials have always been the main approach for cancer<br/>research, albeit they may have limitations and ethical issues. Mathematicalmodeling<br/>as an...

Computational derivation of conditions for upscalability of bioclogging in pore network models

During the primary oil recovery, wells are drilled into the reservoir, and due to natural driving forces, the oil flows to the surface through these production wells. Unfortunately, the production of oil in this first stage is typically between only five and ten percent of the oil in place in the reservoir. In the secondary oil recovery some...

Mathematical Modelling of Nucleating and Growing Precipitates: Distributions and Interfaces

Steels with higher strength and better formability are increasingly required by the automotive industry because they can provide higher safety, reduce energy consumption and thus lead to a better environmental protection. To meet these requirements, it is a sustainable effort for steel industry to develop high strength formable steels. One of...