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  1. 1. Image-driven simulation of brain tumors using a reaction-diffusion mathematical model

    University essay from Linköpings universitet/Avdelningen för medicinsk teknik

    Author : Kristos Qiqi; [2023]
    Keywords : brain tumor; cancer; mathematical model; simulation; magnetic resonance images; hjärntumör; cancer; matematisk model; simulering; magnetresonanstomografi bilder;

    Abstract : Brain tumors pose a big challenge in the field of neuro-oncology. Gliomas are the largest subgroup. Magnetic resonance imaging is a non-invasive tool for detecting and characterizing these tumors. Mathematical models, such as the reaction-diffusion equation, can be used for understanding the intricate behavior of gliomas. READ MORE

  2. 2. Characterization of Pressure and Velocity Fields in Acoustophoresis Using Particle Tracks

    University essay from KTH/Tillämpad fysik

    Author : Jonathan Karlsson; [2023]
    Keywords : Acoustofluidics; Acoustophoresis; Ultrasonic Standing Waves; Acoustic fields; Particle tracking; Bio marking; Akustofluidik; Akustofores; Stående Ultraljuds Vågor; Akustiska fält; Particle tracking; Bio-markering;

    Abstract : This master’s thesis explores the possibility of calculating and using the pressure andvelocity fields responsible for acoustophoresis. The goal was to use simulated data,similar to two-dimensional particle tracks from a specific microfluidic platform, toestimate the force potential and solve the partial differential equation (PDE) thatgoverns the relationship between the force potential and the acoustic fields. READ MORE

  3. 3. On the strategic abilities gained by using knowledge-based strategies for multi-agent teams playing against nature

    University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Author : Sam Maltin; Simon Rosén; [2023]
    Keywords : ;

    Abstract : Analogous to how the Knowledge-Based Subset Construct (KBSC) can transform games of imperfect information against nature into games of perfect information, making it easier to find winning strategies for objectives in these games, the multi-agent knowledge-based subset construct (MKBSC) can be used to find winning strategies in multi-agent games of imperfect information. The difference between the two algorithms is that the generalized version can be applied multiple times, which is interpreted as the agent’s considering not just their own knowledge of the game, but also their knowledge of the other agents, and the knowledge of the other agent’s knowledge about their own knowledge, etc. READ MORE

  4. 4. On linear Reaction-Diffusion systems and Network Controllability

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Rebecka Aulin; Felicia Hage; [2023]
    Keywords : Turing s model of morphogenesis; FDM; FEM; Controllability; Minimal Control; Least Energy Control;

    Abstract : In 1952 Alan Turing published his paper "The Chemical Basis of Morphogenesis", which described a model for how naturally occurring patterns, such as the stripes of a zebra and the spots of a leopard, can arise from a spatially homogeneous steady state through diffusion. Turing suggested that the concentration of the substances producing the patterns is determined by the reaction kinetics, how the substances interact, and diffusion. READ MORE

  5. 5. Analysis of combined response of railway bridge and track : A parametric finite element model of the bridge across Bryngeån

    University essay from KTH/Bro- och stålbyggnad

    Author : Moa Nolinder; [2023]
    Keywords : ;

    Abstract : When designing a railway bridge it is common to consider and designthe bridge structure and the track structure separately. However, theyare connected and that interaction generates a combined response and aforce transfer between them. READ MORE