Essays about: "Reaction-Diffusion"

Showing result 1 - 5 of 20 essays containing the word Reaction-Diffusion.

  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

  3. 2. 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

  4. 3. Diffusion and Camera-Noise Modelling for Analysis of Single-Particle Tracking Movies

    University essay from Lunds universitet/Beräkningsbiologi och biologisk fysik - Genomgår omorganisation

    Author : Erik Clarkson; [2022]
    Keywords : reaction-diffusion; camera-noise modelling; single-particle tracking; Gillespie simulations; Physics and Astronomy;

    Abstract : Interactions between T-cells and other body cells is an essential part of the immune system. It involves the binding between surface receptors of the two cells. Specifically, T-cell receptors (TCRs) bind onto pMHC (peptide-loaded major histocompatibility complex) molecules on the partnering cell surface. READ MORE

  5. 4. Turing's model for pattern formation

    University essay from KTH/Fysik

    Author : Oskar Forsström; Oskar Falgén Nikula; [2022]
    Keywords : Reaction-diffusion; Turing pattern; morphogen; Grier-Meinhardt; Schnakenberg; numerical analysis; minimum energy control;

    Abstract : In an attempt to describe how patterns emerge in biological systems, Alan Turing proposed a mathematical model encapsulating the properties of such processes. It details a partial differential equation governing the dynamics of two or more substances, called morphogens, reacting and diffusing in a specific manner, in turn generating what has now come to be denoted as Turing patterns. READ MORE

  6. 5. Modelling of gene regulatory and spatial mechanisms which pattern the early human neural tube

    University essay from Lunds universitet/Beräkningsbiologi och biologisk fysik - Genomgår omorganisation

    Author : Fredrik Bertilsson; [2022]
    Keywords : Biophysics; systems biology; gene regulatory networks; neural tube; isthmic organizer; midbrain-hindbrain boundary; WNT; FGF; morphogens; reaction-diffusion; finite-difference; 3D modelling; Physics and Astronomy;

    Abstract : Tissue patterning during development is thought to be driven largely by gene regulatory responses to spatial gradients of molecular signals, known as morphogens. In this thesis, early patterning of the human neural tube is studied using two different gene regulatory network models. READ MORE