Sökning: "chemical master equation"

Visar resultat 1 - 5 av 12 avhandlingar innehållade orden chemical master equation.

  1. 1. Numerical methods for the chemical master equation

    Författare :Stefan Engblom; Per Lötstedt; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Scientific Computing; Beräkningsvetenskap;

    Sammanfattning : The numerical solution of chemical reactions described at the meso-scale is the topic of this thesis. This description, the master equation of chemical reactions, is an accurate model of reactions where stochastic effects are crucial for explaining certain effects observed in real life. LÄS MER

  3. 2. Numerical Solution Methods in Stochastic Chemical Kinetics

    Författare :Stefan Engblom; Per Lötstedt; Wilhelm Huisinga; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; stochastic models; chemical master equation; mesoscopic kinetics; Markov property; jump process; moment closure problem; spectral-Galerkin method; high dimensional problem; hybrid methods; time-parallel; homogenization; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Sammanfattning : This study is concerned with the numerical solution of certain stochastic models of chemical reactions. Such descriptions have been shown to be useful tools when studying biochemical processes inside living cells where classical deterministic rate equations fail to reproduce actual behavior. LÄS MER

  4. 3. Multiscale Stochastic Simulation of Reaction-Transport Processes : Applications in Molecular Systems Biology

    Författare :Andreas Hellander; Per Lötstedt; Sverker Holmgren; Samuel Isaacson; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; stochastic simulation; chemical master equation; reaction-diffusion master equation; unstructured mesh; active transport; hybrid methods; URDME; Scientific Computing; Beräkningsvetenskap;

    Sammanfattning : Quantitative descriptions of reaction kinetics formulated at the stochastic mesoscopic level are frequently used to study various aspects of regulation and control in models of cellular control systems. For this type of systems, numerical simulation offers a variety of challenges caused by the high dimensionality of the problem and the multiscale properties often displayed by the biochemical model. LÄS MER

  5. 4. Numerical solution of the Fokker–Planck approximation of the chemical master equation

    Författare :Paul Sjöberg; Per Lötstedt; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Scientific Computing; Beräkningsvetenskap;

    Sammanfattning : The chemical master equation (CME) describes the probability for the discrete molecular copy numbers that define the state of a chemical system. Each molecular species in the chemical model adds a dimension to the state space. LÄS MER

  7. 5. Numerical Methods for Stochastic Modeling of Genes and Proteins

    Författare :Paul Sjöberg; Per Lötstedt; Måns Ehrenberg; Achim Schroll; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; master equation; Fokker-Planck equation; stochastic models; biochemical reaction networks; Scientific Computing; Beräkningsvetenskap;

    Sammanfattning : Stochastic models of biochemical reaction networks are used for understanding the properties of molecular regulatory circuits in living cells. The state of the cell is defined by the number of copies of each molecular species in the model. LÄS MER