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Stochastic approximations of higher-molecular by bi-molecular reactions.

Tomislav Plesa

Feb 12, 2023

Reactions involving three or more reactants, called higher-molecular reactions, play an important role in mathematical modelling in systems and synthetic biology. In particular, such reactions underpin a variety of important...

Chemical master equation DNA computing Singular perturbation theory Stochastic reaction networks synthetic biology Stochastic Processes Algorithms Models Biological Computer Simulation

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Alternating minimal energy methods for linear systems in higher dimensions

Sergey V. Dolgov, Dmitry V. Savostyanov

Dec 31, 2014

We propose algorithms for the solution of high-dimensional symmetrical positive definite (SPD) linear systems with the matrix and the right-hand side given and the solution sought in a low-rank format. Similarly to density...

Alternating linear scheme Chemical master equation Density matrix renormalization group High-dimensional problems Poisson equation Steepest descent Tensor train format /dk/atira/pure/subjectarea/asjc/2600/2605 name=Computational Mathematics /dk/atira/pure/subjectarea/asjc/2600/2604 name=Applied Mathematics

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Stochastic approximations of higher-molecular by bi-molecular reactions.

Tomislav Plesa

Jan 13, 2023

article Stochastic reaction networks Chemical master equation Singular perturbation theory synthetic biology DNA computing 92B05 92C42 60J28

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Stochastic approximations of higher-molecular by bi-molecular reactions

Tomislav Plesa

Jan 30, 2023