activity
20102019
most citedHybrid Numerical Solution of the Chemical Master Equation

39 citations · 56 across the 6 of their papers we have counts for

collaborators

6 papers

q-bio.MN2019★ 3 cited

Approximate Numerical Integration of the Chemical Master Equation for Stochastic Reaction Networks

Linar Mikeev, Werner Sandmann

Numerical solution of the chemical master equation for stochastic reaction networks typically suffers from the state space explosion problem due to the curse of dimensionality and…

math.NA2014

Model Reconstruction for Moment-based Stochastic Chemical Kinetics

Andreychenko Alexander, Mikeev Linar, Wolf Verena

Based on the theory of stochastic chemical kinetics, the inherent randomness and stochasticity of biochemical reaction networks can be accurately described by discrete-state contin…

math.NA2014★ 8 cited

Reconstruction of Multimodal Distributions for Hybrid Moment-based Chemical Kinetics, Supporting Information

Alexander Andreychenko, Linar Mikeev, Verena Wolf

The stochastic dynamics of biochemical reaction networks can be accurately described by discrete-state Markov processes where each chemical reaction corresponds to a state transiti…

math.NA2014★ 1 cited

Maximum Entropy Reconstruction for Discrete Distributions with Unbounded Support

Alexander Andreychenko, Linar Mikeev, Verena Wolf

The classical problem of moments is addressed by the maximum entropy approach for one-dimensional discrete distributions. The numerical technique of adaptive support approximation…

q-bio.QM2011★ 5 cited

Parameter Identification for Markov Models of Biochemical Reactions

Aleksandr Andreychenko, Linar Mikeev, David Spieler +1

We propose a numerical technique for parameter inference in Markov models of biological processes. Based on time-series data of a process we estimate the kinetic rate constants by…

q-bio.QM2010★ 39 cited

Hybrid Numerical Solution of the Chemical Master Equation

Thomas A. Henzinger, Maria Mateescu, Linar Mikeev +1

We present a numerical approximation technique for the analysis of continuous-time Markov chains that describe networks of biochemical reactions and play an important role in the s…