A review of the physical principles that are the ground of the stochastic formulation of chemical kinetics is presented along with a survey of the algorithms currently used to …
K Popov, J Komianos, GA Papoian - PLoS computational biology, 2016 - journals.plos.org
Active matter systems, and in particular the cell cytoskeleton, exhibit complex mechanochemical dynamics that are still not well understood. While prior computational …
VH Thanh, C Priami - The Journal of chemical physics, 2015 - pubs.aip.org
We address the problem of simulating biochemical reaction networks with time-dependent rates and propose a new algorithm based on our rejection-based stochastic simulation …
The dynamics of molecular systems is an essential tool of systems biology. It helps figuring out what is the effect of the perturbation of a system, or what is the best dose for a drug or …
We propose a new exact stochastic rejection-based simulation algorithm for biochemical reactions and extend it to systems with delays. Our algorithm accelerates the simulation by …
TM Earnest, JA Cole… - Reports on Progress in …, 2018 - iopscience.iop.org
The last few decades have revealed the living cell to be a crowded spatially heterogeneous space teeming with biomolecules whose concentrations and activities are governed by …
Nowadays, mathematical modeling is playing a key role in many different research fields. In the context of system biology, mathematical models and their associated computer …
Biological circuits and systems within even a single cell need to be represented by large- scale feedback networks of nonlinear, stochastic, stiff, asynchronous, non-modular coupled …
R Ramaswamy, N González-Segredo… - Nature …, 2012 - nature.com
Molecular discreteness is apparent in small-volume chemical systems, such as biological cells, leading to stochastic kinetics. Here we present a theoretical framework to understand …