Markovian dynamics on complex reaction networks

J Goutsias, G Jenkinson - Physics reports, 2013 - Elsevier
Complex networks, comprised of individual elements that interact with each other through
reaction channels, are ubiquitous across many scientific and engineering disciplines …

Stochastic chemical kinetics: A review of the modelling and simulation approaches

P Lecca - Biophysical reviews, 2013 - Springer
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 …

MEDYAN: mechanochemical simulations of contraction and polarity alignment in actomyosin networks

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 …

Simulation of biochemical reactions with time-dependent rates by the rejection-based algorithm

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 …

[图书][B] Simulation algorithms for computational systems biology

L Marchetti, C Priami, VH Thanh - 2017 - Springer
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 …

Efficient rejection-based simulation of biochemical reactions with stochastic noise and delays

VH Thanh, C Priami, R Zunino - The Journal of chemical physics, 2014 - pubs.aip.org
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 …

Simulating biological processes: stochastic physics from whole cells to colonies

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 …

Stochastic simulation algorithms for computational systems biology: Exact, approximate, and hybrid methods

G Simoni, F Reali, C Priami… - … : Systems Biology and …, 2019 - Wiley Online Library
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 …

The merging of biological and electronic circuits

JJY Teo, R Sarpeshkar - Iscience, 2020 - cell.com
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 …

Discreteness-induced concentration inversion in mesoscopic chemical systems

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 …