Model-guided design has become a standard approach to engineering biomolecular circuits
in synthetic biology. However, the stochastic nature of biomolecular reactions is often …

The chemical Langevin equation and the associated chemical Fokker-Planck equation are
well-known continuous approximations of the discrete stochastic evolution of reaction …

Biochemical reaction networks often involve reactions that take place on different time
scales, giving rise to “slow” and “fast” system variables. This property is widely used in the …

The predictive ability of stochastic chemical reactions is currently limited by the lack of
closed form solutions to the governing chemical master equation. To overcome this …

Deterministic models of chemical reactions systems have been used successfully in
studying chemical kinetics problems. However, in biochemical systems (eg cellular systems …

Gillespie's algorithm, also known as the Stochastic Simulation Algorithm (SSA), is an exact
simulation method for the Chemical Master Equation model of well-stirred biochemical …

Stochastic mathematical models are essential for an accurate description of biochemical
processes at the cellular level. The effect of random fluctuations may be significant when …

The excitability of cells will be facilitated by voltage gated ion channels. Although, these
channels are accommodating individually by a multiple number of gates. The effects of ion …