I will present a dynamic, stochastic, and discrete agent-based model which rests mainly on graph theory and local optimizationa.
The work presented here, however, use stochastic and discrete model settings to investigate the various aspects of opinion formation as discussed in subsequent sections of this exposition.
The stochastic and discrete nature of the rates may be seen clearly in these chaotic data.
We study the stochastic binding of single Ca2+ ions to receptors in the cleft using two different models of diffusion: a stochastic and discrete Random Walk (RW) model, and a deterministic continuous model.
It is an important and contentious issue whether diffusion in signaling micro domains can be modeled deterministically and continuously, or if stochastic and discrete Random Walk (RW) methods should be employed (1– 6).
Hereafter, we will relate to this model, i.e., the continuous and deterministic description of Ca2+ diffusion together with a stochastic and discrete description of single receptors, as "the continuous model".
Similar to stochastic simulation, PMC is based on a stochastic and discrete-state modeling approach via Continuous Time Markov Chains (CTMCs).
In general, the approaches used to model the dynamics of a biochemical reaction may be broadly classified into three categories, stochastic, kinetic, and discrete modeling.
SBML can also describe partial differential equations (PDEs), stochastic differential equations (SDEs) and discrete stochastic simulation models, which are not yet included in the SBML test suite.
The greedy and discrete stochastic iterative algorithms are commonly used for beam-selection process [49, 50].
