[PDF] Top 20 Simplifying Stochastic Mathematical Models of Biochemical Systems

... deterministic models of chemical reaction systems may be grouped into sensitivity analysis methods [7], lumping methods [8,9] and time-scale analysis methods ...to systems with rapid and slow ... See full document

... stochastic simulation. Indeed, whenever the population of a species is changed by a reaction firing, the propensities of all the dependent reactions has to be recomputed. Even though a dependency graph can reduce ... See full document

... biological systems have traditionally been mod- eled using dierential ...biological systems has been published in form of deterministic dierential ...as stochastic sim- ulation for those ...equation ... See full document

... dynamic systems described by Hammerstein mathematical models with unknown, time-varying ...nonlinear stochastic system that can be described by a Hammerstein stochastic ... See full document

... within Biochemical Sys- tems Theory (BST; [1-4]) is recognized as a particularly effective modeling framework for both tasks, since it has a mathematically convenient structure and because every parameter has a ... See full document

... for stochastic dynamical systems is a very natural ...when stochastic volatility models are considered it is necessary to build ad hoc statistical ... See full document

... a simplifying assumption, and that incorporating delays would give a more realistic model due to the possible long distance between the nodes or bad weather or some other ... See full document

... of stochastic models have appeared to correctly deal with extremely low number of molecules and large fluctuations in reaction kinetics [2, 18, 34, ...a stochastic system is described by the chemical ... See full document

... and Hong (2003), and copula functions have been successfully applied to the database formulation for the reliability analysis of highway bridges, and to various multivariate simulation studies in civil, mechanical and ... See full document

... is stochastic, but that the case where lead time is deterministic and varying with the lot size has thus far not been studied in a setting with multiple ...where stochastic influences on the replenishment ... See full document

... backward stochastic dif- ferential equations (BSDEs in short) driven by marked point ...a stochastic representation to the value function of the insiders problem in the previous ...a stochastic ... See full document

... For model comparison in the training efficiency, we use the same hardware (i.e., Intel Core i7-6700 CPU and NVIDIA GeForce GTX 1070 GPU) to train both the baseline models and the simpli- fied models. The ... See full document

... adequate mathematical instrument for the study of renewable ...present models of systems with a set of renewable resources, a mathematical model for the study of the changes of the individual ... See full document

... abstract models and the differences in probability distribution of the processes, ...abstract models provides the best trade off in precision: it is desirable to achieve little deviation in both the output ... See full document

... aerospace systems and its traditional modeling may be divided into: a) three-dimensional (space) geometry and kinematics, and b) rigid-body dynamics and the flu id dynamics through which it ...following ... See full document

... in mathematical models of physical systems, large ...These models are described with matrices rare showing weak interconnection between the large ...large systems is insufficiently ... See full document

... of stochastic branching processes should refer to assembly units of ventilation ...ventilation systems with certain values of technical parameters, combined into groups of ...type. Stochastic ... See full document

... a mathematical model of the uniform still fl exible rope in resting ...execute mathematical modeling any fl exible fl exible rope in resting water, made from material as heavy of water, when (the polyamides ... See full document

... The first problem com m only found when constructing mathematical presentations o f reaction networks is the occurrence o f dependent reactions. These pose a great problem as dependencies renders a model ... See full document

... is a realization of a stochastic process on a probability space where the measure on the space is such that a form of ergodicity holds. For the purposes of this paper, it is sufficient to require the ergodicity in ... See full document