This model involving differential dependence of individual 3' splice sites on PUF60 and U2AF65 predicts an alteration in splicing patterns when one of the proteins becomes limiting.
Our results suggest a model involving differential enzymatic activity of a common, promoter-bound corepressor complex resulting in predominantly DNA hypermethylation, in KRAS-positive CRC cells, or predominantly H3K27me3, in hESCs.
These models are expressed directly in terms of the local time-averaged turbulent shear stress and heat flux density, and utilize a theoretically based algebraic correlating equation for the former and a purely empirical one for the latter rather than the customary heuristic differential models involving the eddy diffusivities.
In particular, the Banach contraction principle provides a constructive method of finding a unique solution for models involving various types of differential and integral equations.
Recently it have been proved that the differential models involving nonlocal derivatives of fractional order arise in many engineering and scientific disciplines as the mathematical modeling of systems and processes in many fields, for instance, physics, chemistry, aerodynamics, electrodynamics of complex medium, polymer rheology, and so forth (see [1 6]).
Global modeling of AFBRs involves differential mass and momentum balance equations for the three phases, differential mass balance equations for phase components, and algebraic equations to compute the biochemical and physico-chemical processes that take place in the bioreactor.
Today engineering and science researchers routinely confront problems in mathematical modeling involving nonlinear differential equations.
The metabolic process can be described using a dynamic model involving nonlinear differential equations.
To do this, we developed a simple deterministic mathematical model involving ordinary differential equations (ODEs).
Aspects covered include bond graph descriptions, differential equations and differential algebraic equation descriptions, state-variable models, transfer function models, models involving distributed parameter elements and an introduction to some commonly used modelling and simulation software tools.
