Sentences with phrase «differential equation model»

In this work, the goal of our differential equation model is to find an effective optimal vaccination strategy to minimize the disease related mortality and to reduce the associated costs.

Not exact matches

«We want to look at how an individual person responds to an individual drug by deriving and using sophisticated mathematical models, such as differential equations.»

This mathematical model provides a system of differential equations connecting speed, acceleration, propulsion forces and friction, as well as runners» energy, including maximal oxygen uptake (VO2max) 3 and anaerobic energy4.

«The paper formulated the Grosseteste model in terms of differential equations that can be solved with modern numerical techniques,» says cosmologist Avi Loeb at the Harvard - Smithsonian Center for Astrophysics in Cambridge, who was not involved in the work.

In this study, researchers constructed a mathematical model, based on ordinary differential equations, linking the different molecular processes associated with spine expansion together.

Elliot Landaw uses differential equations to model transport across the blood - brain barrier and applies methods of adaptive control to chemotherapy for cancer.

Ouellette uses differential equations to model the spread of zombies, and derivatives to craft the perfect diet.

With respect to solvers, in 1993, he developed the world's fastest ordinary differential equation solver in a three - dimensional model for a given level of accuracy and applied it to atmospheric chemistry.

Mathematical modelling and computer simulation technices, including differential equation and agent - based models

The framework is based on solving nonlinear coupled ordinary and partial differential equations that model the kinetics of the following phenomena: (1) mass transport in the electrolyte and electrode using the Nernst - Planck equation; (2) electrical potential distribution using the Poisson equation; (3) interfacial reactions that determine the boundary conditions or source terms (using the Butler - Volmer equation or constant - flux conditions); and (4) evolution of the electrode / electrolyte interface using the Allen - Cahn equation within the phase - field modeling (PFM) approach.

We develop systems of ordinary differential equations to address the generic features of the initial phase of spheroid formation and an agent - based three - dimensional computational model to focus on spatial differences in the process.

You should come to work with me if you're interested in the evolution and coevolution of interacting species, and if you're excited to do fieldwork in the desert, execute experiments in the greenhouse, collect and crunch population genomic data, model evolutionary processes with differential equations and computer simulations — or maybe to do several of those things.

We have built a linear ordinary differential equation (ODE) based model for the kinetics of β - selection in the presence or absence of Itpkb.

I mentioned «boundary conditions», «differential equations», «parameters», «state variables of a model», «finite - difference (or spectral) approximation of NSE».

No, bender, just understanding computer modeling doesn't mean you understand climatology as well, any more than someone who can program a runge - kutta differential equation solver but never took an astronomy course can do solar modeling.

SB2010 also introduces in section 2 a simple theoretical model that anyone with a basic knowledge of differential equations would be able to use to demonstrate for themselves the behaviour evident in figure 3a.

This is not based on sufficient knowledge of the actual models but on, what I know more generally about hyperbolic partial differential equations and problems in solving them numerically.

I have literally had to write out differential calculus equations proving that the Earth can be modeled as a sphere, and with real - time power from the Sun, and that it makes things very hot, and that this produces wildly different results than a flat Earth requiring the invention of a greenhouse effect.

The ensemble Kalman filter (EnKF) is a recursive filter suitable for problems with a large number of variables, such as discretizations of partial differential equations in geophysical models.

I model non-stationary multivariate biological time series using non-linear differential equations.

That's what eliminates integration, without an exponentially fading impulse response function (the classic homogeneous solution of linear differential equations), as a tenable physical model.

The energy balance models have differential equations than satisfy physical constraints, and they have solutions that include periodic oscillations — period.

The consequences of the latter are of great importance to climate change modelling, indicating that continuous differential equation dynamic models can not work.

This, plus the fact that remarkable close simulations of the time series are obtained with a model consisting of a few nonlinear differential equations suggest the intriguing possibility that there are simple rules governing the complex behavior of global paleoclimate.»

The modelling comment referred to the intrinsic instability in the Navier - Stokes partial differential equations within limits of feasible values of input variables and boundary conditions.

In a system such as the climate, we can never include enough variables to describe the actual system on all relevant length scales (e.g. the butterfly effect — MICROSCOPIC perturbations grow exponentially in time to drive the system to completely different states over macroscopic time) so the best that we can often do is model it as a complex nonlinear set of ordinary differential equations with stochastic noise terms — a generalized Langevin equation or generalized Master equation, as it were — and average behaviors over what one hopes is a spanning set of butterfly - wing perturbations to assess whether or not the resulting system trajectories fill the available phase space uniformly or perhaps are restricted or constrained in some way.

In the so - called model numerics, a great deal of care is used in formulating the differential equation solution approach so as to explicitly conserve a number of quantities (mass, energy, water substance, angular momentum, linear momentum, vorticity) that are all important for the accurate representation of atmospheric dynamics.

You could also model it directly as a phase «phi» and z using a transformation of variables so as to obtain a pair of differential equations

As for the data, models contain wonderful differential equations that manipulate the data in wonderful ways; however, all of that data manipulation is nothing more than a sophisticated method of extrapolating the future from existing graphs.

The SGM model is derived by integrating a simple differential equation, which produces a constant.

This paper illustrates a method for operationalizing affect dynamics using a multilevel stochastic differential equation (SDE) model, and examines how those dynamics differ with age and trait - level tendencies to deploy emotion regulation strategies (reappraisal and suppression).

bThe explained fraction (XF) of the social network differential in the coefficient of depressive symptom for widowed elders was calculated by the following equation: (coefficient of Model 1 − coefficient of Model 2) / coefficient of Model 1.