Sentences with phrase «ordinary differential equations»

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

Ordinary differential equations typically apply when several variables are a function of time, while partial differential equations get used when a variable is dependent on both time and space, says Michael Reed, a professor of mathematics at Duke University who applies mathematics to physiology and medicine.

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.

The group has considered several alternative methods to account for human behavior, including agent - based models, system dynamics models framed as ordinary differential equations or difference equations, structured social system models in which the human components incorporate different subgroups with differing behaviors and transition rates between groups, and network modeling of belief systems in social networks.

Her research focused on constructing ordinary differential equations to examine the kinetics of HIV evolution within patients.

They implemented ordinary differential equations — a process for describing how things change over time — to improve their ability to infer what these gene relationships might look like and to allow more dynamic simulation of these biological processes over time.

The authors solve a system of ordinary differential equations (ODEs), then convert the ODEs to stochastic differential equations via a global optimization strategy called intermittent diffusion.

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

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.