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Motion planning for the heat equation
SUMMARYThe paper gives an explicit open-loop control, able to approximately steer the one-dimensional heatequationwith control onthe boundaryfromanystate to any otherstate. The controlisobtained
Challenges in microbial ecology: building predictive understanding of community function and dynamics
It is argued that addressing this challenge requires close coordination of experimental data collection and method development with mathematical model building, and that such integration is needed to achieve significant progress in understanding of MC dynamics and function.
Motion planning for a class of partial differential equations with boundary control
We study the heat equation with one space dimension and control on the boundary. We give an explicit parametrization of the trajectories as a power series in the space variable with coefficients
Impact of the Dairy Matrix Structure on Milk Protein Digestion Kinetics: Mechanistic Modelling Based on Mini-pig In Vivo Data
Beyond the individual content in nutrients, it is now established that the matrix structure is also to consider when evaluating the nutritional properties and possible health effects of a food
Flatness-based control of PER protein oscillations in a drosophila model
It is shown how classical flatness-based motion planning techniques allow for fast design of chronomodulated injection schemes achieving circadian rhythm restoration and is representative for a wide number of oscillating biological systems.
Kinetic modelling of lactate utilization and butyrate production by key human colonic bacterial species.
A mathematical model is provided to analyse the production of butyrate by lactate-utilizing bacteria from the human colon and should provide insight into carbohydrate fermentation and short-chain fatty acid cross-feeding by dominant species of the human Colonic microbiota.