I read the paper by Taylor-Robinson et al with interest with regard to modelling the decline in forced expiratory volume in 1 second (FEV1) in patients with cystic fibrosis (CF). The authors have made the assumption that expressing spirometry results as a per cent of predicted (PP) is a valid way to use lung function over a wide age range. Young adult patients with cystic fibrosis die with abso...

An approach is presented for coupled chaotic systems with weak coherent motion, from which we estimate the upper bound value for the absolute phase difference in phase synchronous states. This approach shows that synchronicity in phase implies synchronicity in the time of events, a characteristic explored to derive an equation to detect phase synchronization, based on the absolute difference be...

This work aims at introducing some energy operators linked to the Teager-Kaiser energy operator and expands it from time to space in the real domain. We then show the decomposition of the functions of space and time differentiable at least twice in R using those energy operators. The second part of the work focuses on using the energy operators to redefine the general wave equation. The method ...