Many airway sensory units respond to both lung inflation and deflation. Whether those responses to opposite stimuli come from one sensor (one-sensor theory) or more than one sensor (multiple-sensor theory) is debatable. One-sensor theory is commonly presumed in the literature. This article proposes a multiple-sensor theory in which a sensory unit contains different sensors for sensing different...

In this paper we compare various preconditioners for the numerical solution of partial differential equations. We compare the well-known balancing preconditioner used in domain decomposition methods with a so-called deflation preconditioner. We prove that the effective condition number of the deflated preconditioned system is always, i.e., for all deflation vectors and all restrictions and prol...

Modern treatments of structured Principal Component Analysis often focus on the estimation of a single component under various assumptions or priors, such as sparsity and smoothness, and then the procedure is extended to multiple components by sequential estimation interleaved with deflation. While prior work has highlighted the importance of proper deflation for ensuring the quality of the est...

BACKGROUND Intermittent pneumatic compression (IPC) has been successfully used in the treatment of venous ulcers, although the optimal setting of pressure, inflation and deflation times has not yet been established. The aim of this study was to compare the effect of two different combinations of IPC pump settings (rapid vs slow) in the healing of venous ulcers. MATERIAL/METHODS 104 patients w...

5 Some Techniques to accelerate convergence in the QR algorithm 8 5.1 Deflation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 5.2 The Wilkinson shift . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 5.3 Obtaining the eigenvectors . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 5.4 Ad hoc shifts . . . . . . . . . . . . . . . . . . . . . . . . . . ...

The role played by both lung stretch and lung deflation components of the pulmonary vagus has been studied, in order to throw further light on the changes in lung mechanics which underlie the lung deflation receptor activity and hence the activation of respiration during an asthma attack. The discharge pattern of the lung stretch receptors varies from unit to unit, but also in one and the same ...

The C-method is an exact method for analyzing gratings and rough surfaces. This method leads to large-size dense complex non-Hermitian eigenvalue. In this paper, we introduce a parallel QR algorithm that is specifically designed for the C-method. We define the “early shift” for the matrix according to the observed properties. We propose a combination of the “early shift”, Wilkinson’s shift and ...

In analogy to the PCA setting, the sparse PCA problem is often solved by iteratively alternating between two subtasks: cardinality-constrained rank-one variance maximization and matrix deflation. While the former has received a great deal of attention in the literature, the latter is seldom analyzed and is typically borrowed without justification from the PCA context. In this work, we demonstra...