M ovement of cargo through the secretory pathway of eukaryotic cells occurs as a discontinuous process involving the activity of 50–80-nm vesicles (28). Vesicles forming on the endoplasmic reticulum (ER) by the COPII coat machinery (35) were first detected as coated elevations on transitional elements directly facing the Golgi apparatus. Subsequently, intermediates harboring ER-derived cargo we...

The study of discontinuities and nonlinear change has been a fruitful endeavor across the sciences, as these shifts can provide a window into the organization of complex systems and the processes that are associated with transition. A common assumption in psychotherapy research has been that change is gradual and linear. The research designs and statistics used to study change often reflect thi...

)). ( ( )] [( ξ β ξ u g u x x = = (4) Problems of this type arise when we consider a diffusion equation with nonlinear localized chemical reactions. As a result of the reactions the derivatives are discontinuous across the interfaces (local sites of reactions). Some 2D problems with jump conditions, that depend on the solution on the interface are considered by J. Kandilarov and L. Vulkov [2,3,...

The coactivation of prefrontal and hippocampal networks in oscillatory rhythms is critical for precise information flow in mnemonic and executive tasks, yet the mechanisms governing its development are still unknown. Here, we demonstrate that already in neonatal rats, patterns of discontinuous oscillatory activity precisely entrain the firing of prefrontal neurons and have distinct spatial and ...

This paper presents our recent progress toward a fully automated system for cryo-electron microscopy that integrates instrument control, computer vision algorithms and machine learning techniques. It describes our image analysis strategies for detection and selection of filaments in highly noisy images using multi-level perceptual organization. At the signal level, we use the Canny edge detecto...