We had found functions can be used to fix bits [2] by given differences. We use these functions build a message expansion function. In the message expansion function, there are some bits include message bits and incremental bits produced from message bits, these bits will be used as parameter of date-depend function. This message expansion function will fixed at lease n × 5 . 5 bits with given ...

We consider a variant of the game of Cops and Robbers, called Lazy Cops and Robbers, where at most one cop can move in any round. We investigate the analogue of the cop number for this game, which we call the lazy cop number. Lazy Cops and Robbers was recently introduced by Offner and Ojakian, who provided asymptotic upper and lower bounds on the lazy cop number of the hypercube. By coupling th...

Publications are increasingly (often wrongly) being used as research outputs. Furthermore, ‘impacts’ of such publications are often (wrongly as well) measured using ‘citations’. Popular metric, like the ‘Hirsch index’, or ‘h-index’ is used as yardstick for judging the quality of individual researchers. However, there are many controversies around it, whether it is a good yardstick, which could ...

BACKGROUND Placentas are generally round/oval in shape, but "irregular" shapes are common. In the Collaborative Perinatal Project data, irregular shapes were associated with lower birth weight for placental weight, suggesting variably shaped placentas have altered function. METHODS (I) Using a 3D one-parameter model of placental vascular growth based on Diffusion Limited Aggregation (an accep...

Pulse wave velocity (PWV) has been recommended as an arterial damage assessment tool and a surrogate of arterial stiffness. However, the current technology does not allow to measure PWV both continuously and in real-time. We reported previously that peripherally measured ejection time (ET) overestimates ET measured centrally. This difference in ET is associated with the inherent vascular proper...

Anti-angiogenic cancer treatments induce tumor starvation and regression by targeting the tumor vasculature that delivers oxygen and nutrients. Mathematical models prove valuable tools to study the proof-of-concept, efficacy and underlying mechanisms of such treatment approaches. The effects of parameter value uncertainties for two models of tumor development under angiogenic signaling and anti...

conclusions this rare observation supports the role of immunosuppressive therapy in preventing the recurrence of life-threatening vascular lesions in the management of behcet’s disease. introduction arterial involvement in behcet’s disease has been previously described. we report a rare case of a large and long-segment thoracoabdominal aneurysm, which was associated with behcet’s disease and ha...

arteriovenous fistulae traditionally have been placed in the upper extremity. experience with groin hemodialysis access has been discouraging because of high infection rates and associated limb amputation. the aim of this study was to determine infection rates, patency rates, and possible predictive factors for prosthetic thigh angioaccess outcomes in our hemodialysis patient population. a pros...

results 22 patients were male (73.3%) and the mean age was 60.3 ± 10.6 years in our study group. the most common artery for cut off and run off was superior femoral artery in both assessments. proximal section of each artery was the most common anatomical section for cut off and run off. there was a same report of cut off artery by mr-angiography and surgery (kappa coefficient of agreement was ...