Local theory of a collocation method for Cauchy singular integral equations on an interval

We consider a collocation method for Cauchy singular integral equations on the interval based on weighted Chebyshev polynomials , where the coefficients of the operator are piecewise continuous. Stability conditions are derived using Banach algebra methods, and numerical results are given

Nanomedicines towards targeting intracellular Mtb for the treatment of tuberculosis

Tuberculosis (TB), caused by Mycobacterium tuberculosis (Mtb), causes the most human deaths than any other diseases from a single infectious agent. Treatments are long and costly and have many associated side effects. Intracellular bacilli are slow growing and difficult to target, which is augmenting the emergence of multi?drug resistance. A hallmark trait of TB is the formation of granulomas, chronic cellular aggregates, which limit bacterial growth but provides a survival reservoir where bacilli may disseminate from. Targeting intracellular Mtb is challenging, but nanomedicine may offer a solution. Nanomedicine is a significantly growing research area and offers the potential for specific disease targeting, dosage reduction, and intracellular drug delivery. This review discusses the application of the various forms of nanomedicine towards targeting of Mtb

Experimental confirmation of efficient island divertor operation and successful neoclassical transport optimization in Wendelstein 7-X

We present recent highlights from the most recent operation phases of Wendelstein 7-X, the most advanced stellarator in the world. Stable detachment with good particle exhaust, low impurity content, and energy confinement times exceeding 100 ms, have been maintained for tens of seconds. Pellet fueling allows for plasma phases with reduced ion-temperature-gradient turbulence, and during such phases, the overall confinement is so good (energy confinement times often exceeding 200 ms) that the attained density and temperature profiles would not have been possible in less optimized devices, since they would have had neoclassical transport losses exceeding the heating applied in W7-X. This provides proof that the reduction of neoclassical transport through magnetic field optimization is successful. W7-X plasmas generally show good impurity screening and high plasma purity, but there is evidence of longer impurity confinement times during turbulence-suppressed phases.EC/H2020/633053/EU/Implementation of activities described in the Roadmap to Fusion during Horizon 2020 through a Joint programme of the members of the EUROfusion consortium/ EUROfusio