Analytical approach to viscous fingering in a cylindrical Hele-Shaw cell

We report analytical results for the development of the viscous fingering instability in a cylindrical Hele-Shaw cell of radius a and thickness b. We derive a generalized version of Darcy's law in such cylindrical background, and find it recovers the usual Darcy's law for flow in flat, rectangular cells, with corrections of higher order in b/a. We focus our interest on the influence of cell's radius of curvature on the instability characteristics. Linear and slightly nonlinear flow regimes are studied through a mode-coupling analysis. Our analytical results reveal that linear growth rates and finger competition are inhibited for increasingly larger radius of curvature. The absence of tip-splitting events in cylindrical cells is also discussed.Comment: 14 pages, 3 ps figures, Revte

Bio-analytical Assay Methods used in Therapeutic Drug Monitoring of Antiretroviral Drugs-A Review

Background: Several clinical trials, as well as observational statistics, have exhibited that the advantages of antiretroviral [ARV] treatment for humans with Human Immunodeficiency Virus / Acquired Immune Deficiency Syndrome HIV/AIDS exceed their risks. Therapeutic drug monitoring [TDM] plays a key role in optimization of ARV therapy. Determination of ARV's in plasma, blood cells, and other biological matrices frequently requires separation techniques capable of high effectiveness, specific selectivity and high sensitivity. High-performance liquid chromatography [HPLC] coupled with ultraviolet [UV], Photodiode array detectors [PDA], Mass spectrophotometer [MS] detectors etc. are the important quantitative techniques used for the estimation of pharmaceuticals in biological samples. Objective: This review article is aimed to give an extensive outline of different bio-analytical techniques which have been reported for direct quantitation of ARV's. This article aimed to establish an efficient role played by the TDM in the optimum therapeutic outcome of the ARV treatment. It also focused on establishing the prominent role played by the separation techniques like HPLC and UPLC along with the detectors like UV and Mass in TDM. Methods: TDM is based on the principle that for certain drugs, a close relationship exists between the plasma level of the drug and its clinical effect. TDM is of no value if the relationship does not exist. The analytical methodology employed in TDM should: 1) distinguish similar compounds; 2) be sensitive and precise and 3) is easy to use Results: This review highlights the advancement of the chromatographic techniques beginning from the HPLC-UV to the more advanced technique like UPLC-MS/MS. TDM is essential to ensure adherence, observe viral resistance and to personalize ARV dose regimens. It is observed that the analytical methods like immunoassays and liquid chromatography with detectors like UV, PDA, Florescent, MS, MS/MS and Ultra performance liquid chromatography (UPLC)-MS/MS have immensely contributed to the clinical outcome of the ARV therapy. Assay methods are not only helping physicians in limiting the side effects and drug interactions but also assisting in monitoring patient's compliance. Conclusion: The present review revealed that HPLC has been the most widely used system irrespective of the availability of more sensitive chromatographic technique like UPLC.VRAID (ex DIPUC