Kinetic interpretation of log-logistic dose-time response curves

Focke, Walter Wilhelm; Westhuizen, Isbe Van der; Musee, N; Loots, Mattheus Theodor

doi:10.1038/s41598-017-02474-w

Cited by 29 publications

(19 citation statements)

References 48 publications

(60 reference statements)

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“…When curve fitting is attempted to determine the functional form of F ( N ), a good fit was obtained for the dose-response four parameter logistic function 9-10 ,…”

Section: Methods and Discussionmentioning

confidence: 99%

Evolution of the COVID Pandemic: A Technique for Mathematical Analysis of Data

Tennakone

DeSilva

Wimalasena

et al. 2020

Preprint

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The analysis of COVID-19 statistics in different regions of the world with the intention of understanding the trend of progression of the pandemic is a task of paramount importance.Publicly available data includes cumulative number of cases, new cases each day, and the mortality. Extracting information from this data necessitates mathematical modeling. In this note a simple technique is adopted to determine the trend towards stabilized elimination of the infection, as implicated by saturation of the cumulative number of cases. Results pertaining to several representative regions of the world are presented. In several regions, evidence there to the effect that the pandemic will come to an end. The estimated saturation values of the cumulative numbers are indicated.

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“…When curve fitting is attempted to determine the functional form of F ( N ), a good fit was obtained for the dose-response four parameter logistic function 9-10 ,…”

Section: Methods and Discussionmentioning

confidence: 99%

Evolution of the COVID Pandemic: A Technique for Mathematical Analysis of Data

Tennakone

DeSilva

Wimalasena

et al. 2020

Preprint

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“…To extract fusion half-times from the fusion kinetics data we fitted the fluorescence traces to the Hill-like equation (36):…”

Section: Methodsmentioning

confidence: 99%

Membrane fusion and drug delivery with carbon nanotube porins

Siggel

Camacho

et al. 2021

Proc. Natl. Acad. Sci. U.S.A.

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Drug delivery mitigates toxic side effects and poor pharmacokinetics of life-saving therapeutics and enhances treatment efficacy. However, direct cytoplasmic delivery of drugs and vaccines into cells has remained out of reach. We find that liposomes studded with 0.8-nm-wide carbon nanotube porins (CNTPs) function as efficient vehicles for direct cytoplasmic drug delivery by facilitating fusion of lipid membranes and complete mixing of the membrane material and vesicle interior content. Fusion kinetics data and coarse-grained molecular dynamics simulations reveal an unusual mechanism where CNTP dimers tether the vesicles, pull the membranes into proximity, and then fuse their outer and inner leaflets. Liposomes containing CNTPs in their membranes and loaded with an anticancer drug, doxorubicin, were effective in delivering the drug to cancer cells, killing up to 90% of them. Our results open an avenue for designing efficient drug delivery carriers compatible with a wide range of therapeutics.

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“…0) and second order kinetics (n = 1). [38] The Weibull's model provides another globally valid expression for modeling release rates:…”

Section: Modeling Repellent Releasementioning

confidence: 99%

“…This model represents the solution to a rate expression in which the exponent n affords a parametric interpolation between the predictions of the logistic equation ( n → 0) and second order kinetics ( n = 1). [ 38 ]…”

Section: Modeling Repellent Releasementioning

confidence: 99%

Development, characterization and modeling of mosquito repellent release from microporous devices

et al. 2020

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Nanocomposite strands with mosquito repellent DEET or Icaridin incorporated in a poly(ethylene-co-vinyl acetate) (EVA) matrix, with either pyrogenic silica or an organoclay as a nanofiller, were prepared by a twin-screw extrusion compounding technique. The nature and levels of the repellent and nanofiller that was used affected the material phase morphology. The repellent release was followed as a function of aging time in convection ovens set at 30 and 50 C. The experimental release data of the mosquito repellent from the microporous polymer swellable matrix strands was mathematically modeled and fitted using a range of semi-empirical models. In the majority of case, the Korsmeyer-Peppas power law model provided the best data fit. As expected, the wide range of internal morphologies also resulted in quite different release profiles. These models were found to be valuable as they provided insights into the mechanism of repellent release from EVA swellable matrices. It was possible to differentiate between diffusion and relaxation mechanisms. Surprisingly, strands containing nominally more than 30 wt% Icaridin showed accelerating mass loss during the initial phase, consistent with Super Case II transport. Diffusional exponents as high as 1.81 were found. Furthermore, the internal microporous region of the extruded EVA strands was covered by a surface membrane that acted a diffusion barrier that, in effect, controlled the release rate of the mosquito repellents. Some of the investigated samples exhibited release profiles that suggest that longer lasting effective release of repellents is possible than currently achieved by available commercially products. K E Y W O R D S controlled release, microporous system, modeling, repellent 1 | INTRODUCTION Collectively, the mosquito-borne diseases of malaria, Dengue, Yellow fever, O'nyong-nyong fever, Zika and lymphatic filariasis (elephantiasis) are the single biggest cause of morbidity and mortality in humans. These mosquito-transmitted infections occur at the global scale and involve a wide range of viral and other pathogenic

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Kinetic interpretation of log-logistic dose-time response curves

Cited by 29 publications

References 48 publications

Evolution of the COVID Pandemic: A Technique for Mathematical Analysis of Data

Evolution of the COVID Pandemic: A Technique for Mathematical Analysis of Data

Membrane fusion and drug delivery with carbon nanotube porins

Development, characterization and modeling of mosquito repellent release from microporous devices

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