Impulsive differential equation model in methanol poisoning detoxification

Ghosh, Priyanka; Peters, James F.

doi:10.1007/s10910-019-01076-3

Cited by 13 publications

(7 citation statements)

References 28 publications

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“…Alongside the theory of chaos, impulsive differential equations have also played an essential role from both theoretical and practical points of view over the past few decades [13,[21][22][23][24][25][26][27][28][29][30]. Such differential equations describe dynamics of real world phenomena in which abrupt interruptions of continuous processes are present, and they play a crucial role in various fields such as mechanics, electronics, medicine, neural networks, communication systems, and population dynamics [31][32][33][34][35][36][37][38]. Chaos in the sense of Li-Yorke and the presence of period-doubling route to chaos in impulsive systems were investigated in the studies [39,40] by means of the replication of chaos technique.…”

Section: Introductionmentioning

confidence: 99%

Unpredictable Solutions of Linear Impulsive Systems

et al. 2020

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We consider a new type of oscillations of discontinuous unpredictable solutions for linear impulsive nonhomogeneous systems. The models under investigation are with unpredictable perturbations. The definition of a piecewise continuous unpredictable function is provided. The moments of impulses constitute a newly determined unpredictable discrete set. Theoretical results on the existence, uniqueness, and stability of discontinuous unpredictable solutions for linear impulsive differential equations are provided. We benefit from the B-topology in the space of discontinuous functions on the purpose of proving the presence of unpredictable solutions. For constructive definitions of unpredictable components in examples, randomly determined unpredictable sequences are newly utilized. Namely, the construction of a discontinuous unpredictable function is based on an unpredictable sequence determined by a discrete random process, and the set of discontinuity moments is realized by the logistic map. Examples with numerical simulations are presented to illustrate the theoretical results.

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Section: Introductionmentioning

confidence: 99%

Unpredictable Solutions of Linear Impulsive Systems

et al. 2020

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“…5.4% of participants have used methanol (red or industrial alcohol) instead of ethanol (white or medical alcohol) for disinfection. Due to the proven adverse effects of methanol such as blindness, skin damage and even death [ 46 – 48 ], its use for disinfecting body organs and surfaces is strictly prohibited.…”

Section: Resultsmentioning

confidence: 99%

Pattern of disinfectants use and their adverse effects on the consumers after COVID-19 outbreak

Dindarloo

Aghamolaei

Ghanbarnejad

et al. 2020

J Environ Health Sci Engineer

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Background and objective The aim of this study was to investigate the pattern of disinfectants use within outbreak of COVID-19 and estimate their adverse effects on the consumer's health. Methods In this descriptive-analytical study, 1090 participants were entered into the study without age and gender limitations. A researcher-made electronic checklist containing 43 questions was applied to collect data. The checklist included three sections: demographic characteristics (8 questions), disinfection of body and non-living surfaces (21 questions), and adverse effects of disinfectants on health (15 questions). Results 87% of participants used the incorrect proportions of water and alcohol to make this disinfectant available at home. The percentage of people with wrong proportion of sodium hypochlorite was 74.2%. Approximately 42% of participants experienced at least one disorder on their hands, feet, eyes, respiratory or gastrointestinal systems after sequential uses of disinfectants. The most common disorders among the participants were found to be skin dryness (76.3%), obsession (42.2%), skin itching (41.2%), coughing (41.1%), and eyes irritation (39.5%). The mean frequency of hand washing and hand disinfecting were 15.28 and 10.74 times per a day, respectively, and the clean-up in case of surfaces was 2.99 times a day. The frequency of hand washing and disinfecting in women group (16.4 and 11.2 times a day) were higher than in men (14.0 and 10.3 times a day) group. In addition, these self-care actions in married people (15.6 and 11.0 times a day) were higher compared to those in single people (14.0 and 10.6 times a day). Conclusion Being unaware of participants with instruction for preparation and use disinfectants may harm their health. Therefore, it is suggested that the authorities provide the necessary training program for public through official media.

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“…Impulsive systems are models for processes in which sharp interruptions of continuous processes are observed, and they are important in various fields such as medicine, mechanics, electronics, communication systems and neural networks [40][41][42]. Currently, significant results of neural networks with impulses have been obtained.…”

Section: Methodsmentioning

confidence: 99%

Poisson Stability in Symmetrical Impulsive Shunting Inhibitory Cellular Neural Networks with Generalized Piecewise Constant Argument

et al. 2022

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In the paper, shunting inhibitory cellular neural networks with impulses and the generalized piecewise constant argument are under discussion. The main modeling novelty is that the impulsive part of the systems is symmetrical to the differential part. Moreover, the model depends not only on the continuous time, but also the generalized piecewise constant argument. The process is subdued to Poisson stable inputs, which cause the new type of recurrent signals. The method of included intervals, recently introduced approach of recurrent motions checking, is effectively utilized. The existence and asymptotic properties of the unique Poisson stable motion are investigated. Simulation examples for results are provided. Finally, comparing impulsive shunting inhibitory cellular neural networks with former neural network models, we discuss the significance of the components of our model.

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Impulsive differential equation model in methanol poisoning detoxification

Cited by 13 publications

References 28 publications

Unpredictable Solutions of Linear Impulsive Systems

Unpredictable Solutions of Linear Impulsive Systems

Pattern of disinfectants use and their adverse effects on the consumers after COVID-19 outbreak

Poisson Stability in Symmetrical Impulsive Shunting Inhibitory Cellular Neural Networks with Generalized Piecewise Constant Argument

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