In this paper we have explored a model for self-induced aggregation of Brownian particles incorporating non-Markovian and non-Gaussian character of the associated random noise processes. The time evolution of each individual is guided by an overdamped Langevin equation of motion with a nonlocal drift arising out of the imbalance in the local distribution of the other individuals. Our simulation results show that colored noise enhances the tendency of cluster formation. Another observation is that the critical noise variance decreases at first with increase in noise correlation time followed by an increase after exhibiting a minimum. Furthermore, in the long time limit the cluster number in the aggregation process exhibits depletion with time following a power law with an exponent which increases remarkably with non-Markovian character of the noise processes.
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http://dx.doi.org/10.1103/PhysRevE.78.051103 | DOI Listing |
Curr Med Chem
January 2025
School of Pharmacy, North Sichuan Medical College, Nanchong, 637000, China.
Objectives: Alzheimer's disease (AD) is the most prevalent neurodegenerative disorder, but no drugs can cure this disease. Chalcones possess good antioxidant activity, anti-neuroinflammatory activity, neuroprotective effects, inhibitory effects on Aβ aggregation, and Aβ disaggregation ability. Therefore, chalcones are ideal lead compounds, and the discovery of novel anti-AD agent-based chalcones is necessary.
View Article and Find Full Text PDFEur J Med Chem
December 2024
Department of Pharmaceutical Engineering & Technology, Indian Institute of Technology (BHU) Varanasi, U.P., 221005, India. Electronic address:
Diseases
August 2024
Centre of Experimental Medicine and Surgery, Institute of Medical Sciences, Banaras Hindu University, Varanasi 221005, Uttar Pradesh, India.
Alzheimer's disease (AD) is a neurodegenerative disease characterized by beta-amyloid (Aβ) deposition and increased acetylcholinesterase (AchE) enzyme activities. Indole 3 carbinol (I3C) and diindolylmethane (DIM) are reported to have neuroprotective activities against various neurological diseases, including ischemic stroke, Parkinson's disease, neonatal asphyxia, depression, stress, neuroinflammation, and excitotoxicity, except for AD. In the present study, we have investigated the anti-AD effects of I3C and DIM.
View Article and Find Full Text PDFACS Chem Neurosci
July 2024
Laboratory of Organic and Medicinal Chemistry, Department of Chemistry, Central University of Punjab, Bathinda, Punjab 151401, India.
Alzheimer's disease is a complex neurological disorder linked with multiple pathological hallmarks. The interrelation of therapeutic targets assists in the enhancement of cognitive decline through interference with overall neuronal transmission. We have synthesized and screened various chromone derivatives as potential multitarget-directed ligands for the effective treatment of Alzheimer's disease.
View Article and Find Full Text PDFChemistry
July 2024
ICMol, Departament de Química Inorgànica, Universitat de València, C/Catedrático José Beltrán 2, Paterna, 46980, Spain.
Despite decades of research, Parkinson's disease is still an idiopathic pathology for which no cure has yet been found. This is partly explained by the multifactorial character of most neurodegenerative syndromes, whose generation involves multiple pathogenic factors. In Parkinson's disease, two of the most important ones are the aggregation of α-synuclein and oxidative stress.
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