Utility of green chemistry for sustainable fluorescence derivatization approach for spectrofluorimetric quantification of Darolutamide as antineoplastic drug in pharmaceutical formulation and spiked human plasma.

Darolutamide is an oral nonsteroidal androgen receptor antagonist used to delay the process of prostate cancer to metastatic disease and to increase the quality of life for people with advanced prostate cancer. Here, a second spectrofluorimetric method was advanced for quantifying Darolutamide in pharmaceutical formulation and spiked human plasma. This method depends on the fluorescence derivatization of Darolutamide with 4-chloro-7-nitrobenzo-2-oxa-1,3-diazole (NBD-Cl) at 75°C in a (pH 9) of borate buffer to produce a fluorescent derivative that can be detected at 520 nm after excitation at 460 nm. The method has been validated using ICH criteria, and it demonstrated linearity in the range 5-200 ng ml-1 . The limit of detection (LOD) and limit of quantitation (LOQ) were 1.15 and 3.84 nm, respectively. The proposed method was applied precisely and accurately for quantifying Darolutamide within the pharmaceutical formulation and spiking human plasma without any interferences. Moreover, the method's sustainability was evaluated and compared with the published method using two greenness assessment tools termed analytical eco-scale and Analytical GREEnness (AGREE). These findings suggest that the method is more sustainable than the published method.

A Locust-Inspired Model of Collective Marching on Rings.

We study the collective motion of autonomous mobile agents in a ringlike environment. The agents' dynamics are inspired by known laboratory experiments on the dynamics of locust swarms. In these experiments, locusts placed at arbitrary locations and initial orientations on a ring-shaped arena are observed to eventually all march in the same direction. In this work we ask whether, and how fast, a similar phenomenon occurs in a stochastic swarm of simple locust-inspired agents. The agents are randomly initiated as marching either clockwise or counterclockwise on a discretized, wide ring-shaped region, which we subdivide into k concentric tracks of length n. Collisions cause agents to change their direction of motion. To avoid this, agents may decide to switch tracks to merge with platoons of agents marching in their direction. We prove that such agents must eventually converge to a local consensus about their direction of motion, meaning that all agents on each narrow track must eventually march in the same direction. We give asymptotic bounds for the expected time it takes for such convergence or "stabilization" to occur, which depends on the number of agents, the length of the tracks, and the number of tracks. We show that when agents also have a small probability of "erratic", random track-jumping behavior, a global consensus on the direction of motion across all tracks will eventually be reached. Finally, we verify our theoretical findings in numerical simulations.

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