The integration of biological principles into artificial olfactory systems has led to significant advancements in odor detection and classification. Inspired by the intricate mechanisms of natural olfaction, researchers are developing sophisticated systems that mimic the functionality of biological olfactory pathways. These systems utilize high-density chemoresistive sensor arrays (HCSA) combined with advanced computational techniques, such as FPGA-accelerated glomerular convergence circuits (FGCC) and hierarchical graph neural networks (HGNN). This bioinspired approach enables real-time adaptive responses to volatile organic compounds (VOCs), enhancing the accuracy and efficiency of odor identification.At the core of these innovations is the multiparametric sigmoidal sensor activation (MPSA), which quantifies VOCs by leveraging the diverse responses of sensor arrays. The implementation of lateral inhibition via programmable synaptic crossbars (LIPSC) further refines odor processing by mimicking neural interactions found in biological systems. Additionally, temporal self-organizing maps (TSOM) facilitate dynamic clustering of odor patterns, allowing for a nuanced understanding of complex odor environments.A novel aspect of this research lies in the Grassmannian manifold embedding (GME) of odor profiles, which provides a mathematical framework for representing and analyzing the multidimensional nature of odors. Coupled with Hamiltonian Monte Carlo-optimized feedback (HMC-FB), this system effectively compensates for drift in sensor readings, ensuring consistent performance over time. By bridging the gap between biological inspiration and technological innovation, these artificial olfactory systems are poised to revolutionize applications ranging from environmental monitoring to food safety and healthcare diagnostics.