MyceSoil: Multi-Parameter Environmental Monitoring via Fisher Information Inversion of Pleiotropic Biohybrid Impedance

This paper introduces the inversion principle for pleiotropic biohybrid sensing: living biological tissue whose electrogenic activity encodes multiple environmental variables simultaneously can serve as a multi-parameter sensor if the measurement is broadband and the inversion is principled — without co-deployed analyte-specific sensors and without modification to the organism. The framework composes four classical tools — Fisher Information Matrix analysis, the Cramér-Rao lower bound, a Kalman filter, and TSK zero-order fuzzy inference — around the specific problem of biological pleiotropy. A key derived result is that a co-located reference electrode is architecturally required for identifiability, not merely useful: composite FIM analysis of the soil-tissue forward model produces condition numbers of 10²⁰–10²² without it, proving that target analytes are not recoverable from a single unsupported measurement. Two case studies demonstrate the principle. In the first, Trichoderma harzianum colonising a biodegradable polyhydroxyalkanoate scaffold serves as the integrating tissue for agricultural soil sensing, projecting nitrate, pH, and moisture precision within agronomic targets at a minimum tissue fraction of f_tiss ≥ 0.15 under Kalman filtering. In the second, xylem parenchyma in living marula (Sclerocarya birrea) and baobab (Adansonia digitata) serves as the integrating tissue for embedded African tree health monitoring. A five-experiment validation roadmap specifies the programme required to convert computational projections into empirically verified results. All precision figures are projections under assumed sensitivity matrices. Supplementary Python scripts reproducing all computational results are provided