Additional metabolic abnormalities documented pre-seizure, including low free T4 (9.5 pmol/L) and dyslipidaemia (low HDL 0.7 mmol/L, elevated triglycerides 4.83 mmol/L), suggest multi-hormonal resistance characteristic of pseudohypoparathyroidism type 1a, where GNAS mutations cause resistance to multiple G protein-coupled hormones, including PTH and thyroid-stimulating hormone (TSH). The gene discussed is PTH; the disease is pseudohypoparathyroidism type 1A.