Compounds of Formula (I): ##STR00001## wherein: A represents bond, C.sub.1-6alkyl or CH.dbd.CH--C.sub.1-4alkyl; B represents bond, O, S, SO, SO.sub.2, CO, CR.sup.7R.sup.8, CO.sub.2R.sup.14, CONR.sup.14R.sup.15, N(COR.sup.14)(COR.sup.15), N(SO.sub.2R.sup.14)(COR.sup.15) or NR.sup.14R.sup.15; D represents bond, or C.sub.1-6alkyl; E represents substituted aryl or substituted or unsubstituted heteroaryl; Q represents an optionally substituted 5- or 6-membered aryl or heteroaryl ring; X represents O, S, SO, SO.sub.2, CO, CNR.sup.5, CNOR.sup.5, CNNR.sup.5R.sup.6, NR.sup.11 or CR.sup.7R.sup.8; Y represents CR.sup.5OR.sup.11, CR.sup.5SR.sup.11, NOR.sup.5, CR.sup.5NR.sup.6R.sup.11, SO, SO.sub.2, CO, CNR.sup.5, CNOR.sup.5 or CS; R.sup.1 and R.sup.1' each independently represents H, C.sub.1-6alkyl or C.sub.1-4alkylaryl; R.sup.2 represents CO.sub.2R.sup.12, CH.sub.2OR.sup.12 or CONR.sup.12R.sup.13, CONR.sup.12OR.sup.13, NR.sup.12COR.sup.13, SR.sup.12, PO(OH).sub.2, PONHR.sup.12 or SONHR.sup.12; R.sup.3 represents H, C.sub.1-6alkyl or C.sub.1-4alkylaryl; R.sup.4 represents optionally substituted aryl or heteroaryl; Z represents a bond, CH.sub.2, O, S, SO, SO.sub.2, NR.sup.5, OCR.sup.5R.sup.6, CR.sup.9R.sup.10O or Z, R.sup.4 and Q together form an optionally substituted fused tricyclic group; R.sup.5 and R.sup.6 each independently represent H, C.sub.1-6 alkyl or C.sub.1-4 alkylaryl; R.sup.7 and R.sup.8 each independently represent H, halo, C.sub.1-6 alkyl or C.sub.1-4 alkylaryl; R.sup.9 and R.sup.10 each independently represents H, C.sub.1-6 alkyl optionally substituted by halo, cyano, OR.sup.11 or NR.sup.6R.sup.11, C.sub.1-4 alkylaryl optionally substituted by halo, cyano, OR11 or NR.sup.6R.sup.11, OR.sup.11 or, together with the N to which they are attached, R.sup.9 and R.sup.10 form a heterocyclic group: R.sup.11 represents H, C.sub.1-6 alkyl, C.sub.1-4 alkylaryl or COR.sup.5; R.sup.12 and R.sup.13 each independently represent H, C.sub.1-3 alkyl, C.sub.1-3 alkylaryl or C.sub.1-3 alkylheteroaryl or, together with the functionality to which they are attached, R.sup.12 and R.sup.13 form a heterocyclic group: R.sup.14 and R.sup.15 each independently represent H, C.sub.1-6 alkyl, C.sub.1-4 alkylaryl or C.sub.1-4 alkylheteroaryl or together with the functionality to which they are attached R.sup.14 and R.sup.15 form a heterocyclic or fused heterocyclic group; and physiologically functional derivatives thereof, corresponding processes for preparation, pharmaceutical formulations containing them and their use as inhibitors of matrix metallproteinase enzymes (MMPs).