A method for the treatment of osteoporosis, rheumatoid arthritis, cancer associated bone disease, Paget's disease, or aseptic loosening of prosthetic implants, comprising administering to a subject in need of treatment a therapeutically-effective amount of a compound selected from compounds of the following formulae and pharmaceutically acceptable salts, amides, esters, and ethers thereof:
- wherein:
- Ar1 is independently a group of the following formula:
- wherein:
- q is independently an integer from 0 to 4;
- r is independently an integer from 0 to 5;
- and
- each RP is independently selected from:
- (1) carboxylic acid;
- (2) ester;
- (3) amido;
- (4) acyl;
- (5) halo;
- (6) cyano;
- (7) nitro;
- (8) hydroxy;
- (9) ether;
- (10) thiol;
- (11) thioether;
- (12) acyloxy;
- (13) amino;
- (14) acylamino;
- (15) aminoacylamino;
- (16) sulfonamino;
- (17) sulfonyl;
- (18) sulfonate;
- (19) sulfonamido;
- (22) C3-20heterocyclyl;
- (23) C1-7alkyl;
- (24) oxo;
- (25) imino;
- (26) hydroxyimino;
- and (27) phosphate;
- Ralk is independently a C4-8alkylene group, and is unsubstituted, or substituted with one or more substituents selected from:
- halogen, hydroxy, C1-7alkoxy, amino, and amido;
- —ORO, if present, is independently —OH or —ORK;
- —ORK, if present, is independently selected from:
- —O—RK1;
- —O—C(═O)RK2;
- —O—C(═O)ORK3;
- —O—S(═O)2ORK4;
- wherein:
- each of RK1, RK2, RK3, and RK4 is independently C5-20aryl-C1-7alkyl, C5-20aryl, C3-20heterocyclyl, or C1-7alkyl, and is optionally substituted;
- and
- each of RK3 and RK4 may additionally be —H;
- Q is independently —OH or —OROT;
- wherein:
- —OROT, if present, is independently:
- —O—RE1;
- wherein:
- RE1 is independently:
- C5-20aryl-C1-7alkyl, unsubstituted or substituted with one or more groups selected from (1) carboxylic acid;
- (2) ester;
- (3) amido;
- (4) acyl;
- (5) halo;
- (6) cyano;
- (7) nitro;
- (8) hydroxy;
- (9) ether;
- (10) thiol;
- (11) thioether;
- (12) acyloxy;
- (13) amino;
- (14) acylamino;
- (15) aminoacylamino;
- (16) sulfonamino;
- (17) sulfonyl;
- (18) sulfonate;
- (19) sulfonamido;
- (20) C5-20aryl-C1-7alkyl;
- (21) C5-20aryl;
- (22) C3-20heterocyclyl;
- (23) C1-7alkyl;
- (24) oxo;
- (25) imino;
- (26) hydroxyimino;
- and (27) phosphate;
- C5-20aryl, unsubstituted or substituted with one or more groups selected from (1) carboxylic acid;
- (2) ester;
- (3) amido;
- (4) acyl;
- (5) halo;
- (6) cyano;
- (7) nitro;
- (8) hydroxy;
- (9) ether;
- (10) thiol;
- (11) thioether;
- (12) acyloxy;
- (13) amino;
- (14) acylamino;
- (15) aminoacylamino;
- (16) sulfonamino;
- (17) sulfonyl;
- (18) sulfonate;
- (19) sulfonamido;
- (20) C5-20aryl-C1-7alkyl;
- (21) C5-20aryl;
- (22) C3-20heterocyclyl;
- (23) C1-7alkyl;
- (24) oxo;
- (25) imino;
- (26) hydroxyimino;
- and (27) phosphate;
- C3-20heterocyclyl, unsubstituted or substituted with one or more groups selected from (1) carboxylic acid;
- (2) ester;
- (3) amido;
- (4) acyl;
- (5) halo;
- (6) cyano;
- (7) nitro;
- (8) hydroxy;
- (9) ether;
- (10) thiol;
- (11) thioether;
- (12) acyloxy;
- (13) amino;
- (14) acylamino;
- (15) aminoacylamino;
- (16) sulfonamino;
- (17) sulfonyl;
- (18) sulfonate;
- (19) sulfonamido;
- (20) C5-20aryl-C1-7alkyl;
- (21) C5-20aryl;
- (22) C3-20heterocyclyl;
- (23) C1-7alkyl;
- (24) oxo;
- (25) imino;
- (26) hydroxyimino;
- and (27) phosphate;
- or
- C1-7alkyl, unsubstituted or substituted with one or more groups selected from (1) carboxylic acid;
- (2) ester;
- (3) amido;
- (4) acyl;
- (5) halo;
- (6) cyano;
- (7) nitro;
- (8) hydroxy;
- (9) ether;
- (10) thiol;
- (11) thioether;
- (12) acyloxy;
- (13) amino;
- (14) acylamino;
- (15) aminoacylamino;
- (16) sulfonamino;
- (17) sulfonyl;
- (18) sulfonate;
- (19) sulfonamido;
- (20) C5-20aryl-C1-7alkyl;
- (21) C5-20aryl;
- (22) C3-20heterocyclyl;
- (24) oxo;
- (25) imino;
- (26) hydroxyimino;
- and (27) phosphate;
- wherein the group —C(═O)— in formula (1) is optionally replaced with a group selected from the following groups, wherein each R is independently C5-20aryl-C1-7alkyl, C5-20aryl, C3-20heterocyclyl, or C1-7alkyl, and is optionally substituted:
- with the proviso that if —OROT is —O—RE1, then RE1 is not a phenyl group substituted with a sulfonyl group;
- and
- with the proviso that —ORO, if present, is other than siloxy.