Claims for Patent: 8,835,443

Summary for Patent: 8,835,443

Title:	Pyrimidine compound and medical use thereof
Abstract:	The present invention relates to a pyrimidine compound or a pharmaceutically acceptable salt thereof represented by the following formula [I] ##STR00001## wherein each symbol is as defined in the specification and a method of therapeutically or prophylactically treating an undesirable cell proliferation, comprising administering such a compound. The compound of the present invention has superior activity in suppressing undesirable cell proliferation, particularly, an antitumor activity, and is useful as an antitumor agent for the prophylaxis or treatment of cancer, rheumatism, and the like. In addition, the compound of the present invention can be a more effective antitumor agent when used in combination with other antitumor agents such as an alkylating agent or metabolism antagonist.
Inventor(s):	Kawasaki; Hisashi (Takatsuki, JP), Abe; Hiroyuki (Takatsuki, JP), Hayakawa; Kazuhide (Takatsuki, JP), Iida; Tetsuya (Takatsuki, JP), Kikuchi; Shinichi (Takatsuki, JP), Yamaguchi; Takayuki (Takatsuki, JP), Nanayama; Toyomichi (Takatsuki, JP), Kurachi; Hironori (Takatsuki, JP), Tamaru; Masahiro (Takatsuki, JP), Hori; Yoshikazu (Takatsuki, JP), Takahashi; Mitsuru (Takatsuki, JP), Yoshida; Takayuki (Yokohama, JP), Sakai; Toshiyuki (Kyoto, JP)
Assignee:	Japan Tobacco Inc. (Tokyo, JP)
Application Number:	12/626,443
Patent Claims:	1. A method of therapeutically treating an undesirable cell proliferation in a mammal in need thereof comprising administering to the mammal a therapeutic amount of a compound represented by the following formula [I] or a pharmaceutically acceptable salt, hydrate, or solvate thereof: ##STR00677## wherein X.sup.1 and X.sup.2 are the same or different and each is a carbon atom or a nitrogen atom, a ##STR00678## moiety is ##STR00679## R.sup.1 and R.sup.2 are the same or different and each is a C.sub.1-6 alkyl group, a C.sub.2-6 alkenyl group, wherein the C.sub.1-6 alkyl group and the C.sub.2-6 alkenyl group are optionally substituted by 1 to 3 substituents selected from the following group A, or ##STR00680## wherein m is 0 or an integer of 1 to 4, ring Cy is a C.sub.3-12 carbon ring group or a heterocyclic group, wherein the heterocyclic group is a saturated or unsaturated ring group having, besides carbon atom, 1 to 4 hetero atoms selected from an oxygen atom, a nitrogen atom and a sulfur atom, the C.sub.3-12 carbon ring group and the heterocyclic group are optionally substituted by 1 to 5 substituents selected from the following group B, R.sup.6 is ##STR00681## wherein m is 0, and ring Cy is a C.sub.3-12 carbon ring group ora heterocyclic group, wherein the C.sub.3-12 carbon ring group and the heterocyclic group are optionally substituted by 1 to 5 substituents selected from the following group B, R.sup.3, R.sup.4, and R.sup.5 are the same or different and each is a hydrogen atom, a hydroxyl group, a C.sub.1-6 alkyl group, a C.sub.2-6 alkenyl group, wherein the C.sub.1-6 alkyl group and the C.sub.2-6 alkenyl group are optionally substituted by 1 to 3 substituents selected from the following group A, a C.sub.3-12 carbon ring group or a heterocyclic group, wherein the heterocyclic group is a saturated or unsaturated ring group having, besides carbon atom, 1 to 4 hetero atoms selected from an oxygen atom, a nitrogen atom and a sulfur atom, and the C.sub.3-12 carbon ring group and the heterocyclic group are optionally substituted by 1 to 5 substituents selected from the following group B, or R.sup.2 and R.sup.3 are optionally linked to form a C.sub.1-4 alkylene group, or R.sup.4 and R.sup.5 are optionally linked to form a C.sub.1-4 alkylene group, wherein group A is a group consisting of 1) a halogen atom, 2) a nitro group, 3) a cyano group, 4) a C.sub.1-4 alkyl group, 5) --OR.sup.A1 wherein R.sup.A1 is a hydrogen atom or a C.sub.1-4 alkyl group, 6) --SR.sup.A2 wherein R.sup.A2 is a hydrogen atom or a C.sub.1-4 alkyl group, 7) --NR.sup.A3R.sup.A4 wherein R.sup.A3 and R.sup.A4 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 8) --COOR.sup.A5 wherein R.sup.A5 is a hydrogen atom or a C.sub.1-4 alkyl group, 9) --NR.sup.A6 COR.sup.A7 wherein R.sup.A6 is a hydrogen atom or a C.sub.1-4 alkyl group, R.sup.A7 is a C.sub.1-4 alkyl group, a C.sub.3-12 carbon ring group or a heterocyclic group, 10) --NR.sup.A8COOR.sup.A9 wherein R.sup.A8 and R.sup.A9 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 11) a C.sub.3-12 carbon ring group and 12) a heterocyclic group, wherein the heterocyclic group is a saturated or unsaturated ring group having, besides carbon atom, 1 to 4 hetero atoms selected from an oxygen atom, a nitrogen atom and a sulfur atom, each of the C.sub.1-4 alkyl groups of the above-mentioned 4), R.sup.A1, R.sup.A2, R.sup.A3, R.sup.A4, R.sup.A5, R.sup.A6, R.sup.A7, R.sup.A8 and R.sup.A9 is optionally substituted by the same or different 1 to 3 substituents selected from the following group C, and each of the C.sub.3-12 carbon ring groups of the above-mentioned 11) and R.sup.A7, and the heterocyclic groups of 12) and R.sup.A7 is optionally substituted by the same or different 1 to 5 substituents selected from the following group C group B is a group consisting of 1) a halogen atom, 2) a nitro group, 3) a cyano group, 4) a C.sub.1-8 alkyl group, 5) a C.sub.2-4 alkenyl group, 6) a C.sub.2-4 alkynyl group, 7) --OR.sup.B1 wherein R.sup.B1 is a hydrogen atom or a C.sub.1-4 alkyl group, 8) --SR.sup.B2 wherein R.sup.B2 is a hydrogen atom or a C.sub.1-4 alkyl group, 9) --NR.sup.B3R.sup.B4 wherein R.sup.B3 is a hydrogen atom, a C.sub.1-4 alkyl group, a C.sub.3-12 carbon ring group or a heterocyclic group, and R.sup.B4 is a hydrogen atom or a C.sub.1-4 alkyl group, 10) --NR.sup.B5COR.sup.B6 wherein R.sup.B5 is a hydrogen atom or a C.sub.1-4 alkyl group, and R.sup.B6 is a hydrogen atom, a C.sub.1-4 alkyl group, a C.sub.3-12 carbon ring group or a heterocyclic group, 11) --NR.sup.B7COOR.sup.B8 wherein R.sup.B7 and R.sup.B8 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 12) --NR.sup.B9CONR.sup.B10R.sup.B11 wherein R.sup.B9, R.sup.B10 and R.sup.B11 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 13) --NR.sup.B12CONR.sup.B13OR.sup.B14 wherein R.sup.B12, R.sup.B13 and R.sup.B14 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 14) --NR.sup.B15SO.sub.2R.sup.B16 wherein R.sup.B15 is a hydrogen atom or a C.sub.1-4 alkyl group, and R.sup.B16 is a C.sub.1-4 alkyl group, a C.sub.3-12 carbon ring group or a heterocyclic group, 15) --SO.sub.2--R.sup.B17 wherein R.sup.B17 is a C.sub.1-4 alkyl group or a heterocyclic group, 16) --SO.sub.2NR.sup.B18R.sup.B19 wherein R.sup.B18 and R.sup.B19 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 17) --P(.dbd.O)(R.sup.B20)(R.sup.B21) wherein R.sup.B20 and R.sup.B21 are the same or different and each is a C.sub.1-4 alkyl group, 18) --COOR.sup.B22 wherein R.sup.B22 is a hydrogen atom or a C.sub.1-4 alkyl group, 19) --CONR.sup.B23R.sup.B24 wherein R.sup.B23 and R.sup.B24 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 20) --NR.sup.B25SO.sub.2NR.sup.B26R.sup.B27 wherein R.sup.B25, R.sup.B26 and R.sup.B27 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 21) --NR.sup.B28SO.sub.2NR.sup.B29CONR.sup.B30R.sup.B31 wherein R.sup.B28, R.sup.B29, R.sup.B30 and R.sup.B31 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 22) a C.sub.3-12 carbon ring group and 23) a heterocyclic group wherein each of the "C.sub.1-8 alkyl group" of the above-mentioned 4), and the C.sub.1-4 alkyl groups for R.sup.b1 to R.sup.B31 is optionally substituted by the same or different 1 to 3 substituents selected from the above-mentioned group A, each of the C.sub.2-4 alkenyl group of 5) and the C.sub.2-4 alkynyl group of 6) is optionally substituted by the same or different 1 to 3 substituents selected from the above-mentioned group A, the heterocyclic group is a saturated or unsaturated ring group having, besides carbon atom, 1 to 4 hetero atoms selected from an oxygen atom, a nitrogen atom and a sulfur atom, and each of the C.sub.3-12 carbon ring group of the above-mentioned 22), R.sup.B3, R.sup.B6 and R.sup.B16, and the heterocyclic group of the above-mentioned 23), R.sup.B3, R.sup.B6, R.sup.B16 and R.sup.B17 optionally substituted by the same or different 1 to 5 substituents selected from the following group C, and group C is a group consisting of 1) a halogen atom, 2) a cyano group, 3) a C.sub.1-4 alkyl group, 4) --OR.sup.C1 wherein R.sup.C1 is a hydrogen atom or a C.sub.1-4 alkyl group, 5) --NR.sup.C2R.sup.C3 wherein R.sup.C2 and R.sup.C3 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 6) --COOR.sup.C4 wherein R.sup.C4 is a hydrogen atom or a C.sub.1-4 alkyl group and 7) an oxo group, whereupon the undesirable cell proliferation is treated. 2. The method of claim 1, wherein the compound is represented by the following formula [I-1]: ##STR00682## wherein each symbol in the formula is as defined in claim 1. 3. The method of claim 1, wherein the compound is represented by the following formula [I-2]: ##STR00683## wherein each symbol in the formula is as defined in claim 1. 4. The method of claim 1, wherein the compound is represented by the following formula [I-3]: ##STR00684## wherein each symbol in the formula is as defined in claim 1. 5. The method of claim 1, wherein R.sup.1 is a C.sub.1-6 alkyl group. 6. The method of claim 1, wherein R.sup.1 is ##STR00685## wherein m is 0, and ring Cy is a C.sub.3-12 carbon ring group, wherein the C.sub.3-12 carbon ring group is optionally substituted by 1 to 5 substituents selected from group B of claim 1. 7. The method of claim 1, wherein R.sup.1 is a C.sub.3-8 cycloalkyl group. 8. The method of claim 7, wherein R.sup.1 is a cyclopropyl group. 9. The method of claim 1, wherein R.sup.2 is ##STR00686## wherein m is 0, and ring Cy is a C.sub.3-12 carbon ring group or a heterocyclic group, wherein the C.sub.3-12 carbon ring group and the heterocyclic group are optionally substituted by 1 to 5 substituents selected from group B of claim 1. 10. The method of claim 1, wherein R.sup.3 is a C.sub.1-6 alkyl group. 11. The method of claim 1, wherein R.sup.4 is a hydrogen atom. 12. The method of claim 1, wherein R.sup.5 is a hydrogen atom. 13. The method of claim 1, wherein the undesirable cell proliferation causes rheumatism. 14. The method of claim 1, wherein the undesirable cell proliferation causes a tumor. 15. A method of inhibiting MEK in a mammal in need thereof comprising administering to the mammal an MEK inhibiting amount of a compound represented by the following formula [I] or a pharmaceutically acceptable salt, hydrate, or solvate thereof: ##STR00687## wherein X.sup.1 and X.sup.2 are the same or different and each is a carbon atom or a nitrogen atom, a ##STR00688## moiety is ##STR00689## R.sup.1 and R.sup.2 are the same or different and each is a C.sub.1-6 alkyl group, a C.sub.2-6 alkenyl group, wherein the C.sub.1-6 alkyl group and the C.sub.2-6 alkenyl group are optionally substituted by 1 to 3 substituents selected from the following group A, or ##STR00690## wherein m is 0 or an integer of 1 to 4, ring Cy is a C.sub.3-12 carbon ring group or a heterocyclic group, wherein the heterocyclic group is a saturated or unsaturated ring group having, besides carbon atom, 1 to 4 hetero atoms selected from an oxygen atom, a nitrogen atom and a sulfur atom, the C.sub.3-12 carbon ring group and the heterocyclic group are optionally substituted by 1 to 5 substituents selected from the following group B, R.sup.6 is ##STR00691## wherein m is 0, and ring Cy is a C.sub.3-12 carbon ring group or a heterocyclic group, wherein the C.sub.3-12 carbon ring group and the heterocyclic group are optionally substituted by 1 to 5 substituents selected from the following group B, R.sup.3, R.sup.4, and R.sup.5 are the same or different and each is a hydrogen atom, a hydroxyl group, a C.sub.1-6 alkyl group, a C.sub.2-6 alkenyl group, wherein the C.sub.1-6 alkyl group and the C.sub.2-6 alkenyl group are optionally substituted by 1 to 3 substituents selected from the following group A, a C.sub.3-12 carbon ring group or a heterocyclic group, wherein the heterocyclic group is a saturated or unsaturated ring group having, besides carbon atom, 1 to 4 hetero atoms selected from an oxygen atom, a nitrogen atom and a sulfur atom, and the C.sub.3-12 carbon ring group and the heterocyclic group are optionally substituted by 1 to 5 substituents selected from the following group B, or R.sup.2 and R.sup.3 are optionally linked to form a C.sub.1-4 alkylene group, or R.sup.4 and R.sup.5 are optionally linked to form a C.sub.1-4 alkylene group, wherein group A is a group consisting of 1) a halogen atom, 2) a nitro group, 3) a cyano group, 4) a C.sub.1-4 alkyl group, 5) --OR.sup.A1 wherein R.sup.A1 is a hydrogen atom or a C.sub.1-4 alkyl group, 6) --SR.sup.A2 wherein R.sup.A2 is a hydrogen atom or a C.sub.1-4 alkyl group, 7) --NR.sup.A3R.sup.A4 wherein R.sup.A3 and R.sup.A4 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 8) --COOR.sup.A5 wherein R.sup.A5 is a hydrogen atom or a C.sub.1-4 alkyl group, 9) --NR.sup.A6COR.sup.A7 wherein R.sup.A6 is a hydrogen atom or a C.sub.1-4 alkyl group, R.sup.A7 is a C.sub.1-4 alkyl group, a C.sub.3-12 carbon ring group or a heterocyclic group, 10) --NR.sup.A8COOR.sup.A9 wherein R.sup.A8 and R.sup.A9 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 11) a C.sub.3-12 carbon ring group and 12) a heterocyclic group, wherein the heterocyclic group is a saturated or unsaturated ring group having, besides carbon atom, 1 to 4 hetero atoms selected from an oxygen atom, a nitrogen atom and a sulfur atom, each of the C.sub.1-4 alkyl groups of the above-mentioned 4), R.sup.A1, R.sup.A2, R.sup.A3, R.sup.A4, R.sup.A5, R.sup.A6, R.sup.A7, R.sup.A8 and R.sup.A9 is optionally substituted by the same or different 1 to 3 substituents selected from the following group C, and each of the C.sub.3-12 carbon ring groups of the above-mentioned 11) and R.sup.A7, and the heterocyclic groups of 12) and R.sup.A7 is optionally substituted by the same or different 1 to 5 substituents selected from the following group C group B is a group consisting of 1) a halogen atom, 2) a nitro group, 3) a cyano group, 4) a C.sub.1-8 alkyl group, 5) a C.sub.2-4 alkenyl group, 6) a C.sub.2-4 alkynyl group, 7) --OR.sup.B1 wherein R.sup.B1 is a hydrogen atom or a C.sub.1-4 alkyl group, 8) --SR.sup.B2 wherein R.sup.B2 is a hydrogen atom or a C.sub.1-4 alkyl group, 9) --NR.sup.B3R.sup.B4 wherein R.sup.B3 is a hydrogen atom, a C.sub.1-4 alkyl group, a C.sub.3-12 carbon ring group or a heterocyclic group, and R.sup.B4 is a hydrogen atom or a C.sub.1-4 alkyl group, 10) --NR.sup.B5COR.sup.B6 wherein R.sup.B5 is a hydrogen atom or a C.sub.1-4 alkyl group, and R.sup.B6 is a hydrogen atom, a C.sub.1-4 alkyl group, a C.sub.3-12 carbon ring group or a heterocyclic group, 11) --NR.sup.B7COOR.sup.B8 wherein R.sup.B7 and R.sup.B8 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 12) --NR.sup.B9CONR.sup.B10R.sup.RB11 wherein R.sup.B9, R.sup.B10 and R.sup.B11 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 13) --NR.sup.B12CONR.sup.B13OR.sup.B14 wherein R.sup.B12, R.sup.B13 and R.sup.B14 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 14) --NR.sup.B15SO.sub.2R.sup.B16 wherein R.sup.B15 is a hydrogen atom or a C.sub.1-4 alkyl group, and R.sup.B16 is a C.sub.1-4 alkyl group, a C.sub.3-12 carbon ring group or a heterocyclic group, 15) --SO.sub.2--R.sup.B17 wherein R.sup.B17 is a C.sub.1-4 alkyl group or a heterocyclic group, 16) --SO.sub.2NR.sup.B18R.sup.B19 wherein R.sup.B18 and R.sup.B19 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 17) --P(.dbd.O)(R.sup.B20)(R.sup.B21) wherein R.sup.B20 and R.sup.B21 are the same or different and each is a C.sub.1-4 alkyl group, 18) --COOR.sup.B22 wherein R.sup.B22 is a hydrogen atom or a C.sub.1-4 alkyl group, 19) --CONR.sup.B23R.sup.B24 wherein R.sup.B23 and R.sup.B24 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 20) --NR.sup.B25SO.sub.2NR.sup.B26R.sup.B27 wherein R.sup.B25, R.sup.B26 and R.sup.B27 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 21) --NR.sup.B28SO.sub.2NR.sup.B29CONR.sup.B30R.sup.B31 wherein R.sup.B28, R.sup.B29, R.sup.B30 and R.sup.B31 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 22) a C.sub.3-12 carbon ring group and 23) a heterocyclic group wherein each of the "C.sub.1-8 alkyl group" of the above-mentioned 4), and the C.sub.1-4 alkyl groups for R.sup.B1 to R.sup.B31 is optionally substituted by the same or different 1 to 3 substituents selected from the above-mentioned group A, each of the C.sub.2-4 alkenyl group of 5) and the C.sub.2-4 alkynyl group of 6) is optionally substituted by the same or different 1 to 3 substituents selected from the above-mentioned group A, the heterocyclic group is a saturated or unsaturated ring group having, besides carbon atom, 1 to 4 hetero atoms selected from an oxygen atom, a nitrogen atom and a sulfur atom, and each of the C.sub.3-12 carbon ring group of the above-mentioned 22), R.sup.B3, R.sup.B6 and R.sup.B16, and the heterocyclic group of the above-mentioned 23), R.sup.B3, R.sup.B6, R.sup.B16 and R.sup.B17 is optionally substituted by the same or different 1 to 5 substituents selected from the following group C, and group C is a group consisting of 1) a halogen atom, 2) a cyano group, 3) a C.sub.1-4 alkyl group, 4) --OR.sup.C1 wherein R.sup.C1 is a hydrogen atom or a C.sub.1-4 alkyl group, 5) --NR.sup.C2R.sup.C3 wherein R.sup.C2 and R.sup.C3 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 6) --COOR.sup.C4 wherein R.sup.C4 is a hydrogen atom or a C.sub.1-4 alkyl group and 7) an oxo group, whereupon MEK is inhibited. 16. A method of inducing p15 protein in a mammal in need thereof comprising administering to the mammal a p15 protein inducing amount of a compound represented by the following formula [I] or a pharmaceutically acceptable salt, hydrate, or solvate thereof: ##STR00692## wherein X.sup.1 and X.sup.2 are the same or different and each is a carbon atom or a nitrogen atom, a ##STR00693## moiety is ##STR00694## R.sup.1 and R.sup.2 are the same or different and each is a C.sub.1-6 alkyl group, a C.sub.2-6 alkenyl group, wherein the C.sub.1-6 alkyl group and the C.sub.2-6 alkenyl group are optionally substituted by 1 to 3 substituents selected from the following group A, or ##STR00695## wherein m is 0 or an integer of 1 to 4, ring Cy is a C.sub.3-12 carbon ring group or a heterocyclic group, wherein the heterocyclic group is a saturated or unsaturated ring group having, besides carbon atom, 1 to 4 hetero atoms selected from an oxygen atom, a nitrogen atom and a sulfur atom, the C.sub.3-12 carbon ring group and the heterocyclic group are optionally substituted by 1 to 5 substituents selected from the following group B, R.sup.6 is ##STR00696## wherein m is 0, and ring Cy is a C.sub.3-12 carbon ring group or a heterocyclic group, wherein the C.sub.3-12 carbon ring group and the heterocyclic group are optionally substituted by 1 to 5 substituents selected from the following group B, R.sup.3, R.sup.4, and R.sup.5 are the same or different and each is a hydrogen atom, a hydroxyl group, a C.sub.1-6 alkyl group, a C.sub.2-6 alkenyl group, wherein the C.sub.1-6 alkyl group and the C.sub.2-6 alkenyl group are optionally substituted by 1 to 3 substituents selected from the following group A, a C.sub.3-12 carbon ring group or a heterocyclic group, wherein the heterocyclic group is a saturated or unsaturated ring group having, besides carbon atom, 1 to 4 hetero atoms selected from an oxygen atom, a nitrogen atom and a sulfur atom, and the C.sub.3-12 carbon ring group and the heterocyclic group are optionally substituted by 1 to 5 substituents selected from the following group B, or R.sup.2 and R.sup.3 are optionally linked to form a C.sub.1-4 alkylene group, or R.sup.4 and R.sup.5 are optionally linked to form a C.sub.1-4 alkylene group, wherein group A is a group consisting of 1) a halogen atom, 2) a nitro group, 3) a cyano group, 4) a C.sub.1-4 alkyl group, 5) --OR.sup.A1 wherein R.sup.A1 is a hydrogen atom or a C.sub.1-4 alkyl group, 6) --SR.sup.A2 wherein R.sup.A2 is a hydrogen atom or a C.sub.1-4 alkyl group, 7) --NR.sup.A3R.sup.A4 wherein R.sup.A3 and R.sup.A4 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 8) --COOR.sup.A5 wherein R.sup.A5 is a hydrogen atom or a C.sub.1-4 alkyl group, 9) --NR.sup.A6COR.sup.A7 wherein R.sup.A6 is a hydrogen atom or a C.sub.1-4 alkyl group, R.sup.A7 is a C.sub.1-4 alkyl group, a C.sub.3-12 carbon ring group or a heterocyclic group, 10) --NR.sup.A8COOR.sup.A9 wherein R.sup.A8 and R.sup.A9 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 11) a C.sub.3-12 carbon ring group and 12) a heterocyclic group, wherein the heterocyclic group is a saturated or unsaturated ring group having, besides carbon atom, 1 to 4 hetero atoms selected from an oxygen atom, a nitrogen atom and a sulfur atom, each of the C.sub.1-4 alkyl groups of the above-mentioned 4), R.sup.A1, R.sup.A2, R.sup.A3, R.sup.A4, R.sup.A5, R.sup.A6, R.sup.A7, R.sup.A8 and R.sup.A9 is optionally substituted by the same or different 1 to 3 substituents selected from the following group C, and each of the C.sub.3-12 carbon ring groups of the above-mentioned 11) and R.sup.A7, and the heterocyclic groups of 12) and R.sup.A7 is optionally substituted by the same or different 1 to 5 substituents selected from the following group C group B is a group consisting of 1) a halogen atom, 2) a nitro group, 3) a cyano group, 4) a C.sub.1-8 alkyl group, 5) a C.sub.2-4 alkenyl group, 6) a C.sub.2-4 alkynyl group, 7) --OR.sup.B1 wherein R.sup.B1 is a hydrogen atom or a C.sub.1-4 alkyl group, 8) --SR.sup.B2 wherein R.sup.B2 is a hydrogen atom or a C.sub.1-4 alkyl group, 9) --NR.sup.B3R.sup.B4 wherein R.sup.B3 is a hydrogen atom, a C.sub.1-4 alkyl group, a C.sub.3-12 carbon ring group or a heterocyclic group, and R.sup.B4 is a hydrogen atom or a C.sub.1-4 alkyl group, 10) --NR.sup.B5COR.sup.B6 wherein R.sup.B5 is a hydrogen atom or a C.sub.1-4 alkyl group, and R.sup.B6 is a hydrogen atom, a C.sub.1-4 alkyl group, a C.sub.3-12 carbon ring group or a heterocyclic group, 11) --NR.sup.B7COOR.sup.B8 wherein R.sup.B7 and R.sup.B8 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 12) --NR.sup.B9CONR.sup.B10R.sup.B11 wherein R.sup.B9, R.sup.B10 and R.sup.B11 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 13) --NR.sup.B12CONR.sup.B13OR.sup.B14 wherein R.sup.B12, R.sup.B13 and R.sup.B14 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 14) --NR.sup.B15SO.sub.2R.sup.B16 wherein R.sup.B15 is a hydrogen atom or a C.sub.1-4 alkyl group, and R.sup.B16 is a C.sub.1-4 alkyl group, a C.sub.3-12 carbon ring group or a heterocyclic group, 15) --SO.sub.2--R.sup.B17 wherein R.sup.B17 is a C.sub.1-4 alkyl group or a heterocyclic group, 16) --SO.sub.2NR.sup.B18R.sup.B19 wherein R.sup.B18 and R.sup.B19 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 17) --P(.dbd.O)(R.sup.B20)(R.sup.B21) wherein R.sup.B20 and R.sup.B21 are the same or different and each is a C.sub.1-4 alkyl group, 18) --COOR.sup.B22 wherein R.sup.B22 is a hydrogen atom or a C.sub.1-4 alkyl group, 19) --CONR.sup.B23R.sup.B24 wherein R.sup.B23 and R.sup.B24 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 20) --NR.sup.B25SO.sub.2NR.sup.B26R.sup.B27 wherein R.sup.B25, R.sup.B26 and R.sup.B27 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 21) --NR.sup.B28SO.sub.2NR.sup.B29CONR.sup.B30R.sup.B31 wherein R.sup.B28, R.sup.B29, R.sup.B30 and R.sup.B31 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 22) a C.sub.3-12 carbon ring group and 23) a heterocyclic group wherein each of the "C.sub.1-8 alkyl group" of the above-mentioned 4), and the C.sub.1-4 alkyl groups for R.sup.B1 to R.sup.B31 is optionally substituted by the same or different 1 to 3 substituents selected from the above-mentioned group A, each of the C.sub.2-4 alkenyl group of 5) and the C.sub.2-4 alkynyl group of 6) is optionally substituted by the same or different 1 to 3 substituents selected from the above-mentioned group A, the heterocyclic group is a saturated or unsaturated ring group having, besides carbon atom, 1 to 4 hetero atoms selected from an oxygen atom, a nitrogen atom and a sulfur atom, and each of the C.sub.3-12 carbon ring group of the above-mentioned 22), R.sup.B3, R.sup.B6 and R.sup.B16, and the heterocyclic group of the above-mentioned 23), R.sup.B3, R.sup.B6, R.sup.B16 and R.sup.B17 is optionally substituted by the same or different 1 to 5 substituents selected from the following group C, and group C is a group consisting of 1) a halogen atom, 2) a cyano group, 3) a C.sub.1-4 alkyl group, 4) --OR.sup.C1 wherein R.sup.C1 is a hydrogen atom or a C.sub.1-4 alkyl group, 5) --NR.sup.C2R.sup.C3 wherein R.sup.C2 and R.sup.C3 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 6) --COOR.sup.C4 wherein R.sup.C4 is a hydrogen atom or a C.sub.1-4 alkyl group and 7) an oxo group, whereupon p15 protein is induced. 17. A method of arresting a cell cycle in the G0/G1 phase in a mammal in need thereof comprising administering to the mammal a cell cycle arresting amount of a compound represented by the following formula [I] or a pharmaceutically acceptable salt, hydrate, or solvate thereof: ##STR00697## wherein X.sup.1 and X.sup.2 are the same or different and each is a carbon atom or a nitrogen atom, a ##STR00698## moiety is ##STR00699## R.sup.1 and R.sup.2 are the same or different and each is a C.sub.1-6 alkyl group, a C.sub.2-6 alkenyl group, wherein the C.sub.1-6 alkyl group and the C.sub.2-6 alkenyl group are optionally substituted by 1 to 3 substituents selected from the following group A, or ##STR00700## wherein m is 0 or an integer of 1 to 4, ring Cy is a C.sub.3-12 carbon ring group or a heterocyclic group, wherein the heterocyclic group is a saturated or unsaturated ring group having, besides carbon atom, 1 to 4 hetero atoms selected from an oxygen atom, a nitrogen atom and a sulfur atom, the C.sub.3-12 carbon ring group and the heterocyclic group are optionally substituted by 1 to 5 substituents selected from the following group B, R.sup.6 is ##STR00701## wherein m is 0, and ring Cy is a C.sub.3-12 carbon ring group or a heterocyclic group, wherein the C.sub.3-12 carbon ring group and the heterocyclic group are optionally substituted by 1 to 5 substituents selected from the following group B, R.sup.3, R.sup.4, and R.sup.5 are the same or different and each is a hydrogen atom, a hydroxyl group, a C.sub.1-6 alkyl group, a C.sub.2-6 alkenyl group, wherein the C.sub.1-6 alkyl group and the C.sub.2-6 alkenyl group are optionally substituted by 1 to 3 substituents selected from the following group A, a C.sub.3-12 carbon ring group or a heterocyclic group, wherein the heterocyclic group is a saturated or unsaturated ring group having, besides carbon atom, 1 to 4 hetero atoms selected from an oxygen atom, a nitrogen atom and a sulfur atom, and the C.sub.3-12 carbon ring group and the heterocyclic group are optionally substituted by 1 to 5 substituents selected from the following group B, or R.sup.2 and R.sup.3 are optionally linked to form a C.sub.1-4 alkylene group, or R.sup.4 and R.sup.5 are optionally linked to form a C.sub.1-4alkylene group, wherein group A is a group consisting of 1) a halogen atom, 2) a nitro group, 3) a cyano group, 4) a C.sub.1-4 alkyl group, 5) --OR.sup.A1 wherein R.sup.A1 is a hydrogen atom or a C.sub.1-4 alkyl group, 6) --SR.sup.A2 wherein R.sup.A2 is a hydrogen atom or a C.sub.1-4 alkyl group, 7) --NR.sup.A3R.sup.A4 wherein R.sup.A3 and R.sup.A4 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 8) --COOR.sup.A5 wherein R.sup.A5 is a hydrogen atom or a C.sub.1-4 alkyl group, 9) --NR.sup.A6COR.sup.A7 wherein R.sup.A6 is a hydrogen atom or a C.sub.1-4 alkyl group, R.sup.A7 is a C.sub.1-4 alkyl group, a C.sub.3-12 carbon ring group or a heterocyclic group, 10) --NR.sup.A8COOR.sup.A9 wherein R.sup.A8 and R.sup.A9 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 11) a C.sub.3-12 carbon ring group and 12) a heterocyclic group, wherein the heterocyclic group is a saturated or unsaturated ring group having, besides carbon atom, 1 to 4 hetero atoms selected from an oxygen atom, a nitrogen atom and a sulfur atom, each of the C.sub.1-4 alkyl groups of the above-mentioned 4), R.sup.A1, R.sup.A2, R.sup.A3, R.sup.A4, R.sup.A5, R.sup.A6, R.sup.A7, R.sup.A8 and R.sup.A9 is optionally substituted by the same or different 1 to 3 substituents selected from the following group C, and each of the C.sub.3-12 carbon ring groups of the above-mentioned 11) and R.sup.A7, and the heterocyclic groups of 12) and R.sup.A7 is optionally substituted by the same or different 1 to 5 substituents selected from the following group C group B is a group consisting of 1) a halogen atom, 2) a nitro group, 3) a cyano group, 4) a C.sub.1-8 alkyl group, 5) a C.sub.2-4 alkenyl group, 6) a C.sub.2-4 alkynyl group, 7) --OR.sup.B1 wherein R.sup.B1 is a hydrogen atom or a C.sub.1-4 alkyl group, 8) --SR.sup.B2 wherein R.sup.B2 is a hydrogen atom or a C.sub.1-4 alkyl group, 9) --NR.sup.B3R.sup.B4 wherein R.sup.B3 is a hydrogen atom, a C.sub.1-4 alkyl group, a C.sub.3-12 carbon ring group or a heterocyclic group, and R.sup.B4 is a hydrogen atom or a C.sub.1-4 alkyl group, 10) --NR.sup.B5COR.sup.B6 wherein R.sup.B5 is a hydrogen atom or a C.sub.1-4 alkyl group, and R.sup.B6 is a hydrogen atom, a C.sub.1-4 alkyl group, a C.sub.3-12 carbon ring group or a heterocyclic group, 11) --NR.sup.B7COOR.sup.B8 wherein R.sup.B7 and R.sup.B8 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 12) --NR.sup.B9CONR.sup.B10R.sup.B11 wherein R.sup.B9, R.sup.B10 and R.sup.B11 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 13) --NR.sup.B12CONR.sup.B13OR.sup.B14 wherein R.sup.B12, R.sup.B13 and R.sup.B14 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 14) --NR.sup.B15SO.sub.2R.sup.B16 wherein R.sup.B15 is a hydrogen atom or a C.sub.1-4 alkyl group, and R.sup.B16 is a C.sub.1-4 alkyl group, a C.sub.3-12 carbon ring group or a heterocyclic group, 15) --SO.sub.2--R.sup.B17 wherein R.sup.B17 is a C.sub.1-4 alkyl group or a heterocyclic group, 16) --SO.sub.2NR.sup.B18R.sup.B19 wherein R.sup.B18 and R.sup.B19 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 17) --P(.dbd.O)(R.sup.B20)(R.sup.B21) wherein R.sup.B20 and R.sup.B21 are the same or different and each is a C.sub.1-4 alkyl group, 18) --COOR.sup.B22 wherein R.sup.B22 is a hydrogen atom or a C.sub.1-4 alkyl group, 19) --CONR.sup.B23R.sup.B24 wherein R.sup.B23 and R.sup.B24 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 20) --NR.sup.B25SO.sub.2NR.sup.B26R.sup.B27 wherein R.sup.B25, R.sup.B26 and R.sup.B27 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 21) --NR.sup.B28SO.sub.2NR.sup.B29CONR.sup.B30R.sup.B31 wherein R.sup.B28, R.sup.B29, R.sup.B30 and R.sup.B31 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 22) a C.sub.3-12 carbon ring group and 23) a heterocyclic group wherein each of the "C.sub.1-8 alkyl group" of the above-mentioned 4), and the C.sub.1-4 alkyl groups for R.sup.B1 to R.sup.B31 is optionally substituted by the same or different 1 to 3 substituents selected from the above-mentioned group A, each of the C.sub.2-4 alkenyl group of 5) and the C.sub.2-4 alkynyl group of 6) is optionally substituted by the same or different 1 to 3 substituents selected from the above-mentioned group A, the heterocyclic group is a saturated or unsaturated ring group having, besides carbon atom, 1 to 4 hetero atoms selected from an oxygen atom, a nitrogen atom and a sulfur atom, and each of the C.sub.3-12 carbon ring group of the above-mentioned 22), R.sup.B3, R.sup.B6 and R.sup.B16, and R.sup.B6, R.sup.B16, and the heterocyclic group of the above-mentioned 23), R.sup.B3, R.sup.B6, R.sup.B16 and R.sup.B17 optionally substituted by the same or different 1 to 5 substituents selected from the following group C, and group C is a group consisting of 1) a halogen atom, 2) a cyano group, 3) a C.sub.1-4 alkyl group, 4) --OR.sup.C1 wherein R.sup.C1 is a hydrogen atom or a C.sub.1-4 alkyl group, 5) --NR.sup.C2R.sup.C3 wherein R.sup.C2 and R.sup.C3 are the same or different and each is a hydrogen atom or a C.sub.1-4 alkyl group, 6) --COOR.sup.C4 wherein R.sup.C4 is a hydrogen atom or a C.sub.1-4 alkyl group and 7) an oxo group, whereupon the cell cycle is arrested in the G0/G1 phase. 18. The method of claim 1, wherein the undesirable cell proliferation is cancer. 19. The method of claim 18, wherein the cancer is melanoma. 20. The method of claim 18, wherein the cancer is pancreatic cancer. 21. The method of claim 18, wherein the cancer is non-small cell lung cancer. 22. The method of claim 18, wherein the cancer is acute myeloid leukemia. 23. The method of any one of claims 1, 15-17, and 18-22, further comprising administering to the mammal a therapeutic amount of at least one antitumor compound that is not a compound of the formula [I]. 24. The method of claim 23, wherein the at least one antitumor compound is an apoptosis inducer. 25. The method of claim 24, wherein the apoptosis inducer is gemcitabine. 26. The method of any one of claims 1, 15-17, and 18-22, wherein the compound of formula [I] is N-{3-[3-cyclopropyl-5-(2-fluoro-4-iodo-phenylamino)-6,8-dimethyl-2,4,7-tr- ioxo-3,4,6,7-tetrahydro-2H-pyrido[4,3-d]pyrimidin-1-yl]-phenyl}-acetamide or a pharmaceutically acceptable salt, hydrate, or solvate thereof. 27. The method of claim 26, wherein the compound is the sodium salt thereof. 28. The method of claim 26, wherein the compound is the hydrate thereof. 29. The method of claim 26, wherein the compound is the acetic acid solvate thereof. 30. The method of claim 26, wherein the compound is the dimethylsulfoxide solvate thereof. 31. The method of claim 26, wherein the compound is the ethanol solvate thereof. 32. The method of claim 26, wherein the compound is the nitromethane solvate thereof. 33. The method of claim 26, wherein the compound is the chlorobenzene solvate thereof. 34. The method of claim 26, wherein the compound is the 1-pentanol solvate thereof. 35. The method of claim 26, wherein the compound is the isopropyl alcohol solvate thereof. 36. The method of claim 26, wherein the compound is the ethylene glycol solvate thereof. 37. The method of claim 26, wherein the compound is the 3-methylbutanol solvate thereof. 38. The method of claim 23, which is N-{3-[3-cyclopropyl-5-(2-fluoro-4-iodo-phenylamino)-6,8-dimethyl-2,4,7-tr- ioxo-3,4,6,7-tetrahydro-2H-pyrido[4,3-d]pyrimidin-1-yl]-phenyl}-acetamide or a pharmaceutically acceptable salt, hydrate, or solvate thereof. 39. The method of claim 38, wherein the compound is the sodium salt thereof. 40. The method of claim 38, wherein the compound is the hydrate thereof. 41. The method of claim 38, wherein the compound is the acetic acid solvate thereof. 42. The method of claim 38, wherein the compound is the dimethylsulfoxide solvate thereof. 43. The method of claim 38, wherein the compound is the ethanol solvate thereof. 44. The method of claim 38, wherein the compound is the nitromethane solvate thereof. 45. The method of claim 38, wherein the compound is the chlorobenzene solvate thereof. 46. The method of claim 38, wherein the compound is the 1-pentanol solvate thereof. 47. The method of claim 38, wherein the compound is the isopropyl alcohol solvate thereof. 48. The method of claim 38, wherein the compound is the ethylene glycol solvate thereof. 49. The method of claim 38, wherein the compound is the 3-methylbutanol solvate thereof.