Polyphenol Type Compounds, Compositions Containing Same and Use Thereof for Preventing or Treating Diseases Involving Abnormal Cell Proliferation

1) A compound complying with formula (I), or one of its pharmaceutically acceptable salts, as a drug:

• Formula (I)
• wherein:
• XmR1, and YnR2, identical or different, are present, or
• one of XmR1, and YnR2 is absent, and in this case the bond between C1 and C2 is a double bond,
• XmR1 and YnR2 together represent a group A and in this case the bond between C1 and A is a double bond,
• where:
• R1 and R2 represent, independent of one another, an atom of hydrogen;
• an atom of halogen;
• an alkyl, alkene or alkyne radical, containing 1 to 18 atoms of carbon, possibly substituted by one or several amino, acid, acid derivative, alkoxy, aryl or hydroxy groups;
• an aryl radical possibly substituted by one or several amino, acid, acid derivative, alkoxy, aryl or hydroxy groups;
• an arylalkyl or alkylaryl radical, possibly substituted by one or several amino, acid, acid derivative, alkoxy, aryl or hydroxy groups;
• or a nitro function;
• or R1 and R2 together form a cycle or a heterocycle, possibly substituted,
• m is a whole number chosen among 0 and 1, n is a whole number chosen among 0 and 1,
• X and Y represent independent of each other —O—, —OC(═O)—, —OC(═O)O—, —OC(═O)N—, —NR3—, —NR3C(═O)—, —NR3C(═O)O—, —NR3C(O)NR3—, —C(═O)—, —C(═O)O—, —S(O)q—, or —P(O)r—,
• q is a whole number chosen among 0, 1, 2 and 3, r is a whole number chosen from among 0, 1, 2 and 3,
• R3 represents an atom of hydrogen;
• an alkyl, alkene or alkyne radical, comprising 1 to 18 carbons, possibly substituted by one or several amino, acid, acid derivative, alkoxy, aryl or hydroxy groups;
• an aryl radical, possibly substituted by one or several amino, acid, acid derivative, alkoxy, aryl or hydroxy groups;
• an arylalkyl or alkylaryl radical possibly substituted by one or several amino, acid, acid derivative, alkoxy, aryl or hydroxy groups;
• or an alkoxy radical possibly substituted by an aryl radical;
• A represents O, S, NOR5, NR6 or CR5R6, where R5 and R6 represent, independent of each other, an atom of hydrogen, an alkyl, alkene or alkyne radical, comprising 1 to 18 atoms of carbon, possibly substituted by one or several amino, acid, acid derivative, alkoxy, aryl or hydroxy groups;
• an arylalkyl or alkylaryl radical possibly substituted by one or several amino, acid, acid derivative, alkoxy, aryl or hydroxy groups;
• or an alkoxy radical, possibly substituted by an aryl radical.