CLAIMS

1. A PYY compound having a maximum of 10 amino acid modifications as compared to hPYY(3-36) (SEQ ID NO:2), wherein the PYY compound comprises

i) lysine at the position corresponding to position 7 or 10 of hPYY(l-36) (SEQ ID NO: l);

ii) tryptophan at the position corresponding to position 30 of hPYY(l-36) (SEQ ID NO: l);

iii) leucine at the position corresponding to position 31 of hPYY(l-36) (SEQ ID NO: 1);

iv) tyrosine at the position corresponding to position 28 of hPYY(l-36) (SEQ ID NO: l) and/or isoleucine at the position corresponding to position 22 of hPYY(l-36) (SEQ ID NO: l); and

v) a modifying group attached to the epsilon amino group of said lysine at the position corresponding to position 7 or 10 of hPYY(l-36) (SEQ ID NO: l),

wherein said modifying group is defined by A-[B]r-C- or A-[B]r-C-[B]w, wherein

A- is selected from Chem. 1 and Chem. 2

Chem. 1 : HOOC-(CH2)p-CO-*,

Chem. 2: H03S-(CH2)q-CO-*

wherein p is an integer in the range of 14-18, and q is an integer in the range of 15-17;

B- is Chem. 3

Chem. 3: *[NH-CH(COOH)-(CH2)2-CO-]-*,

r is an integer in the range of 1-3;

w is an integer in the range of 1-3; and

C- is absent or selected from Chem. 4 and Chem. 5

Chem. 4: *[NH-(CH2)2-[0-(CH2)2]s-0-(CH2)t-CO-]u-*

Chem. 5: *[NH-(CH2)v-CO-]x-*

wherein s is an integer in the range of 1-3, t is an integer in the range of 1-3, u is an integer in the range of 1-4, v is an integer in the range of 3-7, and x is an integer in the range of 1-3;

wherein * denotes the points of attachment, and wherein A, B, and C are interconnected via amide bonds and in the sequence indicated via said point of attachments; or a pharmaceutically acceptable salt, amide, or ester of said PYY compound; and wherein if the modifying group is A-B-C-B, C cannot be absent.

2. A PYY compound according to claim 1, wherein A- is selected from Chem. 1 and Chem. 2

Chem. 1 : HOOC-(CH2)p-CO-*,

Chem. 2: H03S-(CH2)q-CO-*

and wherein p is an integer in the range of 16-18, and q is 15.

3. A PYY compound according to any one of the preceding claims, wherein A- is Chem. 1

Chem. 1 : HOOC-(CH2)p-CO-*,

and wherein p is an integer in the range of 14-18.

4. A PYY compound according to any one of the preceding claims, wherein A- is Chem. 1

Chem. 1 : HOOC-(CH2)p-CO-*,

and wherein p is an integer in the range of 16-18.

5. A PYY compound according to any one of the preceding claims, wherein B- is Chem. 3

Chem. 3 : *[NH-CH(COOH)-(CH2)2-CO-]-*,

r is an integer in the range of 1-2;

w is an interger in the range of 1-2.

6. A PYY compound according to any one of the preceding claims, wherein C- is absent or selected from Chem. 4a and Chem. 5a

Chem. 4a : *[NH-(CH2)2-[0-(CH2)2]2-0-(CH2)2-CO-]u-*

Chem. 5a : *[NH-(CH2)5-CO-]x-*

wherein u is an integer in the range of 1-4, and x is an integer in the range of 1-3.

7. A PYY compound according to any one of the preceding claims, wherein the positions corresponding to positions 1 and 2 of hPYY(l-36) (SEQ ID NO : l) are absent.

8. A PYY compound according to any one of the preceding claims, wherein the positions corresponding to positions 1-3 of hPYY(l-36) (SEQ ID NO: l) are absent.

9. A PYY compound according to any one of the preceding claims, wherein the positions corresponding to positions 1-3 of hPYY(l-36) (SEQ ID NO: l) are absent, and wherein the PYY compound further comprises an N-terminal substituent, wherein the N-terminal substituent is an alkoxy group comprising up to 12 carbon atoms.

10. A PYY compound according claim 1 selected from the following :

N{Epsilon-7}-[(4S)-4-carboxy-4-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)-butanoyl]amino]butanoyl]-[Arg4,Lys7,Glnl8,Tyr28,Trp30,Leu31]hPYY(3-36) (Compound i);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[(4S)-4-carboxy-4-(17-carboxy-heptadecanoylamino)butanoyl]-[Arg4,Lys7,Glnl8,Tyr28,Trp30,Leu31]hPYY(4-36) (Compound 2);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[2-[2-[2-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butanoyl]amino]ethoxy]ethoxy]acetyl]amino]-ethoxy]ethoxy]acetyl]-[Arg4,Lys7,Glnl8,Tyr28,Trp30,Leu31]hPYY(4-36) (Compound 3);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-6-[[(4S)-4-carboxy-4-(17-carboxy-heptadecanoylamino)butanoyl]amino]hexanoyl-[Arg4,Lys7,Pro9,Glnl8,Tyr28,

Trp30,Leu31]hPYY(4-36) (Compound 4);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[2-[2-[2-[[(4S)-4-carboxy-4-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butanoyl]amino]butanoyl]amino]-ethoxy]ethoxy]-acetyl]amino]ethoxy]ethoxy]acetyl]-[Arg4,Lys7,Glnl8,Tyr28,Trp30, Leu31]hPYY(4-36) (Compound 5);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[(4S)-4-carboxy-4-(15-carboxy-pentadecanoylamino)butanoyl]-[Arg4,Lys7,Glnl8,Tyr28,Trp30,Leu31]hPYY(4-36) (Compound 6);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[(4S)-4-carboxy-4-(19-carboxy-nonadecanoylamino)butanoyl]-[Arg4,Lys7,Glnl8,Tyr28,Trp30,Leu31]hPYY(4-36)

(Compound 7);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[(4S)-4-carboxy-4-(17-carboxy-heptadecanoylamino)butanoyl]amino]ethoxy]ethoxy]acetyl]-[Arg4,Lys7,Glnl8,Tyr28, Trp30,Leu31]hPYY(4-36) (Compound 8);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[(4S)-4-carboxy-4-(16-sulfohexadecanoyl-amino)butanoyl]-[Arg4,Lys7,Glnl8,Tyr28,Trp30,Leu31]hPYY(4-36) (Compound 9);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-6-[[(4S)-4-carboxy-4-(19-carboxy-nonadecanoylamino)butanoyl]amino]hexanoyl-[Arg4,Lys7,Glnl8,Tyr28,Trp30,

Leu31]hPYY(4-36) (Compound 10);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[(4S)-4-carboxy-4-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butanoyl]amino]butanoyl]-[Arg4,Lys7,Pro9,Glnl8, Tyr28,Trp30,Leu31]hPYY(4-36) (Compound 11);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[(4S)-4-carboxy-4-[[(4S)-4-carboxy-4-(19-carboxynonadecanoylamino)butanoyl]amino]butanoyl]-[Arg4,Lys7,Pro9,Glnl8, Tyr28,Trp30,Leu31]hPYY(4-36) (Compound 12);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[2-[2-[2-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butanoyl]amino]ethoxy]ethoxy]acetyl]amino]-ethoxy]ethoxy]acetyl]-[Arg4,Lys7,Ser9,Glnl8,Tyr28,Trp30,Leu31]hPYY(4-36)

(Compound 13);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[2-[2-[2-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butanoyl]amino]ethoxy]ethoxy]acetyl]amino]-ethoxy]ethoxy]acetyl]-[Arg4,Lys7,Thr9,Glnl8,Tyr28,Trp30,Leu31]hPYY(4-36)

(Compound 14);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[(4S)-4-carboxy-4-(17-carboxy-heptadecanoylamino)butanoyl]-[Arg4,Lys7,Thrl3,Glnl8,Tyr28,Trp30,Leu31]hPYY(4-36) (Compound 15);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[2-[2-[2-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butanoyl]amino]ethoxy]ethoxy]acetyl]amino]-ethoxy]ethoxy]acetyl]-[Arg4,Lys7,Thrl3,Glnl8,Tyr28,Trp30,Leu31]hPYY(4-36)

(Compound 16);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[(4S)-4-carboxy-4-(17-carboxy-heptadecanoylamino)butanoyl]-[Arg4,Lys7,Glnl8,Ala24,Tyr28,Trp30,Leu31]hPYY(4-36) (Compound 17);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[(4S)-4-carboxy-4-(17-carboxy-heptadecanoylamino)butanoyl]-[Arg4,Lys7,Glnl8,Ile24,Tyr28,Trp30,Leu31]hPYY(4-36) (Compound 18);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-6-[[(4S)-4-carboxy-4-(19-carboxy-nonadecanoylamino)butanoyl]amino]hexanoyl-[Arg4,Lys7,Glnl8,Ile24,Tyr28,Trp30, Leu31]hPYY(4-36) (Compound 19);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-6-[[(4S)-4-carboxy-4-(17-carboxy-heptadecanoylamino)butanoyl]amino]hexanoyl-[Arg4,Lys7,Glnl8,Ile24,

Tyr28,Trp30,Leu31]hPYY(4-36) (Compound 20);

N{alpha-4}-}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[2-[2-[2-[[(4S)-4-carboxy-4-(17-carboxy-heptadecanoylamino)butanoyl]amino]ethoxy]ethoxy]acetyl]amino]ethoxy]ethoxy]acetyl] -[Arg4,Lys7,Pro9,Glnl8,Tyr28,Trp30,Leu31]hPYY(4-36) (Compound 21);

N{Alpha-4}-acetyl,N{Epsilon-7}-[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)-butanoyl]-[Arg4,Lys7,Glnl8,Ile24,Tyr28,Trp30,Leu31]hPYY(4-36) (Compound 22);

N{Epsilon-7}-[(4S)-4-carboxy-4-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)-butanoyl]amino]butanoyl]-[Arg4,Lys7,Glnl8,Ile22,Trp30,Leu31]hPYY(3-36) (Compound 23);

N{Epsilon-7}-[2-[2-[2-[[2-[2-[2-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)-butanoyl]amino]ethoxy]ethoxy]acetyl]amino]ethoxy]ethoxy]acetyl]-[Arg4,Lys7,Glnl8, Ile22,Trp30,Leu31]hPYY(3-36) (Compound 24);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[(4S)-4-carboxy-4-(17-carboxy-heptadecanoylamino)butanoyl]-[Arg4,Lys7,Glnl8,Ile22,Trp30,Leu31]hPYY(4-36) (Compound 25);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[2-[2-[2-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butanoyl]amino]ethoxy]ethoxy]acetyl]amino]-ethoxy]ethoxy]acetyl]-[Arg4,Lys7,Glnl8,Ile22,Trp30,Leu31]hPYY(4-36) (Compound 26);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[(4S)-4-carboxy-4-(17-carboxy-heptadecanoylamino)butanoyl]-[Arg4,Lys7,Pro9,Glnl8,Ile22,Trp30,Leu31]hPYY(4-36) (Compound 27);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[2-[2-[2-[[(4S)-4-carboxy-4-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butanoyl]amino]butanoyl]amino]-ethoxy]ethoxy]acetyl]amino]ethoxy]ethoxy]acetyl]-[Arg4,Lys7,Glnl8,Ile22,Trp30, Leu31]hPYY(4-36) (Compound 28);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[(4S)-4-carboxy-4-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butanoyl]amino]butanoyl]-[Arg4,Lys7,Glnl8,Ile22, Tyr28,Trp30,Leu31]hPYY(4-36) (Compound 29);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[2-[2-[2-[[(4S)-4-carboxy-4-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butanoyl]amino]butanoyl]amino]-ethoxy]ethoxy]acetyl]amino]ethoxy]ethoxy]acetyl]-[Arg4,Lys7,Glnl8,Ile22,Tyr28, Trp30,Leu31]hPYY(4-36) (Compound 30);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[2-[2-[2-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butanoyl]amino]ethoxy]ethoxy]acetyl]-amino]ethoxy]ethoxy]acetyl]-[Arg4,Lys7,Glnl8,Ile22,Tyr28,Trp30,Leu31]hPYY(4-36) (Compound 31);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-6-[[(4S)-4-carboxy-4-(17-carboxy-heptadecanoylamino)butanoyl]amino]hexanoyl-[Arg4,Lys7,Glnl8,Ile22,Tyr28,

Trp30,Leu31]hPYY(4-36) (Compound 32);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[(4S)-4-carboxy-4-[[(4S)-4-carboxy-4-(19-carboxynonadecanoylamino)butanoyl]amino]butanoyl]-[Arg4,Lys7,Glnl8,

Ile22,Tyr28,Trp30,Leu31]hPYY(4-36) (Compound 33);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[(4S)-4-carboxy-4-(17-carboxy-heptadecanoylamino)butanoyl]-[Arg4,Lys7,Glnl8,Ile22,Ala24,Tyr28,Trp30,

Leu31]hPYY(4-36) (Compound 34);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[(4S)-4-carboxy-4-(17-carboxy-heptadecanoylamino)butanoyl]-[Arg4,Lys7,Glnl8,Gln22,Tyr28,Trp30,Leu31]hPYY(4-36) (Compound 35);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[2-[2-[2-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butanoyl]amino]ethoxy]ethoxy]acetyl]-amino]ethoxy]ethoxy]acetyl]-[Arg4,Lys7,Glnl8,Gln22,Tyr28,Trp30,Leu31]hPYY(4-36) (Compound 36);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[2-[2-[2-[[(4S)-4-carboxy-4-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butanoyl]amino]butanoyl]amino]-ethoxy]ethoxy]acetyl]amino]ethoxy]ethoxy]acetyl]-[Arg4,Lys7,Glnl8,Gln22,Tyr28, Trp30,Leu31]hPYY(4-36) (Compound 37);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[2-[2-[2-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butanoyl]amino]ethoxy]ethoxy]acetyl]amino]-ethoxy]ethoxy]acetyl]-[Arg4,Lys7,Glnl8,Val22,Tyr28,Trp30,Leu31]hPYY(4-36)

(Compound 38);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[2-[2-[2-[[(4S)-4-carboxy-4-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butanoyl]amino]butanoyl]-amino]ethoxy]ethoxy]acetyl]amino]ethoxy]ethoxy]acetyl]-[Arg4,Lys7,Glnl8,Val22, Tyr28,Trp30,Leu31]hPYY(4-36) (Compound 39);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[(4S)-4-carboxy-4-(17-carboxy-heptadecanoylamino)butanoyl]-[Arg4,Lys7,Glnl8,Val22,Tyr28,Trp30,Leu31]hPYY(4-36) (Compound 40);

N{alpha-4}-}-(3-Methylbutanoyl)-(N{Epsilon-7}-[(4S)-4-carboxy-4-[[(4S)-4-carboxy-4-(17-carboxy-heptadecanoylamino)butanoyl]amino]butanoyl]-[Arg4,Lys7,Glnl8,Val22, Tyr28,Trp30,Leu31]hPYY(4-36) (Compound 41);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[(4S)-4-carboxy-4-(17-carboxy-heptadecanoylamino)butanoyl]-[Arg4,Lys7,Thr9,Glnl8,Tyr28,Trp30,Leu31]hPYY(4-36) (Compound 42);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[(4S)-4-carboxy-4-(17-carboxy-heptadecanoylamino)butanoyl]-[Arg4,Lys7,Thr9,Glnl8,Gln22,Tyr28,Trp30,Leu31]hPYY(4-36) (Compound 43);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[(4S)-4-carboxy-4-(17-carboxy-heptadecanoylamino)butanoyl]-[Arg4,Lys7,Thr9,Glnl8,Val22,Tyr28,Trp30,Leu31]hPYY(4-36) (Compound 44);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[(4S)-4-carboxy-4-(17-carboxy-heptadecanoylamino)butanoyl]-[Arg4,Lys7,Thrl3,Glnl8,Gln22,Tyr28,

Trp30,Leu31]hPYY(4-36) (Compound 45);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[2-[2-[2-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butanoyl]amino]ethoxy]ethoxy]acetyl]-amino]-ethoxy]ethoxy]acetyl]-[Arg4,Lys7,Thrl3,Glnl8,Val22,Tyr28,Trp30,Leu31]hPYY(4-36) (Compound 46);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[(4S)-4-carboxy-4-(17-carboxy-heptadecanoylamino)butanoyl]-[Arg4,Lys7,Thrl3,Glnl8,Val22,Tyr28,

Trp30,Leu31]hPYY(4-36) (Compound 47);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[(4S)-4-carboxy-4-(19-carboxy-nonadecanoylamino)butanoyl]-[Arg4,Lys7,Glnl8,Tyr28,Trp30,Leu31]hPYY(4-36) (Compound 48);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[(4S)-4-carboxy-4-(17-carboxy-heptadecanoylamino)butanoyl]-[Arg4,Lys7,Glnl8,Ile22,Tyr28,Trp30,Leu31]hPYY(4-36) (Compound 49);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-10}-[(4S)-4-carboxy-4-[[2-[2-[2-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butanoyl]amino]ethoxy]ethoxy]-acetyl]amino]butanoyl]-[Arg4,Lysl0,Glnl8,Glu22,Tyr28,Trp30,Leu31]-PYY(4-36) (Compound 50);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-10}-[2-[2-[2-[[2-[2-[2-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butanoyl]amino]ethoxy]ethoxy]acetyl]-amino]ethoxy]ethoxy]acetyl]-[Arg4,Lysl0,Glnl8,Glu22,Tyr28,Trp30,Leu31]-PYY(4-36) (Compound 51);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-10}-[2-[2-[2-[[2-[2-[2-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butanoyl]amino]ethoxy]ethoxy]acetyl]amino]-ethoxy]ethoxy]acetyl]-[Arg4,Lysl0,Glnl8,Glu23,Tyr28,Trp30,Leu31]-PYY(4-36) (Compound 52);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-10}-[(4S)-4-carboxy-4-[[2-[2-[2-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butanoyl]amino]ethoxy]ethoxy]-acetyl]amino]butanoyl]-[Arg4,Lysl0,Glnl8,Glu23,Tyr28,Trp30,Leu31]-PYY(4-36) (Compound 53);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-10}-[(4S)-4-carboxy-4-[[2-[2-[2-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butanoyl]amino]ethoxy]ethoxy]-acetyl]amino]butanoyl]-[Arg4,Pro9,Lysl0,Glnl8,Glu22,Tyr28,Trp30,Leu31]-PYY(4-36) (Compound 54);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[(4S)-4-carboxy-4-(16-sulfohexadecanoylamino)butanoyl]-[Arg4,Lys7,Glnl8,Tyr28,Trp30,Leu31]-PYY(4-36) (Compound 55);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-10}-[(4S)-4-carboxy-4-[[2-[2-[2-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butanoyl]amino]ethoxy]ethoxy]-acetyl]amino]butanoyl]-[Arg4,Pro9,Lysl0,Glnl8,Tyr28,Trp30,Leu31]-PYY(4-36)

(Compound 56);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butanoyl]amino]ethoxy]ethoxy]acetyl]-[Arg4,Lys7,Glnl8,Val22,Tyr28,Trp30,Leu31]-PYY(4-36) (Compound 57);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[(4S)-4-carboxy-4-(15-carboxypentadecanoylamino)butanoyl]amino]ethoxy]ethoxy]acetyl]-[Arg4,Lys7,Glnl8,Tyr28,Trp30,Leu31]-PYY(4-36) (Compound 58);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-10}-[(4S)-4-carboxy-4-[[2-[2-[2-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butanoyl]amino]ethoxy]ethoxy]-acetyl]amino]butanoyl]-[Arg4,Lysl0,Glnl8,Tyr28,Trp30,Leu31]-PYY-(4-36) (Compound 59);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butanoyl]amino]ethoxy]ethoxy]acetyl]-[Arg4,Lys7,Glnl8,Ala24,Tyr28,Trp30,Leu31]-PYY(4-36) (Compound 60);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[2-[2-[2-[[(4S)-4-carboxy-4-(15-carboxypentadecanoylamino)butanoyl]amino]ethoxy]ethoxy]acetyl]-amino]ethoxy]ethoxy]acetyl]-[Arg4,Lys7,Pro9,Glnl8,Tyr28,Trp30,Leu31]-PYY-(4-36) (Compound 61);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[(4S)-4-carboxy-4-(13-carboxytridecanoylamino)butanoyl]amino]ethoxy]ethoxy]acetyl]-[Arg4,Lys7,Glnl8,Tyr28,Trp30,Leu31]-PYY(4-36) (Compound 62);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[2-[2-[2-[[(4S)-4-carboxy-4-(15-carboxypentadecanoylamino)butanoyl]amino]ethoxy]ethoxy]acetyl]-amino]ethoxy]ethoxy]acetyl]-[Arg4,Lys7,Glnl8,Tyr28,Trp30,Leu31]-PYY(3-36)

(Compound 63);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[2-[2-[2-[[2-[2-[2-[[2-[2-[2-[[(4S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butanoyl]amino]-ethoxy]ethoxy]acetyl]amino]ethoxy]ethoxy]acetyl]amino]ethoxy]ethoxy]acetyl]amino]et hoxy]ethoxy]acetyl]-[Arg4,Lys7,Pro9,Glnl8,Tyr28,Trp30,Leu31]-PYY(4-36) (Compound 65);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[2-[2-[2-[[(4S)-4-carboxy-4-(16-sulfohexadecanoylamino)butanoyl]amino]ethoxy]ethoxy]acetyl]-amino]ethoxy]ethoxy]acetyl]-[Arg4,Lys7,Pro9,Glnl8,Tyr28,Trp30,Leu31]-PYY(4-36) (Compound 66);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[(4S)-4-carboxy-4-(16-sulfohexadecanoylamino)butanoyl]amino]ethoxy]ethoxy]acetyl]-[Arg4,Lys7,Glnl8,Tyr28,Trp30,Leu31]-PYY(4-36) (Compound 67);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[2-[2-[2-[[(4S)-4-carboxy-4-(16-sulfohexadecanoylamino)butanoyl]amino]ethoxy]ethoxy]acetyl]-amino]ethoxy]ethoxy]acetyl]-[Arg4,Lys7,Glnl8,Tyr28,Trp30,Leu31]-PYY(4-36)

(Compound 68);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-10}-[(4S)-4-carboxy-4-[[2-[2-[2-[[(4S)-4-carboxy-4-(16-sulfohexadecanoylamino)butanoyl]amino]ethoxy]-ethoxy]acetyl]amino]butanoyl]-[Arg4,Pro9,Lysl0,Glnl8,Tyr28,Trp30,Leu31]-PYY-(4-36) (Compound 69);

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[(4S)-4-carboxy-4-(13-carboxytridecanoylamino)butanoyl]-[Arg4,Lys7,Pro9,Glnl8,Tyr28,Trp30,Leu31]-PYY-(4-36) (Compound 70); and

N{alpha-4}-(3-Methylbutanoyl)-N{Epsilon-7}-[2-[2-[2-[[(4S)-4-carboxy-4-(13-carboxytridecanoylamino)butanoyl]amino]ethoxy]ethoxy]acetyl]-[Arg4,Lys7,Pro9,Glnl8,Tyr28,Trp30,Leu31]-PYY-(4-36) (Compound 71).

11. A pharmaceutical composition comprising a PYY compound according to any one of the preceding claims, and at least one pharmaceutically acceptable excipient.

12. A PYY compound according to any one of the preceding claims, for use as a medicament.

13. A PYY compound according to any one of the preceding claims, for use in the treatment and/or prevention of all forms of diabetes and related diseases, such as eating disorders, diabetic complications, cardiovascular diseases and/or sleep apnoea; and/or for improving lipid parameters, improving β-cell function, and/or for delaying or preventing diabetic disease progression.

14. A PYY compound according to any one of the preceding claims, for use in the treatment and/or prevention of eating disorders, such as obesity, e.g. by decreasing food intake, reducing body weight, suppressing appetite, inducing satiety; treating or preventing binge eating disorder, bulimia nervosa, and/or obesity induced by administration of an antipsychotic or a steroid; reduction of gastric motility; delaying gastric emptying; increasing physical mobility; and/or prevention and/or treatment of comorbidities to obesity, such as osteoarthritis and/or urine incontinence.