ToTheDeath: Black's problems in this game stemmed from his poor choice of opening. Here are my comments, based on my own analysis and John Nunn's Keres- In Search of Perfection.
<5...f6?!> Black wanted to stop any Ng5 and most likely feared 5... Ng6 6. h4 or 5... h6 6. d4.
<7... Na5> If 7... Bg4 8. Nxe5! Nxe5 9. f3 with a better game for White.
<8...g6> If 8... Be6, 9. b4 Nc4 10. Bb3 is bad for Black.
<10.... dxe5> Or 10... fxe5 11. b4 Nac6 12. Bb3 
<12... Bd7> Trying to challenge the b3 bishop with ...Be6. If 12...Qd3 13. Bb2 Bg4 14. h3 Bd7 15. Bc2 Qd6 16. Qe2 is better for White.
<13...Bg4> 13... Qc8 14. Ne3
Be6 15. Nd5 O-O? 16. Nxc7 would be gruesome.
<16... Nd8> 16... O-O 17. Rd1 Qc8 18. Nd5 again with advantage to White.
<20... Nd6?> 20... Nxd5 21. exd5 Qd7 22. c5 is necessary, though White is much better.
<21. b5!?> A strong move, except that Keres and Nunn both missed the brutally powerful shot 21. Bh6!! winning in all variations.
The proof:
21... Bxh6 22. Nxf6+ Kf7 (or 22... Kf8 23. Nxe5 winning the queen; 22... Kd8 23. Nxe5 likewise) 23. b5 axb5 (23... Qc5 24. Nd7) 24. cxb5+ Qc4 25. Nxe5+
That's 4 different variations with 4 different Queen traps!
Back to the game:
<24... b6> Probably forced. 24... Bf8 25. b6 c6 26. Nxe5 fxe5 27. Rxe5+ Kd8 28. Rd1 is a rout.
<29. R5d2> This is OK, but as Nunn points out 29. a4! Be7 30. a5 bxa5 31. b6 is lights out.
<29... d5!> A correct offer of a pawn for counterplay.
<36... Bd4?> This loses prettily, but otherwise 37.a5 will be too much to bear.
<37. Rxd4! Rc5> If 37... exd4 38. Nxb6 Rc1+ 39. Kh2 Qd8 40. a5 is hopeless.
<40. d7> Black is powerless to stop the pawn from queening.
Kibitzing
sac: 38.Nxb6