Research Article

On the Involvement of Copper Binding to the N-Terminus of the Amyloid Beta Peptide of Alzheimer's Disease: A Computational Study on Model Systems

Table 1

Relative energies at 298 K of species discussed in the text: enthalpies based on MP2/LB energiesa.

ProcessEqn. no. Δ 𝐻 ( g ) (kJ mol−1) 𝑇 Δ 𝑆 ( g ) (kJ mol−1) Δ 𝐺 ( g ) (kJ mol−1) Δ Δ 𝐺 s o l v (kJ mol−1) Δ 𝐺 ( a q ) (kJ mol−1)

𝟏 + C u ( H 2 O ) 5 2 + 𝟐 𝐚 ( H 2 O ) 2 + 3 H 2 O + H + (5a)480.8−68.6412.2−390.2−18.0
𝟏 + C u ( H 2 O ) 5 2 + 𝟐 𝐛 ( H 2 O ) 2 + 3 H 2 O + H + (5b)533.6−76.1457.6−403.214.3
𝟏 + C u ( H 2 O ) 5 2 + 𝟐 𝐜 ( H 2 O ) 2 + 3 H 2 O + H + (5c)519.3−68.8450.5−381.429.1
𝟑 + C u ( H 2 O ) 5 𝟒 ( H 2 O ) + 4 H 2 O + H + (6)464.3−90.6373.6−323.410.2
𝐈 𝐦 + C u ( H 2 O ) 5 2 + C u ( 𝐈 𝐦 ) ( H 2 O ) 4 2 + + H 2 O (7a)−157.36.5−150.8150.3−0.5
2 𝐈 𝐦 + C u ( H 2 O ) 5 2 + C u ( 𝐈 𝐦 ) 2 ( H 2 O ) 3 2 + + 2 H 2 O (7b)−298.414.3−284.1273.2−10.9
𝟐 𝐚 ( H 2 O ) 2 + 𝐈 𝐦 𝟐 𝐚 ( H 2 O ) + H 2 O (8a)−105.03.9−101.177.0−24.1
𝟏 + C u ( 𝐈 𝐦 ) ( H 2 O ) 4 2 + 𝟐 𝐚 ( 𝐈 𝐦 ) ( H 2 O ) + 3 H 2 O + H + (8b)533.1−71.2461.9−463.5−41.6
𝟐 𝐚 ( 𝐈 𝐦 ) ( H 2 O ) + 𝐈 𝐦 𝟐 𝐚 ( 𝐈 𝐦 ) 2 + H 2 O (9a)−85.56.1−79.468.4−11.0
𝟏 + C u ( 𝐈 𝐦 ) 2 ( H 2 O ) 3 2 + 𝟐 𝐚 ( 𝐈 𝐦 ) 2 + 3 H 2 O + H + (9b)588.7−72.9515.8−517.9−42.2
𝟒 ( H 2 O ) + 𝐈 𝐦 𝟒 ( 𝐈 𝐦 ) + H 2 O (10a)−89.83.1−86.766.2−20.5
𝟑 + C u ( H 2 O ) 5 2 + + 𝐈 𝐦 𝟒 ( 𝐈 𝐦 ) + 5 H 2 O + H + (10b)374.5−87.5287.0−257.3−10.3
𝟒 ( 𝐈 𝐦 ) + 𝐈 𝐦 𝟒 ( 𝐈 𝐦 ) 2 (11)−105.635.9−69.776.66.9
𝟒 ( 𝐈 𝐦 ) + 𝐈 𝐦 + 𝟏 𝟐 𝐚 ( 𝐈 𝐦 ) 2 + 𝟑 (12)−84.128.8−55.312.5−42.8
𝟓 + C u ( H 2 O ) 5 2 + 𝟔 ( H 2 O ) 2 + 3 H 2 O (13)−300.3−29.5−329.8293.8−36.0
𝟔 ( H 2 O ) 2 + 𝐈 𝐦 𝟔 ( 𝐈 𝐦 ) ( H 2 O ) + H 2 O (14)−121.99.6−112.299.7−12.5
𝟔 ( 𝐈 𝐦 ) ( H 2 O ) + N M A 𝟕 + H 2 O (15)68.5−3.764.8−85.4−20.5
𝟏 + 𝟔 ( H 2 O ) 2 8 𝐚 + 2 H 2 O + H + (16a)623.3−44.8578.4−535.62.8
𝟐 𝐚 ( H 2 O ) 2 + 𝟓 𝟖 𝐚 + 2 H 2 O (16b)−157.9−5.7−163.6 148.4−15.2
𝟏 + 𝟔 ( 𝐈 𝐦 ) ( H 2 O ) 𝟗 + H 2 O + H + (17a)608.0−8.4605.8−543.822.0
𝟗 𝟖 𝐚 + 𝐈 𝐦 (17b)130.9−46.084.8−91.5−6.7
𝟗 + H 2 O + H + 𝟓 + 𝟑 𝐚 ( 𝐈 𝐦 ) H 2 O (17c)−183.736.4−147.3162.9−24.4
𝟏 + C u ( H 2 O ) 3 + 𝟐 𝐈 ( H 2 O ) + 2 H 2 O + H + (18)869.3−40.1829.2−783.95.3
𝐈 𝐦 + C u ( H 2 O ) 3 + C u ( 𝐈 𝐦 ) ( H 2 O ) + + 2 H 2 O (19)−73.2−16.6−89.873.5−16.3
𝐈 𝐦 + C u ( 𝐈 𝐦 ) ( H 2 O ) + C u ( 𝐈 𝐦 ) 2 + + H 2 O (20a)−120.18.5−111.684.2−27.4
𝟓 + C u ( 𝐈 𝐦 ) ( H 2 O ) + C u ( 𝐈 𝐦 ) ( H 1 3 H 1 4 ) + + H 2 O (20b)−105.1−5.2−110.467.0−43.4
𝟓 + C u ( 𝐈 𝐦 ) ( H 2 O ) + C u ( 𝐈 𝐦 ) ( H 1 4 H 1 3 ) + + H 2 O (20c)−135.92.7−133.2102.2−31.1
𝟏 + C u ( 𝐈 𝐦 ) ( H 2 O ) + 𝟐 𝐈 ( 𝐈 𝐦 ) + H 2 O + H + (21)854.4−8.9845.5−808.5−3.0
𝟐 𝐈 ( 𝐈 𝐦 ) + 𝐈 𝐦 𝟐 𝐈 ( 𝐈 𝐦 ) 2 (22)−71.633.6−38.160.822.7
𝟏 + C u ( 𝐈 𝐦 ) 2 + 𝟐 𝐈 ( 𝐈 𝐦 ) 2 + H + (23)902.916.2919.1−831.947.2
𝟓 + C u ( H 2 O ) 3 + 𝟔 𝐈 + 3 H 2 O (24)−176.3−23.4−199.7126.9−72.8
𝟏 + 𝟔 𝐈 𝟖 𝐚 𝐈 + H + (25a)993.0−7.1985.9−881.364.6
𝟏 + 𝟔 𝐈 𝟖 𝐛 𝐈 + H + (25b)940.317.0957.3−853.963.4
N M A + 𝟔 𝐈 𝟕 𝐈 (26)−59.226.0−33.258.225.0
𝐈 𝐦 + 𝟔 𝐈 𝟔 𝐈 ( 𝐈 𝐦 ) (27)−74.227.9−46.356.410.1
𝟐 𝐚 ( H 2 O ) 2 + e 𝟐 𝐚 𝐈 ( H 2 O ) + H 2 O (28)−641.7−42.0−683.7215.9−467.8b
𝟐 𝐚 ( 𝐈 𝐦 ) ( H 2 O ) + e 𝟐 𝐈 ( 𝐈 𝐦 ) + H 2 O (29)−624.7−31.4−656.1187.8−468.3b
𝟐 𝐚 ( 𝐈 𝐦 ) 2 + 𝟓 + e + H + 𝟏 + C u ( 𝐈 𝐦 ) ( H 1 3 H 1 4 ) + (30a)−74.227.9−46.356.410.1b
𝟐 𝐚 ( 𝐈 𝐦 ) 2 + 𝟓 + e + H + 𝟏 + C u ( 𝐈 𝐦 ) ( H 1 4 H 1 3 ) + (30b)−1529.6−25.9−1555.41030.0−525.4b
𝟐 𝐚 ( 𝐈 𝐦 ) 2 + 𝟓 + e + H + 𝟏 + 𝟔 𝐈 ( 𝐈 𝐦 ) + 𝐈 𝐦 (31)−1570.9−7.4−1578.31037.7−540.6b
𝟐 𝐚 ( 𝐈 𝐦 ) 2 + 𝟓 + e + H + 𝟏 + 𝟔 𝐈 + 2 𝐈 𝐦 (32)−1496.7−35.3−1532.1981.3−550.8b
𝟔 ( H 2 O ) 2 + e 𝟔 𝐈 + 2 H 2 O (33)−906.1−64.5−970.6442.7−527.9b
𝟔 ( 𝐈 𝐦 ) ( H 2 O ) + e 𝟔 𝐈 + 𝐈 𝐦 + H 2 O (34)−784.2−74.1−858.4343.0−515.4b
𝟕 + e 𝟔 𝐈 + 𝐈 𝐦 + N M A (35)−715.7−77.8−793.5257.6−535.9b
𝟔 ( 𝐈 𝐦 ) ( H 2 O ) + e 𝟔 𝐈 ( 𝐈 𝐦 ) + H 2 O (36)−858.4−46.2−904.6399.4−505.3b

aNumbered structures are presented in Figures 14. bThe enthalpy correction 57 kJ mol−1 has not been added.