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. 2019 Mar 19;11(2):191–208. doi: 10.1007/s12551-019-00506-5

Fig. 9.

Fig. 9

Simulated kinetics of the growth of amyloid occurring via nucleation at the surface of an amorphous aggregate (Eqn. Set 8) described in terms of the total mass concentration (solid line – left axis) and the average degree of polymerization (dotted line – right axis) for amyloid attached to the surface (green), amyloid growing in the bulk phase (red) and amorphous aggregate (blue). a Effect of variation in the number of nucleation sites per unit area of amorphous aggregate, ϵ<iIB>: The parameter ϵ<iIB> was varied from ϵ<iIB>= 1 × 10−5 ϵmax (thin lines) to ϵ<iIB>=ϵmax (with ϵmax defined as the inverse of the projection area of an assumed spherical adsorbing monomer, i.e., ϵmax=1/(π.R12). b Effect of variation in the scission rate of surface attached amyloid, ks°AS: The scission rate constant for amyloid attached to the surface of the amorphous aggregate, ks°AS, was varied from ks°AS= 1 × 10−4s−1 (thin lines) to ks°AS= 0.1 s−1 (thick lines). (c) Effect of variation in the rate of growth of amorphous aggregate, kgIB: The growth rate constant for amorphous aggregation was varied from kgIB=1×102M−1s−1 (thin lines) to kgIB=1×105M−1s−1 (thick lines). Throughout these simulations, the bulk phase amyloid kinetics remain unchanged [knAB=0M−1s−1; kgAB=1×105M−1s−1;kS°AB=1×10−4s−1; kJAB=1×103M−1s−1] and unless specified the amorphous aggregation and amyloid surface growth kinetics were respectively defined by the following rate constant sets amorphous aggregation - [knIB=0.1M−1s−1; kgIB=1×102M−1s−1;kS°IB=0.1s−1; kJIB=1×103M−1s−1] and amyloid surface growth - [knAS=0.01M−1s−1; kgAB=1×105M−1s−1;kS°AS=1×10−4s−1; kJAS=1×103M−1s−1]. (Translated and reprinted with full permission from Hirota and Hall (2019), CMC Publishing Corporation)