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BIOMD0000000566 - Morris2009 - α-Synuclein aggregation variable temperature and pH


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Reference Publication
Publication ID: 19101068
Morris AM, Finke RG.
Alpha-synuclein aggregation variable temperature and variable pH kinetic data: a re-analysis using the Finke-Watzky 2-step model of nucleation and autocatalytic growth.
Biophys. Chem. 2009 Mar; 140(1-3): 9-15
Department of Chemistry, Colorado State University, Fort Collins, CO 80523, USA.  [more]
Original Model: BIOMD0000000566.origin
Submitter: Audald Lloret i Villas
Submission ID: MODEL1501160001
Submission Date: 16 Jan 2015 15:32:39 UTC
Last Modification Date: 08 Apr 2016 18:52:39 UTC
Creation Date: 16 Jan 2015 16:18:55 UTC
Encoders:  Audald Lloret i Villas
set #1
bqmodel:isDerivedFrom BioModels Database BIOMD0000000567
PubMed 11152691
DOI 10.1021/ja9705102
set #2
bqbiol:hasTaxon Taxonomy Homo sapiens
set #3
bqbiol:isVersionOf Gene Ontology amyloid fibril formation
set #4
bqbiol:hasProperty Human Disease Ontology Parkinson's disease
Morris2009 - α-Synuclein aggregation variable temperature and pH

This model is described in the article:

Morris AM, Finke RG.
Biophys. Chem. 2009 Mar; 140(1-3): 9-15


The aggregation of proteins is believed to be intimately connected to many neurodegenerative disorders. We recently reported an "Ockham's razor"/minimalistic approach to analyze the kinetic data of protein aggregation using the Finke-Watzky (F-W) 2-step model of nucleation (A-->B, rate constant k(1)) and autocatalytic growth (A+B-->2B, rate constant k(2)). With that kinetic model we have analyzed 41 representative protein aggregation data sets in two recent publications, including amyloid beta, alpha-synuclein, polyglutamine, and prion proteins (Morris, A. M., et al. (2008) Biochemistry 47, 2413-2427; Watzky, M. A., et al. (2008) Biochemistry 47, 10790-10800). Herein we use the F-W model to reanalyze protein aggregation kinetic data obtained under the experimental conditions of variable temperature or pH 2.0 to 8.5. We provide the average nucleation (k(1)) and growth (k(2)) rate constants and correlations with variable temperature or varying pH for the protein alpha-synuclein. From the variable temperature data, activation parameters DeltaG(double dagger), DeltaH(double dagger), and DeltaS(double dagger) are provided for nucleation and growth, and those values are compared to the available parameters reported in the previous literature determined using an empirical method. Our activation parameters suggest that nucleation and growth are energetically similar for alpha-synuclein aggregation (DeltaG(double dagger)(nucleation)=23(3) kcal/mol; DeltaG(double dagger)(growth)=22(1) kcal/mol at 37 degrees C). From the variable pH data, the F-W analyses show a maximal k(1) value at pH approximately 3, as well as minimal k(1) near the isoelectric point (pI) of alpha-synuclein. Since solubility and net charge are minimized at the pI, either or both of these factors may be important in determining the kinetics of the nucleation step. On the other hand, the k(2) values increase with decreasing pH (i.e., do not appear to have a minimum or maximum near the pI) which, when combined with the k(1) vs. pH (and pI) data, suggest that solubility and charge are less important factors for growth, and that charge is important in the k(1), nucleation step of alpha-synuclein. The chemically well-defined nucleation (k(1)) rate constants obtained from the F-W analysis are, as expected, different than the 1/lag-time empirical constants previously obtained. However, k(2)x[A](0) (where k(2) is the rate constant for autocatalytic growth and [A](0) is the initial protein concentration) is related to the empirical constant, k(app) obtained previously. Overall, the average nucleation and average growth rate constants for alpha-synuclein aggregation as a function of pH and variable temperature have been quantitated. Those values support the previously suggested formation of a partially folded intermediate that promotes aggregation under high temperature or acidic conditions.

To the extent possible under law, all copyright and related or neighbouring rights to this encoded model have been dedicated to the public domain worldwide. Please refer to CC0 Public Domain Dedication for more information.

Publication ID: 19101068 Submission Date: 16 Jan 2015 15:32:39 UTC Last Modification Date: 08 Apr 2016 18:52:39 UTC Creation Date: 16 Jan 2015 16:18:55 UTC
Mathematical expressions
Nucleation Growth    
Assignment Rule (variable: B)      
Physical entities
Compartments Species
Brain B A  
Global parameters
k1 k2 A0  
Reactions (2)
 Nucleation [A] → [B];   {A}
 Growth [A] + [B] → 2.0 × [B];   {A} , {B}
Rules (1)
 Assignment Rule (name: B) B = A0-(k1/k2+A0)/(1+k1/(k2*A0)*exp((k1+k2*A0)*time))
 Brain Spatial dimensions: 3.0  Compartment size: 1.0
Compartment: Brain
Initial concentration: -4.44089209850063E-16
Compartment: Brain
Initial concentration: 1.0
Global Parameters (3)
Value: 8.0E-6
Value: 0.034
Value: 3.55
Representative curation result(s)
Representative curation result(s) of BIOMD0000000566

Curator's comment: (updated: 23 Jan 2015 16:26:04 GMT)

Figure 1 and Figure 3 of the reference publication have been reproduced here. α-synuclein aggregation from the literature is fitted over time by the Finke-Watze 2-step model.
- Figure 1 (left). α-synuclein aggregation at 37 °C
- Figure 3 (right). α-synuclein aggregation at pH 5,82

Note: rate constants k2 have been defined using Parameter Scan in order to match the simulation with the figures in the reference publication, as the existing ones in the publication do not fit as reported. Simulated values are 9.5e-7 on Figure 1 and 1.57e-6 on Figure 3.

The simulation was done using Copasi v4.14 (Build 89) and the plots were generated using Gnuplot. The Copasi file of the model with simulation settings can be downloaded from the below link:

Additional file(s)
  • Morris2009 - α-Synuclein aggregation variable temperature and pH:
    Copasi file of the model