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Downhill folders in slow motion:: Lambda repressor variants probed by optical tweezers

Die Proteinfaltung ist ein Prozess der molekularen Selbstorganisation, bei dem sich eine lineare Kette von Aminosäuren zu einer definierten, funktionellen dreidimensionalen Struktur zusammensetzt. Der Prozess der Faltung ist ein thermisch getriebener diffusiver Prozess durch eine Gibbs-Energie-Landschaft im Konformationsraum für die Struktur der minimalen Energie. Während dieses Prozesses zeigt die freie Enthalpie des Systems nicht immer eine monotone Abnahme; stattdessen führt eine suboptimale Kompensation der Enthalpie- und der Entropieänderung während jedes Faltungsschrittes zur Bildung von Freien-Enthalpie-Faltungsbarrieren. Diese Barrieren und damit verbundenen hochenergetischen Übergangszustände, die wichtige Informationen über Mechanismen der Proteinfaltung enthalten, sind jedoch kinetisch unzugänglich. Um den Prozess der Barrierebildung und die strukturellen Merkmale von Übergangszuständen aufzudecken, werden Proteine genutzt, die über barrierefreie Pfade falten – so genannte “downhill folder“. Aufgrund der geringen Faltungsbarrieren werden wichtige Interaktionen der Faltung zugänglich und erlauben Einblicke in die ratenbegrenzenden Faltungsvorgänge.

In dieser Arbeit vergleichen wir die Faltungsdynamiken von drei verschiedenen Varianten eines Lambda-Repressor-Fragments, bestehend aus den Aminosäuren 6 bis 85: ein Zwei-Zustands-Falter λWT (Y22W) und zwei downhill-folder-artige Varianten, λYA (Y22W/Q33Y/ G46,48A) und λHA (Y22W/Q33H/G46,48A). Um auf die Kinetik und die strukturelle Dynamik zu greifen zu können, werden Einzelmolekülkraftspektroskopische Experimente mit optische Pinzetten mit Submillisekunden- und Nanometer-Auflösung verwendet. Ich fand, dass die niedrige denaturierende Kraft die Mikrosekunden Faltungskinetik von downhill foldern auf eine Millisekunden-Zeitskala verlangsamt, sodass das System für Einzelmolekülstudien gut zugänglich ist.

Interessanterweise zeigten sich unter Krafteinwirkung die downhill-folder-artigen Varianten des Lambda-Repressors als kooperative Zwei-Zustands-Falter mit deutlich unterschiedlicher Faltungskinetik und Kraftabhängigkeit. Drei Varianten des Proteins zeigten ein hoch konformes Verhalten unter Last. Die modellfreie Rekonstruktion von Freien-Enthalpie-Landschaften ermöglichte es uns, die feinen Details der Transformation des Zwei-Zustands-Faltungspfad direkt in einen downhill-artigen Pfad aufzulösen. Die Auswirkungen von einzelnen Mutationen auf die Proteinstabilität, Bildung der Übergangszustände und die konformationelle Heterogenität der Faltungs- und Entfaltungszustände konnten beobachtet werden.

Interessanterweise zeigen unsere Ergebnisse, dass sich die untersuchten Varianten trotz der ultraschnellen Faltungszeit im Bereich von 2 μs in einem kooperativen Prozess über verbleibende Energiebarrieren falten und entfalten, was darauf hindeutet, dass wesentlich schnellere Faltungsraten notwendig sind um ein downhill Limit vollständig zu erreichen.:I Theoretical background 1
1 Introduction 3

2 Protein folding: the downhill scenario 5
2.1 Protein folding as a diffusion on a multidimensional energy landscape 5
2.2 Downhill folding proteins 7
2.2.1 Thermodynamic description of downhill folders 7
2.2.2 Identification criteria for downhill folders 8
2.3 Lambda repressor as a model system for studying downhill folding 9
2.3.1 Wild-type lambda repressor fragment λ{6-85} 10
2.3.2 Acceleration of λ{6-85} folding by specifific point mutations 11
2.3.3 The incipient-downhill λYA and downhill λHA variants 14
2.4 Single-molecule techniques as a promising tool for probing downhill folding dynamics 17

3 Single-molecule protein folding with optical tweezers 19
3.1 Optical tweezers 19
3.1.1 Working principle of optical tweezers 19
3.1.2 The optical tweezers setup 21
3.2 The dumbbell assay 22
3.3 Measurement protocols 23
3.3.1 Constant-velocity experiments 23
3.3.2 Constant-trap-distance experiments (equilibrium experiments) 24

4 Theory and analysis of single-molecule trajectories 27
4.1 Polymer elasticity models 27
4.2 Equilibrium free energies of protein folding in optical tweezers 28
4.3 Signal-pair correlation analysis 29
4.4 Force dependence of transition rate constants 29
4.4.1 Zero-load extrapolation of rates: the Berkemeier-Schlierf model 30
4.4.2 Detailed balance for unfolding and refolding data 31
4.5 Direct measurement of the energy landscape via deconvolution 32

II Results 33
5 Efficient strategy for protein-DNA hybrid formation 35
5.1 Currently available strategies for protein-DNA hybrid formation 35
5.2 Novel assembly of protein-DNA hybrids based on copper-free click chemistry 37
5.3 Click-chemistry based assembly preserves the native protein structure 40
5.4 Summary 42

6 Non-equilibrium mechanical unfolding and refolding of lambda repressor variants 45
6.1 Non-equilibrium unfolding and refolding of lambda repressor λWT 45
6.2 Non-equilibrium unfolding and refolding of incipient-downhill λYA and downhill λHA variants of lambda repressor 48
6.3 Summary 52

7 Equilibrium unfolding and refolding of lambda repressor variants 53
7.1 Importance of the trap stiffness to resolve low-force nanometer transitions 54
7.2 Signal pair-correlation analysis to achieve millisecond transitions 56
7.3 Force-dependent equilibrium kinetics of λWT 59
7.4 Equilibrium folding of incipient-downhill λYA and downhill λHA variants of lambda repressor 61
7.5 Summary 65

8 Model-free energy landscape reconstruction for λWT, incipient-downhill λYA and downhill λHA variants 69
8.1 Direct observation of the effect of a single mutation on the conformational heterogeneity and protein stability 71
8.2 Artifacts of barrier-height determination during deconvolution 75
8.3 Summary 76

9 Conclusions and Outlook 79 / Protein folding is a process of molecular self-assembly in which a linear chain of amino acids assembles into a defined, functional three-dimensional structure. The process of folding is a thermally driven diffusive search on a free-energy landscape in the conformational space for the minimal-energy structure. During that process, the free energy of the system does not always show a monotonic decrease; instead, sub-optimal compensation of enthalpy and entropy change during each folding step leads to formation of folding free-energy barriers. However, these barriers, and associated high-energy transition states, that contain key information about mechanisms of protein folding, are kinetically inaccessible. To reveal the barrier-formation process and structural characteristics of transition states, proteins are employed that fold via barrierless paths – so-called downhill folders. Due to the low folding barriers, the key folding interactions become accessible, yielding insights about the rate-limiting folding events.

Here, I compared the folding dynamics of three different variants of a lambda repressor fragment, containing amino acids 6 to 85: a two-state folder λWT (Y22W) and two downhill-like folding variants, λYA (Y22W/Q33Y/G46,48A) and λHA (Y22W/Q33H/G46,48A). To access the kinetics and structural dynamics, single-molecule optical tweezers with submillisecond and nanometer resolution are used. I found that force perturbation slowed down the microsecond kinetics of downhill folders to a millisecond time-scale, making it accessible to single-molecule studies.

Interestingly, under load, the downhill-like variants of lambda repressor appeared as cooperative two-state folders with significantly different folding kinetics and force dependence. The three protein variants displayed a highly compliant behaviour under load. Model-free reconstruction of free-energy landscapes allowed us to directly resolve the fine details of the transformation of the two-state folding path into a downhill-like path. The effect of single mutations on protein stability, transition state formation and conformational heterogeneity of folding and unfolding states was observed.

Noteworthy, our results demonstrate, that despite the ultrafast folding time in a range of 2 µs, the studied variants fold and unfold in a cooperative process via residual barriers, suggesting that much faster folding rate constants are required to reach the full-downhill limit.:I Theoretical background 1
1 Introduction 3

2 Protein folding: the downhill scenario 5
2.1 Protein folding as a diffusion on a multidimensional energy landscape 5
2.2 Downhill folding proteins 7
2.2.1 Thermodynamic description of downhill folders 7
2.2.2 Identification criteria for downhill folders 8
2.3 Lambda repressor as a model system for studying downhill folding 9
2.3.1 Wild-type lambda repressor fragment λ{6-85} 10
2.3.2 Acceleration of λ{6-85} folding by specifific point mutations 11
2.3.3 The incipient-downhill λYA and downhill λHA variants 14
2.4 Single-molecule techniques as a promising tool for probing downhill folding dynamics 17

3 Single-molecule protein folding with optical tweezers 19
3.1 Optical tweezers 19
3.1.1 Working principle of optical tweezers 19
3.1.2 The optical tweezers setup 21
3.2 The dumbbell assay 22
3.3 Measurement protocols 23
3.3.1 Constant-velocity experiments 23
3.3.2 Constant-trap-distance experiments (equilibrium experiments) 24

4 Theory and analysis of single-molecule trajectories 27
4.1 Polymer elasticity models 27
4.2 Equilibrium free energies of protein folding in optical tweezers 28
4.3 Signal-pair correlation analysis 29
4.4 Force dependence of transition rate constants 29
4.4.1 Zero-load extrapolation of rates: the Berkemeier-Schlierf model 30
4.4.2 Detailed balance for unfolding and refolding data 31
4.5 Direct measurement of the energy landscape via deconvolution 32

II Results 33
5 Efficient strategy for protein-DNA hybrid formation 35
5.1 Currently available strategies for protein-DNA hybrid formation 35
5.2 Novel assembly of protein-DNA hybrids based on copper-free click chemistry 37
5.3 Click-chemistry based assembly preserves the native protein structure 40
5.4 Summary 42

6 Non-equilibrium mechanical unfolding and refolding of lambda repressor variants 45
6.1 Non-equilibrium unfolding and refolding of lambda repressor λWT 45
6.2 Non-equilibrium unfolding and refolding of incipient-downhill λYA and downhill λHA variants of lambda repressor 48
6.3 Summary 52

7 Equilibrium unfolding and refolding of lambda repressor variants 53
7.1 Importance of the trap stiffness to resolve low-force nanometer transitions 54
7.2 Signal pair-correlation analysis to achieve millisecond transitions 56
7.3 Force-dependent equilibrium kinetics of λWT 59
7.4 Equilibrium folding of incipient-downhill λYA and downhill λHA variants of lambda repressor 61
7.5 Summary 65

8 Model-free energy landscape reconstruction for λWT, incipient-downhill λYA and downhill λHA variants 69
8.1 Direct observation of the effect of a single mutation on the conformational heterogeneity and protein stability 71
8.2 Artifacts of barrier-height determination during deconvolution 75
8.3 Summary 76

9 Conclusions and Outlook 79

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:30569
Date26 September 2017
CreatorsMukhortava, Ann
ContributorsSchlierf, Michael, Grill, Stephan, Technische Universität Dresden
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typedoc-type:doctoralThesis, info:eu-repo/semantics/doctoralThesis, doc-type:Text
Rightsinfo:eu-repo/semantics/openAccess

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