Self-Assembly Dynamics of Linear Virus-like Particles: Theory and - - PowerPoint PPT Presentation

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Self-Assembly Dynamics of Linear Virus-like Particles: Theory and - - PowerPoint PPT Presentation

Self-Assembly Dynamics of Linear Virus-like Particles: Theory and Experiment TMV Model 200 nm VLP Paul van der Schoot www.virology.wisc.edu/virusworld Collaborators Experiments Theory Armando Renko Daniela Melle Willem


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SLIDE 1

Self-Assembly Dynamics of Linear Virus-like Particles: Theory and Experiment Paul van der Schoot

200 nm

Model TMV VLP

www.virology.wisc.edu/virusworld

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SLIDE 2

Collaborators

Armando Hernandez-Garcia Renko de Vries Daniela Kraft Melle Punter Willem Kegel

Experiments Theory

Funding:

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SLIDE 3

Simple viruses

deskeng.com/articles/aaahnd.htm www.vcbio.science.ru.nl/en/fesem/tem/

CCMV

www.apsnet.org/edcenter/intropp/lessons/viruses/pages/tobaccomosaic.aspx

TMV

www.sweetpics.site/t/tobacco-mosaic-virus-model.html

coat protein (180 copies) ss RNA (3000 nts) 100 nm ss RNA (6400 nts) coat protein (2100 copies)

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SLIDE 4

[G]/[dTq]= 40

Random templated assembly?

Janssen et al. JACS 131 (2009), 1222.

stacking  - 5 kBT

theory

binding  - 10 kBT

Jabbari et al. Macromol. 43 (2010), 5833.

self-assembly templated assembly theory

T = 263 K [dTq] = 0.25 mM competition! enthalpy  - 20 kBT

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SLIDE 5

Directional self-assembly of TMV

Koch et al. Beilstein J. Nanotechnol. 7 (2016), 613. Lebeurier et al. PNAS 74 (1977), 149. Chandrika et al. Virol 273 (2000) 198

OAS = packaging signal

6400 nt 5’ 3’

cap

W

PMV, CYMV, PRSV, TRV…

18 kDa coat protein 34 cp bilayer disk lockwasher “threading”

OAS

growing helical virus

http://www.rsc.org/ej/CS/2001

allosteric binding

Caspar Biophys J 32 (1980) 103

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SLIDE 6

Engineering directional assembly

random templated assembly directional templated assembly

binding → templated assembly interaction → co-operativity → self-assembly switching → suppresses self-assembly allostery → co-operativity

rate equations

] ) ( exp[ ) ( ) (

1 , n

h g n k n k       

 

g < 0 𝜁 < 0 𝜁 < 0 ℎ > 0  

*

/ exp

P P P

g S        

P T 

  / 

 

     h exp

statistical mechanics

mass action → stoichiometry → co-operativity →

) (n P

equilibrium distribution

) , ( t n P

non-equilibrium distribution

Punter et al. J Phys Chem B 120 (2016), 6286.

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SLIDE 7

The advantages of zipping…

P T 

  / 

stoichiometry

𝑇 = 𝜚𝑄/𝜚𝑄

∗ mass action

1.00 1.02 1.05 0.98

co-operativity 

Kraft et al. Biophys J 102 (2012), 2845. Punter et al. J Phys Chem B 120 (2016), 6286.

sharp transition intermediates are suppressed longer template q increases co-operativity binding affinity

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SLIDE 8

Zipper dynamics

Punter et al. J Phys Chem B 120 (2016), 6286.

undershoot!

  • vershoot!
  • vershoot!

q = 51 𝜏 = 0.007 𝑇 = 𝑓2 excess template excess protein

𝜐 ≡ 𝑙+𝜚𝑄 t

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SLIDE 9

silk-like block Sn: (GAGAGAGQ)n basic block B: K12 collagen-like block C: hydrophilic random coil (400 amino acids)

Our model triblock coat protein C-Sn-B

shielding protein interaction template binding

TMV coat protein

shielding protein interaction template binding

Garcia-Hernandez et al. Nature Nano 9 (2014), 698.

200 nm

2.5 kbp dsDNA

𝑜 ≥ 10

2.5 kbp dsDNA

300 nm

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SLIDE 10

Comparison with experiments

C-S10-B 500 nm 200 nm λ = 0.101 λ = 0.134 C-S14-B C-S10-B C-S14-B ϵ + g (kBT) −17 −17 h − ϵ (kBT) 6 3 k+ (min−1) 4 × 109 4 × 109

Punter et al. J Phys Chem B 120 (2016), 6286.

q = 417

2.5 kDa DNA cDNA = 0.65 nM

theory:

TMV −17 7 3 × 108

Kraft et al. Biophys J 102 (2012), 2845.

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SLIDE 11

Things get yet more complicated…

Joris Sprakel

Cigil et al. J. Am. Chem. Soc. 139 (2017), 4962

polyfluorene: optomechanical proxy genome

T = 0.06 mM T = 0.6 mM

𝑔

+ ≡

1 1 + 𝜇 Langmuir nucleation

  • parasitic self-assembly
  • co-assembly templates

zipping C-S10-B:

50

Garcia-Hernandez et al. Nature Nano 9 (2014), 698.

fraction taut excess protein!

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SLIDE 12

Cigil et al. J. Am. Chem. Soc. 139 (2017), 4962

Things get yet more complicated…

polyfluorene: optomechanical proxy genome C-S10-B: Joris Sprakel 𝑔

+ = 0.1

𝑔

+ = 0.3

𝑔

+ = 0.5

𝑔

+ = 0.7

fraction taut FRET efficiency co-assembly self-assembly excess protein!

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SLIDE 13

micelle coat protein

Langmuir template OAS Zipper

Langmuir, Zipper & Micelle dynamics…

Sander Kuipers

12 * , 

 e

Z P

11 * , 

 e

L P

9 * , 

 e

M P

critical concentrations

2 .  

2 * ,

/ e

Z P P

  

mass action

50 

T

q 5 

M

q

aggregate sizes

 

co-operativity excess protein!

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SLIDE 14

Kuipers, bachelor thesis (Utrecht U, 2017)

Langmuir, Zipper & Micelle dynamics…

Sander Kuipers Langmuir zipper dimensionless time fraction packaged templates sites

9

/

  

 e k k

Z M

1 / 

  Z L k

k

7 

e

5 

e

3 

e

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SLIDE 15

Conclusions

  • Protein polymers can be designed to mimic coat proteins of

linear viruses

  • Our model triblock protein co-polymer successfully

encapsulates DNA

  • Allostery and directional assembly seem crucial ingredients
  • The kinetic zipper model describes the time evolution of the

encapsulation of DNA

  • We predict over- & undershooting under conditions of

excess DNA

  • Overshooting under conditions of excess of protein may
  • ccur in competition with micellisation