AC Gentechnologie Heidrun Karlic 1 und Clemens Heitzinger 2 , 3 1 - - PowerPoint PPT Presentation

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AC Gentechnologie Heidrun Karlic 1 und Clemens Heitzinger 2 , 3 1 - - PowerPoint PPT Presentation

AC Gentechnologie Heidrun Karlic 1 und Clemens Heitzinger 2 , 3 1 Ludwig Boltzmann Institute for Leukemia Research and Cluster Oncology, Hanusch-Krankenhaus 2 Fakultt fr Mathematik und Geoinformation, TU Wien 3 School of Mathematical and


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SLIDE 1

AC Gentechnologie

Heidrun Karlic1 und Clemens Heitzinger2,3

1Ludwig Boltzmann Institute for Leukemia Research and Cluster Oncology, Hanusch-Krankenhaus 2Fakultät für Mathematik und Geoinformation, TU Wien 3School of Mathematical and Statistical Sciences, Arizona State University KAV Danubia, 24 Oct 2017

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SLIDE 2

Nanopores as sensors

Nanopores can be used as molecular sensors using the principle of a Coulter counter. Applications include

◮ next-generation DNA sequencing

(Oxford Nanopore Technologies),

[Quick et al. Real-time, portable genome sequencing for Ebola surveillance. Nature, 530:228–232, 2016.]

◮ marker-free detection of single

molecules.

[Burns et al. A biomimetic DNA-based channel for the ligand-controlled transport of charged molecular cargo across a biological membrane. Nature Nanotechnology, 6:152–156, 2016.]

http: //www2.technologyreview.com/article/427677/ nanopore-sequencing/ 2 of 14

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SLIDE 3

Movie: nanopore sequencing

Movie

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Nanopore sensors

Applied potential Association/ dissociation Diffusion Outflow Receptor Reservoir Cargo molecule

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SLIDE 5

The basic continuum model: the drift-diffusion-Stokes-Poisson system

Drift-diffusion equations for ionic transport, (Navier-)Stokes equations for water transport, Poisson equation for electrostatic interactions. −∇ · (A∇V ) = q(c+ − c− + c+

m − c− m ),

∇ · J− = 0, ∇ · J+ = 0, J− = q(D−∇c− − µ−c−∇V − c−v), J+ = q(−D+∇c+ − µ+c+∇V + c+v), ∇P = η∆v − q(c+

m + c+ − c− m − c−)∇V ,

∇ · v = 0. We use 2D and 3D FE calculations to solve this system.

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SLIDE 6

The force on the target molecules

Force consists of electrostatic and drag contributions: F(x) = Fel(x) + Fdrag(x), Fel(x) =

  • M

Eρ, Fdrag(x) =

  • ∂M

n ·

  • −η
  • ∇u + ∇u⊤

+ pI

  • .

−4 −2 2 4 X coordinate [nm] −10 −8 −6 −4 −2 2 Z coordinate [nm]

Fel(x)

−14.0 −13.6 −13.2 −12.8 −12.4 −12.0 −11.6 −11.2 −10.8

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SLIDE 7

The force on the target molecules

Force consists of electrostatic and drag contributions: F(x) = Fel(x) + Fdrag(x), Fel(x) =

  • M

Eρ, Fdrag(x) =

  • ∂M

n ·

  • −η
  • ∇u + ∇u⊤

+ pI

  • .

−4 −2 2 4 X coordinate [nm] −10 −8 −6 −4 −2 2 Z coordinate [nm]

Fdrag(x)

−16.0 −15.5 −15.0 −14.5 −14.0 −13.5 −13.0 −12.5 −12.0

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SLIDE 8

DNA-origami nanopore: the force acting on the target molecules

Velocity of liquid Electrostatic and drag force

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SLIDE 9

Validation by comparison with experimental data

−100 −50 50 100

Voltage Bias [mV]

−150 −100 −50 50 100 150

Current [pA]

PNPS 0.0 mC/m2 PNPS −40.0 mC/m2 PNPS −80.0 mC/m2 ref.

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SLIDE 10

Movie: nanopore as single-molecule sensor

Movie

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SLIDE 11

Continuum formulation of exit-time problem

From the Langevin equation dx dt = √ 2Dξt + D kT F(x), the backward Fokker-Planck equation ∂tp = ∇ · (D∇p) + D kT F · ∇p can be derived. Here p(x, t) is the probability that particle has exited.

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SLIDE 12

Exit-time problem: continuum solution

Probability of successful exit: start point z nanometers above the pore and translocate pore within [0, t] without hitting boundary far away above pore.

50 100 150 z [nm] 0.0 0.2 0.4 0.6 0.8 1.0 p(x, t)

t = 0.00474890026424 [s]

Probability calculated here by solving the backward Fokker-Planck equation with Dirichlet boundary condition (1 means success, 0 means failure) and zero Neumann boundary conditions everywhere else.

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SLIDE 13

Ausblick

Technologischer Fortschritt in der Gentechnologie betrifft mehrere Schritte:

◮ Lesen (d.h. Sequenzieren):

seit Jahrzehnten möglich, wird noch billiger werden

◮ Verstehen (Zusammenhang Genotyp-Phänotyp):

daran wird gearbeitet, z.B. im GTEx-Projekt (genotype-tissue expression)

◮ Editieren:

seit kurzem möglich, z.B. CRISPR

◮ Schreiben (d.h. Gensynthese):

das nächste Ziel

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SLIDE 14

Ethische Fragen

◮ Für Fortschritte in der personalisierten Medizin ist es notwendig, große

(anonymisierte) Datenmenge (inkl. DNA-Sequenzen) zusammenzuführen und auszuwerten. Soll dafür die Zustimmung der Patienten notwendig sein? Wem gehören die Daten?

◮ Die Kosten mancher Therapien werden substantiell sein.

Wird man sich die Kosten leisten können? Wer wird bezahlen?

◮ Durch Schreiben synthetischer Gene wird man neue Organismen

erschaffen können. Soll das Editieren und Schreiben von Genen erlaubt sein? In welchen Fällen und für welche Organismen soll es erlaubt sein?

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SLIDE 15

Danke für Eure Aufmerksamkeit! Fragen?

Clemens.Heitzinger@gmail.com http:/ /Clemens.Heitzinger.name/ HeidrunKarlic@gmail.com http:/ /drkarlic.com

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