ReDiClus

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Receptor Diffusion & Cluster Model - ReDiClus Model


Diffusion and Cluster Model of LTP

Diffusion and Cluster Model of LTP



Model Space

The model is simulated in a 3D space with the following parameters
  • There is a 3D XYZ coordinate grid
  • The X-Y plane has 60x60 area
  • The X-Y plane consists of real numbers: -30 to +30
  • The Z axis is only 2 levels: 0 and -1
    • 0 represents the membrane surface
    • -1 represents intracellular space

Particle Types

There are 2 types of particles in the simulation
  • 'Red' particle dots represent AMPA receptors
    • Red dots can randomly diffuse anywhere on the X-Y plane
    • Red dots only diffuse on the surface Z = 0
  • 'Blue' particle dots represent PSD-95 molecules
    • Blue dots are contained in predefined PSD areas and cannot leave
    • Blue dots can exist at the surface Z = 0 or intracellularly Z = -1

two independent processes

In this model, there are two independently occurring processes.
  • 1. Blue dots can be expressed at the surface or internalized within their PSD area
    • The Blue dot internalization/externalization rate properties are set by the Shouval cluster model equations.
  • 2. Red dots diffuse on the X-Y plane with brownian motion
    • Each Red dot has an initial step size randomly drawn from a normal distribution with a mean = 1 and sd = .2


The step size for Red dots is dynamically altered when it's located in a PSD area
  • In a PSD, the step size is reduced by a by some factor based on the number of Blue dots currently expressed at the surface of that PSD
  • The more Blue dots at the surface, the more the step size is reduced
  • The current step size function is:
    • f(Rstep) = R * (10*(1 ⁄ Bn))
      • where Rstep is the baseline Red dot step size
      • where Bn is number of Blue dots currently expressed at the PSD surface
Several screen shots of the dynamic graphs in the model
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Quantitative Review

Quantitative Physiology of the Dendrite



The Size of Dendrites

adapted from Sheng and Hoogenraad (2007) FIG: {{#info
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  • Dendrite: 1–10 spines per μm
  • Spines: 0.5–2 μm in length
  • PSD: 100 - 300 nm diameter
  • PSD95: within 12 nm of surface
adapted from Harris FIG: {{#info
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  • proximal dendrite diameter: 1 - 3 µm
  • distal dendrite diameter: 0.2 - 2 µm
  • dendrite length: 2000 - 9000 µm
  • dendrite tip to soma: 100 - 200 µm
  • dendrites at soma: 1 - 5
  • dendrite branches (granual): 10 - 30
  • dendrite branches (purkinje): 400-500


Particle Counts and Diffusion

adapted from Sheng and Hoogenraad (2007) FIG: {{#info
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  • PSD: 10,000 proteins (or 100 copies of 100 proteins)
  • CaMKIIα: 7.4%
  • CaMKIIβ: 1.3%
  • SynGap: 2.1 pmol/20 μg
  • NMDAR: 20 proteins
  • AMPAR: 15 proteins
  • GluR: 60 subunits, 15 tetramers, 80% or 12 GluR1/GluR2 heteromers
  • PSD95: within 12 nm of surface


Images

From Sheng and Hoogenraad 2007
From Harris KM and Weinberg 2012
  • Spine morphology FIG: {{#info: 3D reconstruction of a proximal CA3 pyramidal cell dendrite (blue) and a large mossy fiber bouton (translucent yellow). The cut-away in C2 shows synapses (red) onto multiple dendritic spines, some of which are highly branched. The bouton also forms nonsynaptic cell adhesion junctions (fuchsia). CLICK AWAY FROM IMAGE TO CLOSE }}




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• Diffusion rate was measured as µm2/s
• Below are the linearized median diffusion rates
• Dendrite: 0.8 µm/s
• PSD: 0.4 - 0.1 µm/s
• PSDp: 0.1 - 0.01 µm/s

• from: Choquet et al (2010) CaMKII triggers the diffusional trapping of surface AMPARs through phosphorylation of stargazin. Neuron

Choquet 2007 Real Time Receptor Diffusion

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Choquet 2007 Real Time Receptor Diffusion Analysis

  • The video represents a 10µm × 10µm section scaled to a 535px × 535px video.
    • 1µm : 53.5px
  • The analysis below documents one instance of Qdot diffusion, between the 6s-7s time points.
  • This instance was chosen because of the clarity of motion and no Qdot flicker.
  • The Qdot (center) moves from pixel location (X:291, Y:302) at 6.78s to (X:319, Y346) at 6.98s
    • That is a distance of 52.2px in 200ms
    • Qdot velocity: Qv ≈ 1µm ⁄ 200ms
    • Note this diffusion rate of 5µm/s is 10-fold higher than the median diffusion rate reported above.
    • An upper bound of 5µm/s means that receptors can move between synapses in fractions of a second.

Figures:

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Receptor Diffusion Rate Best Estimates

  • GABAA: .01 - .05 µm2/s FIG: {{#info: Choquet 2010 CLICK AWAY FROM IMAGE TO CLOSE }}



Malinow Molecular Methods Quantum Dots Choquet AMPAR