130
where [Λ∕g2+]0 is the concentration of magnesium outside the cell (Destexhe et al.,
1998). If the Γbs,nmda(0 term were not there, this would be a straightforward DEIM
reduction, treating B(,(υ) just like a gating variable. But this term is coupled to
t⅛,nmda(0> which so far cannot be reduced because it is a synaptic input that is local
to each compartment. Since we cannot reduce this term, we focus our attention on
extracting the Bb(υ) term.
After discretizing the morphology, applying the POD reduction to the NMDA
synaptic input term yields
Inmda (O = UrGrNMDArNMDA (t)B(Uv)(Uv — Enmda) ∙ (5.5)
The product r(t)B(Uv) is actually a pointwise multiplication, and this is what allows
us to extract B and reduce it. We first approximate B via the DEIM as
B(Uv) ≈ RgB(U(:, Zβ)v),
where Zβ are the interpolation points. We can then use pointwise multiplication to
write
Inmda(0 ≈ GnmdaCbB(u(:, z^)v)∙Utγnmda(^) (Uv — Enmda), (5.6)
where Cb = UτRβ.
With this derivation in place, reduced order models using receptor kinetics can
now be simulated. Perhaps the most pressing issue for further study is determining
More intriguing information
1. A dynamic approach to the tendency of industries to cluster2. The name is absent
3. The Challenge of Urban Regeneration in Deprived European Neighbourhoods - a Partnership Approach
4. The name is absent
5. The urban sprawl dynamics: does a neural network understand the spatial logic better than a cellular automata?
6. The name is absent
7. Does South Africa Have the Potential and Capacity to Grow at 7 Per Cent?: A Labour Market Perspective
8. Globalization, Divergence and Stagnation
9. FASTER TRAINING IN NONLINEAR ICA USING MISEP
10. Review of “The Hesitant Hand: Taming Self-Interest in the History of Economic Ideas”