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Cao and Abbott [21] introduced an algorithm for constructing the Green's function using the sum-over-trips method.
This "sum-over-trips" method is built on the path integral formulation and calculates the Green's function on an arbitrary dendritic geometry as a convergent infinite series solution.
2, we review the theoretical framework and the four-classes algorithm of Cao and Abbott [21], and introduce alternative algorithms for the sum-over-trips method in Sect.
For smaller times, a Laplace-domain series solution provides better accuracy, agreeing well with an earlier "sum-over-trips" method for constructing the Green's function directly in the time domain, proposed by Abbott et al. [20].
However, note that the sum-over-trips method for constructing the Green's function in the time domain only works for uniform characteristic time constant τ across the entirety of the dendritic tree.
Solutions (14)–(16) are obtained using the "sum-over-trips" method where G ˆ ( x, y, ω ) on each segment can be found as ∑ trips A trip G ˆ ∞ ( L trip, ω ), and G ˆ ∞ ( x, ω ) = e − γ | x | 2 D γ (19). is the Laplace transform of the Green's function G ∞ ( x, t ) for an infinite resonant cable.
Gravity surveys using a LaCoste & Romberg G-680 gravimeter (Lacoste & Romberg-Scintrex Inc., 222 Snidercroft Road Concord, L4K 2K1 Ontario, Canada) were performed on the benchmarks (45 points shown as bull's eyes in Figure 2) by the round-trip measurement method.
We demonstrate that the convergence of the trip sampling methods strongly depends on dendritic morphology as well as the biophysical properties of the cell membrane.
First, we propose a trip purpose inference method that takes into account the spatiotemporal attractiveness of POIs to divide human trips into different types.
A trip chain generation method is developed based on the Naive Bayes model to generate a large number of trips which are temporally and spatially coupled.
In Oct-May 2008/09 sampling for females occurred through two designated trips using the methods described above, although most of the data on reproduction was collected through a commercial tag return program [34].
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