2003
DOI: 10.1016/s0169-2607(01)00200-0
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Fast algorithm for 3-D vascular tree modeling

Abstract: In this short paper, accelerated three-dimensional computer simulations of vascular trees development, preserving physiological and haemodynamic features, are reported. The new computation schemes deal: (i) with the geometrical optimization of each newly created bifurcation; and (ii) with the recalculation of blood pressures and radii of vessels in the whole tree. A significant decrease of the computation time is obtained by replacing the global optimization by the fast updating algorithm allowing more complex… Show more

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Cited by 31 publications
(22 citation statements)
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“…During this last decade, several teams developed sophisticated computer models simulating the physiologic growing of the arterial tree (18,19), taking into account fluid turbulence and viscosity and optimizing blood pressure and vessels radii. However, only simulations of the arterial tree feeding up to 10,000 lobule clusters were reported.…”
Section: Posttherapy 90 Y Tof Petmentioning
confidence: 99%
“…During this last decade, several teams developed sophisticated computer models simulating the physiologic growing of the arterial tree (18,19), taking into account fluid turbulence and viscosity and optimizing blood pressure and vessels radii. However, only simulations of the arterial tree feeding up to 10,000 lobule clusters were reported.…”
Section: Posttherapy 90 Y Tof Petmentioning
confidence: 99%
“…The next step consists in re-computing the characteristics of the whole tree (blood ow, pressure and radii). A fast algorithm has been deÿned to optimize this procedure, that allows to considerably reduce the computation time [20].…”
Section: Vesselsmentioning
confidence: 99%
“…There are two main methods for simulating vascular structures: (i) Lindenmayer systems: a set of production rules (grammar) used to iteratively generate complex shapes, often used to describe the growth of plants [18]; and (ii) iterative growth into a perfusion volume: growing a vascular structure by iteratively connecting new terminal nodes chosen from some volume [19,20,21,22]. We follow the latter approach because it allows greater control over the volume of the vasculature and is amenable to conforming to physical hemodynamics laws and blood vessel formation constraints, as we will see later.…”
Section: Introductionmentioning
confidence: 99%