[0001] This invention relates generally to a system and method for predicting physical properties
of an aneurysm from a three-dimensional model thereof
[0002] Cerebral aneurysms are pathological dilations of cerebral arteries that tend to occur
near arterial bifurcations in the circle of Willis, and are usually caused by a weakening
in the vessel wall. The most serious consequence, particularly if the patient has
elevated blood pressure, is their rupture leading to intracranial haemorrhage and,
possibly, death. The genesis, growth and rupture mechanisms are not currently well
understood.
[0003] Three dimensional rotational angiography (3DRA) is a relatively new technique for
imaging blood vessels in the human body. The reconstructed 3D high resolution images
created from rotational digital substraction angiography data allows for potentially
interesting quantitative studies. Digital substraction angiography (DSA) is the imaging
standard for depiction of intracranial aneurysms and determination of their size,
neck and relationship to the vascular tree. Three-dimensional rotational angiography
(3DRA) produces maximum intensity projection (MIP) and shaded surface display (SSD)
images giving three-dimensional visualisation of data created from the rotational
DSA. These high resolution images of the cerebral aneurysm can be viewed from any
desired angle and, theoretically at least, aneurysm volume can be estimated.
[0004] During (cerebral) vascular interventions, it is of prime importance to assess the
dimensions and properties of aneurysms in order to select the correct treatment for
the patient. Usually, however, the 3DRA reconstruction of the aneurysm only provides
information about the geometry of this pathology. In order to obtain additional information,
it is necessary to set up models for mechanical and material behaviour that describe
the aneurysm. In "Computer Simulation Helps Predict Cerebral Aneurysms", Hector V.
Ortega
(http://www.fluent.com/solutions/articles/ja071.pdf), it is reported that accurately simulating the flow of blood within the aneurysm helps
researchers to predict the growth pattern of the aneurysm and the danger of rupturing.
It is stated therein that the behaviour of any aneurysm depends on its geometry and
haemodynamics, and a computer simulation technique is proposed for studying aneurysms,
taking into account its own properties such as geometry, blood flow characteristics,
blood density, viscosity and velocity. However, this technique is concerned with simulation
of blood flow within a given aneurysm having a given geometry and using measured physiological
parameters.
[0005] WO 01/22362 discloses a system for analysing the properties of an aneurysm.
[0006] It is an object of the present invention to provide a system and method for predicting
physical properties, i.e. unknown physiological parameters, of an aneurysm wall so
as to provide a physician with additional, patient specific, information about the
pathology, to assist in treatment planning.
[0007] In accordance with the present invention, there is provided a system for analysing
properties of an aneurysm, the system being as defined in claim 1.
[0008] Also in accordance with the present invention, there is provided a method for analysing
properties of an aneurysm, the method being as defined in claim 8.
[0009] Thus, unknown physiological parameters of an aneurysm can be predicted by fitting
the simulated representation (in respect of which there is a set of estimated or predicted
physiological parameters) to the three-dimensional representation of the aneurysm
and then assigning the physiological parameters of the resultant simulated representation
to the aneurysm itself. These physiological parameters or material properties of an
aneurysm may comprise geometry constants, such as wall thickness, elasticity constants
of the elastin part of the blood vessel, such as Young's modulus or Poisson ratio,
anisotropic data, such as collagen fibre directions and corresponding stiffness (for
each layer of the blood vessel), and growth parameters, such as collagen thickening
and lengthening time constants, etc. It will be appreciated by a person skilled in
the art that the parameters are dependent on the specific type of material model chosen
for the aneurysm wall.
[0010] Beneficially, the imaging means comprises three-dimensional rotational angiography
(3DRA) means. In a preferred embodiment, the simulation means comprises a finite element
method (FEM) simulation package, which beneficially employs a non-linear constitutive
model describing the behaviour of an aneurysm wall. In a preferred embodiment, the
simulated representation is approximated to the three-dimensional representation by
iteratively comparing said simulated representation to said three-dimensional representation,
using a resultant difference measure to estimate new material properties, and then
repeating the simulation process to generate a new simulated representation.
[0011] The three-dimensional representation and the data indicative of one or more material
properties of the respective aneurysm may be displayed simultaneously. Means may be
provided to perform one or more geometrical measurements in respect of the three-dimensional
representation, which geometrical measurements may be incorporated in the simulation
process for generating a simulated representation.
[0012] These and other aspects of the present invention will be apparent from, and elucidated
with reference to, the embodiments described herein.
[0013] Embodiments of the present invention will now be described by way of examples only
and with reference to the accompanying drawings, in which:
Figure 1 illustrates an exemplary surface mesh of an aneurysm simulated by means of
an FEM technique;
Figures 2a and 2b are schematic diagrams illustrating a part of a blood vessel respectively
before and after the formation of an aneurysm at a weakened spot of the blood vessel
wall which has been subjected to a given blood pressure;
Figure 3 is a schematic illustration of a non-linear constitutive model of an aneurysm
wall;
Figures 4a, 4b and 4c illustrate schematically the steps involved in fitting a simulated
representation of an aneurysm to an observed representation of an aneurysm under consideration;
and
Figure 5 is a schematic flow diagram illustrating the principle steps of a method
according to an exemplary embodiment of the present invention.
[0014] The present invention is primarily concerned with the case where weakening of the
vessel wall is the central cause of aneurysm formation. The system of the present
invention is arranged and configured generally to derive physical models and performing
numerical simulations, aiming to predict both mechanical and geometrical quantities
involved in the formation of, for example, cerebral saccular aneurysms, which numerical
simulations are based on advanced elasticity theory.
[0015] In the first instance, it has been determined, by performing numerical simulations
of aneurysm formation using a finite element software package such as Marc/Mentat
2000, that a neck-like geometry of a saccular aneurysm can be explained by using a
distribution of mechanical properties, such that the geometry is elastically weak
at its centre, but substantially as stiff as the parent blood vessel near its boundary,
as can be seen from Figure 1 which depicts an example of an aneurysm simulated by
means of a Finite Element Method (FEM) illustrating the total maximum strain to which
the aneurysm wall is subjected at various locations. It can be seen that the maximum
strain occurs at the dome 10, it then decreases steadily around the fundus 12 and
is substantially as stiff at the neck 14 as the parent blood vessel 16. By applying
the above-mentioned distributions of mechanical properties to simulate the deformation
of a weakened curved circular area 18 of the blood vessel 16, it has been determined
that a typical aneurysm shape starts to develop.
[0016] It will be apparent to persons skilled in the art that an aneurysm wall exhibits
non-linear elastic behaviour, partly due to, for example, the fact that when strains
become too large, collagen activation occurs which changes the elastic properties
of the anurysm wall. As a result of this non-linear behaviour, mechanical instabilities
can occur during the development of an aneurysm, which mechanical instabilities may
be used to predict possible rupture. Therefore, in the simulation process, it is necessary
to use realistic, nonlinear constitutive models, such as the simplified model illustrated
in Figure 3 of the drawings, which incorporates collagen activation when strains become
too large. Figure 3 illustrates very simply how strain hardening (or softening) occurs
when displacements and strains in the vessel wall become (very) large, and it is just
an example of such behaviour. It shows that if the force in the left-hand spring becomes
larger than a certain value, the other spring comes into action with a different spring
constant, leading to stiffer or softer behaviour of the total structure. This, and
other non-linear constitutive models of the behaviour of an aneurysm wall will be
apparent to a person skilled in the art.
[0017] Thus, referring to Figures 2a and 2b of the drawings, simulations start from an initially
sound vessel wall, and can be used to simulate the growth of an aneurysm 20 when changing
the vessel wall properties of a weakened spot 18 of the blood vessel wall under the
influence of a given blood pressure P, such that for any given simulated aneurysm,
data relating to the estimated or predicted vessel wall properties thereof will be
associated therewith and, by changing these material properties within the simulation,
the shape of the simulated aneurysm can be changed accordingly.
[0018] Thus, the present invention is concerned with the investigation of the so-called
"inverse problem", and employs a combination of three-dimensional image data, such
as three-dimensional rotational angiography (3DRA) data, with the simulation results.
In general, the "inverse problem" involves fitting the simulated representation to
the three-dimensional representation thereof by changing the material properties in
the simulated representation to effect a required change. Referring to Figure 4a of
the drawing, therefore, the initial simulated representation 20a does not even closely
resemble the 3DRA representation 20b of an aneurysm under consideration, so the material
properties in the simulation are changed to give a simulated representation 20a which
more closely resembles the 3DRA representation 20b, as shown in Figure 4b. The material
properties can be changed as many times as is necessary such that the simulated representation
20a approximates the 3DRA representation 20b as closely as possible, as illustrated
in Figure 4c.
[0019] Because the distribution of the material properties shapes the simulated representation
in a geometry that should resemble the observed 3DRA geometry, as obtained by means
of a three-dimensional rotational angiography scan, as closely as possible, this distribution
of material properties can provide a patient-specific estimation of the material properties
of the aneurysm under consideration, as well as a more realistic estimation of the
clinically relevant mechanical and geometrical properties of the aneurysm under consideration.
[0020] Referring to Figure 5 of the drawings, a flow diagram illustrates the principle steps
of the "inverse problem" technique described above. Firstly, the angio sequence 200
is performed whereby a physician acquires a rotational angio-run at step 202 which
is then sent to a 3DRA station for reconstruction, at step 204 to provide an observed
aneurysm representation 206. Next, a simulated representation 208, including the associated
geometry, stress and strain data, is calculated using a finite element method (FEM)
simulation 210 running on the same workstation, and employing a non-linear constitutive
model 212, such as that illustrated in Figure 3 of the drawings.
[0021] The simulated representation 208 is compared with the observed representation 206
and the difference 214 is used to estimate new physical and material properties for
simulation and automatically update the material parameters accordingly at step 216.
This is repeated until the simulated representation is approximated closely enough
to the observed representation. The outcome of the process is a physical dataset 218
of the aneurysm which can be displayed at step 220 in addition to the geometrical
3DRA data, possibly next to the normal 3DRA views. Additional information may also
be provided which may support a physician in treatment planning. For example, an aneurysm
severity degree may be calculated and displayed (in a similar manner to that by which
a stenosis degree may be provided in respect of a coronary angiogram). Additional
IVUS measurements may be acquired from the 3DRA representation and incorporated into
the simulation package, for example, this may be done to include vessel and aneurysm
wall thickness information in the FEM simulations. IVUS stands for Intra Vascular
Ultra Sound, in which a sonic transducer is introduced into the vessel, by means of
which a more detailed structure of the vessel wall and internalk features thereof
can be obtained, for example, blood, thrombus, soft plaque and the different vessel
layers. This information is additional to the 3DRA image, which usually shows only
the lumen (in 3D).
[0022] Thus, the above-described embodiment of the present invention comprises an adaptation
of a 3DRA application, in which a finite element method (FEM) package is incorporated
which can read in surface meshes of a reconstructed 3DRA volume to generate FEM meshes
which are closely approximated to the observed aneurysms and can be used for subsequent
analysis of the physical properties of an aneurysm under consideration.
[0023] The present invention can be applied to X-ray systems equipped with a 3DRA workstation,
but is also applicable to imaging systems such as MR and CT.
[0024] It should be noted that the above-mentioned embodiments illustrate rather than limit
the invention, and that those skilled in the art will be capable of designing many
alternative embodiments without departing from the scope of the invention as defined
by the appended claims. In the claims, any reference signs placed in parentheses shall
not be construed as limiting the claims. The word "comprising" and "comprises", and
the like, does not exclude the presence of elements or steps other than those listed
in any claim or the specification as a whole. The singular reference of an element
does not exclude the plural reference of such elements and vice-versa. The invention
may be implemented by means of hardware comprising several distinct elements, and
by means of a suitably programmed computer. In a device claim enumerating several
means, several of these means may be embodied by one and the same item of hardware.
The mere fact that certain measures are recited in mutually different dependent claims
does not indicate that a combination of these measures cannot be used to advantage.
1. A system for analysing properties of an aneurysm (20), the system comprising:
- imaging means (202, 204) for generating a three-dimensional representation (206)
of said aneurysm (20);
- simulation means (210) for generating a simulated aneurysm shape (208) and approximating
said simulated aneurysm shape to said three-dimensional representation of said aneurysm
so as to generate a simulated representation of said aneurysm, said simulated representation
having associated therewith data defining a distribution of one or more material properties
in respect thereof; and
- means (220) for outputting data indicative of one or more material properties of
said aneurysm (20) derived from said simulated representation thereof.
2. A system according to claim 1, wherein said imaging means (202, 204) comprises three-dimensional
rotational angiography (3DRA) means.
3. A system according to claim 1, wherein said simulation means (210) comprises a finite
element method (FEM) simulation package.
4. A system according to claim 3 wherein said simulation package employs a non-linear
constitutive model (212) describing the behaviour of an aneurysm wall.
5. A system according to claim 1, wherein the simulated representation is approximated
to the three-dimensional representation by iteratively comparing said simulated representation
to said three-dimensional representation, using a resultant difference measure to
estimate new material properties, and then repeating the simulation process to generate
a new simulated representation.
6. A system according to claim 1, wherein the three-dimensional representation and the
data indicative of one or more material properties of the respective aneurysm (20)
are displayed simultaneously.
7. A system according to claim 1, comprising means for performing one or more geometrical
measurements in respect of the three-dimensional representation, which geometrical
measurements can be incorporated in the simulation process for generating a simulated
representation.
8. A method for analysing properties of an aneurysm (20), the method comprising:
- generating (202, 204) a three-dimensional representation (206) of said aneurysm
(20);
- generating (210) a simulated aneurysm shape (208) and approximating (214, 216) said
simulated aneurysm shape to said three-dimensional representation (206) of said aneurysm
so as to generate a simulated representation of said aneurysm (20), said simulated
representation having associated therewith data (218) defining a distribution of one
or more material properties in respect thereof; and
- outputting (220) data indicative of one or more material properties of said aneurysm
(20) derived from said simulated representation thereof.
1. System zur Analyse von Eigenschaften eines Aneurysmas (20), wobei das System Folgendes
umfasst:
- Bildgebungsmittel (202, 204) zum Erzeugen einer dreidimensionalen Darstellung (206)
des genannten Aneurysmas (20);
- Simulationsmittel (210) zum Erzeugen einer simulierten Aneurysma-Form (208) und
Approximieren der genannten simulierten Aneurysma-Form an die genannte dreidimensionale
Darstellung des genannten Aneurysmas, um eine simulierte Darstellung des genannten
Aneurysmas zu erzeugen, wobei zu der genannten simulierten Darstellung Daten gehören,
die eine Verteilung von einer oder mehreren Materialeigenschaften in Bezug darauf
definieren, und
- Mittel (220) zum Ausgeben von Daten, die auf eine oder mehrere Materialeigenschaften
des genannten Aneurysmas (20) hinweisen und von der genannten simulierten Darstellung
hiervon abgeleitet sind.
2. System nach Anspruch 1, wobei das genannte Bildgebungsmittel (202, 204) Mittel zur
dreidimensionalen Rotationsangiographie (3DRA) umfasst.
3. System nach Anspruch 1, wobei das genannte Simulationsmittel (210) ein Finite-Elemente-Verfahren-Simulationspaket
(Finite Element Method, FEM) umfasst.
4. System nach Anspruch 3, wobei das genannte Simulationspaket ein nichtlineares konstitutives
Modell (212) umfasst, das das Verhalten einer Aneurysma-Wand beschreibt.
5. System nach Anspruch 1, wobei die simulierte Darstellung an die dreidimensionale Darstellung
angenähert wird, indem die genannte simulierte Darstellung iterativ mit der genannten
dreidimensionalen Darstellung verglichen wird, wobei ein resultierendes Differenzmaß
verwendet wird, um neue Materialeigenschaften einzuschätzen, und dann der Simulationsvorgang
wiederholt wird, um eine neue simulierte Darstellung zu erzeugen.
6. System nach Anspruch 1, wobei die dreidimensionale Darstellung und die auf eine oder
mehrere Materialeigenschaften des betreffenden Aneurysmas (20) hinweisenden Daten
gleichzeitig angezeigt werden.
7. System nach Anspruch 1, mit Mitteln zum Durchführen einer oder mehrerer geometrischer
Messungen in Bezug auf die dreidimensionale Darstellung, wobei die geometrischen Messungen
in den Simulationsvorgang zur Erzeugung einer simulierten Darstellung einbezogen werden
können.
8. Verfahren zum Analysieren der Eigenschaften eines Aneurysmas (20), wobei das Verfahren
Folgendes umfasst:
- Erzeugen (202, 204) einer dreidimensionalen Darstellung (206) des genannten Aneurysmas
(20);
- Erzeugen (210) einer simulierten Aneurysma-Form (208) und Approximieren (214, 216)
der genannten simulierten Aneurysma-Form an die genannte dreidimensionale Darstellung
(206) des genannten Aneurysmas, um eine simulierte Darstellung des genannten Aneurysmas
(20) zu erzeugen, wobei zu der genannten simulierten Darstellung Daten (218) gehören,
die eine Verteilung von einer oder mehreren Materialeigenschaften in Bezug darauf
definieren, und
- Ausgeben (220) von Daten, die auf eine oder mehrere Materialeigenschaften des genannten
Aneurysmas (20) hinweisen und von der genannten simulierten Darstellung hiervon abgeleitet
sind.
1. Système d'analyse des propriétés d'un anévrisme (20), le système comprenant:
- des moyens d'imagerie (202, 204) pour générer une représentation tridimensionnelle
(206) dudit anévrisme (20);
- des moyens de simulation (210) pour générer une forme simulée d'anévrisme (208)
et pour rapprocher ladite forme simulée d'anévrisme de ladite représentation tridimensionnelle
dudit anévrisme de manière à générer une représentation simulée dudit anévrisme, ladite
représentation simulée ayant associé en conséquence des données qui définissent une
distribution d'une ou de plusieurs propriétés matérielles en ce qui concerne celui-ci,
et
- des moyens (220) pour produire des données étant indicatives d'une ou de plusieurs
propriétés matérielles dudit anévrisme (20) qui sont dérivées de ladite représentation
simulée de celui-ci.
2. Système selon la revendication 1, dans lequel lesdits moyens d'imagerie (202, 204)
comprennent des moyens d'angiographie de rotation tridimensionnelle (3DRA).
3. Système selon la revendication 1, dans lequel lesdits moyens de simulation (210) comprennent
un paquet de simulation de la méthode des éléments finis (FEM).
4. Système selon la revendication 3, dans lequel ledit paquet de simulation utilise un
modèle constitutif non linéaire (212) qui décrit le comportement d'une paroi d'anévrisme.
5. Système selon la revendication 1, dans lequel la représentation simulée est rapprochée
de la représentation tridimensionnelle lorsqu'on compare itérativement ladite représentation
simulée à ladite représentation tridimensionnelle en utilisant une mesure de différence
qui en résulte pour évaluer de nouvelles propriétés matérielles et en répétant alors
le processus de simulation de manière à générer une nouvelle représentation simulée.
6. Système selon la revendication 1, dans lequel la représentation tridimensionnelle
et les données qui sont indicatives d'une ou de plusieurs propriétés matérielles de
l'anévrisme respectif (20) sont affichées simultanément.
7. Système selon la revendication 1, comprenant des moyens pour exécuter une ou plusieurs
mesures géométriques en ce qui concerne la représentation tridimensionnelle, lesquelles
mesures géométriques peuvent être incorporées dans le processus de simulation pour
générer une représentation simulée.
8. Procédé d'analyse des propriétés d'un anévrisme (20), le procédé comprenant les étapes
consistant à:
- générer (202, 204) une représentation tridimensionnelle (206) dudit anévrisme (20);
- générer (210) une forme simulée d'anévrisme (208) et à rapprocher (214, 216) ladite
forme simulée d'anévrisme de ladite représentation tridimensionnelle (206) dudit anévrisme
de manière à générer une représentation simulée dudit anévrisme (20), ladite représentation
simulée ayant associé en conséquence des données (218) qui définissent une distribution
d'une ou de plusieurs propriétés matérielles en ce qui concerne celui-ci, et
- produire (220) des données étant indicatives d'une ou de plusieurs propriétés matérielles
dudit anévrisme (20) qui sont dérivées de ladite représentation simulée de celui-ci.