is a one-to-one (bijective) mapping [4, 12, 19] (1)that maps particles from the reference configuration onto positions (2)in the current configuration at time t ∈ [0, T]. A fundamental measure of deformation is…
Fig. 1 The vademecum for engineers developed by Bernoulli [3] In the field of computational surgery it is frequent to ask for real-time responses. What we exactly mean by the…
Fig. 1 Respiratory mechanics: the role of the diaphragm and thorax in breathing The diaphragm moves down during the inhalation, creating negative pressure around the thoracic cavity and decreasing pressure on…
(1) where the superscript i = c, m denotes collagen fiber and smooth muscle, respectively, represents a scalar value that controls the sensitivity of the mass production of constituent i to a scalar…
(1) (2) (3)Additionally, we enforce incompressibility as most soft tissues are reported to be nearly incompressible: (4)Equation (1) represents the equations of equilibrium with Ω the region of interest and…
(1) where m is the number of terms in the basis p(x), and a i (x) are coefficients that depend on the spatial co-ordinates x. These coefficients are computed by…
which is roughly the size of a cell. The domain contains blood vessels which are the sources of oxygen and nutrients. In our previous work the 2D micro-vasculature was generated…
Fig. 1 Overview of the workflow to generate a computational vector field representation of fiber arrangements in 3D anatomical models using the Laplacian approach (1)To solve the differential Eq. (1),…
Fig. 1 (a) Illustration of the cornea, the IOP and applanation length; (b) the Corvis device from two different angles; (c) the cornea image it takes 2.2 Geometry Modelling The Corvis…
Fig. 1 Schematic view of our computer-assisted planning and navigation of PAO. (a) The input surface models; (b) computer-assisted PAO planning; (c) the pre-operative planning output; (d) intra-operative PAO navigation for…
