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 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…
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…
(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…
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…
(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…
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…
