Abstract
Patient-specific blood flow modelling helps to predict surgical operation results, gives new noninvasive diagnostic methods, allows to investigate physiology of vascular pathologies. We develop numerical models for such medical applications. 1D blood flow model describes hemodynamics in the whole vascular network. 3D model of fluid flow can be embedded in the 1D model to zoom the domain of interest or to take into account pathologies or implants. We personalize the model, using patient-specific vascular structure and parameters. For some vascular regions extraction of patient-specific geometry can be automatic within developed technology. We verified the 1D model of blood flow. Two examples of real medical applications are presented. The method for FFR estimation is proposed. Also we used the 1D model for prediction of surgical occlusion treatment.
Highlights
Practical medicine has a lot of challenges where mathematical modelling can help significantly
Prediction of surgical operation impact based on numerical simulations for every certain patient [1] can become real in near future
Many researches on blood vessel segmentation were presented and most of them are restricted to one region of interest
Summary
Practical medicine has a lot of challenges where mathematical modelling can help significantly. Many researches on blood vessel segmentation were presented and most of them are restricted to one region of interest (cerebral, coronary, abdominal aorta and leg vasculature). In this paper we discuss out 1D blood flow model (Section 2). The continuity of solution in vascular anastomoses is prescribed by the enforcing conservation of mass and total pressure continuity. This pair of boundary conditions does not include any additional model parameters and is appropriate for patient-specific modelling. For the numerical integration of the model equations (1)–(2), we use the grid-characteristic method [8]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
