A review is presented of the physical principles governing the distribution of blood flow and
blood pressure in the vascular system. The main factors involved are the pulsatile driving …

Uncertainty quantification serves a central role for simulation-based analysis of physical,
engineering, and biological applications using mechanistic models. From a broad …

Time-varying elastance models can simulate only the pressure and volume signals in the
heart chambers while the diagnosis of clinical cases and evaluation of different treatment …

For more than 60 years, humans have travelled into space. Until now, the majority of
astronauts have been professional, government agency astronauts selected, in part, for their …

In several crucial applications, domain knowledge is encoded by a system of ordinary
differential equations (ODE), often stemming from underlying physical and biological …

The use of physiological models in medicine allows the evaluation of new hypotheses,
development of diagnosis and clinical treatment applications, and development of training …

We examine the local convergence of the Levenberg–Marquardt method for the solution of
nonlinear least squares problems that are rank-deficient and have nonzero residual. We …

Patient-specific models for diagnostics and treatment planning require reliable parameter
estimation and model predictions. Mathematical models of physiological systems are often …

The eventual goal of this study is to develop methods for estimating dynamic stresses in the
left ventricle (LV) that could be used on-line in clinical settings, based on routinely available …

Mathematical models of human cardiovascular and respiratory systems provide a viable
alternative to generate synthetic data to train artificial intelligence (AI) clinical decision …