...Michael S. Sacks This study was undertaken to develop a mathematical model of the long-term in vivo remodeling processes in postimplanted pulmonary artery (PA) conduits. Experimental results from two extant ovine in vivo studies, wherein polyglycolic-acid (PGA)/poly-L-lactic acid tubular conduits...

... after 20 years of growth, provided the Aβ monomer degradation machinery is malfunctioning. A mathematical model incorporates nucleation and autocatalytic growth processes using the Finke–Watzky model. The resulting system of ordinary differential equations was solved numerically, and for the simplified...

... CBET-2042834 National Institute of Mental Health 10.13039/100000025 F30 MH122076-01 neuron axon mathematical modeling slow and fast axonal transport molecular motors α-synuclein 03 07 2022 06 02 2023 28 03 2023 e-mail:  avkuznet@ncsu.edu References...

...—A Mathematical Modelling Study ,” Proc. R. Soc. A , 474 , p. 20170777 . 10.1098/rspa.2017.0777 [23] Kuznetsov , I. A. , and Kuznetsov , A. V. , 2018 , “ Simulating the Effect of Formation of Amyloid Plaques on Aggregation of Tau Protein ,” Proc. R. Soc. A (submitted). [24] Kuznetsov...

... 2008 26 05 2009 16 07 2009 biological tissues biomedical MRI biotransport brain drug delivery systems neurophysiology convection-enhanced delivery (CED) diffusion tensor imaging (DTI) drug delivery computational fluid dynamics (CFD) mathematical modeling permeability...

... was connected to a mock circulation loop. The model was then placed under angiography. Recorded angiograms were analyzed so that a contrast concentration-time curve based on the average grayscale intensity inside the aneurysm could be determined. That curve was then fitted to a mathematical model...

... physiological models biomechanics finite element analysis diseases eye blood vessels stress-strain relations neurophysiology lamina cribrosa mathematical modeling glaucoma plate analysis membrane analysis Glaucoma is a major cause of irreversible blindness in Europe and North...

... to data collected using alternative testing regimes. Additionally, they typically describe mechanical behaviors at specific points of a test—such as immediately following a step displacement (initial modulus) or long after transient changes have diminished (relaxed modulus). Mathematical models...

... trunk, hand, leg and foot segments most, leading to an underprediction of inertia. To accurately represent the mass distribution properties of human body segments in a mathematical model, two options are therefore possible. The first is to select a geometric solid that accurately represents the shape...

... geriatrics biomechanics bone muscle fracture physiological models impact strength Falls Hip Fracture Strength Mathematical Modeling Biomechanics Among elderly individuals living in the United States, falls are the number one cause of nonfatal injury, and number two cause of injury...