Visualization is a descriptive way to ensure the audience attention and to make people better understand the content of a given topic. Nowadays, in the world of science and technology, visualization has become a necessity. However, it is a huge challenge to visualize varying amounts of data in a static or dynamic form. In this paper we describe the role, value and importance of visualization in maths and science. In particular, we are going to explain in details the benefits and shortages of visualization in three main domains: Mathematics, Programming and Big Data. Moreover, we will show the future challenges of visualization and our perspective how to better approach and face with the recent problems through technical solutions.
The following slides were presented today (Thu 30 June 2016) in front of lecturers/researchers of Dept. Magister Management and Business, Faculty of Economics and Business, Universitas Padjadjaran, Indonesia.
The aim of this thesis is to investigate the ability of cardiovascular
biomarkers calculated from peripheral pulse waveforms to estimate central properties of the cardiovascular system (e.g.
aortic stiffness) using
nonlinear one-dimensional (1-D) modelling of pulse wave propagation
in the arterial network. To test these biomarkers, I have produced
novel 1-D models of pulse wave propagation under normal and pathological conditions. In the first part of my thesis, I extended the modelling capabilities of the existing 1-D/0-D code to represent arterial
blood flow under diabetes, hypertension, and combined diabetes and
hypertension. Cardiac and vascular parameters of the 1-D model were
tailored to best match data available in the literature to produce generalised hypertensive, diabetic, and combined diabetic and hypertensive
population models. Using these models, I have shown that the pulse
waveform at the finger is strongly affected by the aortic flow wave and
the muscular artery stiffness and diameter. Furthermore the peak to
peak time measured from the pulse waveform at the finger can identify
hypertensive from diabetic patients.
In the second part, I developed a new methodology for optimising the
number of arterial segments in 1-D modelling required to simulate precisely the blood pressure and flow waveforms at an arbitrary arterial
location. This is achieved by systematically lumping peripheral 1-D
model branches into 0-D models that preserve the net resistance and
total compliance of the original model. The methodology is important
to simplify the computational domain while maintaining the precision
of the numerical predictions — an important step to translate 1-D modelling to the clinic.
This thesis provides novel computational tools of blood flow modelling
and waveform analysis for the design, development and testing of pulse
wave biomarkers. These tools may help bridge the gap between clinical
and computational approaches.
sally epstein
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