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A lumped parameter cardiovascular model is a zero-dimensional mathematical model used to describe the hemodynamics of the cardiovascular system. Given a set of parameters that have a physical meaning (e.g. resistances to blood flow), it allows to study the changes in blood pressures or flow rates throughout the cardiovascular system.
With his students and colleagues, Peskin also has worked on mathematical models of such systems as the inner ear, arterial pulse, blood clotting, congenital heart disease, light adaptation in the retina, control of ovulation number, control of plasmid replication, molecular dynamics, and molecular motors. [1]
Modelling biological systems is a significant task of systems biology and mathematical biology. [a] Computational systems biology [b] [1] aims to develop and use efficient algorithms, data structures, visualization and communication tools with the goal of computer modelling of biological systems.
The bidomain model is a mathematical model to define the electrical activity of the heart.It consists in a continuum (volume-average) approach in which the cardiac microstructure is defined in terms of muscle fibers grouped in sheets, creating a complex three-dimensional structure with anisotropical properties.
The fully coupled heart-torso models, instead, are more complex and need more sophisticated numerical models. For example, the fully heart-torso model that uses the bidomain model for the electrical simulation of the cardiac behaviour can be solved considering domain decomposition techniques, such as a Dirichlet-Neumann domain decomposition. [2 ...
Upon reading a news article about using math to study heart disease, it lead him to the University of Michigan as it was known for mathematical biology. [5] He received his Ph.D. in applied and interdisciplinary mathematics in 2013. He received the Sumner Byron Myers Prize for this thesis on cellular clocks.
Currently the society includes investigators in muscle and vascular biology, subcellular and sarcomere dynamics, the microcirculation, cardiovascular biology, clinical disease, and modeling. The primary theme remains cardiovascular function, its physiologic and molecular mechanisms, with an aim to understand how these features integrate to ...
The earliest account of mathematical modelling of spread of disease was carried out in 1760 by Daniel Bernoulli. Trained as a physician, Bernoulli created a mathematical model to defend the practice of inoculating against smallpox. [2]