The aim of the Course is to bring together people with different
scientific backgrounds to learn and discuss an advanced subject in
Mathematical Physics. The Course consists of 12 lectures of
approximately 1 hour each; the style of the meetings is very informal.
Topics
Basic cardiac physiology
Cardiac medical data images and assimilation in a simulation code
Propagation of the electric signal in the myocardium
Activation of the contraction of the cardiac muscle
Propagation of the electric signal in the myocardium:
excitable cells, nonlinear dependence on currents on voltage,
Hodgkin-Huxley and FitzHugh-Nagumo.
Spatial dynamics: diffusion, travelling fronts, travelling pulses.
Lunch
Tuesday 3pm-6pm (with floating
break): Teresi
Mechanical models of muscles:
Hill's three elements model; active contractions; sliding model.
Basics non-linear elasticity.
Social dinner
Wednesday 9am-12pm (with floating
break): Ambrosi
9am-12pm (with floating break) DA
Fluid-wall interaction: material and spatial representation of balance equations.
Transformation of elementary surfaces, Cauchy and Piola stress.
Navier-Stokes and Finite Elasticity in different coordinates. Interface conditions.
Stretch activated currents.
References:
J. Keener and J. Sneyd, Mathematical Physiology, Springer, second edition (1998).
I-Shih Liu, Continuum Mechanics, Springer (2002).
Katz M. Arnolf, Physiology of the Heart, Lippincott Williams & Wilkins (2006).
to get to the department:
from the railway station, bus line n. 1 (direction "Mompiano")
or n. 2 (direction "Pendolina") right in front of the station
(tickets available at the neighbouring tobacconist's); get off at
"Belfiore", then walk following the plan below (approximately 1
min.)
to get to Centro Paolo VI:
from the railway station, bus line n. 1 (direction "Mompiano")
or n. 2 (direction "Pendolina") right in front of the station
(tickets available at the neighbouring tobacconist's); get off at
"San Martino" and walk following the plan below (approximately 10
min.)
break): Teresi 