The electrophysiology of excitable tissues: modelling and numerical simulations

Speaker:  Dr. Luca Gerardo-Giorda - BCAM-Basque Center for Applied Mathematics, Bilbao, Spain
  Monday, October 23, 2017 at 2:30 PM - Laboratory Gamma

The electrophysiology of excitable tissues:
modeling and numerical simulations

Dr. Luca Gerardo-Giorda
Basque Center for Applied Mathematics, Bilbao, Spain

Dates: October 23rd - November 3rd, 2017

Timetable:
Mon, 23/10:     14.30-15.30 Lab. Gamma
Tue, 24/10:      13.30-15.30 Aula L
Wed, 25/10:    14.30-15.30 Aula G,  17.30-18.30 Lab Gamma
Thu, 26/10:     11.30-13.30 Lab. Gamma
Fri, 27/10:       10.30-13.30 Lab. Gamma
Mon, 30/10:    14.30-16.30 Lab. Gamma
Tue, 31/10:     13.30-15.30 aula L
Thu, 02/11:     11.30-13.30 Lab. Gamma
Fri, 03/11:       10.30-13.30 Lab. Gamma

Abstract:
In the recent decades, the possibility to simulate complex problems in Biomedical sciences popularised the use of computational models in advanced clinical practice. Such models, known as in silico, are today a regular support for the investigative activity of medical doctors and life scientists, alongside the in vivo and in vitro experiments. Medical doctors can benet from eective and reliable non-invasive, patient-specic, instruments to improve diagnosis and prognosis. In return, mathematical and numerical models can provide rigorous tools for quantitative analyses with a diagnostic and prognostic content, and patient specic simulations are made possible by integrating such models with data and medical images. Still, biomedical problems are extremely complex and challenging from the modeling viewpoint. Typically they are characterised by remarkable heterogeneities and multi-scale dynamics, both in space and time: a reliable predictive mathematical model should be able to soundly cope with these aspects. A characterizing property of excitable cells is the ability to initiate an action potential (AP), a term used to indicate a sudden variation in the transmembrane potential, called spike, followed by a recovering of the resting condition after a refractory period, during which the cell cannot be excited. Action potentials feature dierent shapes and amplitudes characteristic of the dierent kind of excitable media to which the cells belong to: in the large muscle cells make it possible the simultaneous contraction of the whole cell. Action potentials propagate along preferential conduction pathways in the form of electrochemical waves that, in physiological conditions, keep the same shape and amplitude all along the entire neural, muscular or cardiac ber. This course aims at providing an introduction to the mathematical modeling of excitable tissues, with a focus on cardiac myocytes and neurons. Both the microscopic description of the electrophysiological activity at the cellular level and the description of its propagation at the macroscopic size of the tissue will be addressed. The course will cover the introduction to the equations and initial/boundary value problems relevant to the modeling, and the methodology for their numerical simulation. The challenges associated with the development of patient-specic modeling will also be discussed.

Documents
Title Format  (Language, Size, Publication date)
Course Abstract  pdfpdf (it, 248 KB, 09/10/17)

Contact person
Giandomenico Orlandi

Publication date
October 9, 2017

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