Biomathematics Euro Summer School

Dynamical Systems in Physiology and Medicine

Urbino (Italy) July 8-19, 2002

Second Announcement

The European Society for Mathematical and Theoretical Biology (ESMTB)
is happy to announce the 2002 Biomathematics Euro Summer School, to be
held in Urbino (Italy) July 8-19, 2002.


Dynamical systems constitute a fundamental mathematical and
computational framework within which many processes in biomedicine can
be described. From tumor growth to hormonal regulation, from the
spread of disease to neuronal transmission, the crucial feature of
many biological and natural phenomena is their evolution in time. The
purpose of the school is to present some fields of application of
mathematical modelling of dynamical systems to physiology and
medicine, and concurrently to give a presentation of some of the
mathematical techniques used in such modelling.  The school will offer
five courses centered on the biological background and on the
mathematical modelling of relevant biomedical phenomena: the spread of
cardiac electrical excitation; the physiology of gas flow in the
airways; the system controlling glucose blood levels by means of the
hormone insulin; the activity and synchronisation of neurones; the
mechanism of production of blood cells with attendant regulations and
possible derangements.  Differential equations, with or without delay,
are the natural mathematical tool for the study of dynamical
systems. Computationally intensive techniques have also enjoyed
increasing recognition, in the wake of the more widespread
availability of cheap computing power. The school will therefore also
offer two methodological courses, respectively on Delay Differential
Equations and on Numerical Methods.  The School is addressed to
doctoral students in mathematics or allied disciplines (engineering,
physics, statistics) looking for exposure to medical problems, and to
young biologists and physicians intending to employ mathematical tools
in their research.  The school will be organised along the seven main
courses, together with a workshop, invited lectures and participant
lectures. Teaching units (lectures by instructors and invited
speakers) will be 40' each including 5' questions and discussion,
separated by substantial intervals. Lectures by participants (20')
will be arranged in couples and follow the same scheme. Main courses
will be plenary, while invited talks and student presentations may be
split into two parallel sessions. Participants will be given ample
opportunity to interact with instructors during and after hours, as
well as completing didactic projects in groups of mixed extraction.


Ovide Arino, Edoardo Beretta, Andrea De Gaetano (Managing Director),
Simona Panunzi and Fortunata Solimano.


Luis Abia, Ovide Arino, Alain Bardou, Jacques
Belair, Edoardo Beretta, Rodolfo Bermejo, George Cremona, Andrea De
Gaetano, Oliver Jensen, Yang Kuang, Andre' Longtin, Philip Maini,
Andrea Mari, Khashayar Pakdaman, Fortunata Solimano, Yasuhiro Takeuchi.


Periodic haematological diseases and leukemia (10 units)
Coordinator: Jacques Belair, University of Montreal, Quebec, Canada

Teaching units:
Periodic Haematological Diseases: Pathology, Modelling, and Treatment
(two units).
Peripheral Control of Red Blood Cell Production (two units).
Peripheral Control of White Blood Cell Production (two units).
Stem Cell Dynamics: Understanding Cyclical Neutropenia and Periodic
Leukaemia (two units).
Regulation of Platelet Production by Thrombopoietin (two units).

Modelling and cellular automata in the study of cardiac arrhythmias
and ventricular fibrillation (8 units)
Coordinator: Alain Bardou, INSERM/University of Rennes 1, Rennes, France

Teaching units:
Historical perspective and a summary of notions of cardiac
The main problems related to the rhythm and ventricular fibrillation
Models of cardiac cellular activity
Models for the propagation at the tissular level. Implications in
novel therapeutic strategies and risk prevention (two units).
TBA (two units).

Modelling aspects of airflow and gas exchange in the lung (8 units)
Coordinator: George I. Cremona, Ospedale Università San Raffaele,
Milano, Italy
Other instructors: Oliver Jensen, Applied Mathematics, University of
Nottingham, UK

Teaching units:
Flow through deformable airways (two units)
Wheezing and other musical aspects of flow in the airways (two units)
Nitric oxide - a simple molecule of many talents (two units)
Modelling  Pulmonary nitric oxide exchange dynamics (two units)

Models for the Glucose-Insulin system (10 units)
Coordinators: Andrea De Gaetano, CNR IASI Roma, Italy, Andrea Mari,
CNR Ladseb Padova
Other instructors: Jeppe Sturis, NovoNordisk Pharmaceuticals, DK.

Teaching units:
Basic physiology of energy metabolism.
Non-linear model of ultradian oscillations in glucose and insulin
Frequency-locking behavior - comparison of model simulations and
clinical experiments.
Bifurcation behavior of oscillatory glucose/insulin models
Glucose kinetics and insulin resistance. Need for quantitative
The euglycemic hyperinsulinemic clamp.
Tracer kinetics and models at steady state: compartmental and
circulatory models.
Tracer kinetics and models in non-steady state: compartmental and
circulatory models.
Models for insulin sensitivity: the minimal model.
Multi-compartment and circulatory models.
Delay differential models.

Neuronal modeling (10 units)
coordinator: K. Pakdaman, INSERM Paris, France
other instructors: A. Longtin, University of Ottawa, Canada

Teaching units:
Overview on neuronal models I   From threshold devices to Hodgkin-Huxley
Overview on neuronal models II  Compartmental models
Synaptic dynamics
Neuronal coding I  Are neurons reliable?
Neuronal coding II   A possible biomedical application enhanced
sensitivity through stochastic resonance
Neuronal coding III  Information theoretic approach
Neural feedback modelling: the self-exciting neuron as a model for
central pattern generators and memory
Neuronal assemblies:  How can neurons synchronise their firing?
Functional applications I Modelling the electrosensory system of
electric fish
Functional applications II Modelling a pathology

Delay Differential Equations (14 units)
Coordinator: Edoardo Beretta, Istituto di Biomatematica, Università
degli Studi di Urbino, Urbino, Italy
Other instructors:
Mostafa Adimy, Dept. de Mathématiques, Université de Pau et des Pays
de l'Adour, Pau, France.
Ovide Arino, Université de Pau and IRD Bondy, Bondy, France
Uwe an der Heiden, Institute of Mathematics and Theory of Complex
Systems, Universität Witten/Herdecke, Witten, Germany.
Shigui Ruan, Dept. of Mathematics and Statistics, Dalhousie University,
Halifax, Nova Scotia, Canada
Yasuhiro Takeuchi, Dept. of Systems Engineering, Faculty of Engineering,

Shizuoka University, Hamamatsu, Japan.

Teaching units:
Linear theory of delay differential equations: introductory theory
(three units)
Nonlinear delay differential equations: semilinear theory and some
advances in the geometry of curves, surfaces and manifolds determined
by delay differential equations (three units)
Stability switches in delay differential systems with delay dependent
parameters (three units);
On the dynamics of nonlinear feedback loops with applications to
cellular, physiological and sensory systems (two units);
Infection models with delay (two units);
Time-delayed chemostat models for bacteria and virulent phages.

Numerical methods (10 units)
Coordinator: Rodolfo Bermejo, Universidad Complutense, Madrid, Spain
Other instructors: Luis Abia, Department of Mathematics, University of

numerical integration of ODE's: simple methods, pitfalls and
diagnostics (two units)
variable step/ variable order methods (two units)
integrators for stiff systems and further ODE integration problems (two
basic finite differences methods for PDE's (two units)
integration of PDE's for age-structured problems
numerical integration of DDE's


1) Participants from EU Countries* and Associated States**, 35 years
   of age or less, granted EC support by the school, pay 350 euro (due
   to European Commission support most young participants from EU
   Countries and Associated States will be supported at this level).

2) Participants granted partial support by the school organization
   itself, irrespective of age or nationality, pay 750 euro

3) Participants responsible for their entire registration fee pay 1450
euro *EU Countries: Austria, Belgium, Denmark, Finland, France,
Germany, Greece, Ireland, Italy, Luxemburg, The Netherlands, Portugal,
Spain, Sweden, United Kingdom.
**Associated States: Bulgaria, Cyprus, Czech Republic, Estonia,
Hungary, Israel, Iceland, Latvia, Liechtenstein, Lithuania, Norway,
Poland, Romania, Slovak Republic, Slovenia, Switzerland.

Late fee: please add  100.00 if registering after June 20th 2002
Fees may paid by bank transfer on the following bank account:
EMBMA EuroMediterranean BioMathematics Association
Monte dei Paschi di Siena Agenzia 33, Roma, Italy

Fees may also be paid cash in Euro upon arrival to the school
(including the late fee).  The school fee includes registration fee,
full board and accommodation at the Collegio del Colle, coffee breaks,
lecture notes and course material, week-end excursions, social events,
transport from and to Pesaro railway station on arrival and departure,
membership in the European Society for Mathematical and Theoretical
Biology (ESMTB). ESMTB members please reduce above fee by 25.00
(student members) or 40.00 (regular members). Fees don't include
travel to and from the school.


The official language of the school is English


The school will be conducted during two working weeks, Monday July 8th
through Friday July 19th, including the morning of the intervening
Saturday, for a total of 95 teaching units (including courses, invited
talks and participant presentations). Each day there will be 9 lecture
units of 40 min by the staff and by invited speakers, as well as
participant presentations of 20 min each. Accomodations and meals will
be provided from Sunday, July 7th, afternoon, through Saturday, July
20th, morning.


The school will be held entirely within the hilltop campus "Collegio
del Colle" ("College-on-the-Hill") of the University of Urbino, in
Central Italy.  The "Collegio del Colle" offers an ideal combination
of living quarters, lecture halls and ancillary services (restaurant,
coffee breaks, telephones, Internet connections, photocopying)
distributed on a green hilltop within a single walled enclosure.  The
beautiful medieval town of Urbino is about ten minutes walking
distance from the school venue, sufficiently close for an easy after
dinner stroll. Please consult the school's Web Page for details on the
location.  The more commercial Pesaro on the Adriatic shore may be
reached by bus or car.  Urbino is served by rail (Pesaro Station), Bus
and Plane (Ancona, Bologna or Rome airports then train). Bus shuttle
service will be available between Pesaro Railway Station and the
school venue, with a clearly visible welcome desk at the station.


April 20th, 2002: Pre-registration opens;
May 20th, 2002: Deadline for scholarship applications;
May 30th, 2002: Communication of scholarship attributions;
June 5th, 2002: Final Announcement
June 15 th, 2002: Deadline for the submission of contributed
presentations and lecture notes.
June 20th, 2002: Pre-registration closes: payments after this date
carry a 100.00 late-fee.

If you are interested in coming to the school, please fill in the
contact form and the financial support form on the School's Web Page.

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