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 .

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 schema. Main courses and workshop will be plenary, while invited talks and student presentations will 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.

• Periodic haematological diseases and leukemia (10 units)
• Modelling and cellular automata in the study of cardiac arrhythmias and ventricular fibrillation (8 units)
• Modelling aspects of airflow and gas exchange in the lung (8 units)
• Models for the Glucose-Insulin system (10 units)
• Neuronal modeling (10 units)
• Delay Differential Equations (14 units)
• Numerical methods (10 units)

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
ACCOUNT 2048.20, ABI 1030, CAB 03233, SWIFT PACITMROM

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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