Welcome page
Presentation
Objective
of the course
Detailed calendar for each week (regularly of new details)
Registration form (.txt)
This course is addressed to mathematicians who are curious to know the applications of mathematics to life sciences. They are so many that what we present constitutes only one very small sample, moreover they are completely skewed!
The fields which we chose do not involve probabilities nor statistics, which for a very long time, are known to be used in the life sciences. One can even add to that, to a large extent, their development was justified by questions of biology.
More recently the theory of ordinary differential equations and/or partial differential equations started to play a prominent role in the life sciences, as it has done for physics starting from the beginnings of mechanics. This was done by the arrival of the computer which allows simulations of very complex systems that are uncounted in the life sciences.
The course is centered on the use of ordinary differential equations and/or partial differential equations to most of the field of life sciences from smallest (expression of the genome) to largest (modelings of the systems of fishing and epidemiology) passing by intermediate scales (biomechanics).
As far as the constraints of time will allow it, we have gathered topics from various courses . This has led to arrangement in modules. These will be given a detailed description and accompanied by a bibliography.
The focus of the courses are the mathematicians, beginners or confirmed. A rather broad panoramia of the mathematical techniques mentioned above will be delivered by specialists in the concerned fields. The materials of the whole of the six-month period is very vast and very rich and certainly inassimilable in his totality in also little time. However the participants who would like to go deeper in one part of the course will be able to do it using an abundant bibliography, documentation placed at their disposal and personal contacts which they will be able to do with the speakers.
Period I (January 15 - February 2)
Ordinary differential equations in biology
J.L. Gouzé (INRIA Project COMORE), S. Touzeau (INRA), R. Arditi (Pulpit of ecology of the INAPG), C. Lobry (INRIA MERE project), T. Sari (University of Mulhouse and INRIA Project COMORE), S. Ben Miled (University of el Manar Laboratory ENIT-LAMSIN).
Fundamental tools to calculate on the alive one
D. Tschumperlé (CNRS GREYC), F. Cazals and P. Alliez (INRIA ODYSSEY Project), Mr. Clerc and T. Papadopoulo (INRIA Projet ODYSSEY).
Mathematical models for cancer
A. HABBAL (University of Nice, laboratory JAD/INRIA OPAL Project), EP Jabin (University of NICE, laboratory JAD)
K. Saïdane (Institute of Biomedical Engineering, Polytechnic School, Montreal, Canada), C. Misbah (CNRS, Lab. Spectro, University J. Fourier, Grenoble I)
Mr. Langlais (University of Bordeaux III and INRIA Project ANUBIS), G. Sallet (University of METZ)
Amel BEN ABDA, Slimane BEN MILED, Claude LOBRY.
The courses will be given in French or English.
Period
I (period January 15 - February 2)
Ordinary differential equations in biology
Coordinated by J.L. Gouzé (INRIA Project COMORE) and C. Lobry (INRIA MERE Project)
Period II (period February 5-23)
Fundamental tools to calculate on the alive one
Coordinated by Th. Vieville (INRIA ODYSSEY Project)
Period III (period March 5-16)
Mathematical models for cancer
Coordinated by A. Habbal (University of Nice laboratory JAD/INRIA OPAL Project) and EP Jabin (University of Nice laboratory JAD)
Period IV (period March 19-30)
Coordinated by A. Ben Abda (University el Manar-Tunis, laboratory LAMSIN)
Coordinated by Mr. Langlais (University of Bordeaux III and INRIA Project ANUBIS) and G. Sallet (University of METZ)
Period I (period January 15 - February 2)
Ordinary differential equations in biology
Coordinated by J.L. Gouzé (INRIA Project COMORE) and C. Lobry (INRIA MERE Project)
Week January 15-19
J-L
Gouzé (INRIA Project COMORE) and S. Touzeau (INRA):
Mathematical models in dynamics of the populations.
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Week
January 22-26
R. Arditi (Pulpit of
ecology of the INAPG) and C. Lobry (INRIA MERE project): Ecology of
the populations: Relations between populations
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Week
January 29 February 2
T. Sari
(University of Mulhouse and INRIA Project COMORE): Mathematical
models around the genetics
S. Ben
Miled (LAMSIN - ENIT): Models of sexual allowance
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Period II (period February 5-23)
Fundamental tools to calculate on the alive one
Coordinated by Th. Vieville (INRIA ODYSSEY Project)
Week
5 - February 9
D. Tschumperlé
(CNRS GREYC): Image processing using from variational methods
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Restoration of images: denoising, deconvolution and interpolation |
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Week February
12-15
F.
Cazals and P. Alliez (INRIA Projet GEOMETRICA):
Geometrical tools and application to the biological imagery
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CGAL (introduction) |
CGAL (triangulation) |
CGAL (Polyhedral) |
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Week
19 - February 23
Mr. Clerc and T.
Papadopoulo (INRIA ODYSSEY Project): Medical imagery, the example of
the cerebral imagery
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Period III (period March 5-16)
Mathematical models for cancer
Week March 5-9
EP Jabin (University of NICE JAD)
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Free |
Free |
Week March 12-16
A. Habbal (University of Nice laboratory JAD/INRIA OPAL Project)
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Period IV (period March 19-30)
Coordinated by A. Ben Abda (University el Manar-Tunis, laboratory LAMSIN)
Week
March 19-23
K.
Saïdane (Institute of Biomedical Engineering, Polytechnic
School, Montreal, Canada): Introduction to biomechanics: the
cardiovascular one.
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Monday |
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9-12h |
K. Saïdane |
K. Saïdane |
K. Saïdane |
K. Saïdane |
K. Saïdane |
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14-17:00h |
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Week
March 26-30
C.
Misbah (CNRS, Lab. Spectro, University J. Fourier, Grenoble I): Some
passive movements and credits in biology.
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Saturday |
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9-11h |
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C. Misbeh |
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14-16:00h |
C. Misbeh |
C. Misbeh |
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Monday |
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9-12h |
M. Langlais |
M. Langlais
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M. Langlais
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G. Sallet
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G. Sallet |
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14-17:00h |
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G. Sallet |
Student's Seminar |
M. Langlais |
LAMSIN Seminar |
The courses take place in the room “UNESCO Chair”, on the 1st floor of the Tower Osman Bahri, in Enit (National School of Engineers of Tunis), from Monday to Friday starting from 9h in the morning.
Audience and prerequisites
The course is Master's level. It's open to Student's, reseachers and teachers.
There is no registration fee for the course.
Fellowships for reimbursing living and travel expenses are granted to some participants from Developing Countries who are recommended by a Senior Researcher.
Slimane Ben Miled
LAMSIN - ENIT
1002 TUNIS BP
TUNISIA
phone-fax: (+216) 71
87 10 22