Inferring parameters in non linear systems of ordinary differential equations
Description
We wish to develop an automated and objective methodology to determined parameters in nonlinear systems of differential equations describing neural cell swelling. This will be applied to experimental data in order to determine biophysical properties of cell swelling. For a PhD project, we will also explore the experimental design, that is determining the experimental protocol that optimizes the expected information gain.
Research Field
- Ordinary differential equations
- Model calibration,
- Parameter identification
- Optimization
- Cell swelling
- Entropy
- High dimension systems
- Intelligent experimental design
Research Supervisor
Nicolas Doyon
Research Environment
Laval University
The project will take place in a multidisciplinary environment with possibility of collaborations with researchers of the CERVO research center https://cervo.ulaval.ca/fr.
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Financial Aid Available by Program of Study
Doctorate in Mathematics
Program descriptionFinancial Aid Available*
Financial Aid Related to Research Project
$21000 per year for 3 years.
The department of mathematics and statistics offers employment opportunities as corrector, exam monitor or teacher assistant.
The candidate will be encouraged to apply for other funding sources.
Program-Specific Financial Aid
Graduate Studies Awards
Milestone |
Amount |
Progression scholarship
|
7 x $500 |
Doctoral exam or seminar presentation
|
$750 |
Doctoral exam, seminar or conference
|
$1,000 |
Publication
|
$750 |
Communication
|
$1,000 |
First submission of dissertation
|
$1,000* |
Total |
$8,500 |
*A $500 bonus will be added to the graduation scholarship if the initial submission is made before the semester preceding the final qualifying semester.
Université Laval: Student Financial Aid
Supplemental Tuition Fee Exemption Scholarship Program: Entitles international students to pay Canadian student tuition fees, for overall savings of around $40,000.
* Amounts shown represent maximum financial aid available. Certain conditions apply. Subject to change without prior notice. For further information, contact sponsoring organizations directly.
Master's Degree in Mathematics with thesis
Program descriptionFinancial Aid Available*
Financial Aid Related to Research Project
$17000 per year for 2 years.
The department of mathematics and statistics offers employment opportunities as corrector, exam monitor or teacher assistant.
The candidate will be encouraged to apply for other funding sources.
Program-Specific Financial Aid
Graduate Studies Awards
Milestone |
Amount |
Evaluated activity
|
$650 |
Achievement scholarship |
$1,000 |
Total |
$1,650 |
Université Laval: Student Financial Aid
* Amounts shown represent maximum financial aid available. Certain conditions apply. Subject to change without prior notice. For further information, contact sponsoring organizations directly.
Desired Profile
- Mathematics, Statistics and Actuarial Science
- Statistic
Requirements and Conditions
- Interest for applied mathematics
- Interest for mathematical modelling
- Good ability to code in either Matlab or Python
- Autonmy
- Initiative
- Good writing capacity
Required Documentation
- Curriculum vitæ
- Student transcript
Find Out More
Nicolas Doyon
Professeur
Département de mathématiques et de statistique
nicolas.doyon@mat.ulaval.ca