270 citations · 842 across the 21 of their papers we have counts for
6 papers · 1 filter
Curvature and Torsion estimation of 3D functional data: A geometric approach to build the mean shape under the Frenet Serret framework
Juhyun Park, Nicolas Brunel, Perrine Chassat
The analysis of curves has been routinely dealt with using tools from functional data analysis. However its extension to multi-dimensional curves poses a new challenge due to its i…
Mean curvature and mean shape for multivariate functional data under Frenet-Serret framework
Juhyun Park, Nicolas J-B. Brunel
The analysis of curves has been routinely dealt with using tools from functional data analysis. However its extension to multi-dimensional curves poses a new challenge due to its i…
Constrained Nonlinear and Mixed Effects Differential Equation Models for Dynamic Cell Polarity Signaling
Zhen Xiao, Nicolas Brunel, Zhenbiao Yang +1
The key of tip growth in eukaryotes is the polarized distribution on plasma membrane of a particle named ROP1. This distribution is the result of a positive feedback loop, whose me…
Parametric Estimation of Ordinary Differential Equations with Orthogonality Conditions
Nicolas J-B Brunel, Quentin Clairon, Florence d'Alche-Buc
Differential equations are commonly used to model dynamical deterministic systems in applications. When statistical parameter estimation is required to calibrate theoretical models…
State and Parameter Estimation of Partially Observed Linear Ordinary Differential Equations with Deterministic Optimal Control
Quentin Clairon, Nicolas Brunel
Ordinary Differential Equations are a simple but powerful framework for modeling complex systems. Parameter estimation from times series can be done by Nonlinear Least Squares (or…
A Tracking Approach to Parameter Estimation in Linear Ordinary Differential Equations
Nicolas Brunel, Quentin Clairon
Ordinary Differential Equations are widespread tools to model chemical, physical, biological process but they usually rely on parameters which are of critical importance in terms o…