An invitation to the probabilistic method
Some proofs are hard, some are trivial. Some are elegant and some are... less elegant. The probabilistic method luckily falls into the first category of proof tactics following the lines of "if an object exists with positive probability, then it exists". In this short note we take a stroll through some examples of statements that can be effectively proven using approach.
November, 2023
Simulating the original Turing 2-PDE Reaction-Diffusion model with Finite Differences
This small blog post acts as a humble walkthrough the most common steps from finite differences to discretize a 2-PDE parabolic system with Neumann Condition and discuss it's numerical implementation using Python.
April, 2022
My first year's Master's thesis.
This is a link to my highly interdisciplinary 6-months research project supervised by Philippe Roudot (I2M), Claudio Collinet (IBDM) and Thomas Lecuit (IBDM, Collège de France). The topic was the one of tissue morphogenesis in drosophila, more precisely, finding new methods for cellular tracking and imaging of endo/exocytic traffiking of molecules such as food. The method is based on fluorescent microscopy using TagGFP to track Clathrin (Clc) and E-Cadherin (Ecad) proteins which are markers of such trafficking activity.
July, 2022