Publications

Preprints

• Generalisation of Farkas’ lemma beyond closedness: a constructive approach via Fenchel-Rockafellar duality
  with E. Trélat, C. Zhang

• Computer-assisted proofs of non-reachability for linear parabolic PDEs under bounded control constraints
  with I. Hasenohr, Y. Privat, C. Zhang

• Estimating the intensity of a filtered Poisson point process on \(\mathbb{R}^d\)
  with R. Abergel, F. Comte, C. Duval

• Random Leja points

• Constructive reachability for linear control problems under conic constraints
  with E. Trélat, C. Zhang

Journal articles

21. Regularisation for the approximation of functions by mollified discretisation methods
    with M. Hoffmann
    SIAM Journal on Uncertainty Quantification (2025)
22. Computer-assisted proofs of non-reachability for linear finite-dimensional control systems
    with I. Hasenohr, Y. Privat, C. Zhang
    SIAM Journal on Control and Optimization (2025)
23. An integrative phenotype-structured partial differential equation model for the population dynamics of epithelial-mesenchymal transition
    with J. Guilberteau, P. Jain, M. K. Jolly, N. Pouradier Duteil
    NPJ Systems Biology and Applications (2025)
24. Solving Abel integral equations by regularisation in Hilbert scales
    with C. Della Valle
    Journal of Mathematical Analysis and Applications (2024)
25. Approximate control of parabolic equations with on-off shape controls by Fenchel duality
    with E. Trélat, C. Zhang
    Annales de l’Institut Poincaré C - Analyse non linéaire (2024)
26. Long-time behaviour of an advection-selection equation
    with J. Guilberteau, N. Pouradier Duteil
    Discrete and Continuous Dynamical Systems - B (2024)
27. Linear inverse problems with nonnegativity constraints: singularity of optimisers
    with O. Verdier
    Inverse Problems and Imaging (2024)
28. A phenotype-structured model for the tumour-immune response
    with Z. Kaid, J. Clairambault
    Mathematical Modelling of Natural Phenomena (2023)
29. Pandemic Lock-down, Isolation, and Exit Policies Based on Machine Learning Predictions
    with T. Evgeniou, M. Fekom, A. Ovchinnikov, R. Porcher, N. Vayatis
    Production and Operations Management (2022)
30. Monostability and bistability of biological switches
    with J. Guilberteau, N. Pouradier Duteil
    Journal of Mathematical Biology (2021)
31. Statistical model and ML-EM algorithm for emission tomography with known movement
    with O. Verdier
    Journal of Mathematical Imaging and Vision (2021)
32. SEAIR framework accounting for a personalised risk prediction score: application to the Covid-19 epidemic
    with O. Boulant, M. Fekom, T. Evgeniou, A. Ovchinnikov, R. Porcher, N. Vayatis
    Image Processing On Line (2020)
33. Asymptotic analysis of selection-mutation models in the presence of multiple fitness peaks
    with T. Lorenzi
    Nonlinearity (2020)
34. The ML-EM algorithm in continuum: sparse measure solutions
    with O. Verdier
    Inverse Problems (2020)
35. Hele-Shaw limit for a system of two reaction-(cross-)diffusion equations for living tissues
    with F. Bubba, B. Perthame, M. Schmidtchen
    Archive for Rational Mechanics and Analysis (2020)
36. A chemotaxis-based explanation of spheroid formation in 3D cultures of breast cancer cells
    with F. Bubba, N. Ferrand, G. Vidal, L. Almeida, B. Perthame, M. Sabbah
    Journal of Theoretical Biology (2019)
37. Phase portrait control of 1D monostable and bistable reaction-diffusion equations
    with E. Trélat, E. Zuazua
    Nonlinearity (2019)
38. Combination of direct methods and homotopy in numerical optimal control: application to the optimization of chemotherapy in cancer
    with A. Olivier
    Journal of Optimization Theory and Applications (2019)
39. Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations
    with L. Almeida, F. Bubba, B. Perthame
    Networks and Heterogeneous Media (2019)
40. Global stability with selection in integro-differential Lotka-Volterra systems modelling trait-structured populations
    with E. Trélat
    Journal of Biological Dynamics (2018)
41. Asymptotic analysis and optimal control of an integro-differential system modelling healthy and cancer cells exposed to chemotherapy
    with J. Clairambault, A. Lorz, E. Trélat
    Journal de Mathématiques Pures et Appliquées (2018)

Proceedings

2. Spatiotemporal PET reconstruction using ML-EM with learned diffeomorphic deformation
   with O. Öktem, O. Verdier
   MLMIR (2019)
3. A survey of adaptive cell population dynamics models of emergence of drug resistance in cancer, and open questions about evolution and cancer
   with J. Clairambault
   Biomath (2019)

Notes

• On the stability of the state 1 in the non-local Fisher-KPP equation in bounded domains
  Comptes Rendus Mathematique (2018)

Book chapters

• Why is evolution important in cancer and what mathematics should be used to treat cancer? Focus on drug resistance
  with L. Almeida, R. Chisholm, J. Clairambault, T. Lorenzi, A. Lorz, E. Trélat
  Biomat (2018)

PhD thesis

• Analysis, control and optimisation of PDEs, application to the biology and therapy of cancer
  PhD thesis

Popularisation (in French)

• Combattre les tumeurs résistantes à la chimiothérapie grâce au contrôle optimal
  with E. Trélat
  Images des mathématiques (2019)