Cell population heterogeneity and evolution towards drug resistance in cancer: biological and mathematical assessment, theoretical treatment optimisation

RH Chisholm, T Lorenzi, J Clairambault - Biochimica et Biophysica Acta …, 2016 - Elsevier
Background Drug-induced drug resistance in cancer has been attributed to diverse
biological mechanisms at the individual cell or cell population scale, relying on …

Bocop-A collection of examples

FJ Bonnans, P Martinon, V Grélard - 2012 - inria.hal.science
BOCOP - A collection of examples Page 1 ISSN 0249-6399 ISRN INRIA/RR--8053--FR+ENG
RESEARCH REPORT N 8053 September 2012 Project-Teams Commands BOCOP - A …

Tracking the evolution of cancer cell populations through the mathematical lens of phenotype-structured equations

T Lorenzi, RH Chisholm, J Clairambault - Biology direct, 2016 - Springer
Background A thorough understanding of the ecological and evolutionary mechanisms that
drive the phenotypic evolution of neoplastic cells is a timely and key challenge for the cancer …

Blood cell dynamics: half of a century of modelling

L Pujo-Menjouet - Mathematical Modelling of Natural …, 2016 - mmnp-journal.org
The objective of this paper is to give a review of the main works dealing with mathematical
modeling of blood cell formation, disorders and treatments within the past fifty years. From …

Noether currents for higher-order variational problems of Herglotz type with time delay

SPS Santos, N Martins, DFM Torres - arXiv preprint arXiv:1704.00088, 2017 - arxiv.org
We study, from an optimal control perspective, Noether currents for higher-order problems of
Herglotz type with time delay. Main result provides new Noether currents for such …

Cancer cells population control in a delayed-model of a leukemic patient using the combination of the eligibility traces algorithm and neural networks

E Kalhor, A Noori, G Noori - … Journal of Machine Learning and Cybernetics, 2021 - Springer
The main purpose of this paper is to provide a solution, through which one can efficiently
reduce the population of cancer cells by injecting the lowest dose of the drug; therefore …

Optimal control of state constrained age-structured problems

JF Bonnans, J Gianatti - SIAM Journal on Control and Optimization, 2020 - SIAM
The aim of this work is to study an optimal control problem with state constraints where the
state is given by an age-structured, abstract parabolic differential equation. We prove the …

Equations à retard et modèles de dynamiques de populations cellulaires

F Crauste - 2014 - inria.hal.science
A travers deux chapitres, je présente mon activité de recherche depuis 2006, date de mon
recrutement au CNRS. Celle-ci a concerné la modélisation et l'étude mathématique de …

An intelligent control strategy for cancer cells reduction in patients with chronic myelogenous leukaemia using the reinforcement learning and considering side effects …

A Noori, A Alfi, G Noori - Expert Systems, 2021 - Wiley Online Library
Abstract Chronic Myelogenous Leukaemia (CML) is a haematopoietic stem cells disease
with complex dynamical behaviour. One of the effective factors in treating patients is to …

Evitement de conflits aériens par une régulation subliminale en vitesse: modélisation & résolution via le contrôle optimal

L Cellier - 2015 - theses.hal.science
À travers une approche de contrôle optimal, cette thèse de doctorat propose une étude des
modèles et des techniques de résolution dans un domaine d'application propre à la gestion …