Optimal control of acute myeloid leukaemia.
Immune response
Leukaemia
Optimal treatment
Stem cells
Journal
Journal of theoretical biology
ISSN: 1095-8541
Titre abrégé: J Theor Biol
Pays: England
ID NLM: 0376342
Informations de publication
Date de publication:
07 06 2019
07 06 2019
Historique:
received:
28
09
2018
revised:
06
03
2019
accepted:
07
03
2019
pubmed:
12
3
2019
medline:
10
7
2020
entrez:
12
3
2019
Statut:
ppublish
Résumé
Acute myeloid leukaemia (AML) is a blood cancer affecting haematopoietic stem cells. AML is routinely treated with chemotherapy, and so it is of great interest to develop optimal chemotherapy treatment strategies. In this work, we incorporate an immune response into a stem cell model of AML, since we find that previous models lacking an immune response are inappropriate for deriving optimal control strategies. Using optimal control theory, we produce continuous controls and bang-bang controls, corresponding to a range of objectives and parameter choices. Through example calculations, we provide a practical approach to applying optimal control using Pontryagin's Maximum Principle. In particular, we describe and explore factors that have a profound influence on numerical convergence. We find that the convergence behaviour is sensitive to the method of control updating, the nature of the control, and to the relative weighting of terms in the objective function. All codes we use to implement optimal control are made available.
Identifiants
pubmed: 30853393
pii: S0022-5193(19)30107-9
doi: 10.1016/j.jtbi.2019.03.006
pii:
doi:
Types de publication
Journal Article
Research Support, Non-U.S. Gov't
Langues
eng
Sous-ensembles de citation
IM
Pagination
30-42Informations de copyright
Copyright © 2019 Elsevier Ltd. All rights reserved.