The contribution of evolutionary game theory to understanding and treating cancer

B Wölfl, H Te Rietmole, M Salvioli… - Dynamic Games and …, 2022 - Springer
Evolutionary game theory mathematically conceptualizes and analyzes biological
interactions where one's fitness not only depends on one's own traits, but also on the traits of …

Optimal control to develop therapeutic strategies for metastatic castrate resistant prostate cancer

JJ Cunningham, JS Brown, RA Gatenby… - Journal of theoretical …, 2018 - Elsevier
In metastatic castrate resistant prostate cancer (mCRPC), abiraterone is conventionally
administered continuously at maximal tolerated dose until treatment failure. The majority of …

Optimal control analysis of a malaria disease transmission model that includes treatment and vaccination with waning immunity

KO Okosun, R Ouifki, N Marcus - Biosystems, 2011 - Elsevier
We derive and analyse a deterministic model for the transmission of malaria disease with
mass action form of infection. Firstly, we calculate the basic reproduction number, R0, and …

Application of optimal control to the onchocerciasis transmission model with treatment

EO Omondi, TO Orwa, F Nyabadza - Mathematical biosciences, 2018 - Elsevier
In this paper, we present a model for onchocerciasis that considers mass administration of
ivermectin, contact prevention controls and vector elimination. The model equilibria are …

Evaluating optimal therapy robustness by virtual expansion of a sample population, with a case study in cancer immunotherapy

S Barish, MF Ochs, ED Sontag… - Proceedings of the …, 2017 - National Acad Sciences
Cancer is a highly heterogeneous disease, exhibiting spatial and temporal variations that
pose challenges for designing robust therapies. Here, we propose the VEPART (Virtual …

Cell cycle as an object of control

A Świerniak, M Kimmel, J Smieja, K Puszynski… - … Approach to Planning …, 2016 - Springer
This chapter is devoted to models of cancer growth and anticancer therapies that put special
emphasis on the dependence of therapy efficiency on cell cycle. First, biological background …

Global stability analysis and control of leptospirosis

KO Okosun, M Mukamuri, DO Makinde - Open Mathematics, 2016 - degruyter.com
The aim of this paper is to investigate the effectiveness and cost-effectiveness of
leptospirosis control measures, preventive vaccination and treatment of infective humans …

Optimized treatment schedules for chronic myeloid leukemia

Q He, J Zhu, D Dingli, J Foo… - PLoS computational …, 2016 - journals.plos.org
Over the past decade, several targeted therapies (eg imatinib, dasatinib, nilotinib) have
been developed to treat Chronic Myeloid Leukemia (CML). Despite an initial response to …

Optimal control analysis of a leukemia model under imatinib treatment

IR Rădulescu, D Candea, A Halanay - Mathematics and computers in …, 2016 - Elsevier
The paper is devoted to the study of a mathematical model of drug therapy for Chronic
Myelogenous Leukemia (CML). The disease dynamics are given by a couple of delay …

Mathematical models of leukaemia and its treatment: a review

S Chulián, A Martínez-Rubio, M Rosa… - SeMA Journal, 2022 - Springer
Leukaemia accounts for around 3% of all cancer types diagnosed in adults, and is the most
common type of cancer in children of paediatric age (typically ranging from 0 to 14 years) …