The contribution of evolutionary game theory to understanding and treating cancer
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 …
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
In metastatic castrate resistant prostate cancer (mCRPC), abiraterone is conventionally
administered continuously at maximal tolerated dose until treatment failure. The majority of …
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
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 …
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
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 …
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
Cancer is a highly heterogeneous disease, exhibiting spatial and temporal variations that
pose challenges for designing robust therapies. Here, we propose the VEPART (Virtual …
pose challenges for designing robust therapies. Here, we propose the VEPART (Virtual …
Cell cycle as an object of control
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 …
emphasis on the dependence of therapy efficiency on cell cycle. First, biological background …
Global stability analysis and control of leptospirosis
The aim of this paper is to investigate the effectiveness and cost-effectiveness of
leptospirosis control measures, preventive vaccination and treatment of infective humans …
leptospirosis control measures, preventive vaccination and treatment of infective humans …
Optimized treatment schedules for chronic myeloid leukemia
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 …
been developed to treat Chronic Myeloid Leukemia (CML). Despite an initial response to …
Optimal control analysis of a leukemia model under imatinib treatment
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 …
Myelogenous Leukemia (CML). The disease dynamics are given by a couple of delay …
Mathematical models of leukaemia and its treatment: a review
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) …
common type of cancer in children of paediatric age (typically ranging from 0 to 14 years) …