Effect of immunotherapy on the response of TICLs to solid tumour invasion

Mambili-Mamboundou, Hermane; Sibanda, Precious; Malinzi, Joseph

doi:10.1016/j.mbs.2014.01.002

Cited by 6 publications

(9 citation statements)

References 13 publications

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“…The mathematical model presented in this study considers a couple of simplifying assumptions and omits certain biological aspects during tumour invasion mainly the immune response which has been shown to impede tumour development [33,37,40]. Despite this fact, the results of this study affirm that combining chemotherapeutic drugs and viruses to treat cancer is more effective and a good alternative to either chemotherapy or virotherapy, which is in agreement with [6,60].…”

Section: Discussionsupporting

confidence: 78%

Modelling the spatiotemporal dynamics of chemovirotherapy cancer treatment

Malinzi

Eladdadi

Sibanda

2017

Journal of Biological Dynamics

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Chemovirotherapy is a combination therapy with chemotherapy and oncolytic viruses. It is gaining more interest and attracting more attention in the clinical setting due to its effective therapy and potential synergistic interactions against cancer. In this paper, we develop and analyse a mathematical model in the form of parabolic nonlinear partial differential equations to investigate the spatiotemporal dynamics of tumour cells under chemovirotherapy treatment. The proposed model consists of uninfected and infected tumour cells, a free virus, and a chemotherapeutic drug. The analysis of the model is carried out for both the temporal and spatiotemporal cases. Travelling wave solutions to the spatiotemporal model are used to determine the minimum wave speed of tumour invasion. A sensitivity analysis is performed on the model parameters to establish the key parameters that promote cancer remission during chemovirotherapy treatment. Model analysis of the temporal model suggests that virus burst size and virus infection rate determine the success of the virotherapy treatment, whereas travelling wave solutions to the spatiotemporal model show that tumour diffusivity and growth rate are critical during chemovirotherapy. Simulation results reveal that chemovirotherapy is more effective and a good alternative to either chemotherapy or virotherapy, which is in agreement with the recent experimental studies. ARTICLE HISTORY

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Section: Discussionsupporting

confidence: 78%

Modelling the spatiotemporal dynamics of chemovirotherapy cancer treatment

Malinzi

Eladdadi

Sibanda

2017

Journal of Biological Dynamics

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“…In this way we obtain an estimate of the strength with which a tumour invades immune cells or the ability of tumour cells to resist invasion by immune cells and also identify the tumour invasion properties in the form of parameters that should be targeted to mitigate cancer in body tissue. The work presented in this paper complements the analysis done by Mambili-Mamboundou et al [17]. They presented similar model equations, analyzed their equilibria, and found numerical solutions.…”

Section: Introductionsupporting

confidence: 64%

“…We consider that all cell densities diffuse at constant rates. We thus consider the following system of parabolic nonlinear partial differential equations (Mambili-Mamboundou et al [17]):…”

Section: The Modelmentioning

confidence: 99%

“…They presented similar model equations, analyzed their equilibria, and found numerical solutions. The main objective in Mambili-Mamboundou et al 's work [17] was to ascertain the cause of cancer dormancy and investigate the effect that immunotherapy has on the response of TICLs to solid tumour invasion. into local concentrations of primed TICLs , tumour cells , interleukin 2 concentration IL 2 , tumour-immune cell complex , a chemokine , and resting cells .…”

Section: Introductionmentioning

confidence: 99%

“…We assume that IL 2 does not necessarily bind with TICLs to form a cell complex but rather stimulates the TICLs to fight cancer through lymphocyte activation, growth, and differentiation. We also assume that IL 2 increases the rate of conversion of resting TICLs to primed TICLs (see [17,18]). is a class representing the population of TICLs which have not yet matured or been activated by antigens.…”

Section: Introductionmentioning

confidence: 99%

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Response of Immunotherapy to Tumour-TICLs Interactions: A Travelling Wave Analysis

Malinzi

Sibanda

Mambili-Mamboundou

2014

Abstract and Applied Analysis

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There are several cancers for which effective treatment has not yet been identified. Mathematical modelling can nevertheless point out to clinicians tumour invasion properties that should be targeted to mitigate these cancers. We present a travelling wave analysis of a tumour-immune interaction model with immunotherapy. We use the geometric treatment of an apt-phase space to establish the intersection between stable and unstable manifolds. We calculate the minimum wave speed and numerical simulations are performed to support the analytical results.

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