A5083053202- Mathematical Biology Tumor Growth
- Cancer Cells and Metastasis
- Animal Virus Infections Studies
- Mathematical and Theoretical Epidemiology and Ecology Models
- Computational Drug Discovery Methods
- COVID-19 epidemiological studies
- Virus-based gene therapy research
- Immunotherapy and Immune Responses
- Evolution and Genetic Dynamics
- Gene Regulatory Network Analysis
- Immune Cell Function and Interaction
- COVID-19 diagnosis using AI
- Polyomavirus and related diseases
- Digital Imaging for Blood Diseases
- Cancer Immunotherapy and Biomarkers
- Bacteriophages and microbial interactions
- Virology and Viral Diseases
- Microtubule and mitosis dynamics
- Viral Infectious Diseases and Gene Expression in Insects
- Nonlinear Waves and Solitons
- Advanced Breast Cancer Therapies
- Fractional Differential Equations Solutions
- Mosquito-borne diseases and control
- Fiscal Policy and Economic Growth
- Capital Investment and Risk Analysis
University of Eswatini
2018-2024
Durban University of Technology
2020-2024
University of Pretoria
2017-2018
University of KwaZulu-Natal
2014-2015
Oncolytic virotherapy has been emerging as a promising novel cancer treatment which may be further combined with the existing therapeutic modalities to enhance their effects. To investigate how could chemotherapy, we propose an ODE based mathematical model describing interactions between tumour cells, immune response, and combination chemotherapy oncolytic viruses. Stability analysis of constant rates shows that without any form treatment, would grow its maximum size. It also demonstrates...
The long-term efficacy of targeted therapeutics for cancer treatment can be significantly limited by the type therapy and development drug resistance, inter alia. Experimental studies indicate that factors enhancing acquisition resistance in cells include cell heterogeneity, target alteration, inactivation, DNA damage repair, efflux, death inhibition, as well microenvironmental adaptations to therapy, among others. Combination therapies (CCTs) are employed overcome these molecular...
Chemovirotherapy is a combination therapy with chemotherapy and oncolytic viruses. It gaining more interest attracting attention in the clinical setting due to its effective potential synergistic interactions against cancer. In this paper, we develop analyse mathematical model form of parabolic non-linear partial differential equations investigate spatiotemporal dynamics tumour cells under chemovirotherapy treatment. The proposed consists uninfected infected cells, free virus,...
A mathematical model for the treatment of cancer using chemovirotherapy is developed with aim determining efficacy three drug infusion methods: constant, single bolus, and periodic treatments. The in form ODEs further extended into DDEs to account delays as a result infection tumor cells by virus chemotherapeutic responses. Analysis carried out each methods. Analytic solutions are determined where possible stability analysis both steady state presented. results indicate that constant methods...
The Physics Informed Neural Networks framework is applied to the understanding of dynamics COVID-19. To provide governing system equations used by framework, Susceptible–Infected–Recovered–Death mathematical model used. This study focused on finding patterns disease which involves predicting infection rate, recovery rate and death rate; thus, active infections, total recovered, susceptible deceased at any required time. data that were collected COVID-19 from Kingdom Eswatini between March...
This work investigates the synergistic effects of combination oncolytic virotherapy and chemotherapy on tumour cells. A mathematical model, in form ordinary differential equations, is developed, analysed numerically simulated. Analytical results show that without treatment, a would grow to its maximum size. Also, presence microenvironment, their own are incapable clearing cells but instead reduce concentration. However, with use chemovirotherapy all depleted. It also demonstrated as virus...
Despite the lifting of COVID-19 restrictions, pandemic and its effects remain a global challenge including sub-Saharan Africa (SSA) region. Knowledge dynamics potential trends amidst variations in vaccine coverage is therefore crucial for policy makers SSA region where uptake generally lower than high-income countries. Using compartmental epidemiological model, this study aims to forecast determine how long wave could be, taking into consideration current vaccination rates. The model...
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 mitigate these cancers. We present a travelling wave analysis of tumour-immune interaction model with immunotherapy. use the geometric an apt-phase space establish intersection between stable and unstable manifolds. calculate minimum speed numerical simulations performed support analytical results.
A mathematical model for prostate cancer treatment using a curative vaccine is developed to determine the efficacy of constant drug infusion into body tissues. It describes interaction tumour cells, immune response, and vaccine, commonly known as Sipuleucel-T vaccine. Stability analysis shows that, without treatment, cells would grow maximum carrying capacity. also demonstrated that could clear from tissues if less than ratio product death dendritic its decay rate activation therapy. Global...
There has been considerable interest in seeking exact solutions of non-linear evolution equations that describe important physical and biological processes. Nonetheless, it is a difficult undertaking to determine closed form mathematical models natural phenomena. This because their high non-linearity the huge number parameters which they consist. In this article we determine, using hyperbolic tangent (tanh) method, travelling wave biology physics. These have recognizable properties expected...
This article studies a cost project problem identified here as the Moon with mathematical laws. The is program regulated by certain constraints principal variable N∈Z that survives on h∈H only if it lowest level (level 1). For this particular problem, we model total T for mounting under coordinates involving inward payables (w), outward (x), consumables (y), cross subsidisation (z) independent and sufficient describing configuration of complicated production systems. Additionally, optimal...
The long-term efficacy of targeted therapeutics for cancer treatment can be significantly limited by the type therapy and development drug resistance, inter alia. Experimental studies indicate that factors enhancing acquisition resistance in cells include cell heterogeneity, target alteration, inactivation, DNA damage repair, efflux, death inhibition, as well microenvironmental adaptations to therapy, among others. Combination therapies (CCTs) are employed overcome these molecular...