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20162021
most citedMathematical modelling of the interaction between cancer cells and an oncolytic virus: insights into the effects of treatment protocols

80 citations · 247 across the 10 of their papers we have counts for

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7 papers · 1 filter

math.DS2021

The role of antigen-competitive dynamics in regulating the immune response

Pantea Pooladvand, Peter S. Kim, Barbara Fazekas de St Groth

The clonal expansion of T cells during an infection is tightly regulated to ensure an appropriate immune response against invading pathogens. Although experiments have mapped the t…

math.DS202128 cited

The role of viral infectivity in oncolytic virotherapy outcomes: A mathematical study

Pantea Pooladvand, Chae-Ok Yun, A-Rum Yoon +2

A model capturing the dynamics between virus and tumour cells in the context of oncolytic virotherapy is presented and analysed. The ability of the virus to be internalised by unin…

math.DS20217 cited

Mathematical model for delayed responses in immune checkpoint blockades

Collin Y. Zheng, Peter S. Kim

We introduce a set of ordinary differential equations (ODE) that qualitatively reproduces delayed responses observed in immune checkpoint blockade therapy (e.g. anti-CTLA-4 Ipilimu…

math.DS202152 cited

Oncolytic virotherapy for tumours following a Gompertz growth law

Adrianne L. Jenner, Peter S. Kim, Federico Frascoli

We present a mathematical model describing oncolytic virotherapy treatment of a tumour that proliferates according to a Gompertz growth function. We present local stability analysi…

math.DS20213 cited

Effects of mutations and immunogenicity on outcomes of anti-cancer therapies for secondary lesions

Elena Piretto, Marcello Delitala, Peter S. Kim +1

Cancer development is driven by mutations and selective forces, including the action of the immune system and interspecific competition. When administered to patients, anti-cancer…

math.DS201912 cited

Adult sex ratio as an index for male strategy in primates

D. Rose, K. Hawkes, P. S. Kim

The adult sex ratio (ASR) is defined as the number of fertile males divided by the number of fertile females in a population. We build an ODE model with minimal age structure, in w…