In this paper we present a hybrid mathematical model of the invasion of healthy tissue by a solid tumour. In particular we consider early vascular growth, just after angiogenesis has occurred. We examine how the geometry of the growing tumour is affected by tumour cell heterogeneity caused by genetic mutations. As the tumour grows, mutations…
Mathematical Medicine and Biology A Journal of the IMA Template
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About the Mathematical Medicine and Biology A Journal of the IMA format
Mathematical Medicine and Biology A Journal of the IMA is a peer-reviewed journal published by Oxford University Press, covering Mathematical and Theoretical Epidemiology and Ecology Models, Mathematical Biology Tumor Growth, COVID-19 epidemiological studies.
| Publisher | Oxford University Press |
|---|---|
| Reference style | Author–year (OUP) Author–year — (Smith, 2023) in the text Smith, A., Jones, B. and Lee, C. (2023) 'A representative article title', Mathematical Medicine and Biology A Journal of the IMA, 12(3), pp. 45–58.
Formats any DOI in the closest standard style — Mathematical Medicine and Biology A Journal of the IMA has no published style definition, so this is an approximation. No sign-up. |
| Publishes research in | Mathematical and Theoretical Epidemiology and Ecology Models Mathematical Biology Tumor Growth COVID-19 epidemiological studies Evolution and Genetic Dynamics Diverse Scientific and Economic Studies |
| ISSN | 1477-8599 |
| Citation impact (2-yr) | 1.53 |
| h-index | 67 |
| i10-index | 448 |
| Total citations | 22,560 |
| Top institutions publishing here | University of Oxford |
| Journal website | imammb.oxfordjournals.org |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Papers published in Mathematical Medicine and Biology A Journal of the IMA per year
Citation impact of Mathematical Medicine and Biology A Journal of the IMA by publication year
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Most-cited papers in Mathematical Medicine and Biology A Journal of the IMA
The paper describes some preliminary attempts to formulate simple mathematical models of the transmission dynamics of HIV infection in homosexual communities. In conjunction with a survey of the available epidemiological data on HIV infection and the incidence of AIDS, the models are used to assess how various processes influence the course of the initial epidemic…
An infection like measles does not spread uniformly in populations from Europe and North America. Of special importance is a pronounced age-dependency in the contact rates, because of increased infection transmission within schools. Therefore an age-structured epidemiologic model is investigated here, which also pays attention to the fact that children are promoted grade-wise into and…
In this paper the theory of mixtures is used to develop a two-phase model of an avascular tumour, which comprises a solid, cellular, phase and a liquid phase. Mass and momentum balances which are used to derive the governing equations are supplemented by constitutive laws that distinguish the two phases and enable the stresses within…
Uncontrolled proliferation and abnormal cell migration are two of the main characteristics of tumour growth. Of ultimate importance is the question what are the mechanisms that trigger the progression from benign neoplasms (uncontrolled/autonomous proliferation) to malignant invasive tumours (high migration). In the following, we challenge the currently prevailing view that the emergence of invasiveness is…