Influences of Allee effects in the spreading of malignant tumours
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- 作者：Lotte Sewalta ; lotte@math.leidenuniv.nl" class="auth_mail" title="E-mail the corresponding author ; Kristen Harleyb ; Peter van Heijsterb ; Sanjeeva Balasuriyac
- 关键词：Malignant tumour model ; Allee effects ; Travelling wave solutions ; Geometric singular perturbation theory ; Canard theory
- 刊名：Journal of Theoretical Biology
- 出版年：2016
- 出版时间：7 April 2016
- 年：2016
- 卷：394
- 期：Complete
- 页码：77-92
- 全文大小：3790 K
文摘
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We introduce one of the first mathematical models of tumour invasion with growth thresholds.
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Only biologically relevant travelling wave fronts exist, opposing earlier models.
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Experimental observations in tumour spread are uncovered in our model.
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We show the relevance of incorporating the Allee effect in tumour spread.