--- res: bibo_abstract: - Tumor growth is caused by the acquisition of driver mutations, which enhance the net reproductive rate of cells. Driver mutations may increase cell division, reduce cell death, or allow cells to overcome density-limiting effects. We study the dynamics of tumor growth as one additional driver mutation is acquired. Our models are based on two-type branching processes that terminate in either tumor disappearance or tumor detection. In our first model, both cell types grow exponentially, with a faster rate for cells carrying the additional driver. We find that the additional driver mutation does not affect the survival probability of the lesion, but can substantially reduce the time to reach the detectable size if the lesion is slow growing. In our second model, cells lacking the additional driver cannot exceed a fixed carrying capacity, due to density limitations. In this case, the time to detection depends strongly on this carrying capacity. Our model provides a quantitative framework for studying tumor dynamics during different stages of progression. We observe that early, small lesions need additional drivers, while late stage metastases are only marginally affected by them. These results help to explain why additional driver mutations are typically not detected in fast-growing metastases.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Johannes foaf_name: Reiter, Johannes foaf_surname: Reiter foaf_workInfoHomepage: http://www.librecat.org/personId=4A918E98-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0002-0170-7353 - foaf_Person: foaf_givenName: Ivana foaf_name: Božić, Ivana foaf_surname: Božić - foaf_Person: foaf_givenName: Benjamin foaf_name: Allen, Benjamin foaf_surname: Allen foaf_workInfoHomepage: http://www.librecat.org/personId=135B5B70-E9D2-11E9-BD74-BB415DA2B523 - foaf_Person: foaf_givenName: Krishnendu foaf_name: Chatterjee, Krishnendu foaf_surname: Chatterjee foaf_workInfoHomepage: http://www.librecat.org/personId=2E5DCA20-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0002-4561-241X - foaf_Person: foaf_givenName: Martin foaf_name: Nowak, Martin foaf_surname: Nowak bibo_doi: 10.1111/eva.12020 bibo_issue: '1' bibo_volume: 6 dct_date: 2013^xs_gYear dct_language: eng dct_publisher: Wiley-Blackwell@ dct_title: The effect of one additional driver mutation on tumor progression@ ...