---
_id: '2858'
abstract:
- lang: eng
  text: 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.
article_processing_charge: No
author:
- first_name: Johannes
  full_name: Reiter, Johannes
  id: 4A918E98-F248-11E8-B48F-1D18A9856A87
  last_name: Reiter
  orcid: 0000-0002-0170-7353
- first_name: Ivana
  full_name: Božić, Ivana
  last_name: Božić
- first_name: Benjamin
  full_name: Allen, Benjamin
  id: 135B5B70-E9D2-11E9-BD74-BB415DA2B523
  last_name: Allen
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Martin
  full_name: Nowak, Martin
  last_name: Nowak
citation:
  ama: Reiter J, Božić I, Allen B, Chatterjee K, Nowak M. The effect of one additional
    driver mutation on tumor progression. <i>Evolutionary Applications</i>. 2013;6(1):34-45.
    doi:<a href="https://doi.org/10.1111/eva.12020">10.1111/eva.12020</a>
  apa: Reiter, J., Božić, I., Allen, B., Chatterjee, K., &#38; Nowak, M. (2013). The
    effect of one additional driver mutation on tumor progression. <i>Evolutionary
    Applications</i>. Wiley-Blackwell. <a href="https://doi.org/10.1111/eva.12020">https://doi.org/10.1111/eva.12020</a>
  chicago: Reiter, Johannes, Ivana Božić, Benjamin Allen, Krishnendu Chatterjee, and
    Martin Nowak. “The Effect of One Additional Driver Mutation on Tumor Progression.”
    <i>Evolutionary Applications</i>. Wiley-Blackwell, 2013. <a href="https://doi.org/10.1111/eva.12020">https://doi.org/10.1111/eva.12020</a>.
  ieee: J. Reiter, I. Božić, B. Allen, K. Chatterjee, and M. Nowak, “The effect of
    one additional driver mutation on tumor progression,” <i>Evolutionary Applications</i>,
    vol. 6, no. 1. Wiley-Blackwell, pp. 34–45, 2013.
  ista: Reiter J, Božić I, Allen B, Chatterjee K, Nowak M. 2013. The effect of one
    additional driver mutation on tumor progression. Evolutionary Applications. 6(1),
    34–45.
  mla: Reiter, Johannes, et al. “The Effect of One Additional Driver Mutation on Tumor
    Progression.” <i>Evolutionary Applications</i>, vol. 6, no. 1, Wiley-Blackwell,
    2013, pp. 34–45, doi:<a href="https://doi.org/10.1111/eva.12020">10.1111/eva.12020</a>.
  short: J. Reiter, I. Božić, B. Allen, K. Chatterjee, M. Nowak, Evolutionary Applications
    6 (2013) 34–45.
corr_author: '1'
date_created: 2018-12-11T11:59:58Z
date_published: 2013-01-01T00:00:00Z
date_updated: 2025-09-29T13:38:52Z
day: '01'
ddc:
- '570'
department:
- _id: KrCh
doi: 10.1111/eva.12020
ec_funded: 1
external_id:
  isi:
  - '000313878800004'
file:
- access_level: open_access
  checksum: e2955b3889f8a823c3d5a72cb16f8957
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:15:50Z
  date_updated: 2020-07-14T12:45:51Z
  file_id: '5173'
  file_name: IST-2016-415-v1+1_Reiter_et_al-2013-Evolutionary_Applications.pdf
  file_size: 1172037
  relation: main_file
file_date_updated: 2020-07-14T12:45:51Z
has_accepted_license: '1'
intvolume: '         6'
isi: 1
issue: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 34 - 45
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
publication: Evolutionary Applications
publication_status: published
publisher: Wiley-Blackwell
publist_id: '3931'
pubrep_id: '415'
quality_controlled: '1'
related_material:
  record:
  - id: '1400'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: The effect of one additional driver mutation on tumor progression
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 6
year: '2013'
...