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Literature DB >> 26430352

Spatial Moran Models I. Stochastic Tunneling in the Neutral Case.

Abstract

We consider a multistage cancer model in which cells are arranged in a d-dimensional integer lattice. Starting with all wild-type cells, we prove results about the distribution of the first time when two neutral mutations have accumulated in some cell in dimensions d ≥ 2, extending work done by Komarova [12] for d = 1.

Entities: Disease Gene Species

Keywords: biased voter model; cancer progression; stochastic tunneling

Year: 2015 PMID： 26430352 PMCID： PMC4587779 DOI： 10.1214/13-AAP989

Source DB: PubMed Journal: Ann Appl Probab Impact factor: 1.872

8 in total

1. Population genetics of tumor suppressor genes.

Authors: Yoh Iwasa; Franziska Michor; Natalia L Komarova; Martin A Nowak
Journal: J Theor Biol Date: 2004-11-25 Impact factor: 2.691

2. Stochastic model for abnormal clone spread through epithelial basal layer.

Authors: T Williams; R Bjerknes
Journal: Nature Date: 1972-03-03 Impact factor: 49.962

3. Spatial stochastic models for cancer initiation and progression.

Authors: Natalia L Komarova
Journal: Bull Math Biol Date: 2006-10 Impact factor: 1.758

4. Stochastic tunnels in evolutionary dynamics.

Authors: Yoh Iwasa; Franziska Michor; Martin A Nowak
Journal: Genetics Date: 2004-03 Impact factor: 4.562

5. Evolutionary dynamics of tumor suppressor gene inactivation.

Authors: Martin A Nowak; Franziska Michor; Natalia L Komarova; Yoh Iwasa
Journal: Proc Natl Acad Sci U S A Date: 2004-07-13 Impact factor: 11.205

6. The role of chromosomal instability in tumor initiation.

Authors: Martin A Nowak; Natalia L Komarova; Anirvan Sengupta; Prasad V Jallepalli; Ie-Ming Shih; Bert Vogelstein; Christoph Lengauer
Journal: Proc Natl Acad Sci U S A Date: 2002-11-21 Impact factor: 11.205

7. Mutation-selection networks of cancer initiation: tumor suppressor genes and chromosomal instability.

Authors: Natalia L Komarova; Anirvan Sengupta; Martin A Nowak
Journal: J Theor Biol Date: 2003-08-21 Impact factor: 2.691

8. Waiting for two mutations: with applications to regulatory sequence evolution and the limits of Darwinian evolution.

Authors: Rick Durrett; Deena Schmidt
Journal: Genetics Date: 2008-09-14 Impact factor: 4.562

8 in total

10 in total

1. Complex role of space in the crossing of fitness valleys by asexual populations.

Authors: Natalia L Komarova; Leili Shahriyari; Dominik Wodarz
Journal: J R Soc Interface Date: 2014-03-26 Impact factor: 4.118

2. Passenger mutations can accelerate tumour suppressor gene inactivation in cancer evolution.

Authors: Dominik Wodarz; Alan C Newell; Natalia L Komarova
Journal: J R Soc Interface Date: 2018-06 Impact factor: 4.118

3. Spatial Measures of Genetic Heterogeneity During Carcinogenesis.

Authors: K Storey; M D Ryser; K Leder; J Foo
Journal: Bull Math Biol Date: 2016-11-30 Impact factor: 1.758

4. Quantifying the Dynamics of Field Cancerization in Tobacco-Related Head and Neck Cancer: A Multiscale Modeling Approach.

Authors: Marc D Ryser; Walter T Lee; Neal E Ready; Kevin Z Leder; Jasmine Foo
Journal: Cancer Res Date: 2016-10-20 Impact factor: 12.701

Spatial Moran Models I. Stochastic Tunneling in the Neutral Case.

1. Population genetics of tumor suppressor genes.

2. Stochastic model for abnormal clone spread through epithelial basal layer.

3. Spatial stochastic models for cancer initiation and progression.

4. Stochastic tunnels in evolutionary dynamics.

5. Evolutionary dynamics of tumor suppressor gene inactivation.

6. The role of chromosomal instability in tumor initiation.

7. Mutation-selection networks of cancer initiation: tumor suppressor genes and chromosomal instability.

8. Waiting for two mutations: with applications to regulatory sequence evolution and the limits of Darwinian evolution.

1. Complex role of space in the crossing of fitness valleys by asexual populations.

2. Passenger mutations can accelerate tumour suppressor gene inactivation in cancer evolution.

3. Spatial Measures of Genetic Heterogeneity During Carcinogenesis.

4. Quantifying the Dynamics of Field Cancerization in Tobacco-Related Head and Neck Cancer: A Multiscale Modeling Approach.

5. Moran Model of Spatial Alignment in Microbial Colonies.

6. An exactly solvable, spatial model of mutation accumulation in cancer.

7. The effect of spatial randomness on the average fixation time of mutants.

8. Emergent spatiotemporal population dynamics with cell-length control of synthetic microbial consortia.

9. Modeling age-specific incidence of colon cancer via niche competition.

10. Patterns of Tumor Progression Predict Small and Tissue-Specific Tumor-Originating Niches.