Spatial stochastic models of cancer: Fitness, migration, invasion
Cancer progression is driven by genetic and epigenetic events giving rise to heterogeneity of cellphenotypes, and by selection forces that shape the changingcomposition of tumors. The selection forces are dynamic and depend onmany factors. The cells favored by selection are said to be more``fit'...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2013-03-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.761 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590097588944896 |
|---|---|
| author | Natalia L. Komarova |
| author_facet | Natalia L. Komarova |
| author_sort | Natalia L. Komarova |
| collection | DOAJ |
| description | Cancer progression is driven by genetic and epigenetic events giving rise to heterogeneity of cellphenotypes, and by selection forces that shape the changingcomposition of tumors. The selection forces are dynamic and depend onmany factors. The cells favored by selection are said to be more``fit'' than others. They tend to leave more viable offspring andspread through the population. What cellular characteristics makecertain cells more fit than others? What combinations of the mutantcharacteristics and ``background'' characteristics make the mutantcells win the evolutionary competition? In this review we concentrateon two phenotypic characteristics of cells: their reproductivepotential and their motility. We show that migration has a directpositive impact on the ability of a single mutant cell to invade apre-existing colony. Thus, a decrease in the reproductive potentialcan be compensated by an increase in cell migration. We furtherdemonstrate that the neutral ridges (the set of all types with theinvasion probability equal to that of the host cells) remain invariantunder the increase of system size (for large system sizes), thusmaking the invasion probability a universal characteristic of thecells' selection status. We list very general conditions underwhich the optimal phenotype is just one single strategy (thus leadingto a nearly-homogeneous type invading the colony), or a large set ofstrategies that differ by their reproductive potentials and migrationcharacteristics, but have a nearly-equal fitness. In the latter casethe evolutionary competition will result in a highly heterogeneouspopulation. |
| format | Article |
| id | doaj-art-0e27a35638bb4ca4af4a171a740e22f9 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2013-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-0e27a35638bb4ca4af4a171a740e22f92025-01-24T02:26:12ZengAIMS PressMathematical Biosciences and Engineering1551-00182013-03-0110376177510.3934/mbe.2013.10.761Spatial stochastic models of cancer: Fitness, migration, invasionNatalia L. Komarova0Department of Mathematics, University of California Irvine, Irvine CA 92697Cancer progression is driven by genetic and epigenetic events giving rise to heterogeneity of cellphenotypes, and by selection forces that shape the changingcomposition of tumors. The selection forces are dynamic and depend onmany factors. The cells favored by selection are said to be more``fit'' than others. They tend to leave more viable offspring andspread through the population. What cellular characteristics makecertain cells more fit than others? What combinations of the mutantcharacteristics and ``background'' characteristics make the mutantcells win the evolutionary competition? In this review we concentrateon two phenotypic characteristics of cells: their reproductivepotential and their motility. We show that migration has a directpositive impact on the ability of a single mutant cell to invade apre-existing colony. Thus, a decrease in the reproductive potentialcan be compensated by an increase in cell migration. We furtherdemonstrate that the neutral ridges (the set of all types with theinvasion probability equal to that of the host cells) remain invariantunder the increase of system size (for large system sizes), thusmaking the invasion probability a universal characteristic of thecells' selection status. We list very general conditions underwhich the optimal phenotype is just one single strategy (thus leadingto a nearly-homogeneous type invading the colony), or a large set ofstrategies that differ by their reproductive potentials and migrationcharacteristics, but have a nearly-equal fitness. In the latter casethe evolutionary competition will result in a highly heterogeneouspopulation.https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.761spatial cell dynamicsfitnessagent-based modelinglattice modelscellular automatacell motolity. |
| spellingShingle | Natalia L. Komarova Spatial stochastic models of cancer: Fitness, migration, invasion Mathematical Biosciences and Engineering spatial cell dynamics fitness agent-based modeling lattice models cellular automata cell motolity. |
| title | Spatial stochastic models of cancer: Fitness, migration, invasion |
| title_full | Spatial stochastic models of cancer: Fitness, migration, invasion |
| title_fullStr | Spatial stochastic models of cancer: Fitness, migration, invasion |
| title_full_unstemmed | Spatial stochastic models of cancer: Fitness, migration, invasion |
| title_short | Spatial stochastic models of cancer: Fitness, migration, invasion |
| title_sort | spatial stochastic models of cancer fitness migration invasion |
| topic | spatial cell dynamics fitness agent-based modeling lattice models cellular automata cell motolity. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.761 |
| work_keys_str_mv | AT natalialkomarova spatialstochasticmodelsofcancerfitnessmigrationinvasion |