Stochastic Modeling of Cellular Cooperation
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Home > Mathematics and Science Textbooks > Mathematics > Stochastic Modeling of Cellular Cooperation: Applications to Cancer and Evolution.
Stochastic Modeling of Cellular Cooperation: Applications to Cancer and Evolution.

Stochastic Modeling of Cellular Cooperation: Applications to Cancer and Evolution.


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About the Book

Cooperation in biology is a well-known enigma. It is in an individual cell's best interest to behave selfishly, but it is in a collection of cells' best interest if each cell cooperates. We explore aspects of cooperative behavior in the context of cellular systems. We concentrate on spatial aspects of cooperation and study how spatial restrictions effect colony survival. We examine three stochastic models through numerical simulation along with analytic methods. In our first model, we explore the impact of cheaters on a cooperative network of cells. We observe that strict spatial constraints impede harmful effects of cheaters. We note that a similar result was previously observed, by M. Nowak et al, albeit in a different system [13, 12]. We explored an application of our modeling approach to cooperating yeast specifically engineered to demonstrate effects of cooperation [14]. We explored the effects of the presence of cheaters in such a system and found that the viability of colonies depended non-monotonically on the ability of cells to cooperate. This suggests an avenue for further biological experiments. In our last model, we explore cooperative aspects of evolution. We ask the question, "is it more advantageous for cells to acquire each mutation sequentially or to have different cells acquire different mutations and then have them cooperate?" Traditional multi-stage carcinogenesis models depict cancer evolving as a sequence of mutations within each cell. A possible advantage to this evolutionary strategy is that cells are self-sufficient. Possible disadvantageous are that mutations take a long time to occur, and so evolution is very slow. If cells achieve different mutations and then cooperate to form a cancerous phenotype, then they are able to evolve faster. However, they are reliant on others. If one cell type is lost, the whole colony could suffer and so the colony is more prone to stochastic extinction. We found that cooperation speeds up evolution significantly. We also found that the presence of cheaters speeds up evolution even more. This result was surprising because in other contexts cheaters decrease the longevity of a colony.


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Product Details
  • ISBN-13: 9781244667105
  • Publisher: Proquest, Umi Dissertation Publishing
  • Publisher Imprint: Proquest, Umi Dissertation Publishing
  • Height: 254 mm
  • Sub Title: Applications to Cancer and Evolution.
  • Width: 203 mm
  • ISBN-10: 1244667102
  • Publisher Date: 01 Sep 2011
  • Binding: Paperback
  • Spine Width: 8 mm
  • Weight: 245 gr


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