Branching process models of cancer by Durrett in 2015
citation
contents
1. Multistage theory of cancer
2. Mathematical overview
3. Branching process results
- 3.1 Conditioned branching processes
4. Time for Z0 to reach size M
5. Time until the first type 1
6. Mutation before detection?
7. Accumulation of neutral mutations
8. Properties of the gamma function
9. Growth of \[Z_1(t)\]
10. Moments of \[Z_1(t)\]
11. Luria-Delbruck distributions
- 11.1 Deterministic growth of type 1’s
- 11.2 Lea-Coulson formulation
12. Number of type 1’s at time \[T_M\]
13. Growth of \[Z_k(t)\]
14. Transitions between waves
15. Time to the first type \[k, k \geq 2\]
17. Application: ovarian cancer
18. Application: intratumor heterogeneity