In order to obtain the fraction of each subpopulation, we define: In the steady state, we have: In order to investigate the stochastic behaviour of the cancer cells in the two-compartment model, the Master equation for the joint probability can be written, and solved computationally. Stochastic simulations are performed using the Gillespie algorithm. of parameters: The estimated parameters for normoxic and hypoxic conditions. *Average value (standard deviation). Condition 0.329(0.07)* 0.416(0.04) 0.245(0.06) 0.026(1e-3) 0.584(0.054) 0.390(0.07) Normoxic Hypoxic 0.369(0.09) 0.372(0.05) 0.259(0.09) 0.004(1e-4) 0.581(0.06) 0.415(0.06) time) Hypoxic 0.369(0.09) 0.372(0.04) 0.259(0.09) 0.059(1e-3) 0.548(0.06) 0.392(0.06) (late time) Supplemental Table S1: Fold-change of gene expression compared to normoxic baseline, as recorded by microarray, for key genes of interest among the cell types/treatments considered. Hypoxia Hypoxia Snail over- Normoxia Day 6 Day 8 expression Gene Name (HR-N) (HR-H6) (HR-H8) (HR-SN)
In order to obtain the fraction of each subpopulation, we define: In the steady state, we have: In order to investigate the stochastic behaviour of the cancer cells in the two-compartment model, the Master equation for the joint probability can be written, and solved computationally. Stochastic simulations are performed using the Gillespie algorithm. of parameters: The estimated parameters for normoxic and hypoxic conditions. *Average value (standard deviation). Condition Normoxic 0.329(0.07)* 0.416(0.04) 0.245(0.06) 0.026(1e-3) 0.584(0.054) 0.390(0.07) Hypoxic time) 0.369(0.09) 0.372(0.05) 0.259(0.09) 0.004(1e-4) 0.581(0.06) 0.415(0.06) Hypoxic (late time) 0.369(0.09) 0.372(0.04) 0.259(0.09) 0.059(1e-3) 0.548(0.06) 0.392(0.06) Supplemental Table S1: Fold-change of gene expression compared to normoxic baseline, as recorded by microarray, for key genes of interest among the cell types/treatments considered. Gene Name Normoxia (HR-N) Hypoxia Day 6 (HR-H6) Hypoxia Day 8 (HR-H8) Snail over- expression (HR-SN)
srep18074-s1.docx