Math Model for Cancer Micro Env Model

A micro-environmental mode of carcinogenesis Xu Zhou Max Planck Institute for Complex Physics SEMINAR "Principles of cancer development“, November 10, 2008

What causes Cancer? – cellular view ,[object Object],[object Object],[object Object]

What microenvironment is important? ,[object Object],[object Object],[object Object],“ The tumour microenvironment—Introduction”, Seminars in Cancer Biology , 12, 2, 87-155, (2002)

What causes Cancer? – Environmental view ,[object Object],[object Object],“ Tumour microenvironment: No changes necessary”, Nature Reviews Cancer 8 , 324 – 325, (2008)

Cancer develops with the change of its microenvironment ,[object Object],[object Object],[object Object]

Hypothesis of micro-environment selection model ,[object Object],[object Object],Waddinton’s epigenetic landscape

A warm-up: predator-prey model

Cancer Evolution model (I) ,[object Object],[object Object],[object Object]

Cancer Evolution model (II) ,[object Object],[object Object]

Evolution barriers vs. Cancer mutations

Tumorigenesis vs. Dynamic system evolutions

The good of the Model ,[object Object],[object Object],[object Object]

What’s bad in the model ,[object Object],[object Object],[object Object]

Conclusions ,[object Object],[object Object],[object Object]

Some key questions about cancer ,[object Object],[object Object],[object Object]

Math Model for Cancer Micro Env Model

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Math Model for Cancer Micro Env Model