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Mathematical models of immune-induced cancer dormancy and the emergence of immune evasion by Kathleen P. Wilkie, and Philip Hahnfeldt Interface Focus Volume 3(4):20130010 August 6, 2013 ©2013 by The Royal Society

Mathematical models of immune-induced cancer dormancy and the emergence of immune evasion by Kathleen P. Wilkie, and Philip Hahnfeldt Interface Focus Volume

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Page 1: Mathematical models of immune-induced cancer dormancy and the emergence of immune evasion by Kathleen P. Wilkie, and Philip Hahnfeldt Interface Focus Volume

Mathematical models of immune-induced cancer dormancy and the emergence of immune evasion

by Kathleen P. Wilkie, and Philip Hahnfeldt

Interface FocusVolume 3(4):20130010

August 6, 2013

©2013 by The Royal Society

Page 2: Mathematical models of immune-induced cancer dormancy and the emergence of immune evasion by Kathleen P. Wilkie, and Philip Hahnfeldt Interface Focus Volume

Immune cytotoxicity assay data and model fits for predation decay after 0, 35, 60, 90, 120 or 365 days in dormancy.

Kathleen P. Wilkie, and Philip Hahnfeldt Interface Focus 2013;3:20130010

©2013 by The Royal Society

Page 3: Mathematical models of immune-induced cancer dormancy and the emergence of immune evasion by Kathleen P. Wilkie, and Philip Hahnfeldt Interface Focus Volume

Bifurcation diagrams and bifurcation phase portrait for the cancer–immune dormant state.

Kathleen P. Wilkie, and Philip Hahnfeldt Interface Focus 2013;3:20130010

©2013 by The Royal Society

Page 4: Mathematical models of immune-induced cancer dormancy and the emergence of immune evasion by Kathleen P. Wilkie, and Philip Hahnfeldt Interface Focus Volume

Simulations of immune-mediated tumour dormancy assuming the three fits to predation decay.

Kathleen P. Wilkie, and Philip Hahnfeldt Interface Focus 2013;3:20130010

©2013 by The Royal Society

Page 5: Mathematical models of immune-induced cancer dormancy and the emergence of immune evasion by Kathleen P. Wilkie, and Philip Hahnfeldt Interface Focus Volume

Population growth curves assuming the three fits in predation decay and that the immune response is limited.

Kathleen P. Wilkie, and Philip Hahnfeldt Interface Focus 2013;3:20130010

©2013 by The Royal Society

Page 6: Mathematical models of immune-induced cancer dormancy and the emergence of immune evasion by Kathleen P. Wilkie, and Philip Hahnfeldt Interface Focus Volume

Simulations of immune-mediated tumour dormancy assuming the three fits for decay are applied to the recruitment potential while the predation strength is constant.

Kathleen P. Wilkie, and Philip Hahnfeldt Interface Focus 2013;3:20130010

©2013 by The Royal Society

Page 7: Mathematical models of immune-induced cancer dormancy and the emergence of immune evasion by Kathleen P. Wilkie, and Philip Hahnfeldt Interface Focus Volume

Simulations of immune-mediated tumour dormancy assuming the three fits for decay are applied to both the predation strength and the recruitment potential.

Kathleen P. Wilkie, and Philip Hahnfeldt Interface Focus 2013;3:20130010

©2013 by The Royal Society

Page 8: Mathematical models of immune-induced cancer dormancy and the emergence of immune evasion by Kathleen P. Wilkie, and Philip Hahnfeldt Interface Focus Volume

The transition of a heterogeneous cancer population to a mostly homogeneous but resistant population can explain the observed decline in predation efficacy.

Kathleen P. Wilkie, and Philip Hahnfeldt Interface Focus 2013;3:20130010

©2013 by The Royal Society