Mathematical modelling of adult hippocampal neurogenesis: effects of altered stem cell dynamics on cell counts and bromodeoxyuridine-labelled cells by.

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Mathematical modelling of adult hippocampal neurogenesis: effects of altered stem cell dynamics on cell counts and bromodeoxyuridine-labelled cells by Frederik Ziebell, Ana Martin-Villalba, and Anna Marciniak-Czochra Interface Volume 11(94): May 6, 2014 ©2014 by The Royal Society

Proliferation diagram of a stem cell. Frederik Ziebell et al. J. R. Soc. Interface 2014;11: ©2014 by The Royal Society

Graphical representation of the analysed knockout (KO) scenarios. Frederik Ziebell et al. J. R. Soc. Interface 2014;11: ©2014 by The Royal Society

Simulated responses to an infinitesimal increase in stem cells fraction of self-renewal a1 of the number of stem cells (c1), progenitors (c2), BrdU incorporating stem cells and BrdU incorporating progenitors respectively, at time t after the increase. Frederik Ziebell et al. J. R. Soc. Interface 2014;11: ©2014 by The Royal Society

Simulated responses to an infinitesimal increase in stem cells proliferation rate p1 of the number of stem cells (c1), progenitors (c2), BrdU incorporating stem cells and BrdU incorporating progenitors respectively, at time t after the increase. Frederik Ziebell et al. J. R. Soc. Interface 2014;11: ©2014 by The Royal Society

Simulated responses to an infinitesimal increase in stem cells division probability θ1 of the number of stem cells (c1), progenitors (c2), BrdU incorporating stem cells and BrdU incorporating progenitors respectively, at time t after the increase. Frederik Ziebell et al. J. R. Soc. Interface 2014;11: ©2014 by The Royal Society

Fitting model (2.1) to the number of stem cells and the ratio of the number of stem cells to the number of progenitors in [3, electronic supplementary material, table S2] results in a poor agreement with the number of progenitors. Frederik Ziebell et al. J. R. Soc. Interface 2014;11: ©2014 by The Royal Society

Fitting model (2.1) to the number of stem cells and the number of progenitors in [3, electronic supplementary material, table S2] results in a poor agreement with the ratio of the number of stem cells to the number of progenitors. Frederik Ziebell et al. J. R. Soc. Interface 2014;11: ©2014 by The Royal Society

Responses to an infinitesimal increase in stem cells fraction of self-renewal and proliferation rate, respectively, on the number of neurons. Frederik Ziebell et al. J. R. Soc. Interface 2014;11: ©2014 by The Royal Society

Effect of an infinitesimally increased stem cell self-renewal on BrdU-labelled stem cells, progenitors and neurons at time τ after BrdU-labelling, where BrdU was given at time t = 0 (a), t = 1 (b) and t = 4 (c). Frederik Ziebell et al. J. R. Soc. Interface 2014;11: ©2014 by The Royal Society

Effect of an infinitesimally increased stem cell proliferation rate on BrdU-labelled stem cells, progenitors and neurons at time τ after BrdU-labelling, where BrdU was given at time t = 0 (a), t = 5.5 (b) and t = 10 (c). Frederik Ziebell et al. J. R. Soc. Interface 2014;11: ©2014 by The Royal Society