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math.DS2020
Local asymptotic stability of a system of integro-differential equations describing clonal evolution of a self-renewing cell population under mutation
Jan-Erik Busse, Silvia Cuadrado, Anna Marciniak-Czochra
In this paper we consider a system of non-linear integro-differential equations (IDEs) describing evolution of a clonally heterogeneous population of malignant white blood cells (l…
math.DS2018
Oscillations in a white blood cell production model with multiple differentiation stages
Franziska Knauer, Thomas Stiehl, Anna Marciniak-Czochra
In this work we prove occurrence of a super-critical Hopf bifurcation in a model of white blood cell formation structured by three maturation stages. We provide an explicit analyti…