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T1  - Stability analysis of a state-dependent delay differential equation for cell maturation : analytical and numerical methods 
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UR  - http://hdl.handle.net/10138/304334 
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A1  - Getto, Philipp; Gyllenberg, Mats; Nakata, Yukihiko; Scarabel, Francesca 
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Y1  - 2019 
LA  - eng 
AB  - We consider a mathematical model describing the maturation process of stem cells up to fully mature cells. The model is formulated as a differential equation with state-dependent delay, where maturity is described as a continuous variable. The maturation rate of cells may be regulated by the amount of mature cells and, moreover, it may depend on cell maturity: we investigate how the stability of equilibria is affected by the choice of the maturation rate. We show that the principle of linearised... 
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KW  - Characteristic equation; Pseudospectral; Linearised stability; Threshold-type delay; Stem cell; Progenitor phase; STRUCTURED POPULATION-MODELS; BIFURCATION-ANALYSIS; STEM-CELLS; SELF-RENEWAL; DYNAMICS; OSCILLATIONS; GENERATION; MATCONT; CYCLES; 111 Mathematics 
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