TY -
T1 - Stability analysis of a state-dependent delay differential equation for cell maturation : analytical and numerical methods
SN - /
UR - http://hdl.handle.net/10138/304334
T3 -
A1 - Getto, Philipp; Gyllenberg, Mats; Nakata, Yukihiko; Scarabel, Francesca
A2 -
PB -
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...
VO -
IS -
SP -
OP -
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
N1 -
PP -
ER -