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A size structured model of cell dwarfism. (English) Zbl 0989.92014

Summary: This work is devoted to analyzing the growth of a cell population where cellular development is characterized by cellular size. By size we mean some quantified measure of cellular mass. The issues treated here include: (1) existence and uniqueness of solutions, (2) stability and instability of solutions, and (3) biological interpretation of results.

MSC:

92C37 Cell biology
37C75 Stability theory for smooth dynamical systems
37N25 Dynamical systems in biology
47N60 Applications of operator theory in chemistry and life sciences
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