Global dynamics of two-compartment models for cell production systems with regulatory mechanisms

Mathematical Biosciences

Volumn 245, Issue 2, 2013, Pages 258-268

  Getto, Philipp ^a,b   Marciniak Czochra, Anna ^d   Nakata, Yukihiko ^a,c   Vivanco, Maria dM ^e  

^a BCAM BASQUE CENTER FOR APPLIED MATHEMATICS   (Spain)

^b DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

^c UNIVERSITY OF SZEGED   (Hungary)

^d UNIVERSITY OF HEIDELBERG   (Germany)

^e CIC BIOGUNE   (Spain)

Author keywords

Cell production system; Global stability; Lyapunov function; Regulatory mechanism

Indexed keywords

BIOLOGICAL IMPLICATIONS; CELL PRODUCTION SYSTEM; GLOBAL STABILITY; GLOBAL STABILITY ANALYSIS; GLOBALLY ASYMPTOTICALLY STABLE; MULTI-COMPARTMENT MODELS; REGULATORY FEEDBACK LOOPS; REGULATORY MECHANISM;

CELL PROLIFERATION; STEM CELLS;

LYAPUNOV FUNCTIONS;

FEEDBACK MECHANISM; HIERARCHICAL SYSTEM; HOMEOSTASIS; MODELING;

ARTICLE; CELL DIFFERENTIATION; CELL DIVISION; CELL PRODUCTION SYSTEM; CELL PROLIFERATION; CELL RENEWAL; COMPARTMENT MODEL; FEEDBACK SYSTEM; HEMATOPOIETIC SYSTEM; HOMEOSTASIS; POPULATION DYNAMICS; PROCEDURES CONCERNING CELLS; REGULATORY MECHANISM; SIMULATION; STEM CELL;

CELL PRODUCTION SYSTEM; GLOBAL STABILITY; LYAPUNOV FUNCTION; REGULATORY MECHANISM;

ADULT STEM CELLS; CELL DIFFERENTIATION; CELL PROLIFERATION; COMPUTATIONAL BIOLOGY; FEEDBACK, PHYSIOLOGICAL; HEMATOPOIETIC SYSTEM; HOMEOSTASIS; HUMANS; MATHEMATICAL CONCEPTS; MODELS, BIOLOGICAL; NONLINEAR DYNAMICS;

EID: 84884155218     PISSN: 00255564     EISSN: 18793134     Source Type: Journal    
DOI: 10.1016/j.mbs.2013.07.006     Document Type: Article

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