Mathematical analysis on a multidimensional model of morphogen transport with receptor synthesis

DOI10.1142/S179352451450051XzbMath1302.92039OpenAlexW295417241MaRDI QIDQ2933549

Xiaoqing Wen, Tianshou Zhou, Xiao-Yong Xiao, Hong-Wei Yin

Publication date: 3 December 2014

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s179352451450051x

zbMATH Keywords

well-posednessmorphogen transportendocytosisreceptor synthesis

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Developmental biology, pattern formation (92C15) Applications of operator theory in chemistry and life sciences (47N60)

Cites Work

• Unnamed Item
• Well-posedness and asymptotic behavior a multidimensional model of morphogen transport
• Robustness of signaling gradient in drosophila wing imaginal disc
• Internalization and end flux in morphogen gradient formation
• Mathematical analysis of a model of morphogenesis
• Mathematical model of the formation of morphogen gradients through membrane-associated non-receptors
• Semigroups of linear operators and applications to partial differential equations
• Robustness of morphogen gradients with ``bucket brigade transport through membrane-associated non-receptors
• Membrane-associated non-receptors and morphogen gradients
• MATHEMATICAL MODELS OF RECEPTOR-MEDIATED TRANSPORT OF MORPHOGENS
• Well-Posedness and Convergence to the Steady State for a Model of Morphogen Transport

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