Angiogenesis in bone fracture healing: a bioregulatory model

DOI10.1016/j.jtbi.2007.11.008zbMath1397.92126OpenAlexW1979137563WikidataQ40141214 ScholiaQ40141214MaRDI QIDQ1788636

Liesbet Geris, Rüdiger Weiner, Jos Vander Sloten, Hans Van Oosterwyck, Alf Gerisch

Publication date: 8 October 2018

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2007.11.008

zbMATH Keywords

angiogenesismathematical modelbone regenerationcell migrationfracture healing

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Physiology (general) (92C30) Developmental biology, pattern formation (92C15) Cell movement (chemotaxis, etc.) (92C17)

Related Items (9)

Evolution of bone tissue based on angiogenesis as a crucial factor: New mathematical attempt ⋮ Bone ingrowth on the surface of endosseous implants. I: Mathematical model ⋮ Analysis of a finite volume method for a bone growth system in vivo ⋮ Biomechanical model and numerical analysis of tissue regeneration within a porous scaffold ⋮ A combined FIC-TDG finite element approach for the numerical solution of coupled advection-diffusion-reaction equations with application to a bioregulatory model for bone fracture healing ⋮ Macroscopic models for fibroproliferative disorders: a review ⋮ An intramembranous ossification model for the \textit{in silico} analysis of bone tissue formation in tooth extraction sites ⋮ An Efficient Model For Scaffold Mediated Bone Regeneration ⋮ Oxygen as a critical determinant of bone fracture healing -- A multiscale model

Uses Software

• ROWMAP

Cites Work

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• Cell directional and chemotaxis in vascular morphogenesis
• A stochastic model for adhesion-mediated cell random motility and haptotaxis
• Continuous and discrete mathematical models of tumor-induced angiogenesis
• Chemotaxis and chemokinesis in eukaryotic cells: The Keller-Segel equations as an approximation to a detailed model
• ROWMAP -- a ROW-code with Krylov techniques for large stiff ODEs
• Influence of fracture gap size on the pattern of long bone healing: a computational study
• Robust numerical methods for taxis-diffusion-reaction systems: applications to biomedical problems

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