A deterministic model of growth factor-induced angiogenesis

  • Shuyu Sun
  • Mary F. Wheeler
  • Mandri Obeyesekere
  • Charles W. PatrickJr.Email author


Understanding the formation and structure of a capillary network is critical for any reparative strategy since the capillary network dictates tissue survival, hemodynamics, and mass transport. Vascular assembly and patterning has largely been studied using a reductionist approach where a particular endothelial cell molecular pathway or cellular mechanism is investigated as a relatively closed system. This trend of research has yielded a staggering wealth of genes, proteins, and cells that play critical roles in angiogenesis and some have resulted in successful targeted angiogenic therapies. However, these genes, proteins, and cells do not exist in discrete closed systems, rather they are intimately coupled across spatial and temporal dimensions. Designing experiments to study a single or group of perturbations is fraught with confounding complications. An integrative tool is required that incorporates gene, protein, and cell information and appropriately describes the complex systems behavior of vascular assembly and patterning.


Extracellular Matrix Mathematical Biology Dendritic Structure Capillary Network Parent Vessel 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Society for Mathematical Biology 2005

Authors and Affiliations

  • Shuyu Sun
    • 1
  • Mary F. Wheeler
    • 1
    • 2
    • 3
    • 4
  • Mandri Obeyesekere
    • 5
    • 6
  • Charles W. PatrickJr.
    • 7
    • 6
    Email author
  1. 1.The Institute for Computational Engineering and SciencesThe University of Texas at AustinAustinUSA
  2. 2.Department of Aerospace Engineering and Engineering MechanicsThe University of Texas at AustinAustinUSA
  3. 3.Department of Petroleum and Geosystems EngineeringThe University of Texas at AustinAustinUSA
  4. 4.Department of MathematicsThe University of Texas at AustinAustinUSA
  5. 5.Department of Biostatistics & Applied MathematicsThe University of Texas M. D. Anderson Cancer CenterHoustonUSA
  6. 6.The University of Texas Center for Biomedical EngineeringHoustonUSA
  7. 7.Laboratory of Reparative Biology & Bioengineering, Department of Plastic SurgeryThe University of Texas M. D. Anderson Cancer CenterHoustonUSA

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