A novel nonlocal partial differential equation model of endothelial progenitor cell cluster formation during the early stages of vasculogenesis

Villa, Chiara; Gerisch, Alf; Chaplain, M. A. J.

doi:10.1016/j.jtbi.2021.110963

Cited by 7 publications

(2 citation statements)

References 114 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…( 2017 ), Villa et al. ( 2022 ). This software, written as a combination of Matlab and Fortran code, is employed for the simulations in this work here.…”

Section: Appendix A: Classical Systemsmentioning

confidence: 99%

Novel Aspects in Pattern Formation Arise from Coupling Turing Reaction–Diffusion and Chemotaxis

Fraga Delfino Kunz,

Gerisch,

Glover

et al. 2023

Bull Math Biol

Self Cite

View full text Add to dashboard Cite

Recent experimental studies on primary hair follicle formation and feather bud morphogenesis indicate a coupling between Turing-type diffusion driven instability and chemotactic patterning. Inspired by these findings we develop and analyse a mathematical model that couples chemotaxis to a reaction–diffusion system exhibiting diffusion–driven (Turing) instability. While both systems, reaction–diffusion systems and chemotaxis, can independently generate spatial patterns, we were interested in how the coupling impacts the stability of the system, parameter region for patterning, pattern geometry, as well as the dynamics of pattern formation. We conduct a classical linear stability analysis for different model structures, and confirm our results by numerical analysis of the system. Our results show that the coupling generally increases the robustness of the patterning process by enlarging the pattern region in the parameter space. Concerning time scale and pattern regularity, we find that an increase in the chemosensitivity can speed up the patterning process for parameters inside and outside of the Turing space, but generally reduces spatial regularity of the pattern. Interestingly, our analysis indicates that pattern formation can also occur when neither the Turing nor the chemotaxis system can independently generate pattern. On the other hand, for some parameter settings, the coupling of the two processes can extinguish the pattern formation, rather than reinforce it. These theoretical findings can be used to corroborate the biological findings on morphogenesis and guide future experimental studies. From a mathematical point of view, this work sheds a light on coupling classical pattern formation systems from the parameter space perspective.

show abstract

“…( 2017 ), Villa et al. ( 2022 ). This software, written as a combination of Matlab and Fortran code, is employed for the simulations in this work here.…”

Section: Appendix A: Classical Systemsmentioning

confidence: 99%

Novel Aspects in Pattern Formation Arise from Coupling Turing Reaction–Diffusion and Chemotaxis

Fraga Delfino Kunz,

Gerisch,

Glover

et al. 2023

Bull Math Biol

Self Cite

View full text Add to dashboard Cite

show abstract

“…Sprouting angiogenesis is the expansion of new blood vessels from pre-existing vasculature where tip cells are stimulated to express proteases, migrate, proliferate, and form new tubes [1,2]. This is distinct from vasculogenesis which is the de novo formation of blood vessels via differentiation of circulating precursor cells, known as angioblasts, to endothelial cells [3,4]. In addition, intussusceptive angiogenesis is distinct from both sprouting angiogenesis and vasculogenesis.…”

Section: Introductionmentioning

confidence: 99%

Challenging the Paradigm: Anti-Inflammatory Interleukins and Angiogenesis

Peluzzo

Autieri

2022

Cells

View full text Add to dashboard Cite

Angiogenesis is a vital biological process, and neovascularization is essential for the development, wound repair, and perfusion of ischemic tissue. Neovascularization and inflammation are independent biological processes that are linked in response to injury and ischemia. While clear that pro-inflammatory factors drive angiogenesis, the role of anti-inflammatory interleukins in angiogenesis remains less defined. An interleukin with anti-inflammatory yet pro-angiogenic effects would hold great promise as a therapeutic modality to treat many disease states where inflammation needs to be limited, but revascularization and reperfusion still need to be supported. As immune modulators, interleukins can polarize macrophages to a pro-angiogenic and reparative phenotype, which indirectly influences angiogenesis. Interleukins could also potentially directly induce angiogenesis by binding and activating its receptor on endothelial cells. Although a great deal of attention is given to the negative effects of pro-inflammatory interleukins, less is described concerning the potential protective effects of anti-inflammatory interleukins on various disease processes. To focus this review, we will consider IL-4, IL-10, IL-13, IL-19, and IL-33 to be anti-inflammatory interleukins, all of which have recognized immunomodulatory effects. This review will summarize current research concerning anti-inflammatory interleukins as potential drivers of direct and indirect angiogenesis, emphasizing their role in future therapeutics.

show abstract

Patterning of nonlocal transport models in biology: The impact of spatial dimension

Jewell,

Krause,

Maini

et al. 2023

Mathematical Biosciences

View full text Add to dashboard Cite

A novel nonlocal partial differential equation model of endothelial progenitor cell cluster formation during the early stages of vasculogenesis

Cited by 7 publications

References 114 publications

Novel Aspects in Pattern Formation Arise from Coupling Turing Reaction–Diffusion and Chemotaxis

Novel Aspects in Pattern Formation Arise from Coupling Turing Reaction–Diffusion and Chemotaxis

Challenging the Paradigm: Anti-Inflammatory Interleukins and Angiogenesis

Patterning of nonlocal transport models in biology: The impact of spatial dimension

Contact Info

Product

Resources

About