Can the growth factors PTHrP, Ihh and VEGF, together regulate the development of a long bone?

Brouwers, J.E.M.; Donkelaar, Corrinus C. van; Sengers, Bram G.; Huiskes, R.

doi:10.1016/j.jbiomech.2005.10.004

Cited by 28 publications

(41 citation statements)

References 51 publications

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“…The approach in this article is similar to that in references [9] and [10] (see also [11] and [13]). In particular, in [9] three signalling molecules (Ihh, PTHrP and VGEF) were considered, although only the first two actually were assumed to operate at the PZ. A time-dependent, nonlinear reaction-diffusion model was considered in [9] and numerically simulated there.…”

Section: Discussion and Concluding Remarksmentioning

confidence: 93%

“…Concerning HZ, uncertainty remains about the validity of the proposed behaviour, since some of the estimates provided in [10] seem to yield unrealistic values. We point out however that our work, which has considerably benefited from [9] and [10], can be considered as a further step in that modelling direction. In particular the mathematical formalism has been further simplified, as to allow for an explicit solution instead of a numerical one (which, as seen in [9], [10] often shows what seem to be spurious oscillations).…”

Section: Discussion and Concluding Remarksmentioning

confidence: 96%

“…In particular, in [9] three signalling molecules (Ihh, PTHrP and VGEF) were considered, although only the first two actually were assumed to operate at the PZ. A time-dependent, nonlinear reaction-diffusion model was considered in [9] and numerically simulated there. In that model, molecule synthesis (described by means of a Hill-type dynamics) plays an important role.…”

Section: Discussion and Concluding Remarksmentioning

confidence: 99%

“…Among them, we should mention [9] and [10] where ReactionDiffusion systems for the interaction among Ihh and PTHrP are postulated. While these articles have provided a basic inspiration for this work, our approach and that followed in [9] and [10] differ in that we have selected a simpler model, for which all parameters can be measured from experimental data with the help of the solutions of the mathematical model itself. Thus no further indirect estimates are required in order to fully discuss the behaviour of solutions, which yield the predicted values for the Ihh and PTHrP concentrations along the Proliferative Zone.…”

Section: The Dynamics Of the Growth Plate: The Ihh/pthrp Regulatory Loopmentioning

confidence: 99%

“…,KK 37+U3 3= += 5= %RQH IURQW [9], [10], [11], [12], [13]). As in those articles, transport of PTHrP and Ihh will be assumed to occur basically by diffusion through the liquid permeating the ECM, and by absorption.…”

Section: The Dynamics Of the Growth Platementioning

confidence: 99%

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On the dynamics of the growth plate in primary ossification

Fasano

Herrero

López

et al. 2010

Journal of Theoretical Biology

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In this work a mathematical model for the interaction of two key signalling molecules in rat tibia ossification is presented and discussed. The molecules under consideration are Indian hedgehog (Ihh) and parathyroid hormone-related peptide (PTHrP). These are known to be major agents in the dynamics of the so-called Growth Plate, where transition from pristine cartilage to advancing bone takes place. Our model consists in a steady-state linear approximation to a Reaction-Diffusion system where only diffusion and absorption mechanisms are retained. Estimates on some system parameters are given, on the basis of the knowledge of a few measurable quantities. This allows for explicitly solving our model, whereupon a discussion on robustness and regulatory properties thereof is provided. In particular, we show that the size of the Proliferative Zone in the Growth Plate is rather insensitive to variations in the flux coefficients for Ihh and PTHrP at their boundaries. Besides, we also show that the model is also insensitive to large changes in the (comparatively small) critical value of the PTHrP concentration which marks the transition form Proliferative to Hyperthropic Regions within the Growth Plate. These results hold irrespective of the particular diffusivities selected for Ihh and PTHrP.

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Section: Discussion and Concluding Remarksmentioning

confidence: 93%

Section: Discussion and Concluding Remarksmentioning

confidence: 96%

Section: Discussion and Concluding Remarksmentioning

confidence: 99%

Section: The Dynamics Of the Growth Plate: The Ihh/pthrp Regulatory Loopmentioning

confidence: 99%

Section: The Dynamics Of the Growth Platementioning

confidence: 99%

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On the dynamics of the growth plate in primary ossification

Fasano

Herrero

López

et al. 2010

Journal of Theoretical Biology

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How do digits emerge? – mathematical models of limb development

Iber

Germann

2014

Birth Defects Research Pt C

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(146)The mechanism that controls digit formation has long intrigued developmental and theoretical biologists, and many different models and mechanisms have been proposed. Here we review models of limb development with a specific focus on digit and long bone formation. Decades of experiments have revealed the basic signalling circuits that control limb development, and recent advances in imaging and molecular technologies provide us with unprecedented spatial detail and a broader view on the regulatory networks. Computational approaches are important to integrate the available information into a consistent framework that will allow us to achieve a deeper level of understanding and that will help with the future planning and interpretation of complex experiments, paving the way to in silico genetics. Previous models of development had to be focused on very few, simple regulatory interactions. Algorithmic developments and increasing computing power now enable the generation and validation of increasingly realistic models that can be used to test old theories and uncover new mechanisms.

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Anatomy, molecular structures, and hyaluronic acid – Gelatin injectable hydrogels as a therapeutic alternative for hyaline cartilage recovery: A review

Vaca‐González,

Culma,

Nova

et al. 2023

J Biomed Mater Res

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Cartilage damage caused by trauma or osteoarthritis is a common joint disease that can increase the social and economic burden in society. Due to its avascular characteristics, the poor migration ability of chondrocytes, and a low number of progenitor cells, the self-healing ability of cartilage defects has been significantly limited. Hydrogels have been developed into one of the most suitable biomaterials for the regeneration of cartilage because of its characteristics such as high-water absorption, biodegradation, porosity, and biocompatibility similar to natural extracellular matrix.Therefore, the present review article presents a conceptual framework that summarizes the anatomical, molecular structure and biochemical properties of hyaline cartilage located in long bones: articular cartilage and growth plate. Moreover, the importance of preparation and application of hyaluronic acidgelatin hydrogels for cartilage tissue engineering are included. Hydrogels possess benefits of stimulating the production of Agc1, Col2α1-IIa, and SOX9, molecules important for the synthesis and composition of the extracellular matrix of cartilage. Accordingly, they are believed to be promising biomaterials of therapeutic alternatives to treat cartilage damage.

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Can the growth factors PTHrP, Ihh and VEGF, together regulate the development of a long bone?

Cited by 28 publications

References 51 publications

On the dynamics of the growth plate in primary ossification

On the dynamics of the growth plate in primary ossification

How do digits emerge? – mathematical models of limb development

Anatomy, molecular structures, and hyaluronic acid – Gelatin injectable hydrogels as a therapeutic alternative for hyaline cartilage recovery: A review

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