Theoretical investigation of the role of the RANK–RANKL–OPG system in bone remodeling

Pivonka, Peter; Zimak, Jan; Smith, David W.; Gardiner, Bruce S.; Dunstan, Colin R.; Sims, Natalie A.; Martın, Thomas; Mundy, Gregory R.

doi:10.1016/j.jtbi.2009.09.021

Cited by 102 publications

(113 citation statements)

References 23 publications

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“…In this section we give a summary of the bone cell population models developed by our group (Pivonka, Zimak et al 2008;Pivonka, Zimak et al 2010;Buenzli, Pivonka et al 2012). The presented model takes into account the RANK-RANKL-OPG signalling pathway between bone cells, the action of TGF-on different types of bone cells and pre-osteoblast proliferation.…”

Section: Bone Cell Population Modelmentioning

confidence: 99%

A Systems Approach to Understanding Bone Cell Interactions in Health and Disease

Pivonka¹,

Buenzli²,

Dunst³

2012

Cell Interaction

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Section: Bone Cell Population Modelmentioning

confidence: 99%

A Systems Approach to Understanding Bone Cell Interactions in Health and Disease

Pivonka¹,

Buenzli²,

Dunst³

2012

Cell Interaction

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“…A close inspection of century-long chemical investigations clearly shows that there is a large variety of compositions, ranging all the way from (almost) unmineralized osteoid in early deposition stages, to tissues consisting mainly of hydroxyapatite [Hammett, 1925;Lees et al, 1995]. To somehow simplify this truly complicated matter, one might hope for general inherent 'rules', quantifying natural relationships between constituent concentrations stemming from the sophistically orchestrated activity of biological cells, hormones, and growth factors [Lemaire et al, 2004;Gajjeraman et al, 2007;Filvaroff and Derynck, 1998;Pivonka et al, 2010]. RECALLING, FROM [RIEDL, 1978] ULM, 2003;HÖHLING, 1969;LANDIS ET AL., 1996]].…”

Section: Introductionmentioning

confidence: 99%

Bone fibrillogenesis and mineralization: Quantitative analysis and implications for tissue elasticity

Vuong

Hellmich

2011

Journal of Theoretical Biology

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Data from bone drying, demineralization, and deorganification tests, collected over a time span of more than eighty years, evidence a myriad of different chemical compositions of different bone materials. However, careful analysis of the data, as to extract the chemical concentrations of hydroxyapatite, of water, and of organic material (mainly collagen) in the extracellular bone matrix, reveals an astonishing fact: it appears that there exists a unique bilinear relationship between organic concentration and mineral concentration, across different species, organs, and age groups, from early childhood to OLD AGE: During organ growth, the mineral concentration increases linearly with the organic concentration (which increases during fibrillogenesis), while from adulthood on, further increase of the mineral concentration is accompanied by a decrease in organic concentration. These relationships imply unique mass density-concentration laws for fibrillogenesis and mineralization, which -in combination with micromechanical models -deliver 'universal' mass density-elasticity relationships in extracellular bone matrix -valid across different species, organs, and ages. They turn out as quantitative reflections of the well-instrumented interplay of osteoblasts, osteoclasts, osteocytes, and their precursors, controlling, in a fine-tuned fashion, the chemical genesis and continuous transformation of the extracellular bone matrix. Considerations of the aformentioned rules may strongly affect the potential success of tissue engineering strategies, in particular when translating, via micromechanics, the aformentioned growth and mineralization characteristics into tissue-specific elastic properties.

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“…Lactose operon and its feedback regulation are historically famous in mathematical modeling (Vilar et al, 2003;Wong et al, 1997;Yildirim and Mackey, 2003). Besides the aforementioned classical usages of dynamic modeling in systems biology, many other targets have been dynamically analyzed by mathematical modeling, such as calcium homeostasis (Peterson and Riggs, 2010;Raposo et al, 2002), calcium metabolic changes due to perturbations , specific types of cells including bone cells (Komarova, 2005;Lemaire et al, 2004;Pivonka et al, 2010) and mammary gland cells (Hanigan and Baldwin, 1994), lignin biosynthesis in plants (Faraji et al, 2015;, and population dynamics with consideration of climate (Park et al, 2014;Poutsma et al, 2008;Sutherst and Maywald, 1985).…”

Section: Types Of Analyses In Mechanistic Modelingmentioning

confidence: 99%

“…The interesting point was that they developed differential equations for the action of regulators based on the binding reaction scheme. A similar theoretical model was developed to investigate the role of RANK-RANKL-OPG pathway in detail (Pivonka et al, 2010). In recent years, the models by Lemaire et al (2002) and Pivonka et al (2010) were expanded upon by embedding the insulin-like growth factor I (IGF-1) that had been indicated as an another critical factor for regulating bone cell interactions, particularly during adolescence (Lee and Okos, 2016).…”

Section: Types Of Model Formulationsmentioning

confidence: 99%

A novel approach in analyzing agriculture and food systems: Review of modeling and its applications

Kim¹,

Cho²,

Lee³

2016

Korean Journal of Agricultural Science

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For the past decades, advances in computational devices have propelled mathematical modeling to become an effective tool for solving the black box of complex biological systems because of its prominent analytical power and comprehensive insight. Nevertheless, modeling is still limitedly used in the fields of agriculture and food which generally concentrate on producing experimental data rather than processing them. This study, hence, intends to introduce modeling in terms of its procedure types of structure, formulation, analyses, and software, with reviews of current notable studies from micro to macro scales so as to propose the modeling technique as a novel approach in discerning conundrums in agriculture and food systems. We expect this review to provide an eligible source for researchers who are willing to apply modeling techniques into the unexplored fields related to bio-systems that comprehensively include biology, nutrition, agriculture, food, animal science, and ecology.

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Theoretical investigation of the role of the RANK–RANKL–OPG system in bone remodeling

Cited by 102 publications

References 23 publications

A Systems Approach to Understanding Bone Cell Interactions in Health and Disease

A Systems Approach to Understanding Bone Cell Interactions in Health and Disease

Bone fibrillogenesis and mineralization: Quantitative analysis and implications for tissue elasticity

A novel approach in analyzing agriculture and food systems: Review of modeling and its applications

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