2010
DOI: 10.1016/j.bone.2009.08.053
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A physiologically based mathematical model of integrated calcium homeostasis and bone remodeling

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Cited by 164 publications
(225 citation statements)
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“…Since MATLAB (Mathwork TM , Natick, MA, USA) is suitable for solving differential equations and enables easy coding due to internal functions and useful toolboxes, it was used to solve the model for the short-term dynamics of PTH in response to acute changes in serum Ca (Shrestha et al, 2010). Furthermore, alternative software developed for solving large-scale differential equations such as Berkeley Madonna, developed at the University of California at Berkeley, and Hummod (Biological Simulators, Inc.) for physiological models are available (Peterson and Riggs, 2010;Raposo et al, 2002).…”
Section: (Equation 4)mentioning
confidence: 99%
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“…Since MATLAB (Mathwork TM , Natick, MA, USA) is suitable for solving differential equations and enables easy coding due to internal functions and useful toolboxes, it was used to solve the model for the short-term dynamics of PTH in response to acute changes in serum Ca (Shrestha et al, 2010). Furthermore, alternative software developed for solving large-scale differential equations such as Berkeley Madonna, developed at the University of California at Berkeley, and Hummod (Biological Simulators, Inc.) for physiological models are available (Peterson and Riggs, 2010;Raposo et al, 2002).…”
Section: (Equation 4)mentioning
confidence: 99%
“…Another dynamic model was designed to predict changes in serum Ca in response to PTH action caused by citrate infusion, mimicking perturbations in space flight . The short-term dynamics of PTH in response to acute changes in serum Ca (Shrestha et al, 2010), and a physiology-based model integrating Ca homeostasis and bone remodeling (Peterson and Riggs, 2010) have also been reported. Recently, modeling to simulate Ca dynamics as a result of system perturbations has been used to aid in the design and interpretation of studies (Lee et al, 2011).…”
Section: Introductionmentioning
confidence: 99%
“…This model was further used to examine 3 steps in active calcium absorption, i.e., Ca entry, facilitated diffusion and Ca extrusion, and showed enhanced Ca absorption by calbindinD 9K (Feher et al, 1992;Slepchenko and Bronner, 2001). Urine excretion has not been individually modeled, but only as a part of the calcium balance model (Hurwitz et al, 1987a;Peterson and Riggs, 2010;Raposo et al, 2002). The bone remodeling process has been modeled as a function of bone cells and their regulators (Komarova, 2005;Komarova et al, 2003;Kroll, 2000;Lemaire et al, 2004;Rattanakul et al, 2003).…”
Section: Mechanistic Modeling In Calcium Studiesmentioning
confidence: 99%
“…In contrast to the bone cell models, bone mineralization was modeled as a function of mineral transport, diffusion and precipitation (Martin, 1994). However, few studies have linked calcium deposition/ resorption into bone with bone cell activity (Peterson and Riggs, 2010).…”
Section: Mechanistic Modeling In Calcium Studiesmentioning
confidence: 99%
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