Dataset Information

Shrestha2010_HypoCalcemia_PTHresponse

ABSTRACT: This a model from the article: A mathematical model of parathyroid hormone response to acute changes in plasma ionized calcium concentration in humans. Shrestha RP, Hollot CV, Chipkin SR, Schmitt CP, Chait Y. Math Biosci.2010 Jul;226(1):46-57. 20406649, Abstract: A complex bio-mechanism, commonly referred to as calcium homeostasis, regulates plasma ionized calcium (Ca(2+)) concentration in the human body within a narrow range which is crucial for maintaining normal physiology and metabolism. Taking a step towards creating a complete mathematical model of calcium homeostasis, we focus on the short-term dynamics of calcium homeostasis and consider the response of the parathyroid glands to acute changes in plasma Ca(2+) concentration. We review available models, discuss their limitations, then present a two-pool, linear, time-varying model to describe the dynamics of this calcium homeostasis subsystem, the Ca-PTH axis. We propose that plasma PTH concentration and plasma Ca(2+) concentration bear an asymmetric reverse sigmoid relation. The parameters of our model are successfully estimated based on clinical data corresponding to three healthy subjects that have undergone induced hypocalcemic clamp tests. In the first validation of this kind, with parameters estimated separately for each subject we test the model's ability to predict the same subject's induced hypercalcemic clamp test responses. Our results demonstrate that a two-pool, linear, time-varying model with an asymmetric reverse sigmoid relation characterizes the short-term dynamics of the Ca-PTH axis. The model corresponds to hypocalcemic clamp test explained in the paper and parameter values used in the model are that of "subject 1". In order to obtain the plots corresponding to "subject 2" and "subject 3" the following parameters to be changed: lambda_1, lambda_2, m1, m2, R, beta, x1_n, x2_n, x2_min, x2_max, Ca0, Ca1, t0 and alpha. parameter Subject 1 Subject 2 Subject 3 lambda_1 0.0125 0.0122 0.0269 lambda_2 0.5595 0.4642 0.4935 m1 112.5200 150.0000 90.8570 m2 15.0000 15.0000 15.0000 R 1.2162 1.1627 1.1889 beta 10e+06 10e+06 10e+06 x1_n 490.7800 452.8200 298.8200 x2_n 6.6290 9.5894 5.4600 x2_min 0.6697 1.4813 0.8287 x2_max 14.0430 17.8710 15.1990 Ca0 1.2550 1.2369 1.2475 Ca1 0.1817 0.2211 0.1985 t0 575 577 575 alpha 0.0442 0.0488 0.0472 This model originates from BioModels Database: A Database of Annotated Published Models (http://www.ebi.ac.uk/biomodels/). It is copyright (c) 2005-2010 The BioModels.net Team. For more information see the terms of use. To cite BioModels Database, please use: Li C, Donizelli M, Rodriguez N, Dharuri H, Endler L, Chelliah V, Li L, He E, Henry A, Stefan MI, Snoep JL, Hucka M, Le Novère N, Laibe C (2010) BioModels Database: An enhanced, curated and annotated resource for published quantitative kinetic models. BMC Syst Biol., 4:92.

DISEASE(S): Calcium Metabolism Disease

SUBMITTER: Vijayalakshmi Chelliah

PROVIDER: BIOMD0000000276 | BioModels | 2010-11-15

REPOSITORIES: BioModels

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Publications

A mathematical model of parathyroid hormone response to acute changes in plasma ionized calcium concentration in humans.

Shrestha Rajiv P RP Hollot Christopher V CV Chipkin Stuart R SR Schmitt Claus P CP Chait Yossi Y

Mathematical biosciences 20100418 1

A complex bio-mechanism, commonly referred to as calcium homeostasis, regulates plasma ionized calcium (Ca(2+)) concentration in the human body within a narrow range which is crucial for maintaining normal physiology and metabolism. Taking a step towards creating a complete mathematical model of calcium homeostasis, we focus on the short-term dynamics of calcium homeostasis and consider the response of the parathyroid glands to acute changes in plasma Ca(2+) concentration. We review available mo ...[more]

PMID: 20406649

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Project description:This a model from the article: A mathematical model of parathyroid hormone response to acute changes in plasma ionized calcium concentration in humans. Shrestha RP, Hollot CV, Chipkin SR, Schmitt CP, Chait Y. Math Biosci.2010 Jul;226(1):46-57. 20406649, Abstract: A complex bio-mechanism, commonly referred to as calcium homeostasis, regulates plasma ionized calcium (Ca(2+)) concentration in the human body within a narrow range which is crucial for maintaining normal physiology and metabolism. Taking a step towards creating a complete mathematical model of calcium homeostasis, we focus on the short-term dynamics of calcium homeostasis and consider the response of the parathyroid glands to acute changes in plasma Ca(2+) concentration. We review available models, discuss their limitations, then present a two-pool, linear, time-varying model to describe the dynamics of this calcium homeostasis subsystem, the Ca-PTH axis. We propose that plasma PTH concentration and plasma Ca(2+) concentration bear an asymmetric reverse sigmoid relation. The parameters of our model are successfully estimated based on clinical data corresponding to three healthy subjects that have undergone induced hypocalcemic clamp tests. In the first validation of this kind, with parameters estimated separately for each subject we test the model's ability to predict the same subject's induced hypercalcemic clamp test responses. Our results demonstrate that a two-pool, linear, time-varying model with an asymmetric reverse sigmoid relation characterizes the short-term dynamics of the Ca-PTH axis. The model corresponds to hypercalcemic clamp test explained in the paper and parameter values used in the model are that of "subject 1". In order to obtain the plots corresponding to "subject 2" and "subject 3" the following parameters to be changed: lambda_1, lambda_2, m1, m2, R, beta, x1_n, x2_n, x2_min, x2_max, t0, Ca0, Ca1 and alpha. parameter Subject 1 Subject 2 Subject 3 lambda_1 0.0125 0.0122 0.0269 lambda_2 0.5595 0.4642 0.4935 m1 112.5200 150.0000 90.8570 m2 15.0000 15.0000 15.0000 R 1.2162 1.1627 1.1889 beta 10e+06 10e+06 10e+06 x1_n 490.7800 452.8200 298.8200 x2_n 6.6290 9.5894 5.4600 x2_min 0.6697 1.4813 0.8287 x2_max 14.0430 17.8710 15.1990 Ca0 1.2200 1.2513 1.2480 Ca1 0.2624 0.2267 0.2132 t0 575 575 575 alpha 0.0569 0.0563 0.0421 This model originates from BioModels Database: A Database of Annotated Published Models (http://www.ebi.ac.uk/biomodels/). It is copyright (c) 2005-2010 The BioModels.net Team. For more information see the terms of use. To cite BioModels Database, please use: Li C, Donizelli M, Rodriguez N, Dharuri H, Endler L, Chelliah V, Li L, He E, Henry A, Stefan MI, Snoep JL, Hucka M, Le Novère N, Laibe C (2010) BioModels Database: An enhanced, curated and annotated resource for published quantitative kinetic models. BMC Syst Biol., 4:92.

Project description:The pathogenesis of primary hyperparathyroidism (I-HPT) and secondary hyperparathyroidism (II-PTH) remains to be elucidated. To characterize their pathophysiology, we investigated the effects of calcium and phosphate on cell proliferation and PTH release in an organ culture of parathyroid tissues. Dissected parathyroid tissues obtained from patients with I-HPT (adenoma) or II-PTH (nodular hyperplasia) were precultured on a collagen-coated membrane for 1-4 week. After exchanging the medium for one containing various concentrations of phosphate, PTH release and [3H]thymidine incorporation were studied. In contrast to dispersed parathyroid cells cultured in a monolayer, calcium decreased PTH release in a concentration-dependent manner in parathyroid tissues. Furthermore, when parathyroid tissues obtained from II-PTH were precultured for 1-4 weeks, PTH release and parathyroid cell proliferation were significantly increased in high-phosphate medium. These phosphate effects were also observed to a lesser extent in parathyroid tissues obtained from I-HPT, but there was no significant difference between I-HPT and II-HPT. Microarray analyses revealed that mRNA levels of PTH, CaSR, and VDR were well preserved, and several growth factors (e.g. TGF-beta1-induced protein) were abundantly expressed in II-PTH. Using organ cultures of hyperparathyroid tissues, in which PTH release and CaSR are well preserved for a prolonged period, we have demonstrated that phosphate stimulates parathyroid cell proliferation not only in II-PTH but also in I-HPT. Although the mechanism responsible for phosphate-induced cell proliferation remains to be elucidated, our in vitro findings suggest that both parathyroid tissues preserve to some extent a physiological response system to hyperphosphatemia as observed in normal parathyroid cells. These data will be published in Journal of Bone & Mineral Metabolism. Experiment Overall Design: Two conditioned experimets, low vs. high phosphate medium, cultured for 1 and 4 days

Project description:Peterson2010 - integrated calcium homeostasis and bone remodelling This model is described in the article: A physiologically based mathematical model of integrated calcium homeostasis and bone remodeling. Peterson MC, Riggs MM. Bone 2010 Jan; 46(1): 49-63 Abstract: Bone biology is physiologically complex and intimately linked to calcium homeostasis. The literature provides a wealth of qualitative and/or quantitative descriptions of cellular mechanisms, bone dynamics, associated organ dynamics, related disease sequela, and results of therapeutic interventions. We present a physiologically based mathematical model of integrated calcium homeostasis and bone biology constructed from literature data. The model includes relevant cellular aspects with major controlling mechanisms for bone remodeling and calcium homeostasis and appropriately describes a broad range of clinical and therapeutic conditions. These include changes in plasma parathyroid hormone (PTH), calcitriol, calcium and phosphate (PO4), and bone-remodeling markers as manifested by hypoparathyroidism and hyperparathyroidism, renal insufficiency, daily PTH 1-34 administration, and receptor activator of NF-kappaB ligand (RANKL) inhibition. This model highlights the utility of systems approaches to physiologic modeling in the bone field. The presented bone and calcium homeostasis model provides an integrated mathematical construct to conduct hypothesis testing of influential system aspects, to visualize elements of this complex endocrine system, and to continue to build upon iteratively with the results of ongoing scientific research. This model is hosted on BioModels Database and identified by: BIOMD0000000613. To cite BioModels Database, please use: BioModels Database: An enhanced, curated and annotated resource for published quantitative kinetic models. To the extent possible under law, all copyright and related or neighbouring rights to this encoded model have been dedicated to the public domain worldwide. Please refer to CC0 Public Domain Dedication for more information.

Project description:The pathogenesis of primary hyperparathyroidism (I-HPT) and secondary hyperparathyroidism (II-PTH) remains to be elucidated. To characterize their pathophysiology, we investigated the effects of calcium and phosphate on cell proliferation and PTH release in an organ culture of parathyroid tissues. Dissected parathyroid tissues obtained from patients with I-HPT (adenoma) or II-PTH (nodular hyperplasia) were precultured on a collagen-coated membrane for 1-4 week. After exchanging the medium for one containing various concentrations of phosphate, PTH release and [3H]thymidine incorporation were studied. In contrast to dispersed parathyroid cells cultured in a monolayer, calcium decreased PTH release in a concentration-dependent manner in parathyroid tissues. Furthermore, when parathyroid tissues obtained from II-PTH were precultured for 1-4 weeks, PTH release and parathyroid cell proliferation were significantly increased in high-phosphate medium. These phosphate effects were also observed to a lesser extent in parathyroid tissues obtained from I-HPT, but there was no significant difference between I-HPT and II-HPT. Microarray analyses revealed that mRNA levels of PTH, CaSR, and VDR were well preserved, and several growth factors (e.g. TGF-beta1-induced protein) were abundantly expressed in II-PTH. Using organ cultures of hyperparathyroid tissues, in which PTH release and CaSR are well preserved for a prolonged period, we have demonstrated that phosphate stimulates parathyroid cell proliferation not only in II-PTH but also in I-HPT. Although the mechanism responsible for phosphate-induced cell proliferation remains to be elucidated, our in vitro findings suggest that both parathyroid tissues preserve to some extent a physiological response system to hyperphosphatemia as observed in normal parathyroid cells. These data will be published in Journal of Bone & Mineral Metabolism. Keywords: Organ culture experiments, dultured in low vs.high phosphate medium

Project description:This study was undertaken to test the hypothesis that short term exposure (4 hours) to physiologic hyperinsulinemia in normal, healthy subjects without a family history of diabetes would induce a low grade inflammatory response, independently of glycemic status. We performed euglycemic hyperinsulinemic (80 mU/m2/min) clamps in 12 healthy, insulin sensitive subjects with no family history of diabetes followed by biopsies of the vastus lateralis muscle taken basally and after 30 and 240 minutes of insulin infusion. Gene expression profiles were generated using Affymetrix HG-U133A arrays. No probe sets had significantly altered expression at 30 minutes of the insulin clamp, but 121 probe sets (117 upregulated and 4 downregulated) were significantly altered after 240 minutes. Hyperinsulinemia in normal, healthy human subjects increased the mRNAs for a number of inflammatory genes and transcription factors. Microarray and quantitative RT-PCR revealed the upregulation of chemokine, cc motif, ligand 2 (CCL2), CCL8, thrombomodulin (THBD), ras-related associated with diabetes (RRAD), metallothionein (MT), and serum/glucocorticoid regulated kinase (SGK), and downregulation of CITED2 (a CREB-binding protein-interacting transactivator), a known coactivator of PPAR-alpha. Interestingly, SGK and CITED2 are located at chromosome 6q23, where we previously detected strong linkage to hyperinsulinemia. A control saline infusion performed on 3 normal, healthy subjects without a family history of diabetes demonstrated that the genes altered following the euglycemic-hyperinsulinemic clamp were due to insulin and independent of biopsy removal. This study demonstrates that insulin acutely regulates the expression of genes involved in inflammation and transcription, and identifies several candidate genes/pathways for further investigation. Experiment Overall Design: Twelve subjects received a vastus lateralis muscle biopsy followed by a 180-min euglycemic, hyperinsulinemic (80 mU/m2.min) clamp. Muscle biopsies from each subject were homogenized in RNAStat solution (Tel-Test Inc., Friendswood, TX), using a Polytron homogenizer (Brinkmann Instruments Westbury, NY). Total RNA was purified with RNeasy and DNase I treatment (Qiagen, Chatsworth, CA). RNA was prepared for hybridization to Affymetrix (Santa Clara, CA) HG-U133A arrays according to the manufacturerâs instructions.

Dataset Information

Shrestha2010_HypoCalcemia_PTHresponse

Publications

A mathematical model of parathyroid hormone response to acute changes in plasma ionized calcium concentration in humans.

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