ArticleAmerican journal of physiology. Renal physiology2015
A mathematical model of rat proximal tubule and loop of Henle.
Article in American journal of physiology. Renal physiology, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 29 papers.
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Who cites it
29 citing papers in PubMed, 32 citations in OpenAlex.
- Stability and Robustness of a Generalized Pump-Leak Model for Epithelial Vesicles.Bulletin of mathematical biology · 2026Article
- A thermodynamically consistent approach to modeling epithelial solute and water transport in the proximal convoluted tubule.Journal of biological physics · 2026Article
- Neural network surrogates enable robust and accessible modeling of renal epithelial transport.Physiological reports · 2026Article
- High dietary KAmerican journal of physiology. Renal physiology · 2023Article
- Regulation of glomerulotubular balance. IV. Implication of aquaporin 1 in flow-dependent proximal tubule transport and cell volume.American journal of physiology. Renal physiology · 2022Article
- A mathematical model of the rat kidney. IV. Whole kidney response to hyperkalemia.American journal of physiology. Renal physiology · 2022Article
- A modular and reusable model of epithelial transport in the proximal convoluted tubule.PloS one · 2022Review
- A mathematical model of the rat kidney. III. Ammonia transport.American journal of physiology. Renal physiology · 2021Article
- Parameterization of Microsomal and Cytosolic Scaling Factors: Methodological and Biological Considerations for Scalar Derivation and Validation.European journal of drug metabolism and pharmacokinetics · 2021Article
- A mathematical model of the rat kidney. II. Antidiuresis.American journal of physiology. Renal physiology · 2020Article
- Claudins in Renal Physiology and Pathology.Genes · 2020Review
- Regulation of renal Na transporters in response to dietary K.American journal of physiology. Renal physiology · 2018Article
- A model of calcium transport and regulation in the proximal tubule.American journal of physiology. Renal physiology · 2018Article
- Functional implications of sexual dimorphism of transporter patterns along the rat proximal tubule: modeling and analysis.American journal of physiology. Renal physiology · 2018Article
- Physiological relevance of epithelial geometry: New insights into the standing gradient model and the role of LI cadherin.PloS one · 2018Article
- Renal medullary and urinary oxygen tension during cardiopulmonary bypass in the rat.Mathematical medicine and biology : a journal of the IMA · 2017Article
- Sex-specific computational models of the spontaneously hypertensive rat kidneys: factors affecting nitric oxide bioavailability.American journal of physiology. Renal physiology · 2017Article
- A mathematical model of the rat kidney: KAmerican journal of physiology. Renal physiology · 2017Article
- A quantitative systems physiology model of renal function and blood pressure regulation: Model description.CPT: pharmacometrics & systems pharmacology · 2017Article
- Primary proximal tubule hyperreabsorption and impaired tubular transport counterregulation determine glomerular hyperfiltration in diabetes: a modeling analysis.American journal of physiology. Renal physiology · 2017Article
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Abstract
Proximal tubule and loop of Henle function are coupled, with proximal transport determining loop fluid composition, and loop transport modulating glomerular filtration via tubuloglomerular feedback (TGF). To examine this interaction, we begin with published models of the superficial rat proximal convoluted tubule (PCT; including flow-dependent transport in a compliant tubule), and the rat thick ascending Henle limb (AHL). Transport parameters for this PCT are scaled down to represent the proximal straight tubule (PST), which is connected to the thick AHL via a short descending limb. Transport parameters for superficial PCT and PST are scaled up for a juxtamedullary nephron, and connected to AHL via outer and inner medullary descending limbs, and inner medullary thin AHL. Medullary interstitial solute concentrations are specified. End-AHL hydrostatic pressure is determined by distal nephron flow resistance, and the TGF signal is represented as a linear function of end-AHL cytosolic Cl concentration. These two distal conditions required iterative solution of the model. Model calculations capture inner medullary countercurrent flux of urea, and also suggest the presence of an outer medullary countercurrent flux of ammonia, with reabsorption in AHL and secretion in PST. For a realistically strong TGF signal, there is the expected homeostatic impact on distal flows, and in addition, a homeostatic effect on proximal tubule pressure. The model glycosuria threshold is compatible with rat data, and predicted glucose excretion with selective 1Na(+):1glucose cotransporter (SGLT2) inhibition comports with observations in the mouse. Model calculations suggest that enhanced proximal tubule Na(+) reabsorption during hyperglycemia is sufficient to activate TGF and contribute to diabetic hyperfiltration.
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