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Mathematical Model for Glucose Dependence of the Local Renin-Angiotensin System in Podocytes
Minu R Pilvankar1, Michele A Higgins1, Ashlee N Ford Versypt2,3
1School of Chemical Engineering, Oklahoma State University, Stillwater, OK, 74078, USA.
Abstract:
Diabetic kidney disease (DKD) is the primary cause of kidney failure. Diabetic hyperglycemia primarily damages podocyte cells. Podocytes express a local renin-angiotensin system (RAS) that produces angiotensin II (ANG II). ANG II levels are elevated by hyperglycemia, triggering podocyte injury. Quantitative descriptions of glucose dose dependency of ANG II are scarce in the literature. For better understanding of the mechanism of glycemic injury in DKD, a mathematical model is developed to describe the glucose-stimulated local RAS in podocytes. The model of the RAS signaling pathway in podocytes tracks peptides and enzymes without explicit glucose dependence. Local and global sensitivity analyses are used to identify the key parameters to be estimated in the model. Three approaches are explored to incorporate glucose dependency through linear ramp functions for the sensitive parameters. The first approach uses inferences from literature data to estimate the parameter values, while the other approaches reduce the number of assumptions by using least-squares regression to estimate all or a subset of the parameters. Physiological parameter values and RAS peptide concentrations ranges are used to discriminate between plausible models for the glucose dose dependency. This is the first model of the theory of the local RAS mechanism specific to podocyte cells to track ANG II levels in a range of glycemic conditions that may contribute to podocyte damage in DKD. The ability to track ANG II behavior could enable prediction of its downstream effects on podocytes and provide opportunities to better characterize pathophysiological features of DKD progression.
Insights
Diabetic kidney disease (DKD) involves hyperglycemia damaging kidney podocytes. This study models how glucose affects the local renin-angiotensin system (RAS) in podocytes, revealing key factors in DKD progression.
Area of Science:
- Nephrology
- Metabolic Diseases
- Mathematical Biology
Background:
- Diabetic kidney disease (DKD) is a leading cause of kidney failure, primarily driven by diabetic hyperglycemia.
- Hyperglycemia induces podocyte injury, partly through the local renin-angiotensin system (RAS) producing angiotensin II (ANG II).
- Quantitative understanding of glucose's dose-dependent effect on ANG II in podocytes is limited.
Purpose of the Study:
- To develop a mathematical model describing glucose-stimulated local RAS activity in podocytes.
- To quantitatively assess the relationship between glucose levels and ANG II production in podocyte injury.
- To identify key parameters influencing ANG II levels under varying glycemic conditions.
Main Methods:
- Development of a mathematical model for the RAS signaling pathway in podocytes.
- Application of local and global sensitivity analyses to identify critical model parameters.
- Incorporation of glucose dependency using linear ramp functions and parameter estimation via literature data and least-squares regression.
- Discrimination of plausible models using physiological parameter values and RAS peptide concentration ranges.
Main Results:
- The study presents the first model specifically simulating the local RAS mechanism in podocytes concerning glucose levels.
- Sensitivity analyses identified crucial parameters for modeling glucose-dependent ANG II production.
- Multiple approaches were explored to integrate glucose dose-dependency into the model, with physiological constraints used for validation.
Conclusions:
- This novel model provides a framework for tracking ANG II levels in podocytes across a range of glycemic conditions.
- The model can aid in understanding the mechanisms of glycemic injury in DKD.
- Predicting ANG II behavior may offer insights into DKD progression and potential therapeutic targets.
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