glucoseRASpodocytes

A mathematical model of glucose-stimulated local renin-angiotensin system in podocytes

Overview

The code for the model is provided as is, without guarantees and without support.

Glucose RAS in Podocytes Model

Authors

Minu R. Pilvankar, Michele A. Higgins, and Ashlee N. Ford Versypt, School of Chemical Engineering, Oklahoma State University. Corresponding author: A. N. Ford Versypt, ashleefv@okstate.edu

Related Publication for Model Details

M. R. Pilvankar, M. A. Higgins, A. N. Ford Versypt, Mathematical Model for Glucose Dependence of the Local Renin-Angiotensin System in Podocytes, Bulletin of Mathematical Biology, 80(4):880-905, 2018.

Main files

param_estimation_Approach1and2.m. Runs the model to estimate the parameters using Approach 1 and Appraoch 2 (described in the manuscript). The simulation results compare the change in concentration of Angiotensin II (ANG II) with increasing glucose for Approach 1 and different scenarios of Approach 2. The results are compared using root mean squared error (RMSE) using a data set from literature.
param_estimation_Approach3.m. Runs the model to estimate the parameters using Approach 3 (described in the manuscript). The simulation results compare the change in concentration of ANG II with increasing glucose for Approach 3.
Sensanalysis.m. Runs local sensitivity analysis on ANG II with respect to all the parameters. The resulting plots show sensitivity of all the parameters at normal and high glucose states.
globalsensitivity.m. Runs global sensitivity analysis on ANG II with respect to all the parameters. The resulting plots show two sensitivity indices S_i (ﬁrst-order index) and S_{Ti} (total-order index which accounts for higher-order and non-linear interactions between the parameters) for ANG II with respect to each input parameter.

Supplementary files

glucoseRASssA12.m. Runs through param_estimation_Approach1and2.m and returns ANG II concentration by solving the set of equations. It is used to pass different set of coefficients for each case of Approach 1 and 2.
glucoseRASssA3.m. Runs through param_estimation_Approach1and2.m and returns ANG II concentration by solving the set of equations. It is used to pass different set of coefficients for Approach 3.
glucoseRASssSens.m. Runs through param_estimation_Approach1and2.m and returns ANG II concentration by solving the set of equations. It is used to pass the parameter values at NG and HG with a devaition to do the sensitivity analysis.

Needed to run the programs to pass data, parameters, and calculated values.

scenario0.m
scenario1.m
scenario2.m
scenario3.m
scenario4.m
scenarioM0.m.
Approach3.m
NG.mat
NGHG.mat

For running globalsensitivity.m

efast_sd.m
efast_ttest.m
parameterdist.m
Parameter_settings_eFAST.m
SETFREQ.m
export_fig.m MATLAB package to nicely export figures. Download: https://www.mathworks.com/matlabcentral/fileexchange/23629-export-fig Tips for usage: https://github.com/altmany/export_fig/blob/master/README.md