Related Experiment Video

Updated: Apr 16, 2026

Multilevel Microdissection and Functional-Structural Profiling of Human Renal Arterial Branches
06:51

Multilevel Microdissection and Functional-Structural Profiling of Human Renal Arterial Branches

Published on: September 5, 2025

767

Mathematical modeling of renal hemodynamics in physiology and pathophysiology

Ioannis Sgouralis1, Anita T Layton2

  • 1National Institute for Mathematical and Biological Synthesis, University of Tennessee, United States.

Mathematical Biosciences
|March 14, 2015
PubMed

Keywords:
Blood flowGlomerular filtrationKidneyMyogenic responseNonlinear dynamicsTubuloglomerular feedback

More Related Videos

A Modified Two Kidney One Clip Mouse Model of Renin Regulation in Renal Artery Stenosis08:21

A Modified Two Kidney One Clip Mouse Model of Renin Regulation in Renal Artery Stenosis

Published on: October 26, 2020

5.8K
Lumped-Parameter and Finite Element Modeling of Heart Failure with Preserved Ejection Fraction09:20

Lumped-Parameter and Finite Element Modeling of Heart Failure with Preserved Ejection Fraction

Published on: February 13, 2021

7.2K

Related Concept Videos

Physiology of the Genitourinary System I: Renal Blood Flow and Glomerular Filtration01:29

Physiology of the Genitourinary System I: Renal Blood Flow and Glomerular Filtration

The kidneys are vital organs responsible for regulating blood filtration, waste excretion, and fluid balance, all of which are crucial for maintaining homeostasis. Renal physiology examines renal blood flow, glomerular filtration, and urine formation, ensuring the body’s internal environment remains stable.Renal Blood FlowThe kidneys receive about 20-25% of the cardiac output, typically around 1200 mL of blood per minute in an average adult. Blood flows into the kidneys through the renal...
1.7K
Model Approaches for Pharmacokinetic Data: Physiological Models01:15

Model Approaches for Pharmacokinetic Data: Physiological Models

Physiological models in pharmacokinetics are instrumental in understanding the distribution and elimination of drugs within the body. These models describe the drug concentration within target organs, influenced by factors such as drug uptake, tissue volume, and blood flow. Drug uptake is governed by the partition coefficient, which signifies the drug concentration ratio in tissue to that in the blood. The blood flow rate to a specific tissue is expressed as Qt, and the rate of change in tissue...
359
Pharmacokinetic Models: Overview01:20

Pharmacokinetic Models: Overview

Pharmacokinetic models utilize mathematical analysis to achieve a detailed quantitative understanding of a drug's life cycle within the body. They are instrumental in simulating a drug's pharmacokinetic parameters, predicting drug concentrations over time, optimizing dosage regimens, linking concentrations with pharmacologic activity, and estimating potential toxicity.
There are three primary types of models: empirical, compartment, and physiological. Empirical models, with minimal...
2.8K
Pharmacokinetic Models: Comparison and Selection Criterion01:26

Pharmacokinetic Models: Comparison and Selection Criterion

Physiological and compartmental models are valuable tools used in studying biological systems. These models rely on differential equations to maintain mass balance within the system, ensuring an accurate representation of the dynamic processes at play.
Physiological models take a detailed approach by considering specific molecular processes. They can predict drug distribution, metabolism, and elimination changes, providing a comprehensive understanding of how drugs interact with the body.
466
Glomerular Filtration Rate and its Regulation01:28

Glomerular Filtration Rate and its Regulation

The Glomerular Filtration Rate (GFR) is a measure of kidney function, reflecting the volume of filtrate formed per minute in the kidneys. On average, GFR is approximately 125 mL/min in males and 105 mL/min in females. Maintaining a relatively constant GFR is essential for the kidneys to effectively regulate body fluid homeostasis and maintain extracellular stability.
GFR regulation involves two primary intrinsic controls: the myogenic and tubuloglomerular feedback mechanisms.
The myogenic...
6.9K
Fundamental Mathematical Principles in Pharmacokinetics: Calculus and Graphs01:21

Fundamental Mathematical Principles in Pharmacokinetics: Calculus and Graphs

The fundamental mathematical principles, such as calculus and graphs, play crucial roles in analyzing drug movement and determining pharmacokinetic parameters. Differential calculus examines rates of change and helps to determine the dissolution rate of drugs in biofluids, as well as how drug concentrations change over time. For instance, it can help calculate the rate of elimination of a drug from the body based on its concentration-time profile.
On the other hand, integral calculus focuses on...
3.6K