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Mathematical models for kidney function focusing on clinical interest.

S Randall Thomas1

  • 1Inserm, LTSI - UMR 1099, Université Rennes, 35000 Rennes, France.

Morphologie : Bulletin De L'Association Des Anatomistes
|November 15, 2019
PubMed
Summary
This summary is machine-generated.

Mathematical models now offer clinicians insights into kidney function, including complex issues like renal ischemia and homeostasis. Future whole-kidney models will enhance simulations of kidney diseases and treatments.

Keywords:
Electrolyte metabolismKidney anatomyMathematical modelsRenal physiologyVPHrenal epithelial transport

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Area of Science:

  • Nephrology
  • Physiology
  • Mathematical Modeling

Background:

  • Traditional models focused on nephron transport and urine concentration.
  • Recent advancements address complex renal issues like ischemia and homeostasis.
  • 3D reconstructions offer detailed anatomical insights.

Purpose of the Study:

  • To provide an overview of mathematical models of renal physiology and anatomy for clinicians.
  • To highlight recent model advancements beyond basic transport mechanisms.
  • To discuss the potential of sophisticated whole-kidney models.

Main Methods:

  • Review of existing mathematical models in renal physiology and anatomy.
  • Analysis of recent model applications to specific renal problems (e.g., ischemia, homeostasis).
  • Inclusion of 3D reconstructions of nephron and collecting duct structures.

Main Results:

  • Models now address complex topics like renal ischemia (oxygen and CO2 diffusion) and mineral homeostasis (calcium, potassium).
  • Detailed 3D reconstructions visualize nephron and collecting duct organization.
  • Emerging whole-kidney models integrate nephrons and vasculature.

Conclusions:

  • Mathematical models are increasingly valuable tools for clinicians understanding kidney function.
  • Advanced models provide deeper insights into renal pathophysiology.
  • Future whole-kidney models promise more realistic simulations for disease and treatment.