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Starling Equation for volume flow

Last modified by
on
Jul 24, 2020, 6:28:07 PM
Created by
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Apr 28, 2014, 11:31:47 PM
Jv=Kf[(Pc-Pi)-σ(Πc-Πi)]
(Kf)Filtration Coefficient
(Pc)Capillary Hydrostatic Pressure
(Pi)Interstitial Hydrostatic Pressure
(σ)Reflection Coefficient
(Πc)Capillary Oncotic Pressure
(Πi)Interstitial Oncotic Pressure
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The Starling equation for Volume Flow calculator computes volume flux across capillary membranes in milliliters per second (mL/s = cm3/s).

INSTRUCTIONS: Choose the pressure units you wish and enter the following:

  • (Kf) - the filtration coefficient
  • (Pc) the capillary hydrostatic pressure
  • (Pi) - the interstitial hydrostatic pressure
  • (σ) - the reflection coefficient
  • (Πc) - the capillary oncotic pressure1
  • (Πi) - the interstitial oncotic pressure

The calculator computes the Output Volume Flux Across Capillary Membranes (Jv) reported in milliliters per second (mL/s), which is the equivalent of cubic centimeters per second (cm3/s).

The Math

The Starling equation for volume flow (Jv=Kf[(Pc-Pi)-σ(Πc-Πi)])is an equation that illustrates the role of hydrostatic and oncotic forces (the so-called Starling forces) in the movement of fluid across capillary membranes.
Capillary fluid movement may occur as a result of three processes:

  1. diffusion
  2. filtration
  3. pinocytosis 

1  oncotic pressure is a form of osmotic pressure caused by proteins in blood plasma  that tends to draw water into the circulatory system.

Notes

Starling's equation only refers to fluid movement across the capillary membrane that occurs as a result of filtration. In the glomerular capillaries, there is approximately a net fluid filtration of 125 ml/min (about 180 litres/day). In the rest of the body's capillaries, there is a total net transcapillary fluid movement of 20 ml/min (about 28.8 litres/day) as a result of filtration. This is several orders of magnitude lower than the total diffusional water flux at the capillary membrane, as that is about 80,000 litres/day.

The filtration coefficient, Kf, id the product of the hydraulic conductivity, LP and the capillary surface area, S.


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