U01.21.025 Capillary Fluid Exchange (Jv)

Learning Objective:
Understand and apply the Starling equation for capillary fluid exchange (Jv), which determines the movement of fluid across capillary membranes.


Formula:

J_v = \text{net fluid flow} = K_f \Big[ (P_c - P_i) - \sigma (\pi_c - \pi_i) \Big]


Explanation:

  • J_v = Net fluid movement (positive = filtration, negative = absorption)
  • K_f = Filtration coefficient (capillary permeability × surface area)
  • P_c = Capillary hydrostatic pressure (pushes fluid out of capillary)
  • P_i = Interstitial hydrostatic pressure (pushes fluid into capillary)
  • \pi_c = Capillary oncotic (plasma) pressure (pulls fluid into capillary)
  • \pi_i = Interstitial oncotic pressure (pulls fluid out of capillary)
  • \sigma = Reflection coefficient (measure of capillary wall impermeability to proteins; ranges 0–1)

Concept Summary:

  • Filtration: when (P_c - P_i) > \sigma(\pi_c - \pi_i)
  • Absorption: when (P_c - P_i) < \sigma(\pi_c - \pi_i)
  • Imbalance leads to edema if excess filtration occurs.

Example:

Given:
K_f = 1
P_c = 35 mmHg
P_i = 5 mmHg
\pi_c = 25 mmHg
\pi_i = 5 mmHg
\sigma = 1

J_v = 1 \Big[ (35 - 5) - (25 - 5) \Big] = 1 \Big[ 30 - 20 \Big] = +10

Answer: Net filtration = +10 mmHg → fluid moves out of capillary.


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