Table 2.
Parameter values for the capillary model
| Symbol | Definition | Value | Unit |
|---|---|---|---|
| t | Time | ms | |
| Δx | Length of a capillary compartment (= L/N) | 0.01 | mm |
| xi | Axial position of ith compartment in the capillary | mm | |
| N | Number of compartment | 60 | |
| K | Serum conductivity | 1.26 × 10−10 | μL/mmHg/ms/mm |
| Hc | Hematocrit | 0.4 | |
| Gp | Protein permeability of large pore system | 1.13 × 10−11 | μL/ms/mm |
| L | Capillary length | 0.6 | mm |
| r | Capillary radius | 0.004 | mm |
| rK | Radius of the Krough muscle cylinder | 18 | μm |
| vflow | Flow rate of capillary plasma | 1.0 × 10−3 | mm/ms |
| PE | Effective net filtration pressure | mmHg | |
| Ppl,a | Blood hydrostatic pressure at the arterial end of the capillary | 25 | mmHg |
| Ppl,v | Blood hydrostatic pressure at the venous end of the capillary | 15 | mmHg |
| ppl(xi) | Blood hydrostatic pressure at axial position (xi) | mmHg | |
| Averaged value of hydrostatic pressure in capillary | mmHg | ||
| Original interstitial fluid pressure | −3 | mmHg | |
| Pisf(t) | Interstitial fluid pressure at time (t) | mmHg | |
| Original capillary volume | 3.02 × 10−5 | μL | |
| Original initial capillary volume at each compartment | 3.02 × 10−5 | μL/mm | |
| vpl(t, xi) | Capillary compartment volume at axial position (xi) and time (t) | μL | |
| Original interstitial fluid volume | 6.0 × 10−5 | μL | |
| Visf(t) | Interstitial fluid volume at time (t) | μL | |
| Visf,L(t) | Instantaneous equilibrium point of interstitial fluid volume at time (t) | μL | |
| Initial plasma colloidal osmotic pressure in each capillary compartment | 25 | mmHg | |
| πpl(t, xi) | Plasma colloidal osmotic pressure in capillary compartment at axial position (xi) and time (t) | mmHg | |
| Averaged value of colloidal osmotic pressure at time (t) | mmHg | ||
| Initial interstitial fluid colloidal osmotic pressure | 3 | mmHg | |
| Πisf(t) | Colloidal osmotic pressure in interstitial fluid at time (t) | mmHg | |
| s | Proportional factor for lymphatic flow | 9.79 × 10−12 | μL/ms |
| R | Contamination ratio of protein in the serum filtrate | 0.01555 | |
| Jv(t) | The volume change of interstitial fluid | μL/ms/mm | |
| Jv,C(t) | Total transcapillary fluid flux | μL/ms/mm | |
| jv,C(t, xi) | Transcapillary fluid flux at axial position (xi) and time (t) | μL/ms/mm | |
| jv,pl(t, xi) | Plasma flux from ith compartment to (i + 1)th compartment at time (t) | μL/ms/mm | |
| Jv,LF(t) | Lymphatic flow at time (t) | μL/ms/mm | |
| Jq,C(t) | Total protein flux carried by large pore system by diffusion and fluid convection at time (t) | μg/ms/mm | |
| jq,C(t, xi) | Protein flux carried by large pore system by diffusion and fluid convection at axial position (xi) and time (t) | μg/ms/mm | |
| jq,pl(t, xi) | Protein flux carried by blood flow from ith compartment to (i + 1)th compartment | μg/ms/mm | |
| Jq,LF(t) | Protein flux carried by lymph flow at time (t) | μg/ms/mm | |
| qpl(t, xi) | Amount of protein in capillary compartment at axial position (xi) and time (t) | μg | |
| Qisf(t) | Amount of protein in interstitial fluid at time (t) | μg | |
| cpl(t, xi) | Concentration of serum protein in capillary compartment at axial position (xi) and time (t) | μg/μL | |
| Cisf(t) | Concentration of serum protein in interstitial fluid at time (t) | μg/μL |