DFPP Sieving & Mass Transport Simulator

Inuspheresis Biophysics

Preset Protocol:

⚡ Dual-Stage Cascade Plasma Filtration Circuit

Stage 1: Separator (40nm) | Stage 2: Fractionator (15nm)

Treatment Time: 0 min

Processed Plasma: 0.00 L

Concentration Polarization: 1.00x

Secondary Cake Fouling: 0.0%

📊 Biophysical Diagnostics & Sieving Dynamics

Hydrodynamic Sieving Curve S(Rh)

Plasma Solute Clearance vs Time

Real-Time Mass Balance & Target Clearance Efficiency

Solute Particle	Hydrodynamic Radius ($R_h$)	Primary Sieving ($S_1$)	Secondary Sieving ($S_2$)	Plasma Clearance	Retention in Body

DFPP Protocol Diagnostic Verification

Plasmapheresis Sieving Simulator Completed State

Calculated sieving coefficients and mass transport kinetics for current cascade parameter set.

Target Toxin Removal Rate

0.0%

Vital Immunoglobulin Retention (IgG/IgM)

100.0%

Serum Albumin Preservation

100.0%

Status: Ready | Preset: Microplastics Targeted Removal | TMP: 45 mmHg | Secondary Pore: 15 nm

⚙️ Circuit & Membrane Operating Parameters

Primary Separator Cutoff ($r_1$) 40 nm

Primary plasma separator filter pore radius limit (~30–50nm keeps cellular blood elements in main circulation).

Secondary Fractionator Cutoff ($r_2$) 15 nm

Secondary membrane pore radius. Determines fractionating split between albumin (~3.8nm), immunoglobulins (5.5–12nm), and larger plastics/fibrinogen.

Trans-Membrane Pressure (TMP) 45 mmHg

Drives solvent flux ($J_v$). Excessive TMP (>60 mmHg) accelerates concentration polarization and gel layer fouling.

Plasma Cross-Flow Rate ($Q_p$) 35 mL/min

Cross-flow velocity creates wall shear rate ($\gamma$), scouring the membrane boundary layer to suppress cake fouling.

Treatment Duration 90 min

Total therapeutic session elapsed duration. Typical DFPP protocol is 60–120 mins.

Membrane Hydrodynamics Insight

At secondary cutoff 15 nm, nanoplastics (50nm) and microplastics (>1000nm) are completely rejected ($S_2 = 0.00$) and discarded in waste concentrate. Serum albumin ($R_h = 3.8\text{nm}$) passes freely ($S_2 \approx 0.85$) for re-infusion.

Ferry-Renkin Transport Theory

Sieving coefficient $S = (1 - \lambda)^2 [2 - (1 - \lambda)^2]$ where $\lambda = r_{solute} / r_{pore}$.

Boundary concentration ratio: $C_w / C_b = \exp(J_v / k)$, where solvent flux $J_v \propto \text{TMP}$.

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