Table III. Mathematical models for the... | Rockefeller University Press

Table III.

Mathematical models for the number of antibodies bound per trimer under the consideration of monomer/dimer binding

Setup	Neighboring protection	Self protection
1	$3 f_{b s} {(1 - f_{b s})}^{2} + 3 f_{b s}^{2} (1 - f_{b s}) + c f_{b s}$	cf_bs
2	$1 \times 3 f_{b s}^{2} (1 - f_{b s}) + 3 \times f_{b s}^{3} + c f_{b s}$	$1 \times 3 f_{b s} {(1 - f_{b s})}^{2} + 2 \times 3 f_{b s}^{2} (1 - f_{b s}) + 3 \times f_{b s}^{3} + c f_{b s}$
3	$1 \times 3 f_{Δ} {(1 - f_{Δ})}^{2} + 2 \times 3 f_{Δ}^{2} (1 - f_{Δ}) + 3 \times f_{Δ}^{3} + a f_{Δ} + 4 b f_{Δ} - 2 b f_{Δ}^{2}$	$1 \times 3 f_{Δ} {(1 - f_{Δ})}^{2} + 2 \times 3 f_{Δ}^{2} (1 - f_{Δ}) + 3 \times f_{Δ}^{3} + a f_{Δ} + 4 b f_{Δ} - 2 b f_{Δ}^{2}$

Setup	Neighboring protection	Self protection
1	$3 f_{b s} {(1 - f_{b s})}^{2} + 3 f_{b s}^{2} (1 - f_{b s}) + c f_{b s}$	cf_bs
2	$1 \times 3 f_{b s}^{2} (1 - f_{b s}) + 3 \times f_{b s}^{3} + c f_{b s}$	$1 \times 3 f_{b s} {(1 - f_{b s})}^{2} + 2 \times 3 f_{b s}^{2} (1 - f_{b s}) + 3 \times f_{b s}^{3} + c f_{b s}$
3	$1 \times 3 f_{Δ} {(1 - f_{Δ})}^{2} + 2 \times 3 f_{Δ}^{2} (1 - f_{Δ}) + 3 \times f_{Δ}^{3} + a f_{Δ} + 4 b f_{Δ} - 2 b f_{Δ}^{2}$	$1 \times 3 f_{Δ} {(1 - f_{Δ})}^{2} + 2 \times 3 f_{Δ}^{2} (1 - f_{Δ}) + 3 \times f_{Δ}^{3} + a f_{Δ} + 4 b f_{Δ} - 2 b f_{Δ}^{2}$