Table 2.
Details of the system parameters
| Property | Symbol | Value | ||
|---|---|---|---|---|
| Membrane surface area | 0.25 mm2 | |||
| Mass of each membrane vertex | mv | 5.5 × 10−19 g | ||
| Number of links | NLk | 7699 | ||
| Number of membrane vertices | Nv | 2702 | ||
| Receptor length | 19 nm | |||
| Number of receptors | Nr | 2000 | ||
| Antigen flexural rigidity | kf | 7000 pN nm2 | ||
| Number of ligands per NP | Nl | 162 | ||
| Ligand length | 15 nm | |||
| Bending rigidity | κ | 20kBT | ||
| Free energy of binding per receptor–ligand bond | ΔG0 | −7.98 × 10−20 J | ||
| Flexible NP | Symbol | Value | ||
| Bead radius | a | 6.8 nm | ||
| Bead mass | mb | 1.44 × 10−19 g | ||
| Number of beads in an arm | Nb | 4 | ||
| Number of arms attached to a core | f | 25 | ||
| Molecular weight of dextran monomer | Mmonomer | 160 Da | ||
| Molecular weight of dextran polymer | Mpolymer | 71 kDa | ||
| Size of each Kuhn segment | bk | 0.44 nm | ||
| Size of monomer | b | 1.5 nm | ||
| Number of monomers per bead | N | 108 | ||
| Number of Kuhn segments per bead | Nk | 246 | ||
| Stiffness of spring between beads | ks | 1.74329 × 10−4 J m−2 | ||
| Rigid NP | Symbol | Value | ||
| Radius | Rrigid | 50 nm | ||
| Stiffness | krigid | 1 J m−2 | ||
| Rigid-tethered NP | Symbol | Value | ||
| Radius | Rrigid-tethered | 50 nm | ||
| Stiffness of the tether | kt | 3.3 × 10−4 J m−2 | ||