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Fig. 8. Model of bleb mode and filopodia-lamellipodia mode motility. (A) At equilibrium, the membrane-cortex system is fully intact and no detachment has occurred. The cytoplasmic pressure is balanced by the pressure resulting from cortical tension. We can write the balance of forces across the cell membrane as:
 | (1) |
 | (2) |
 | (3) | where P is the cytoplasmic pressure; Tc, cortical tension, Tm, membrane tension; , membrane-cortex adhesion term; and R, radius of the spherical cell. The cytoplasmic pressure consists of two terms,  the osmotic pressure across the membrane and the remainder Po a hydrostatic pressure purely due to contraction at  =0. If exceeds a threshold value th, the membrane will detach from its supporting cortex and a bleb will form (B). This may be achieved either mechanically, through increase of P, or through decrease of th due to some biochemical reaction that partially weakens or dissociates the bond. Detachment results in complete dissipation of in the corresponding area, which generates a pressure gradient of cytoplasmic fluid across the cell and pushes the detached membrane (C). The initial extension rate would be expected to be proportional to P-2Tm/R= + Po-2Tm/R, the differential osmotic pressure, and equal to 2 /R the lost adhesion term. In this model, we assume that the cell forms protrusions using energy stored in the equilibrium between inner pressure and cortical tension. Increase of milieu osmolarity would decrease the osmotic gradient,  , and thereby decrease the cortical tension according to equations 1 and 3 above. The decrease in cytoplasmic pressure allows the opposite end of the cell to retract, resulting in net centroid translocation. (D) Finally, a new layer of actin cortex is regenerated and the equilibrium state is restored (E). (F) Myosin-II-null cells move by using a pushing force generated by actin polymerization, without membrane detachment.
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