DNA Replication and Cell Cycle Progression Regulatedby Long Range Interaction between Protein Complexes bound to DNA.

A nonstationary interaction that controlsDNA replication and the cell cycle isderived from many-body physics in achemically open T cell. The model predictsa long range force F'(ξ) =- (κ/2) ξ(1 - ξ)(2 - ξ)between thepre-replication complexes (pre-RCs) boundby the origins in DNA, ξ = ϕ/N being the relativedisplacement of pre-RCs, ϕ the number of pre-RCs, N the number of replicons to be replicated,and κ the compressibilitymodulus in the lattice of pre-RCs whichbehaves dynamically like an elasticallybraced string. Initiation of DNAreplication is induced at the thresholdϕ = N by a switch ofsign of F''(ξ), fromattraction (-) and assembly in the G(1) phase (0<ϕ<N), to repulsion (+) and partialdisassembly in the S phase (N< ϕ < 2N), withrelease of licensing factors from pre-RCs,thus explaining prevention ofre-replication. Replication is terminatedby a switch of sign of force at ϕ = 2N, from repulsion inS phase back to attraction in G(2), when all primed replicons havebeen duplicated once. F'(0) = 0corresponds to a resting cell in theabsence of driving force at ϕ= 0. The model thus ensures that the DNAcontent in G(2) cells is exactlytwice that of G(1) cells. The switch of interaction at the R-point, at which N pre-RCs have been assembled, starts the release of Rb protein thus also explaining the shift in the Rb phosphorylation from mitogen-dependent cyclinD to mitogen-independent cyclin E.Shape,slope and scale of the response curvesderived agree well with experimental datafrom dividing T cells and polymerising MTs,the variable length of which is due to anonlinear dependence of the growthamplitude on the initial concentrations oftubulin dimers and guanosine-tri-phosphate(GTP). The model also explains the dynamic instabilityin growing MTs.