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Reversible Target-Binding Kinetics of Multiple Impatient Particles
Certain biochemical reactions can only be triggered after binding of a sufficient number of particles to a specific target region such as an enzyme or a protein sensor. We investigate the distribution of the reaction time, i.e., the first instance when all independently diffusing particles are bound to the target. When each particle binds irreversibly, this is equivalent to the first-passage time of the slowest (last) particle. In turn, reversible binding to the target renders the problem muchdoi:10.48550/arxiv.2112.15069 fatcat:ungoh4uqxna3ro5dxhvl2grgii