Recovering Diffusivities and Binding Rates via Uncaging

and the end conditions bx(0, t) = bx(`, t) = cx(0, t) = cx(`, t) = 0. Our task is to recover p ≡ {Db, Dc, k−, r, u} from knowledge of b(xj , ·) and Kd = k−/k+. Let us explicitly track the dependence of of b upon p by writing b = b(x, t; p) and write the IBVP above as R([b, c], p) = 0. Now differentiating R([b(p), c(p)], p) = 0 wrt p reveals ∂[b,c]R∂p[b, c] + ∂pR = 0 or ∂p[b(p), c(p)] = −∂[b,c]R([b(p), c(p)], p) ∂pR([b(p), c(p)], p) (1.3)g1 We consider min p Φ(p) (1.4)minp