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Article Dans Une Revue Discrete and Continuous Dynamical Systems - Series B Année : 2020

Estimating the division rate from indirect measurements of single cells

Résumé

Is it possible to estimate the dependence of a growing and dividing population on a given trait in the case where this trait is not directly accessible by experimental measurements, but making use of measurements of another variable? This article adresses this general question for a very recent and popular model describing bacterial growth, the so-called incremental or adder model. In this model, the division rate depends on the increment of size between birth and division, whereas the most accessible trait is the size itself. We prove that estimating the division 10 rate from size measurements is possible, we state a reconstruction formula in a deterministic and then in a statistical setting, and solve numerically the problem on simulated and experimental data. Though this represents a severely ill-posed inverse problem, our numerical results prove to be satisfactory.
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Dates et versions

hal-02175633 , version 1 (11-07-2019)

Identifiants

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Marie Doumic, Adélaïde Olivier, Lydia Robert. Estimating the division rate from indirect measurements of single cells. Discrete and Continuous Dynamical Systems - Series B, 2020, 25 (10), pp.3931--3961. ⟨10.3934/dcdsb.2020078⟩. ⟨hal-02175633⟩
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