Recovering the fragmentation rate in the growth-fragmentation equation

Alvaro Almeida Gomez, Jorge P. Zubelli

Research output: Contribution to journalArticlepeer-review


We consider the inverse problem of determining the fragmentation rate from noisy measurements in the growth-fragmentation equation. We use Fourier transform theory on locally compact groups to treat this problem for general fragmentation probabilities. We develop a regularization method based on spectral filtering, which allows us to deal with the inverse problem in weighted L 2 spaces. As a result, we obtain a regularization method with error of order O ( ϵ 2 m 2 m + 1 ) , where ɛ is the noise level and m > 0 is the a priori regularity order of the fragmentation rate.

Original languageBritish English
Article number015001
JournalInverse Problems
Issue number1
StatePublished - Jan 2022


  • Fourier transform on groups
  • growth-fragmentation equation
  • mathematical biology models
  • regularization techniques
  • size-structured models


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