7 Citations (Scopus)

Abstract

Numerous therapies have been implemented in an effort to minimize the debilitating effects of the degenerative eye disease Retinitis Pigmentosa (RP), yet none have provided satisfactory long-term solution. To date there is no treatment that can halt the degeneration of photoreceptors. The recent discovery of the RdCVF protein has provided researchers with a potential therapy that could slow the secondary wave of cone death. In this work, we build on an existing mathematical model of photoreceptor interactions in the presence of RP and incorporate various treatment regiments via RdCVF. Our results show that an optimal control exists for the administration of RdCVF. In addition, our numerical solutions show the experimentally observed rescue effect that the RdCVF has on the cones.

Original languageEnglish (US)
Pages (from-to)292-313
Number of pages22
JournalBulletin of Mathematical Biology
Volume76
Issue number2
DOIs
StatePublished - Feb 2014

Fingerprint

Retinitis Pigmentosa
cones (retina)
photoreceptors
Therapy
Cones
eye disease
Optimal Control
Cone
eye diseases
therapeutics
Eye Diseases
Degeneration
Theoretical Models
mathematical models
researchers
Research Personnel
Numerical Solution
Mathematical Model
Mathematical models
death

Keywords

  • Optimal control
  • Rod-derived viability factor

ASJC Scopus subject areas

  • Neuroscience(all)
  • Computational Theory and Mathematics
  • Mathematics(all)
  • Pharmacology
  • Immunology
  • Biochemistry, Genetics and Molecular Biology(all)
  • Agricultural and Biological Sciences(all)
  • Environmental Science(all)
  • Medicine(all)

Cite this

Optimal Control in the Treatment of Retinitis Pigmentosa. / Camacho, Erika; Melara, L. A.; Villalobos, M. C.; Wirkus, Stephen.

In: Bulletin of Mathematical Biology, Vol. 76, No. 2, 02.2014, p. 292-313.

Research output: Contribution to journalArticle

Camacho, Erika ; Melara, L. A. ; Villalobos, M. C. ; Wirkus, Stephen. / Optimal Control in the Treatment of Retinitis Pigmentosa. In: Bulletin of Mathematical Biology. 2014 ; Vol. 76, No. 2. pp. 292-313.
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