Journal of Mathematical Chemistry

, Volume 56, Issue 10, pp 3089–3114 | Cite as

Mathematical analysis and numerical simulations for the HSP70 synthesis model

  • Gülnihal MeralEmail author
  • Neslihan Nesliye Pelen
Original Paper


The heat shock proteins (HSPs) protect the other proteins in the process of folding under stressful conditions such as oxygen deprivation, hypothermy or presence of alcohol. They have also an important role in tumour invasion. In this paper, the existence, uniqueness and permanence properties for the solution of the mathematical model which focuses on the synthesis of HSP70 is proved. Moreover the numerical simulations are performed by using FDM, namely a combination of backward and forward Euler methods, and the results confirm the expected behaviour of the solution.


Existence and uniqueness Permenance HSP70 synthesis Mathematical modelling FDM 


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© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Department of MathematicsAnkara Yıldırım Beyazıt UniversityAnkaraTurkey
  2. 2.Mathematics Department, Arts and Science FacultyOndokuz Mayıs UniversityKurupelit, SamsunTurkey

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