Attraction-Repulsion Forces Between Biological Cells: A Theoretical Explanation of Empirical Formulas

  • Olga Kosheleva
  • Martine Ceberio
  • Vladik KreinovichEmail author
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 276)


Biological cells attract and repulse each other: if they get too close to each other, they repulse, and if they get too far away from each other, they attract. There are empirical formulas that describe the dependence of the corresponding forces on the distance between the cells. In this paper, we provide a theoretical explanation for these empirical formulas.



This work was supported in part by NSF grants HRD-0734825, HRD-1242122, and DUE-0926721, and by an award from Prudential Foundation. The authors are thankful to Dr. Robert Smits from New Mexico State University for valuable discussions.


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Olga Kosheleva
    • 1
  • Martine Ceberio
    • 1
  • Vladik Kreinovich
    • 1
    Email author
  1. 1.University of Texas at El PasoEl PasoUSA

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