Biomechanics and Modeling in Mechanobiology

, Volume 17, Issue 1, pp 169–180 | Cite as

Stress enhanced calcium kinetics in a neuron

  • Aayush Kant
  • Tanmay K. Bhandakkar
  • Nikhil V. Medhekar
Original Paper


Accurate modeling of the mechanobiological response of a Traumatic Brain Injury is beneficial toward its effective clinical examination, treatment and prevention. Here, we present a stress history-dependent non-spatial kinetic model to predict the microscale phenomena of secondary insults due to accumulation of excess calcium ions (Ca\(^{2+}\)) induced by the macroscale primary injuries. The model is able to capture the experimentally observed increase and subsequent partial recovery of intracellular Ca\(^{2+}\) concentration in response to various types of mechanical impulses. We further establish the accuracy of the model by comparing our predictions with key experimental observations.


Coupled stress diffusion model Traumatic Brain Injury Damage measure for neurons 

Mathematics Subject Classification

74L15 92-08 92C10 


Compliance with ethical standards

Conflict of interest

The authors have no conflict of interest.

Supplementary material

10237_2017_952_MOESM1_ESM.pdf (168 kb)
Supplementary material 1 (pdf 168 KB)
10237_2017_952_MOESM2_ESM.nb (77 kb)
Supplementary material 2 (nb 76 KB)
10237_2017_952_MOESM3_ESM.nb (58 kb)
Supplementary material 3 (nb 57 KB)


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Copyright information

© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Department of Material Science and EngineeringMonash UniversityVictoriaAustralia
  2. 2.Department of Mechanical EngineeringIndian Institute of Technology BombayPowai, MumbaiIndia
  3. 3.IITB-Monash Research AcademyIIT BombayPowai, MumbaiIndia

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