N.V. Kovalenko1, K.V. Sovin2, O.A. Ryabushkin3
1−3 Fryazino branch of Kotelnikov Institute of Radioengineering and Electronics of RAS (Fryazino, Russia)
1,2 Moscow Institute of Physics and Technology (Dolgoprudny, Russia)
Problem formulating. The vital processes of biological tissues are closely related to their electrical properties. An important task is to create a physical and mathematical model that will link the electrical properties of tissues to their physiological state. Goal. Construction of a model of biological tissue electrical properties based on the equations of ion electrodiffusion.
Result. The paper presents the model of biological tissue electrical properties based on the ion electrodiffusion equations, and compares the simulation results with the experimental results presented in the literature.
Practical meaning. The presented model can be used to describe processes occurring in tissue at the level of concentration and conductivity of ions in individual cells and cell membranes. In particular, the process of tissue degradation during laser radiation heating can be described.
Kovalenko N.V., Sovin K.V., Ryabushkin O.A. Mathematical modeling of biological tissues electrical conductivity based on the ion electrodiffusion equations. Nonlinear World. 2021. V. 19. № 2. 2021. P. 10−13. DOI: https://doi.org/10.18127/j20700970202102-02 (In Russian)
- Freeborn T.J. A survey of fractional-order circuit models for biology and biomedicine. IEEE J. Emerg. Sel. Top. Circuits Syst. 2013. V. 3. P. 416–424.
- Rubin A.B. Biofizika. V 2 tomah. M.: Izd-vo Moskovskogo universiteta. 2004 (In Russian).
- Rigaud B. et al. In vitro tissue characterization and modelling using electrical impedance measurements in the 100 Hz - 10 MHz frequency range. Physiol. Meas. 1995. V. 16. P. A15–28.