TY - JOUR
T1 - Smeared multiscale finite element model for electrophysiology and ionic transport in biological tissue
AU - Kojic, M.
AU - Milosevic, M.
AU - Simic, V.
AU - Geroski, V.
AU - Ziemys, A.
AU - Filipovic, N.
AU - Ferrari, M.
N1 - Funding Information:
The authors acknowledge support from the City of Kragujevac, Serbia .
Funding Information:
This paper is supported by the SILICOFCM project that has received funding from the European Union’s Horizon 2020 research and innovation programme under grant agreement No 777204 . This article reflects only the author's view. The Commission is not responsible for any use that may be made of the information it contains. This research was also funded by Ministry of Education and Science of Serbia , grants OI 174028 and III 41007 .
Funding Information:
The authors acknowledge support from the City of Kragujevac, Serbia.This paper is supported by the SILICOFCM project that has received funding from the European Union's Horizon 2020 research and innovation programme under grant agreement No 777204. This article reflects only the author's view. The Commission is not responsible for any use that may be made of the information it contains. This research was also funded by Ministry of Education and Science of Serbia, grants OI 174028 and III 41007.
Publisher Copyright:
© 2019
PY - 2019/5
Y1 - 2019/5
N2 - Basic functions of living organisms are governed by the nervous system through bidirectional signals transmitted from the brain to neural networks. These signals are similar to electrical waves. In electrophysiology the goal is to study the electrical properties of biological cells and tissues, and the transmission of signals. From a physics perspective, there exists a field of electrical potential within the living body, the nervous system, extracellular space and cells. Electrophysiological problems can be investigated experimentally and also theoretically by developing appropriate mathematical or computational models. Due to the enormous complexity of biological systems, it would be almost impossible to establish a detailed computational model of the electrical field, even for only a single organ (e.g. heart), including the entirety of cells comprising the neural network. In order to make computational models feasible for practical applications, we here introduce the concept of smeared fields, which represents a generalization of the previously formulated multiscale smeared methodology for mass transport in blood vessels, lymph, and tissue. We demonstrate the accuracy of the smeared finite element computational models for the electric field in numerical examples. The electrical field is further coupled with ionic mass transport within tissue composed of interstitial spaces extracellularly and by cytoplasm and organelles intracellularly. The proposed methodology, which couples electrophysiology and molecular ionic transport, is applicable to a variety of biological systems.
AB - Basic functions of living organisms are governed by the nervous system through bidirectional signals transmitted from the brain to neural networks. These signals are similar to electrical waves. In electrophysiology the goal is to study the electrical properties of biological cells and tissues, and the transmission of signals. From a physics perspective, there exists a field of electrical potential within the living body, the nervous system, extracellular space and cells. Electrophysiological problems can be investigated experimentally and also theoretically by developing appropriate mathematical or computational models. Due to the enormous complexity of biological systems, it would be almost impossible to establish a detailed computational model of the electrical field, even for only a single organ (e.g. heart), including the entirety of cells comprising the neural network. In order to make computational models feasible for practical applications, we here introduce the concept of smeared fields, which represents a generalization of the previously formulated multiscale smeared methodology for mass transport in blood vessels, lymph, and tissue. We demonstrate the accuracy of the smeared finite element computational models for the electric field in numerical examples. The electrical field is further coupled with ionic mass transport within tissue composed of interstitial spaces extracellularly and by cytoplasm and organelles intracellularly. The proposed methodology, which couples electrophysiology and molecular ionic transport, is applicable to a variety of biological systems.
KW - Biological tissue
KW - Cell interior
KW - Composite smeared finite elements
KW - Electrophysiology
KW - Multiscale models
KW - Nerve network
KW - Organelles
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U2 - 10.1016/j.compbiomed.2019.03.023
DO - 10.1016/j.compbiomed.2019.03.023
M3 - Article
C2 - 31015049
AN - SCOPUS:85064435240
SN - 0010-4825
VL - 108
SP - 288
EP - 304
JO - Computers in Biology and Medicine
JF - Computers in Biology and Medicine
ER -