Multiple traces formulation and semi-implicit scheme for modelling biological cells under electrical stimulation

Keyphrases

• Electrical Stimulation 100%
• Biological Cells 100%
• Boundary Integral Operators 100%
• Semi-implicit Scheme 100%
• Multiple Traces Formulation 100%
• External Stimuli 50%
• Dynamical Model 50%
• System of Equations 50%
• Numerical Results 50%
• Electric Current 50%
• Sobolev Spaces 50%
• Mapping Properties 50%
• Electric Potential 50%
• Semi-implicit 50%
• Low-order Discretization 50%
• Cellular Shape 50%
• Nonlinear Ordinary Differential Systems 50%
• Multi-cell 50%
• Biological Behavior 50%
• Hodgkin-Huxley 50%
• Discretization Scheme 50%
• Nonlinear Evolution Equations 50%
• Electrical Behavior 50%
• Spectral-spatial Feature 50%
• Multicellular Systems 50%
• Spatial Discretization 50%
• Analytic Semigroup Theory 50%
• Implicit Time-stepping Schemes 50%

INIS

• space 100%
• stimulation 100%
• coupling 100%
• modeling 100%
• nonlinear problems 100%
• tools 50%
• interactions 50%
• dimensions 50%
• stimuli 50%
• solutions 50%
• equations 50%
• mapping 50%
• accounting 50%
• shape 50%
• smoothness 50%
• electric currents 50%

Mathematics

• Nonlinear 100%
• Integral Operator 100%
• Dynamical Model 50%
• Finite Time 50%
• Time Step 50%
• Two Dimensions 50%
• Discretization 50%
• Sobolev Space 50%
• System Of Ordinary Differential Equations 50%
• Evolution Problem 50%
• Semigroup 50%
• Spatial Discretization 50%