A resistor-capacitor(RC)circuit model is proposed to study the effect of nanosecond pulsed electricfield on cells according to the structure and electrical parameters of cells.After a nanosecond step fieldhas been app...A resistor-capacitor(RC)circuit model is proposed to study the effect of nanosecond pulsed electricfield on cells according to the structure and electrical parameters of cells.After a nanosecond step fieldhas been applied,the variation of voltages across cytomembrane and mitochondria membrane both in nor-mal and in malignant cells are studied with this model.The time for selectively targeting the mitochondriamembrane and malignant cell can be evaluated much easily with curves that show the variation of voltageacross each membrane with time.Ramp field is the typical field applied in electrobiology.The voltagesacross each membrane induced by ramp field are analyzed with this model.To selectively target the mito-chondria membrane,proper range of ramp slope is needed.It is relatively difficult to decide the range ofa slope to selectively affect the malignant cell.Under some conditions,such a range even does not exist.展开更多
Two cubical 3D electric circuits with single and double capacitors and twelve ohmic resistors are considered. The resistors are the sides of the cube. The circuit is fed with a single internal emf. The charge on the c...Two cubical 3D electric circuits with single and double capacitors and twelve ohmic resistors are considered. The resistors are the sides of the cube. The circuit is fed with a single internal emf. The charge on the capacitor(s) and the current distributions of all twelve sides of the circuit(s) vs. time are evaluated. The analysis requires solving twelve differential-algebraic intertwined symbolic equations. This is accomplished by applying a Computer Algebra System (CAS), specifically Mathematica. The needed codes are included. For a set of values assigned to the elements, the numeric results are depicted.展开更多
基金Supported by National Natural Science Foundation of China (50477007)
文摘A resistor-capacitor(RC)circuit model is proposed to study the effect of nanosecond pulsed electricfield on cells according to the structure and electrical parameters of cells.After a nanosecond step fieldhas been applied,the variation of voltages across cytomembrane and mitochondria membrane both in nor-mal and in malignant cells are studied with this model.The time for selectively targeting the mitochondriamembrane and malignant cell can be evaluated much easily with curves that show the variation of voltageacross each membrane with time.Ramp field is the typical field applied in electrobiology.The voltagesacross each membrane induced by ramp field are analyzed with this model.To selectively target the mito-chondria membrane,proper range of ramp slope is needed.It is relatively difficult to decide the range ofa slope to selectively affect the malignant cell.Under some conditions,such a range even does not exist.
文摘Two cubical 3D electric circuits with single and double capacitors and twelve ohmic resistors are considered. The resistors are the sides of the cube. The circuit is fed with a single internal emf. The charge on the capacitor(s) and the current distributions of all twelve sides of the circuit(s) vs. time are evaluated. The analysis requires solving twelve differential-algebraic intertwined symbolic equations. This is accomplished by applying a Computer Algebra System (CAS), specifically Mathematica. The needed codes are included. For a set of values assigned to the elements, the numeric results are depicted.
