DERIVING AN ELECTRIC CIRCUIT EQUIVALENT MODEL OF CELL MEMBRANE PORES IN ELECTROPORATION

2013 ◽  
Vol 08 (01n02) ◽  
pp. 21-32 ◽  
Author(s):  
B. I. MORSHED ◽  
M. SHAMS ◽  
T. MUSSIVAND
Keyword(s):  
Transmembrane Potential ◽  
Electric Circuit ◽  
Behavior Modeling ◽  
Equivalent Model ◽  
Passive Components ◽  
Membrane Pores ◽  
Equivalent Models ◽  
Dynamic Components ◽  
Time Invariant ◽  
Transmembrane Resistance

Electroporation is the formation of reversible pores in cell membranes under a brief pulse of high electric field. Dynamics of pore formation during electroporation suggests that the transmembrane potential would settle approximately at the threshold transmembrane potential and the transmembrane resistance would decrease significantly from the state of relaxation. The current electric circuit equivalent models for electroporation containing time-invariant, static and passive components are unable to capture the pore dynamics. A biophysically-inspired electric circuit equivalent model containing dynamic components for membrane pores has been derived using biological parameters. The model contains a voltage-controlled resistor driven by a two-stage cascaded integrator that is activated through a voltage-gated switch. Simulation results with the derived model showed higher accuracy compared to a commonly used model, where the transmembrane resistance decreased million-fold at the onset of electroporation and the transmembrane potential settled at 99.5% of the critical transmembrane potential, thus enabling improved dynamic behavior modeling ability of the pores in electroporation. The derived model allows fast and reliable analysis of this biophysical phenomenon and potentially aids in optimization of various parameters involved in electroporation.

FUZZY CENTRE BASED SOLUTION OF FUZZY COMPLEX LINEAR SYSTEM OF EQUATIONS

2013 ◽  
Vol 21 (04) ◽  
pp. 629-642 ◽  
Author(s):  
DIPTIRANJAN BEHERA ◽  
S. CHAKRAVERTY
Keyword(s):  
Linear Time ◽  
Linear Equations ◽  
Electric Circuit ◽  
System Of Linear Equations ◽  
New Approach ◽  
Linear System Of Equations ◽  
Linear Time Invariant ◽  
Complex Linear ◽  
Time Invariant ◽  
Good Agreement

A new approach to solve Fuzzy Complex System of Linear Equations (FCSLE) based on fuzzy complex centre procedure is presented here. Few theorems related to the investigation are stated and proved. Finally the presented procedure is used to analyze an example problem of linear time invariant electric circuit with complex crisp coefficient and fuzzy complex sources. The results obtained are also compared with the known solutions and are found to be in good agreement.

scholarly journals Equivalent Model of Jump Flushing EDM. (1st Report). Proposal of a Model Represented by Electric Circuit.

1992 ◽  
Vol 26 (51) ◽  
pp. 39-49
Author(s):  
Masamitsu TSUCHIYA ◽  
Tsutomu KANEKO ◽  
Yasuhiro ABE ◽  
Seiji SATO
Keyword(s):  
Electric Circuit ◽  
Equivalent Model

Study on the Amendment Leaf Spring Equivalent Model

2014 ◽  
Vol 633-634 ◽  
pp. 1148-1153
Author(s):  
Gao Jun Liu ◽  
Tie Zhu Zhang ◽  
Hong Xin Zhang ◽  
Lu Zou Zhang ◽  
Ben Ming Duan
Keyword(s):  
High Stress ◽  
Lateral Force ◽  
Longitudinal Force ◽  
Equivalent Model ◽  
Leaf Spring ◽  
Processing Problem ◽  
Equivalent Models ◽  
Electric Bus ◽  
Actual Force

Aiming at the processing problem of electric bus leaf spring equivalent model, the amendment leaf spring equivalent processing model is proposed after 3 kind leaf spring equivalent models are studied. This paper makes a comparison between the amendment leaf spring equivalent model and other models. Results show that the amendment leaf spring equivalent model not only considers the longitudinal force and lateral force of the leaf spring, but also avoids emergence the high stress area. So the amendment leaf spring equivalent model is more conform to the actual force situation of the electric bus frame, and it can provide the reliable constraint conditions for the next electric bus lightweight.

scholarly journals Modeling Problem of Equivalent Mechanical Models of a Sloshing Fluid

2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Yu-Chun Li ◽  
Hong-Liang Gou
Keyword(s):  
Traditional Method ◽  
Equivalent Model ◽  
Flat Bottom ◽  
Modeling Methods ◽  
Equivalent Models ◽  
Modified Method ◽  
Equivalent Mechanical Model ◽  
Mechanical Models ◽  
Correct Location ◽  
Cylindrical Tanks

Because the defects in the existing modeling methods for the equivalent mechanical model of a sloshing fluid have led to incorrect or inaccurate results in the existing equivalent models, this paper discusses three different modeling methods for the equivalent models: the traditional method, Housner’s method, and the modified method. The equivalent models obtained by the three methods are, respectively, presented and compared with each other for a liquid in rectangular and upright cylindrical tanks. The results show that the traditional method cannot provide the correct location expressions of the equivalent masses because the two types of different excitations are simultaneously used in one equivalent model. An equivalent model is exclusively applicable to a certain excitation (a translational excitation in a certain direction or a rotational excitation about a certain axis). Housner’s method is based on physical intuition, instead of fluid dynamics theory, therefore the calculation precision of Housner’s solution is not satisfactory. Housner’s method is only suitable for vertical tanks with a flat bottom subjected to a horizontal excitation. Based on a conceptual mistake in the traditional method, the concept of the equivalent model is reclarified, and the modified equivalence method is therefore suggested. A supplementary solution for the equivalent model in a cylindrical tank is presented. The correct models can be acquired using the modified equivalence method, which is applicable to tanks of arbitrary shape.

Behavior Modeling for Product Design Support Focusing on Topological Information of Components

2020 ◽  
Author(s):  
Itsuki Hatano ◽  
Hidefumi Wakamatsu ◽  
Eiji Morinaga
Keyword(s):  
Petri Net ◽  
Electric Circuit ◽  
Failure Detection ◽  
Electrical Circuit ◽  
Behavior Modeling ◽  
Design Stage ◽  
Conventional Model ◽  
Topological Information ◽  
Current Flows ◽  
Physical Phenomena

Abstract In recent years, with globalization in industry, there is a concern about increase of defects caused by using products in unexpected ways. To solve this problem, a method to predict such defects in a product in advance in the design stage has been proposed, in which behavior of a product and physical phenomena caused by a way of usage are represented by Petri net. However, in order to achieve a more accurate prediction, it is necessary to consider topological information about components of a product. In this research, we aim to represent topological information about elements of an electric circuit, and to make it possible to detect failures in cooperation with the method of the previous research. By modeling each element of an electrical circuit by Petri net and connecting them each other, it is possible to build a model that represents topological information about the circuit, and it can be checked whether there is a closed circuit and which element the current flows through. In addition, by reflecting the information about the circuit to the conventional model, more accurate failure detection can be performed. The fundamental effectiveness of the method was shown by case studies using an example circuit.

A New Methodology for Circuit Analysis with Reverse Analysis Capability

2017 ◽  
Vol 26 (06) ◽  
pp. 1750101
Author(s):  
Mohammad Rahimi ◽  
Behrad Soleymani ◽  
Farrokh Aminifar ◽  
Amin Gholami
Keyword(s):  
Linear Time ◽  
Electric Circuit ◽  
Circuit Analysis ◽  
Passive Element ◽  
Electric Circuits ◽  
Linear Time Invariant ◽  
Basic Circuit ◽  
Reverse Analysis ◽  
Circuit Elements ◽  
Time Invariant

This paper presents a novel technique for the analysis of looped linear time-invariant electric circuits. This approach works in both time and Laplace domains; any type of elements could hence be incorporated. The circuit elements are partitioned into twofold classes of basic circuit and subsidiaries. The basic circuit is a spanning tree of the network, and the subsidiaries include circuit elements hypothetically removed from the looped electric circuit to open the loops. The subsidiaries include a suit of passive elements which might not even make any interconnected circuit. The circuit governing equations of flow and energy conservation are manipulated so that branch currents in the subsidiaries and branch voltages in the basic circuit are considered as independent variables to calculate passive element properties (impedance of all passive elements) directly. In contrast to existing methods, this technique is tailored for the circuit analysis in a reverse manner. As a complement for conventional circuit analysis techniques, this method can be taught in the undergraduate program to offer the students an alternative tool for the circuit analysis.

scholarly journals TRuML: A Translator for Rule-Based Modeling Languages

2017 ◽  
Author(s):  
Ryan Suderman ◽  
William S. Hlavacek
Keyword(s):  
Approximate Model ◽  
Equivalent Model ◽  
Modeling Languages ◽  
Practical Application ◽  
Biochemical Reaction Networks ◽  
Software Suite ◽  
Rule Based ◽  
Equivalent Models ◽  
Simulation Languages ◽  
Input Model

ABSTRACTRule-based modeling languages, such as the Kappa and BioNetGen languages (BNGL), are powerful frameworks for modeling the dynamics of complex biochemical reaction networks. Each language is distributed with a distinct software suite and modelers may wish to take advantage of both toolsets. This paper introduces a practical application called TRuML that translates models written in either Kappa or BNGL into the other language. While similar in many respects, key differences between the two languages makes translation sufficiently complex that automation becomes a useful tool. TRuML accommodates the languages’ complexities and produces a semantically equivalent model in the alternate language of the input model when possible and an approximate model in certain other cases. Here, we discuss a number of these complexities and provide examples of equivalent models in both Kappa and BNGL.CCS CONCEPTS• Applied computing → Systems biology; • Computing methodologies → Simulation languages;

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