Ten steps to investigate a cellular system with mathematical modeling

Cellular and intracellular processes are inherently complex due to the large number of components and interactions, which are often nonlinear and occur at different spatiotemporal scales. Because of this complexity, mathematical modeling is increasingly used to simulate such systems and perform experiments in silico, many orders of magnitude faster than real experiments and often at a higher spatiotemporal resolution. In this article, we will focus on the generic modeling process and illustrate it with an example model of membrane lipid turnover.

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Phospholipid:Diacylglycerol Acyltransferase Is a Multifunctional Enzyme Involved in Membrane Lipid Turnover and Degradation While Synthesizing Triacylglycerol in the Unicellular Green Microalga Chlamydomonas reinhardtii

The Plant Cell ◽

10.1105/tpc.112.100701 ◽

2012 ◽

Vol 24 (9) ◽

pp. 3708-3724 ◽

Cited By ~ 175

Author(s):

Kangsup Yoon ◽

Danxiang Han ◽

Yantao Li ◽

Milton Sommerfeld ◽

Qiang Hu

Keyword(s):

Chlamydomonas Reinhardtii ◽

Membrane Lipid ◽

Multifunctional Enzyme ◽

Green Microalga ◽

Lipid Turnover

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The Implementation of Anti-Attack AES Mathematical Model in Library Network Encryption

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.756-759.2944 ◽

2013 ◽

Vol 756-759 ◽

pp. 2944-2947

Author(s):

Yu Fen Shen

Keyword(s):

Mathematical Modeling ◽

Mathematical Model ◽

Advanced Encryption Standard ◽

Safety Requirements ◽

Model Library ◽

Modeling Process ◽

Encryption And Decryption ◽

Library Network ◽

The Mathematical Model ◽

Replacement Operation

With the continuous improvement of university library network safety requirements, this paper studies encryption and decryption algorithm analyzing advanced encryption standard AES of the computer, substitution and replacement operation in encryption and decryption process, and key expansion mathematical model. The detailed design of the mathematical modeling process of the algorithm is given, and the whole mathematical modeling process is more thoroughly analyzed. According to the model, library network encryption application is completed. Verified by computer simulation technology, the mathematical model has a good robustness and achieved good results.

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The Mathematical Modeling of the Compressive Stresses on the Cutting Tool in Machining of Inconel 718

Materials Science Forum ◽

10.4028/www.scientific.net/msf.526.229 ◽

2006 ◽

Vol 526 ◽

pp. 229-234 ◽

Cited By ~ 2

Author(s):

Ulvi Şeker ◽

Adem Kurt

Keyword(s):

Mathematical Modeling ◽

Power Systems ◽

Cutting Forces ◽

Inconel 718 ◽

Nuclear Power ◽

Cutting Tool ◽

Stress Distributions ◽

Modeling Process ◽

Compressive Stresses ◽

Tool Stresses

In this paper, a mathematical model has been developed for the cutting tool stresses in machining of nickel-based super alloy Inconel 718 used in aircraft and spacecraft industries, nuclear power systems and steam generators etc. necessitating oxidation and corrosion resistance, high temperature and strength. The cutting forces were measured by a series of experimental measurements and stress distributions on the cutting tool were analyzed by means of the finite element method using Ansys software. The mathematical modeling process of the compressive stresses in x, y and z directions was carried out with multiple regression analysis regarding to Ansys stress results depending on the cutting forces and the chip–tool contact area. It is found that model results had good agreement with the Ansys stress results.

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Based on the Mathematical Modeling Thought Method Exploration

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.450-451.646 ◽

2012 ◽

Vol 450-451 ◽

pp. 646-649 ◽

Cited By ~ 1

Author(s):

Zhi Bin Liu

Keyword(s):

Mathematical Modeling ◽

Mathematical Method ◽

Approximate Solution ◽

Mathematical Thinking ◽

Teaching Material ◽

Mathematical Language ◽

Actual Problem ◽

Teaching Process ◽

Modeling Process

Mathematical modeling is a mathematical thinking method, is using the mathematical language and means, through the abstract, simplified can approximate solution actual problem a powerful mathematical method. In this paper, according to the teaching of the specific example analyzed of mathematical modeling of understanding, base the teaching material, mathematical modeling process, strengthen the revealing of mathematical modeling consciousness training, improve the ability of mathematical modeling. Mathematical modeling thought and method of the seepage, must be run through the teaching process throughout, must have the plan, a step-by-step and destination permeates gradually.

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A Generic Modeling Process to Support Functional Fault Model Development

AIAA Infotech @ Aerospace ◽

10.2514/6.2016-2134 ◽

2016 ◽

Cited By ~ 1

Author(s):

William A. Maul ◽

Joseph Hemminger ◽

Rebecca Oostdyk ◽

Rachael Bis

Keyword(s):

Model Development ◽

Fault Model ◽

Support Functional ◽

Modeling Process ◽

Generic Modeling

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Sphingolipids related to apoptosis from the point of view of membrane structure and topology

Biochemical Society Transactions ◽

10.1042/bst0290819 ◽

2001 ◽

Vol 29 (6) ◽

pp. 819-824 ◽

Cited By ~ 10

Author(s):

W. J. van Blitterswijk ◽

A. H. van der Luit ◽

W. Caan ◽

M. Verheij ◽

J. Borst

Keyword(s):

Membrane Structure ◽

De Novo ◽

Cell Signalling ◽

Membrane Lipid ◽

Point Of View ◽

Sphingolipid Metabolism ◽

Membrane Microdomains ◽

And Topology ◽

Lipid Turnover ◽

Ceramide Accumulation

Sphingolipids and their metabolites are implicated in signal transduction, but the mechanisms are still poorly understood. In particular, the presumed function of ceramide as a second messenger remains controversial. Here, we emphasize the importance of both ceramide and sphingomyelin for membrane structure. The effects of sphingo-lipid turnover in the induction and effector phases of apoptosis are explained by their impact on membrane microdomains that are relevant for cell signalling or changes in morphology. The topology of sphingolipid metabolism is important because of their limited transbilayer and inter-membrane movement. For instance, glycosylceramide synthase converts de novo synthesized ceramide to glycosylceramide, but it is neither a general attenuator of ceramide accumulation at the plasma membrane, nor of the apoptotic process. Synthetic alkyl-lysophospholipids modulate membrane-lipid composition and, therefore, apoptosis sensitivity.

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