**5. Conclusion**

38 MATLAB – A Fundamental Tool for Scientific Computing and Engineering Applications – Volume 1

representing its field by iso-surface view is very clear and easy to interpret.

**Figure 21.** Sliced Semi-transparent View of Electric Field around Microtubule (see 4.1)

In the figure 23. you can see part of the code used to generate such visualization. More information on isosurface can be found in the Product Help of Matlab. In this particular example we wanted to view results in the form of several iso-surfaces. First of all we determined the range of data obtained through Matlab analysis of EM field around our

Then we need to choose which values we want to be visualized as iso-surfaces (in this case, values range is extremely wide therefore we choose only exponents – 7, 5, 2). Then we need to find which positions at colour scale are lower than our actually viewed value (we generate the colour scale using function jet(length of colour scale)). Then we simply use function patch (to build 3D wire model of locations with desired values – i.e. 1e2, 1e5, 1e7) and we set its colour which we choose accordingly from our generated colour

Additionally you can choose lighting (particularly useful in this case is gouraud lighting which does not produce any glances on multiple iso-surfaces). It is also beneficial to use

alpha which is lowered with each loop (to retain clarity of the visualization).

(Havelka, 2009).

sample microtubule.

scheme.

In our work EM field simulations of microtubule model were entirely conducted using Matlab. Tubulin heterodimers were represented as vibrating elementary electrical dipoles (EED) and EM field was determined for each of these EEDs. Combining the results led to unravelling the EM field produced by these complicated structures at whole

For the purpose of this text we shall look at visualization of these results we used to present obtained EM field. Because microtubules are symmetrical structures we have found out that

> In this work we have presented basic methods of how to process obtained rough data from commercial EM simulators or even process data from our own simulations done in Matlab. We show how Matlab processing can be greatly beneficial in highlighting results in many ways that are unseen in commercial EM simulators.

We present very simple way to modify data in the form suitable for further processing and then we illustrate how to view these data in ways highlighting specific aspects (i.e. values in specific regions (tumorous tissue), evaluation of treatment efficiency, utilization of Matlab in primary research, 3D viewing etc.). These innovative ways of combination of specialized software with researcher's versatile tool, such as Matlab is, yield in very productive and efficient way of scientific exploration of the vast field of electromagnetism.

**Figure 23.** Generation of Iso-surface View of EM Field around Microtubule

The results that are obtained in our research of EM field around living cell help us understand crucial facts about this part of our lives which has to be truly discovered yet. Matlab in this instance allows us to visualize result so we can support or on the other hand disapprove many theories (e.g. transportation of particles around microtubule via EM field).
