Here is one I've been wanting to read (but haven't found the time yet):

The neural and computational bases of semantic cognition

Matthew A. Lambon Ralph, Elizabeth Jefferies, Karalyn Patterson & Timothy T. Rogers

http://www.nature.com/nrn/journal/v18/n1/abs/nrn.2016.150.html

I recommend going to Myers's source, Mark Beeman.  His co-edited book with Christine Chiarello, 1998, has a good overview / introduction. Beeman's current work looks more at creativity than semantic representations specifically, but others have used the model in people who do not have brain injuries, e.g.,

Graves, W. W., Binder, J. R., Desai, R. H., Conant, L. L., & Seidenberg, M. S. (2010). Neural correlates of implicit and explicit combinatorial semantic processing. NeuroImage, 53(2), 638–646. https://doi.org/10.1016/j.neuroimage.2010.06.055

Holtgraves, T. (2012). The role of the right hemisphere in speech act comprehension. Brain and Language, 121(1), 58–64. https://doi.org/10.1016/j.bandl.2012.01.003

Stothers, M. E. (in press). Breadth over depth in the semantic representations of adults with nonverbal learning disabilities. Language and Cognition

Dear Petar:

You may find some clues in the following articles. A quick way to check them out would be to search for "left" and "right" in each one.

Dehaene, Stanislas; Pegado, Felipe; Braga, Lucía W.; Ventura, Paulo; Nunes Filho, Gilberto; Jobert, Antoinette; Dehaene-Lambertz, Ghislaine; Kolinsky, Régine; Morais, José; Cohen, Laurent

2010 “How learning to read changes the cortical networks for vision and language,” in Science (The American Association for the Advancement of Science), vol. 330, 3 December 2010, pp. 1359-1364 (https://www.academia.edu/5606117/How_Learning_to_Read_Changes_the_Cortical_Networks_for_Vision_and_Language, accessed: 28 April 2017).

Lacey, Simon; Stilla, Randall; Deshpande, Gopikrishna; Zhao, Sinan; Stephens, Careese; McCormick, Kelly; Kemmerer, David; Sathian, K.

2017 “Engagement of the left striate body area during body-part metaphor comprehension,” in Brain and Language (Elsevier), vol. 166, pp. 1-18 (http://ac.els-cdn.com/S0093934X16300694/1-s2.0-S0093934X16300694-main.pdf?_tid=1b7ed1be-c24e-11e6-a1ed-00000aacb360&acdnat=1481755320_eec62dcf1b5fa33175ae96114d012186, accessed: 14 December 2016).

Lacey, Simon; Stilla, Randall; Sathian, K.

2012 “Metaphorically feeling: comprehending textural metaphors activates somatosensory cortex,” in Brain and Language (Elsevier), vol. 120, pp. 416-421 (http://ac.els-cdn.com/S0093934X12000028/1-s2.0-S0093934X12000028-main.pdf?_tid=172d4640-c24e-11e6-9b23-00000aab0f02&acdnat=1481755313_dc23386aaa455b2d6cf988cca04d5ac4, accessed: 14 December 2016).

Peele, Jonathan E.

2012 “The hemispheric lateralization of speech processing depends on what ‘speech’ is: a hierarchical perspective,” in Frontiers in Human Neuroscience (Frontiers Media), vol. 6, article 309 (http://journal.frontiersin.org/article/10.3389/fnhum.2012.00309/full, uploaded: 16 November 2012, accessed: 1 July 2017).

Tian, Xing; Poeppel, David

2012 “Mental imagery of speech: linking motor and perceptual systems through internal simulation and estimation,” in Frontiers in Human Neuroscience (Frontiers Media), vol. 6, article 314 (http://journal.frontiersin.org/article/10.3389/fnhum.2012.00314/full, uploaded: 28 November 2012, accessed: 1 July 2017).

Tillas, Alex

2016 “Grounding congnition: the role of language in thinking,” in Proceedings of the International Conference “Sensory Motor Concepts in Language and Cognition,” Liane Ströbel, editor, Düsseldorf, Düsseldorf University Press, pp. 193-217 (http://dup.oa.hhu.de/527/1/PilaC_Vol.%201_finale%20Druckdatei%20Inhalt.pdf, accessed: 8 July 2017).