I am not sure what you mean by a conceptual model of these vein deposits. Are you referring to epithermal base metal and precious metal veins? See Sillitoe, 2010, Economic Geology, and references therein, for the relation of these veins to intrusive centers and porphyry Cu deposits, based on observations of actual examples. Also, Sillitoe and Hedenquist, 2003, review these types of epithermal veins, again based on the observation of many examples.
Regarding epithermal veins I would also recommend looking at some of the publications by Greg Corbett such as Corbett, G.J., 2008, Influence of magmatic arc geothermal systems on porphyry-epithermal Au-Cu-Ag exploration models: Terry Leach Symposium, Australian Institute of Geoscientists, Bulletin 48, p. 25-43.
For more generalised ideas on the source of all metal-enriched veins there is a lot of research coming out of Australia applying a mineral systems approach, such as Hronsky et al 2012 - A unified model for gold mineralisation in accretionary orogens and implications for regional-scale exploration targeting methods.
If you refer to Pb-Zn deposits there is hard to ignore the Variscan and post-Variscan vein-type deposits in Central Europe. Even if almost all of them after centuries of mining operations have now been exhausted, there exists a wealth of data in structural geology, mineral chemistry, age and isotope data (Rb/Sr, Pb,Pb). There are veins from 20 m in thickness to a few cm only of interest for rockhounds interested in nice minerals. Literature in English, maps and sections you might find in:
DILL, H.G., SACHSENHOFER, R., GRECULA, P., SASVARI, T., PALINKAS, L., BOROJEVIC-SOSTARIC, S., STRMIC-PALINKAS S., PROCHASKA, W., GARUTI, G., ZACCARINI, F., ARBOUILLE, D. , SCHULZ H., SCHMIDT, B. and LOCMELIS, B. (2008) The origin of mineral and energy resources of Central Europe (map 1: 2500000).- Geological Society of London, London (on CD ROM).
DILL, H.G., SACHSENHOFER, R.F., GRECULA, P., SASVÁRI, T., PALINKAŠ, L. A., BOROJEVIĆ-ŠOŠTARIĆ S., STRMIĆ-PALINKAŠ S., PROCHASKA, W., GARUTI, G., ZACCARINI, F., ARBOUILLE, D., and SCHULZ H.-M. (2008) Fossil fuels, ore – and industrial minerals .- In: T. McCann (Ed.), Geology of Central Europe, Geological Society of London, Special Publication, London, 1341-1449 .
Please find some examples dealing with structural geology of vein-type Pb-Zn deposits. For text see below
DILL, H.G., SACHSENHOFER, R., GRECULA, P., SASVARI, T., PALINKAS, L., BOROJEVIC-SOSTARIC, S., STRMIC-PALINKAS S., PROCHASKA, W., GARUTI, G., ZACCARINI, F., ARBOUILLE, D. , SCHULZ H., SCHMIDT, B. and LOCMELIS, B. (2008) The origin of mineral and energy resources of Central Europe (map 1: 2500000).- Geological Society of London, London (on CD ROM).
DILL, H.G., SACHSENHOFER, R.F., GRECULA, P., SASVÁRI, T., PALINKAŠ, L. A., BOROJEVIĆ-ŠOŠTARIĆ S., STRMIĆ-PALINKAŠ S., PROCHASKA, W., GARUTI, G., ZACCARINI, F., ARBOUILLE, D., and SCHULZ H.-M. (2008) Fossil fuels, ore – and industrial minerals .- In: T. McCann (Ed.), Geology of Central Europe, Geological Society of London, Special Publication, London, 1341-1449 .
DILL, H.G. (2010) The “chessboard” classification scheme of mineral deposits: Mineralogy and geology from aluminum to zirconium.- Earth Science Reviews, 100: 1-420.
Irina -- There are all sorts of descriptive models at hand, as you probably know. See, for example, those of the US Geological Survey. If you are looking for a very basic genetic model covering the formation of nearly all host structure forms of sulfide deposits (including vein deposits) that can be directly applied to exploration for deposits, you might want to take a look and listen at https://www.youtube.com/channel/UCadMErm76WR1x1E0CbkEO5Q