The interdisciplinary nature of biological sciences and medicine, including the important role mathematical, statistical and computational modeling play in the analysis and interpretation of data and information is well recognized. "A mathematical biology research project is no longer guided by the independent spirit of one or two applied mathematicians working on a biological problem. Modern examples show that mathematical biology research is now a team science effort." [1]. The international series of conferences BIOMATH is precisely aimed at providing a meeting forum for scientist from different disciplines and from different countries and continents who develop and apply mathematical and computational tools to study phenomena in the broad fields of life sciences, such as biology, ecology, medicine, biotechnology, bioengineering, and environmental science. BIOMATH is an established conferences series as it follows a tradition of scientific meetings on biomathematics held at the Bulgarian Academy of Sciences (BAS) in Sofia since 1990 [2]. Selected papers from previous conferences are published in volume 32 [3], volume 64 [4] and volume 66 [5] of this journal as well as in [6], [7] and [8]. The 2013 International Conference on Mathematical Methods and Models in Biosciences and School for Young Scientists (BIOMATH 2013) was held in Sofia, 16-21 June 2013. It was supported by several research units of the Bulgarian Academy of Sciences, three Bulgarian Universities, the Union of Bulgarian Mathematicians and the European Society for Mathematical and Theoretical Biology (ESMTB). A special session at the conference was dedicated to Svetoslav Markov, on the occasion of his 70th anniversary. Prof. S. Markov is a founder of the biomathematics meetings in Bulgaria and an enthusiastic supporter of the BIOMATH series of conferences. The conference attracted participants from four continents and over 20 countries. A Sign of Honour of the Bulgarian Academy of Sciences was awarde