As the progress in biology and medical science, especially in DNA technology, large amounts of biomedical data continue to grow inexorably in size, dimension and complexity. We need to develop more scalable and more efficient techniques and methods to analyze and represent the large and high-dimensional biomedical data sets. Formal Concept Analysis (FCA) is an effective tool for data analysis and knowledge discovery. Concept lattice, which is derived from mathematical order theory and lattice theory, is the core of FCA. Many research works of various areas show that concept lattice structure is an effective platform for data mining, machine learning, information retrieval, software engineering, etc. This paper presents FCA for analysis and representation of biomedical data. Furthermore, we present a new lattice-based algorithm for analysis of large and high-dimensional biomedical data.