Nucleosomes alter gene expression by preventing transcription factors from occupying binding sites along DNA. DNA methylation can affect nucleosome positioning and so alter gene expression epigenetically (without changing DNA sequence). Conventional methods to predict nucleosome occupancy are trained on observed DNA sequence patterns or known DNA oligonucleotide structures. They are statistical and lack the physics needed to predict subtle epigenetic changes due to DNA methylation. The training-free method presented here uses physical principles and state-of-the-art all-atom force fields to predict both nucleosome occupancy along genomic sequences as well as binding to known positioning sequences. Our method calculates the energy of both nucleosomal and linear DNA of the given sequence. Based on the DNA deformation energy, we accurately predict the in vitro occupancy profile observed experimentally for a 20,000-bp genomic region as well as the experimental locations of nucleosomes along 13 well-established positioning sequence elements. DNA with all C bases methylated at the 5 position shows less variation of nucleosome binding: Strong binding is weakened and weak binding is strengthened compared with normal DNA. Methylation also alters the preference of nucleosomes for some positioning sequences but not others.transcriptional regulation | sequence threading | large-scale optimization I n cells, DNA molecules are stored in the form of chromatin that consists of repeating nucleosome units with superhelical DNA wrapped around a protein octamer core (1, 2). Neighboring nucleosomes are connected by extended straight stretches of DNA called the linker region. Given that certain transcription factors prefer to bind to naked DNA (3), a bound nucleosome may silence the genetic message of its DNA segment. Although the in vitro nucleosome occupancy is mainly governed by physical principles setting preferences for certain sequences, the exact placement of nucleosomes in vivo will also be influenced by higher order chromatin structure (3), chromatin remodeling (4), interaction with DNA-binding transcription factors (5), and epigenetic factors (6) such as histone modifications and DNA methylation (7). These subtle epigenetic changes (often referred to as chromatin marks) may provide a convenient way to manipulate genetic expression without altering the underlying genetic code. As a result, they have become a central focus of modern biomedical research. Here, we present a structurebased, in silico approach that captures how a DNA-based epigenetic mark, methylation, affects both the distribution of nucleosomes along genomic sequences and their preferred dyad location along known nucleosome-positioning sequences. The present work constitutes, to our knowledge, the first step toward computational structural epigenetics.This central importance in transcriptional regulation inspired development of experimental methods to map nucleosome positions. The most commonly used approach employs micrococcal nuclease to cleave DNA along the ...