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A compound node is uniquely represented by a name, a compartment and a mass vector, m c ∈ℕ n, i.e. the vector representation of the compound c over n chemical elements.
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Pairs of oppositely charged muons identified by MUCH could therefore be combined to measure the invariant masses in a wide range starting from low mass vector mesons (LMVM) up to charmonia.
Mass spectrometry (MS) experiments on C-labeled metabolites (e.g. macromolecules) generate fractional C enrichments from fragmented macromolecules, forming a mass distribution vector (MDV).
This assumption cannot be valid for more hydrophobic compounds like methane as Han et al. (2009) reported that most of Methylosinus trichosporium cells using methane as the sole carbon source were growing attached to the paraffin oil drops used as a mass transfer vector.
This results in a series of mass spectra, defined by the mass vector m, and taken at times t1, t2,..., t R. As the mixture components elute from the chromatographic column their concentrations change, and the mass spectra of this continuously changing mixture are recorded.
This results in R mass scans recorded during the time of the experiment, at times t1, t2,..., t R. Each mass scan can be converted into a series of N m/z intensities defined by the mass vector m = (m1, m2,..., m N ), where each m i corresponds to one m/z "channel".
The simulations demonstrate that low mass vector mesons and charmonia can be clearly identified in central Au+Au collisions at beam energies provided by the international Facility for Antiproton and Ion Research FAIRResearch FAIR
For a compound c ∈ V c, we denote by m c ∈ ℕ n its mass vector, i.e. the vector representation of c over n chemical elements.
The mass vector of water is then m H 2 O = (0, 2, 0, 1, 0, 0)·(C, H, N, O, P, S) T. For a given reaction r, rin = { c ∈ V c | (c, r) ∈ E} denotes the set of substrates, and rout = { c ∈ V c | (r, c) ∈ E}, the set of products.
Our procedure depends on determining the classes of linearly dependent mass vectors.
Two compounds c, k ∈ V c will be called mass equivalent if and only if their respective mass vectors m c and m k are linearly dependent.
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