Humans Have a Distributed, Molecular Long-Term Memory

Pfaltz, John L.

doi:10.1007/978-3-030-05587-5_9

Search citation statements

Order By: Relevance

Paper Sections

Select...

Counting Bases In a Cycle System1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

Publication Types

Select...

Article1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Because of this complexity, cyclic structures have been suggested as possible underlying bases for molecular memory, particularly in organisms without neural systems [12,[15][16][17][18], in molecular control structures [4,10,19], and in molecular information conduits [5,11]. They invite more research into their properties.…”

Section: Counting Bases In a Cycle Systemmentioning

confidence: 99%

Cycle Systems

Pfaltz¹

2020

Math. Appl.

Self Cite

View full text Add to dashboard Cite

In this paper we show that the composition (symmetric difference) of cycles is well-defined. So, such a collection {.. . , C i , C k ,. . .} of cycles with a composition operator, • , is a matroid. As such, it has sets of independent, or basis, cycles that determine its rank r. This paper is concerned with independent and dependent sets of cycles within a cycle system. In particular, we enumerate the number of all possible basis sets in any cycle system of rank r ≤ 6. Then we use a generating function to establish that the ratio of basis sets to all possible r element sets approaches c, 0.287 < c < 0.289.

show abstract