MIT Press

Table 1.

Candidate oscillating chemical reaction networks. The one proposed by Wilhelm and Heinrich [42] was chosen in the present work.

System name	Chemical reactions	Limit cycle	Single moiety	Short siphon	Reference
Lotka-Volterra	A + X → 2X	No	Yes	Yes	[21]
	X + Y → 2Y
	Y → B

Schlögl	A + 2X → 3X	No (only bistability)	Yes	Yes	[30]
	3X → 2X + B
	X → B

Brusselator	A → X	Yes	No (2 moieties)	No (a siphon containing X also contains A)	[28]
	2X + Y → 3X
	B + X → Y + D
	X → E

Wilhelm	A + X → 2X	Yes	Yes	Yes	[42]
	X + Y → Y + B
	Y → B
	X → Z
	Z → Y

System name	Chemical reactions	Limit cycle	Single moiety	Short siphon	Reference
Lotka-Volterra	A + X → 2X	No	Yes	Yes	[21]
	X + Y → 2Y
	Y → B

Schlögl	A + 2X → 3X	No (only bistability)	Yes	Yes	[30]
	3X → 2X + B
	X → B

Brusselator	A → X	Yes	No (2 moieties)	No (a siphon containing X also contains A)	[28]
	2X + Y → 3X
	B + X → Y + D
	X → E

Wilhelm	A + X → 2X	Yes	Yes	Yes	[42]
	X + Y → Y + B
	Y → B
	X → Z
	Z → Y