Skip to main content

Table 1 Characteristics of theoretical models describing mixtures

From: Theory of synergistic effects: Hill-type response surfaces as ‘null-interaction’ models for mixtures

  

Assumptions

Properties

Approach

Eq.

u max

Slopes γ

Pure a.i. limit

Sham compliance

Bliss / Colby

13

Unequal

γ a γ b

Ok

No

Loewe / CA

14

Equal

γ a =γ b

Ok

Yes

GCA

18

Unequal

γ=1

Ok

Yes

Chou exc

19

Equal

γ a =γ b

Ok

Yes

Chou nonex

20

Equal

γ a =γ b

Ok

No

Greco

17

Equal

γ a γ b a

(Ok)b

(Yes)b

Minto / Fidler

21

Variable

Variable

(Ok)c

(Yes)c

Hill

5, 7

Variable

Variable

Ok

Yes

  1. aanalytical expression for the effect only for identical slopes
  2. bfor α=0
  3. cif the polynomial expansions are truncated after the linear terms