. Author manuscript; available in PMC: 2020 Oct 1.

Published in final edited form as: Curr Opin Syst Biol. 2019 Sep 16;17:24–34. doi: 10.1016/j.coisb.2019.09.005

Table 2. Kinetic formulation of the SCLC population dynamics model.

[X] is the population of cell type X; ∅ represents cell death.

Index	Reaction	Rate expression	Description
1	TPC → 2 TPC	$(\frac{k_{1} K_{2} + k_{3} [{Hes 1}^{+}]}{K_{2} + [{Hes 1}^{+}]}) \cdot [TPC]$	TPC cell division (k₃ > k₁) (Hes1⁺ promotes growth)
2	TPC → ∅	$(\frac{k_{4} K_{5} + k_{6} [{Hes 1}^{+}]}{K_{5} + [{Hes 1}^{+}]}) \cdot [TPC]$	TPC cell death (k₆ < k₄) (Hes1⁺ inhibits apoptosis)
3	Hes1⁺ → 2 Hes1⁺	$(\frac{k_{7} K_{8} + k_{9} [TPC]}{K_{8} + [TPC]}) \cdot [{Hes 1}^{+}]$	Hes1⁺ cell division (k₉ < k₇) (TPC inhibits growth)
4	Hes1⁺ → ∅	k₁₀[Hes1⁺]	Hes1⁺ cell death
5	CD44⁺ → 2 CD44⁺	k₁₁[CD44⁺]	CD44⁺ cell division
6	CD44+ → ∅	k₁₂[CD44⁺]	CD44⁺ cell death
7	TPC → Hes1⁺	k₁₃[TPC]	TPC differentiation into Hes1⁺
8	TPC → CD44⁺	k₁₄[TPC]	TPC differentiation into CD44⁺