You are here: Home / Exposures / Simulations of the effects of inositol 1,4,5-trisphosphate 3-kinase and 5-phosphatase activities on Ca2+ oscillations / Simulations of the effects of inositol 1,4,5-trisphosphate 3-kinase and 5-phosphatase activities on Ca2+ oscillations

Model Mathematics

Component based math viewer is available

Component: environment

Component: R_des

\frac{d}{d time} (R_des) = K_plus {C_cyto}^{n_i} 1 \frac{1 - R_des}{1 + {(\frac{C_cyto}{K_act})}^{n_a}} 1 - (K_minus R_des)

Component: C_cyto

\frac{d}{d time} (C_cyto) = K_1 1 (b 1 + I_ra 1) (Ca_tot - (C_cyto (alpha + 1))) 1 - (V_MP \frac{{C_cyto}^{n_p}}{{K_p}^{n_p} + {C_cyto}^{n_p}} 1)

Component: I_ra

I_ra = \frac{I_rable 1}{1 + {(\frac{K_act}{C_cyto})}^{n_a}}

Component: I_rable

I_rable = \frac{(1 - R_des) IP3}{K_IP + IP3}

Component: IP3

\frac{d}{d time} (IP3) = \frac{V_PLC - V_3K - V_5P}{1}

Component: V_PLC

V_PLC = gamma V_plc 1

Component: V_3K

V_3K = V_k \frac{IP3}{K_k + IP3} \frac{{C_cyto}^{n_d}}{{K_d}^{n_d} + {C_cyto}^{n_d}} 1

Component: V_5P

V_5P = V_p1 1 \frac{IP3}{K_p1 (1 + \frac{IP4}{K_p2}) + IP3}

Component: IP4

\frac{d}{d time} (IP4) = (V_3K - V_15P) 1 - (k IP4)

Component: V_15P

V_15P = \frac{V_p2 1 IP4}{K_p2 (1 + \frac{IP3}{K_p1}) + IP4}

Component: model_parameters

K_plus = \frac{K_minus}{{K_inh}^{n_i}}

Source: Derived from workspace Simulations of the effects of inositol 1,4,5=trisphosphate 3-kinase and S-phosphatase activities on Ca+ oscillations at changeset c8ed12db687a.

Collaboration: To begin collaborating on this work, please use your git client and issue this command:

Downloads

Views Available

Tools

License: This work is licensed under a Creative Commons Attribution 3.0 Unported License.

Simulations of the effects of inositol 1,4,5-trisphosphate 3-kinase and 5-phosphatase activities on Ca2+ oscillations