| Literature DB >> 27445961 |
Mohammed Aftab Alam1, V P Subramanyam Rallabandi1, Prasun K Roy1.
Abstract
AIMS: Recent studies indicate that anti-inflammatory drugs, act as a double-edged sword, not only exacerbating secondary brain injury but also contributing to neurological recovery after stroke. Our aim is to explore whether there is a beneficial role for neuroprotection and functional recovery using anti-inflammatory drug along with neurorehabilitation therapy using transcranial direct current stimulation (tDCS) and repetitive transcranial magnetic stimulation (rTMS), so as to improve functional recovery after ischemic stroke.Entities:
Keywords: direct current stimulation; minocycline; neuroprotection; rehabilitation; stroke; transcranial magnetic stimulation
Year: 2016 PMID: 27445961 PMCID: PMC4923163 DOI: 10.3389/fneur.2016.00094
Source DB: PubMed Journal: Front Neurol ISSN: 1664-2295 Impact factor: 4.003
Figure 1Cascade of cell signaling events post-stroke and enabling neuroprotection using minocycline.
Figure 2Minocycline-activated anti-inflammatory response through NF-κB signaling pathway.
Chemical species for Module 1.
| IKKn neutral | |
| IKKa active | |
| IKKi inactive | |
| (IKKa|IkBa) | |
| (IKKa|IkBa|NFkB) | |
| NFkB | |
| NFkBn | |
| PTGS2 | |
| PTGS2 transcription | |
| IkBa | |
| IkBan | |
| IkBat | |
| (IkBa|NFkB) cytoplasmic | |
| (IkBan|NFkBn) nuclear | |
| Control early gene |
Figure 3BDNF and TrkB signaling pathway.
The following association and dissociation rate constants for module I are taken from Ref. (.
| Constant | Description |
|---|---|
| TN = 0/1 (OFF/ON state) | TNF-alpha inactive/active |
| c1c = 0.00005/100 | Inducible transcription (control gene) |
| c2c = 0 | Constitutive transcription (control gene) |
| c3c = 0.0004 | mRNa degradation (control gene) |
| e1a = 0.0005 | IkBa nuclear export Hoff, Fitted |
| i1a = 0.001 | IkBa nuclear import Hoff, Fitted |
| e2a = 0.01 | (IkBa|NFkB) nuclear export, Hoff blue (any short) |
| i1 = 0.0025 | NFkB nuclear import, Hoff blue (short correspond to a1) |
| c1a = AA*0.00005/100 | Inducible (linear) IkBa mRNA synthesis, Fitted |
| c2a = AA*0.000000 | Constitutive mRNA IkBasynthesis Fitted |
| c3a = 0.0004 | mRNA IkBa degradation, Fitted |
| c4a = 0.005*100 | IkBa translation rate, Fitted |
| c5a = 0.0001 | IkBa degradation rate, Pando |
| c6a = 0.00002 | (IkBa|NFkB) degradation, Hoff |
| AA = 1 | AA = 1 wild-type cell, AA = 0 IkBa-deficient cell |
| t1 = 0.1 | Degradation of (IKK|IkBa) (any short) |
| t2 = 0.1 | Degradation of (IKK|IkBa|NFkB) (any short) |
| a1 = 0.5 | IkBA*NFkB association Hoff (short, correspond to i1) |
| a2 = 0.2 | IKK*IkBa association, Fitted |
| a3 = 1 | IKK*(IkBa|NFkb) association, Fitted |
| kdeg = 0.000125 | Degradation of IKKa, IKKn, and IKKi |
| kprod = 0.000025 | IKKn production rate |
| r3 = 0.0015 | Spontaneous inactivation, Fitted |
| r2 = 0.1 | Inactivation caused by PTGS2, Fitted |
| r1 = 0.0025 | Activation caused by drug, Fitted |
| c5 = 0.0003 | PTGS2 degradation rate, IkBa*5 |
| c4 = 0.005*100 | PTGS2 translation rate (Assumed) |
| c3 = 0.0004 | PTGS2 mRNA degradation rate (Assumed) |
| c2 = AB*0.00000 | constitutive PTGS2 mRNA synthesis (Assumed) |
| c1 = AB*0.00005/100 | inducible PTGS2mRNA synthesis (Assumed) |
| AB = 1 | AB = 1 wild-type cell, AB = 0 PTGS2-deficient cell |
| kv = 5 | ratio of cytoplasmic to nuclear volume |
| x13(0) = 0.06 | Initial value of NF-κB is given in cytoplasmic complex(IkBa|NFkB) |
Chemical species and initial concentration for Module 2.
| y1(0) | BDNF | 0.1 nM |
| y2(0) | TrKB | 0.25 μM |
| y3(0) | Int_BDNF_TrKB2*_clx | 0.25 μM |
| y6(0) | Shc | 0.5 μM |
| y8(0) | PLC-γ | 0.1 μM |
| y9(0) | PLC-γ_basal | 0.0007 μM |
| y11(0) | Grb2 | 1 μM |
| y12(0) | Gab1 | 0.7 μM |
| y13(0) | PI3K | 0.1 μM |
| y15(0) | PIP2 | 7 μM |
| y16(0) | PTEN | 0.27 μM |
| y19(0) | PDK1 | 1 μM |
| y20(0) | AKT | 0.2 μM |
| y22(0) | PP2A | 0.15 μM |
| y23(0) | PIP3_PDK2 | 0.003 μM |
| y25(0) | TSC1–TSC2 | 1 μM |
| y27(0) | Rheb-GTP | 1 μM |
| y29(0) | IP3 | 1 μM |
| y33(0) | CaMKIII | 0.06 μM |
| y34(0) | eEF2 | 0.5 μM |
| y35(0) | PP2A | 0.15 μM |
| y36(0) | S6K | 0.17 μM |
Figure 4Minocycline-induced TNF-α activity in NF-κB pathway.
Figure 5Cerebral stimulation induced BDNF and TrkB signaling.
Figure 6Cerebral stimulation induced IP3, PIP3, and CaMKIII activity.
Chemical reactions for BDNF and TrKB signaling pathways (Module 2).
| y(1) = BDNF + TrKB → BDNF_TrKB_clx | % Ligand Binding |
| y(2) = BDNF_TrKB_clx + TrKB → BDNF_TrKB2_clx | % Receptor dimerization |
| y(3) = BDNF_TrKB2_clx → BDNF_TrKB2*_clx | % Autophosphorylation |
| y(4) = BDNF_TrKB2*_clx ⇑ Int_BDNF_TrKB2*_clx | % Receptor Internalization |
| y(5) = Int_BDNF_TrKB2*_clx → TrKB | % Receptor Cycling |
| y(6) = Shc + BDNF_TrKB2*_clx → BDNF_TrKB2*_clx + Shc* | % Shc Phosphorylation |
| y(7) = Shc* → Shc | % Dephosphorylation Shc* |
| y(8) = PLC-γ + BDNF_TrKB2*_clx → BDNF_TrKB2*_clx + PLC-γ* | % PLC-γ Phosphorylation |
| y(9) = PLC-γ + PLC-γ_basal → PLC-γ_basal + PLC-γ* | % PLC-γ basal Phosphorylation |
| y(10) = PLC-γ* → PLC-γ | % Dephosphorylation of PLC-γ |
| y(11) = Grb2 + Shc* → Shc*-Grb2 | % Grb2 binding Shc* |
| y(12) = Shc*-Grb2 + Gab1 → Shc*_Grb2_Gab1 | % Formation of Shc*_Grb2_Gab1 |
| y(13) = Shc*_Grb2_Gab1 + PI3K → Shc*_Grb2_Gab1_PI3K_clx | %PI3K activation by Shc_Grb2_Gab1 complex |
| y(14) = Ras-GTP + PI3K → Ras-GTP_PI3K | % PI3K activation by Ras-GTP |
| y(15) = PIP2 + Shc*_Grb2_Gab1_PI3K_clx → Shc*_Grb2_Gab1_PI3K_clx + PIP3 | % Formation of PIP3 |
| y(16) = PIP3 + PTEN → PTEN + PIP2 | % Formation of PIP2 |
| y(17) = PI3K → PI3K_basal | % Formation of basal PIP3 |
| y(18) = PIP2 + PI3K_basal → PI3K_basal | % Basal PI3K activity |
| y(19) = PIP3 + PDK1 → PIP3_PDK1 | % PDK1 translocation |
| y(20) = PIP3 + AKT → PIP3_AKT | % AKT translocation |
| y(21) = PIP3_AKT + PIP3_PDK1 → PIP3_PDK1 + PIP3_AKT_thr308 | % Partial AKT activation (Thr308) |
| y(22) = PIP3_AKT_thr308 + PP2A → PP2A + PIP3_AKT | % Dephosphorylation of AKT* |
| y(23) = PIP3_AKT_thr308 + PIP3_PDK2 → PIP3_PDK2 + PIP3_AKT_t308_s473 | %Fully AKT activation (Ser473) |
| y(24) = PIP3_AKT_t308_s473 + PP2A → PIP3_AKT_thr308 + PP2A | % Dephosphorylation of AKT** |
| y(25) = TSC1–TSC2 + PIP3_AKT_t308_s473 → PIP3_AKT_t308_s473 + TSC1–TSC2* | %Phosphorylation of TSC1,2 |
| y(26) = TSC1–TSC2* → TSC1–TSC2 | % Dephosphorylation of TSC1–TSC2* |
| y(27) = Rheb-GTP + TSC1–TSC2 → TSC1–TSC2 + Rheb-GDP | % Hydrolysis of Rheb-GTP by TSC1–TSC2 |
| y(28) = Rheb-GDP → Rheb-GTP | % Conversion of Rheb-GDP to Rheb-GTP |
| y(29) = IP3R + IP3 → IP3RIP3 | % IP3R interaction with IP3 and formation of IP3RIP3 |
| y(30) = IP3RIP3 + IP3 → IP3R2IP3 | % IP3RIP3interaction with IP3 and formation of IP3R2IP3 |
| y(31) = IP3R2IP3 + IP3 → IP3R3IP3 | %IP3R2IP3interaction with IP3 and formation of IP3R3IP3 |
| y(32) = IP3R3IP3 + Ca2 → IP3R3IP3 + Ca(cyt) | %IP3R3IP3 interaction with Ca2+ and formation of IP3R3IP3 and Ca2+ |
| y(33) = CaM-Ca4 + CAMKIII → CaMKIII_CaM-Ca4 | % Binding of Calmodulin-Calcium to CaMKIII |
| y(34) = CaMKIII_CaM-Ca4 + eEF2 → eEF2thr-56 + CaMKIII_CaM-Ca4 | % Phosphorylation of eEF2 |
| y(35) = eEF2thr-56 + PP2A → eEF2 + PP2A | % Dephosphorylation of eEF2thr-56 |
| y(36) = CaMKIII + S6K_thr-252 → CaMKIII* + | % Phosphorylation of CaMKIII |
| y(37) = CaMKIII + S6K_Basal → CaMKIII* + S6K_thr-252 | % Basal activation of CaMKIII |
The following association and dissociation rate constants for Module 2 are taken from Ref. (.
| BD = 0 (BDNF inactive)BD = 1 (BDNF active) |
| TR = 0 (TrkB inactive) |
| TR = 1 (TrkB active) |
| k1f = 1; k1b = 0.05 |
| k2f = 1; k2b = 0.02 |
| k3f = 0.02; k3b = 0 |
| k4f = 0.01; k4b = 0 |
| k5f = 0.001; k5b = 0.001 |
| k6f = 0.8333; k6b = 0.3 |
| k7f = 0.2; k7b = 0 |
| k8f = 0.3; k8b = 0.5 |
| k9f = 0.3; k9b = 0.5 |
| k10f = 0.07; k10b = 0 |
| k11f = 1; k11b = 1 |
| k12f = 0.3; k12b = 1 |
| k13f = 5; k13b = 0.08 |
| k14f = 1.8; k14b = 5 |
| k15f = 4; k15b = 4 |
| k16f = 0.08; k16b = 5.5 |
| k17f = 0.00068; k17b = 0.45 |
| k18f = 4; k18b = 4 |
| k19f = 0.7; k19b = 0.98 |
| k20f = 45; k20b = 0.089 |
| k21f = 0.4; k21b = 10 |
| k22f = 4.8; k22b = 1.8 |
| k23f = 0.8; k23b = 20 |
| k24f = 4.8; k24b = 1.8 |
| k25f = 10.3; k25b = 6 |
| k26f = 0.01; k26b = 0 |
| k27f = 0.3; k27b = 20 |
| k28f = 0.2; k28b = 0 |
| k29f = 100; k29b = 3 |
| k30f = 100; k30b = 2 |
| k31f = 100; k31b = 1 |
| k32f = 100; k32b = 0.1 |
| k33f = 0.99; k29b = 0.09 |
| k34f = 2; k30b = 10 |
| k35f = 8.8; k31b = 0.47 |
| k36f = 1; k32b = 1 |
| k37f = 1; k33b = 10 |
| CaCyt = 0.1 |
| Ca = 0.5 |
| eCAMKIII = 0.06 |
| S6K_thr = 0.001 |
| S6K_Basal = 0.001 |
Pharmacotherapy (minocycline) activation through TNF-α in NF-κB signaling pathway.
| dx(1) = kprod-kdeg*x(1) − TN*r1*x(1) | % neutral IKK |
| dx(2) = TN*r1*x(1) − r3*x(2) − TN*r2*x(2)*x(8) − kdeg*x(2) − a2*x(2)*x(10) + t1*x(4) − a3*x(2)*x(13) + t2*x(5) | % free active IKK |
| dx(3) = r3*x(2) + TN*r2*x(2)*x(8) − kdeg*x(3) | % inactive IKK |
| dx(4) = a2*x(2)*x(10) − t1*x(4) | % cytoplasmic (IKK|IkBa) complex |
| dx(5) = a3*x(2)*x(13) − t2*x(5) | % cytoplasmic (IKK|IkBa|NFkB) complex |
| dx(6) = c6a*x(13) − a1*x(6)*x(10) + t2*x(5) − | % Free cytoplasmic NFkB |
| dx(7) = i1*kv*x(6) − a1*x(11)*x(7) | % Free nuclear NFkB |
| dx(8) = c4*x(9) − c5*x(8) | % Cytoplasmic PTGS2 gene |
| dx(9) = c2 + c1*x(7) − c3*x(9) | % PTGS2 transcription |
| dx(10) = -a2*x(2)*y(10) − a1*x(10)*x(6) + c4a*x(12) − c5a*x(10) − i1a*x(10) + e1a*x(11) | % Free cytoplasmic IkBa |
| dx(11) = -a1*x(11)*x(7) + i1a*kv*x(10) − | % Free nuclear IkBan |
| dx(12) = c2a + c1a*x(7) − c3a*x(12) | % IkB transcription |
| dx(13) = a1*x(10)*x(6) − c6a*x(13) − a3*x(2)*x(13) + e2a*x(14) | % Cytoplasmic(IkBa|NFkB) complex |
| dx(14) = a1*x(11)*x(7) − e2a*kv*x(14) | % Nuclear (IkBa|NFkB) complex |
| dx(15) = c2c + c1c*x(7) − c3c*x(15) | % Control gene mRNA level |
We now formulate the ordinary differential equations for the above chemical reactions (Eqs 1–37).
| 1. | dy(1) = k1f* dy(1)*BD + k1f* dy(2)*BD − k1b* dy(3) |
| 2. | dy(2) = k2f* dy(3) + k2f* dy(2)*TR − k2b* dy(3) |
| 3. | dy(3) = k3f* dy(3) − k3b* dy(4) |
| 4. | dy(4) = k4f* dy(4) − k4b* dy(5) |
| 5. | dy(5) = k5f* dy(5) − k5b* dy(2) |
| 6. | dy(6) = k6f* dy(6) + k6f* dy(4) − k6b* dy(4) + dy(7) |
| 7. | dy(7) = k7f* dy(7)-k7b* dy(6) |
| 8. | dy(8) = k8f* dy(8) + dy(4) − k8b* dy(4) -k8b* dy(10) |
| 9. | dy(9) = k9f* dy(8) + k9f* dy(9)- k9b *dy(9) − k9b *dy(10) |
| 10. | dy(10) = k10f* dy(10) − k10b* dy(8) |
| 11. | dy(11) = k11f* dy(11) + k11f* dy(7) − k11b* dy(12) |
| 12. | dy(12) = k12f* dy(12) − k12b* dy(13) |
| 13. | dy(13) = k13f* dy(13) + k13f* dy(17) − k13b* dy(13) |
| 14. | dy(14) = k14f* dy(14) + k14f* dy(17) − k14b* dy(14) |
| 15. | dy(15) = k15f* dy(15) + k15f* dy(13) − k15b* dy(13) − k15b* dy(16) |
| 16. | dy(16) = k16f* dy(16) + k16f* PTEN − k16b* PTEN − k16b* dy(15) |
| 17. | dy(17) = k17f* d(17) − k17b* PI3K_basal |
| 18. | dy(18) = k18f* dy(15) + k18f* PI3K_basal − k18b* PI3K_basal |
| 19. | dy(19) = k19f* dy(16) + k19f* dy(19) − k19b* dy(19) |
| 20. | dy(20) = k20f * dy(16) + k20f* dy(20) − k20b* dy(21) |
| 21. | dy(21) = k21f* dy(20) + k21f* dy(19) − k21b* dy(19) − k21b* dy(22) |
| 22. | dy(22) = k22f* dy(22) + k22f* PP2A − k22b* PP2A -k22b* dy(21) |
| 23. | dy(23) = k23f* dy(22) + k23f* PIP3_PDK2 − k23b* PIP3_PDK2 − k23b* dy(24) |
| 24. | dy(24) = k24f* dy(24) + PP2A − k24b* dy(22) − k24b* PP2A |
| 25. | dy(25) = k25f* dy(25) + k25f * dy(24) − k25b* dy(24) − k25b* dy(26) |
| 26. | dy(26) = k26f* dy(26) − k26b* dy(25) |
| 27. | dy(27) = k27f* dy(27) + k27f * dy(25) − k27b* dy(25) − k27b* dy(28) |
| 28. | dy(28) = k28f* dy(28) – k28b* dy(28) |
| 29. | dy(29) = k29f* dy(29) + k29f*IP3 − k29b* dy(30) |
| 30. | dy(30) = k30f* dy(30) + k30f*IP3 − k30b* dy(31) |
| 31. | dy(31) = k31f* dy(31) + k31f*IP3 − k31b* dy(32) |
| 32. | dy(32) = k32f* dy(32) + k32f*Ca − k32b* dy(32) − k32b*Cacyt |
| 33. | dy(33) = k33f* dy(33) + k33f* dy(36) − k37b* dy(34) |
| 34. | dy(34) = k34f* dy(34) + k34f* eEF2 − k34b* dy(335) − k334b* dy(34) |
| 35. | dy(35) = k35f* dy(35) + k35f* PP2A − k35b* eEF2 − k35b* PP2A |
| 36. | dy(36) = k36f* dy(36) + k36f* S6K_thr − k36b* dy(37) − k36b* S6K_thr |
| 37. | dy(37) = k37f* dy(36) + k37f* S6K_Basal − k37b* dy(36) − k37b* S6K_thr |