Review




Structured Review

SourceForge net symbolic mathematics software maxima
Symbolic Mathematics Software Maxima, supplied by SourceForge net, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
https://www.bioz.com/product/symbolic+mathematical+software/symbolic+mathematics+software+maxima/pmc04841476-80-10-20
Average 90 stars, based on 1 article reviews
symbolic mathematics software maxima - by Bioz Stars, 2026-10
90/100 stars

Images

Related Articles

Expressing:

Article Title: Capturing Intracellular pH Dynamics by Coupling Its Molecular Mechanisms within a Fully Tractable Mathematical Model
Article Snippet: .. Obtaining an analytical expression of the pH dynamics As seen in the manuscript, let us assume that the protic subsystem is defined by only five species (by neglecting CO2−3 ), namely Ð→ [X] = ⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ [H+] [HO−] [HCO−3] [HY] [Y−] ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ . (7) We have three equilibria leading to Γ⃗ = ⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ Kw − [H +] [HO−] K ′1ΠCO2 − [H +] [HO−] KY [HY] − [H +] [Y−] ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ , ∂tΓ⃗ = ⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ 0 K ′1∂tΠCO2 0 ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ (8) with a stoichiometric coefficients matrix ν = ⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ 1 1 0 0 0 1 0 1 0 0 1 0 0 −1 1 ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ . (9) The following formal computation can be perform manually or using a symbolic mathematical software like maxima (see http://maxima.sourceforge.net) to get Φ = ⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ − [HO−] − [H+] 0 0 0 − [HCO−3] 0 − [H +] 0 0 − [Y] 0 0 KY − [H +] ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ . (10) The relaxed variations of concentrations writes ∂t Ð→ [X] = (I5 − ν T (ΦνT) −1 Φ) ⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ −ρNHE 0 −ρAE 0 0 ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ − νT (ΦνT) −1 ∂tΓ⃗ (11) from which the variation of [H+] can be extracted once the other protic concentrations are substituted by their equilibrium values ∂t [H + ] = Θ ([H+] ,Y0)((ρAE − ρNHE) + K ′1 [H+] ∂tΠCO2) (12) with Θ ([H+] ,Y0) = [H+] 2 [H+] 2 +K ′1ΠCO2 +Kw + Y0KY ( [H+] [H+] +KY ) 2 . (13) If the enzymatic rate can be expressed from [H+] only, then the equation (12) is sufficient to simulate the exact evolution of [H+]. ..

Software:

Article Title: Capturing Intracellular pH Dynamics by Coupling Its Molecular Mechanisms within a Fully Tractable Mathematical Model
Article Snippet: .. Obtaining an analytical expression of the pH dynamics As seen in the manuscript, let us assume that the protic subsystem is defined by only five species (by neglecting CO2−3 ), namely Ð→ [X] = ⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ [H+] [HO−] [HCO−3] [HY] [Y−] ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ . (7) We have three equilibria leading to Γ⃗ = ⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ Kw − [H +] [HO−] K ′1ΠCO2 − [H +] [HO−] KY [HY] − [H +] [Y−] ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ , ∂tΓ⃗ = ⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ 0 K ′1∂tΠCO2 0 ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ (8) with a stoichiometric coefficients matrix ν = ⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ 1 1 0 0 0 1 0 1 0 0 1 0 0 −1 1 ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ . (9) The following formal computation can be perform manually or using a symbolic mathematical software like maxima (see http://maxima.sourceforge.net) to get Φ = ⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ − [HO−] − [H+] 0 0 0 − [HCO−3] 0 − [H +] 0 0 − [Y] 0 0 KY − [H +] ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ . (10) The relaxed variations of concentrations writes ∂t Ð→ [X] = (I5 − ν T (ΦνT) −1 Φ) ⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ −ρNHE 0 −ρAE 0 0 ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ − νT (ΦνT) −1 ∂tΓ⃗ (11) from which the variation of [H+] can be extracted once the other protic concentrations are substituted by their equilibrium values ∂t [H + ] = Θ ([H+] ,Y0)((ρAE − ρNHE) + K ′1 [H+] ∂tΠCO2) (12) with Θ ([H+] ,Y0) = [H+] 2 [H+] 2 +K ′1ΠCO2 +Kw + Y0KY ( [H+] [H+] +KY ) 2 . (13) If the enzymatic rate can be expressed from [H+] only, then the equation (12) is sufficient to simulate the exact evolution of [H+]. ..



Similar Products

90
MathWorks Inc symbolic mathematical software
Symbolic Mathematical Software, supplied by MathWorks Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
https://www.bioz.com/product/symbolic+mathematical+software/pmc10540691-90-45-49
Average 90 stars, based on 1 article reviews
symbolic mathematical software - by Bioz Stars, 2026-10
90/100 stars
  Buy from Supplier

90
MapleSoft Inc symbolic mathematics software maple 15
Symbolic Mathematics Software Maple 15, supplied by MapleSoft Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
https://www.bioz.com/product/symbolic+mathematical+software/mathematics+based+software+maple+16+2/pmc09780814-111-6-12
Average 90 stars, based on 1 article reviews
symbolic mathematics software maple 15 - by Bioz Stars, 2026-10
90/100 stars
  Buy from Supplier

90
MapleSoft Inc symbolic mathematics software maple® 15
Symbolic Mathematics Software Maple® 15, supplied by MapleSoft Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
https://www.bioz.com/product/symbolic+mathematical+software/mathematics+based+software+maple+16+2/pm36559267-95-6-11
Average 90 stars, based on 1 article reviews
symbolic mathematics software maple® 15 - by Bioz Stars, 2026-10
90/100 stars
  Buy from Supplier

90
MapleSoft Inc symbolic mathematics software maple 18
Symbolic Mathematics Software Maple 18, supplied by MapleSoft Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
https://www.bioz.com/product/symbolic+mathematical+software/mathematics+based+software+maple+16+2/pmc05217090-63-10-15
Average 90 stars, based on 1 article reviews
symbolic mathematics software maple 18 - by Bioz Stars, 2026-10
90/100 stars
  Buy from Supplier

90
SourceForge net symbolic mathematics software maxima
Symbolic Mathematics Software Maxima, supplied by SourceForge net, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
https://www.bioz.com/product/symbolic+mathematical+software/symbolic+mathematics+software+maxima/pmc04841476-80-10-20
Average 90 stars, based on 1 article reviews
symbolic mathematics software maxima - by Bioz Stars, 2026-10
90/100 stars
  Buy from Supplier

90
SourceForge net symbolic mathematical software
Symbolic Mathematical Software, supplied by SourceForge net, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
https://www.bioz.com/product/symbolic+mathematical+software/symbolic+mathematical+software/pmc03894979__pone__0085449__s001-53-173-179
Average 90 stars, based on 1 article reviews
symbolic mathematical software - by Bioz Stars, 2026-10
90/100 stars
  Buy from Supplier

94
MathWorks Inc symbolic mathematics software package
Symbolic Mathematics Software Package, supplied by MathWorks Inc, used in various techniques. Bioz Stars score: 94/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
https://www.bioz.com/product/symbolic+mathematical+software/Symbolic+Math+Toolbox/pmc03323869-303-16-21
Average 94 stars, based on 1 article reviews
symbolic mathematics software package - by Bioz Stars, 2026-10
94/100 stars
  Buy from Supplier

90
Waterloo Maple Inc symbolic mathematics software maple
Symbolic Mathematics Software Maple, supplied by Waterloo Maple Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
https://www.bioz.com/product/symbolic+mathematical+software/symbolic+mathematics+program+maple+v/us08126260-223-19-30
Average 90 stars, based on 1 article reviews
symbolic mathematics software maple - by Bioz Stars, 2026-10
90/100 stars
  Buy from Supplier

Image Search Results