Skip to main content

Table 1 Rates of entropy production in normal and cancerous cells

From: Physicochemical attack against solid tumors based on the reversal of direction of entropy flow: an attempt to introduce thermodynamics in anticancer therapy

 

∫ σ s ( i ) d τ MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWdbaqaaGGaciab=n8aZnaaDaaaleaacqqGZbWCaeaacqqGOaakieGacqGFPbqAcqqGPaqkaaaabeqab0Gaey4kIipakiabdsgaKjab=r8a0baa@382C@ (normal)

∫ σ s ( i ) d τ MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWdbaqaaGGaciab=n8aZnaaDaaaleaacqqGZbWCaeaacqqGOaakieGacqGFPbqAcqqGPaqkaaaabeqab0Gaey4kIipakiabdsgaKjab=r8a0baa@382C@ (cancer)

Cancer/Normal

Parameter choice (in CGS unit)

i = 1

0

1.1 × 10-25

 

T = 310, δT = 0.4, Ucell = 0.13 × 10-20, Vthermal = 10-1, L = 0.5 × 10-2

i = 2

0.42 × 10-23

0.47 × 10-23

1.1

T = 310, Mcell = 0.65 × 10-7, μATP = 10-15, 2R = 0.5 × 10-2, Vthermal = 10-1, δL = 0.5 × 10-4, k = 10-3

i = 3

0.43 × 10-8

1 × 10-7

2

Anormal = 301.3 × 0.695 × 10-13 ∫J n dν = 0.63 × 105, Acancer = 37.4 × 0.695 × 10-13 ∫J c dν >15 ∫J n dν

i = 4

0.13 × 10-10

0.15 × 10-10

1.1

T = 310, η = 0.015, Vcell = 0.65 × 10-7, k = 10-3, ( ∂ i V j ) ν = 10 − 2 0.5 × 10 − 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqGGOaakcqGHciITdaWgaaWcbaGaemyAaKgabeaakiabdAfawnaaBaaaleaacqWGQbGAaeqaaOGaeiykaKYaaSbaaSqaaGGaciab=17aUbqabaGccqGH9aqpdaWcaaqaaiabigdaXiabicdaWmaaCaaaleqabaGaeyOeI0IaeGOmaidaaaGcbaGaeGimaaJaeiOla4IaeGynauJaey41aqRaeGymaeJaeGimaaZaaWbaaSqabeaacqGHsislcqaIYaGmaaaaaaaa@43E7@ ( ∂ i V j ) B = 10 − 2 0.5 × 10 − 3 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqGGOaakcqGHciITdaWgaaWcbaGaemyAaKgabeaakiabdAfawnaaBaaaleaacqWGQbGAaeqaaOGaeiykaKYaaSbaaSqaaGqaciab=jeacbqabaGccqGH9aqpdaWcaaqaaiabigdaXiabicdaWmaaCaaaleqabaGaeyOeI0IaeGOmaidaaaGcbaGaeGimaaJaeiOla4IaeGynauJaey41aqRaeGymaeJaeGimaaZaaWbaaSqabeaacqGHsislcqaIZaWmaaaaaaaa@433E@

i = 5 (SWEP)

0.16 × 10-9

0.05 × 10-9

0.33

E = 3 × 103 volt/cm, ν = 100 d = 5 × 10-17, N = 106, s/N = 0.1, T = 310

  1. Five kinds of entropy production rate in normal and cancerous cells are given in the Table. Their ratios are listed in the fourth column. Parameter definitions are to be found in the text. All parameters are given in CGS units except those specified.
Back to article page

Diagnostic Pathology

ISSN: 1746-1596

Contact us