A mathematical model of survival kinetics. I. Theoretical basis

Piantanelli, L.

doi:10.1016/0167-4943(86)90014-2

Cited by 26 publications

(6 citation statements)

References 19 publications

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“…Thereafter, only tissue with high vitality remains and neurodegeneration levels off with advanced age. This explanation is also consistent with modern theories of biological survival that show a decline in mortality rates in old age (Piantanelli, 1986). A decline in mortality rate with increasing age may also explain why older patients with late onset of sporadic AD may progress clinically slower than patients with early disease onset.…”

Section: Discussionsupporting

confidence: 90%

Nonlinear time course of brain volume loss in cognitively normal and impaired elders

Schuff

Tosun

Insel

et al. 2012

Neurobiology of Aging

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The goal was to elucidate the time course of regional brain atrophy rates relative to age in cognitively normal (CN) aging, mild cognitively impairment (MCI) and Alzheimer’s disease (AD), without a-priori models for atrophy progression. Regional brain volumes from 147 CN subjects, 164 stable MCI, 93 MCI-to-AD converters and 111 AD patients, between 51 to 91 years old and who had repeated 1.5T magnetic resonance imaging (MRI) scans over 30 months, were analyzed. Relations between regional brain volume change and age were determined using generalized additive models, an established non-parametric concept for approximating nonlinear relations. Brain atrophy rates varied nonlinearly with age, predominantly in regions of the temporal lobe. Moreover, the atrophy rates of some regions leveled off with increasing age in control and stable MCI subjects whereas those rates progressed further in MCI-to-AD converters and AD patients. The approach has potential uses for early detection of AD and differentiation between stable and progressing MCI.

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Section: Discussionsupporting

confidence: 90%

Nonlinear time course of brain volume loss in cognitively normal and impaired elders

Schuff

Tosun

Insel

et al. 2012

Neurobiology of Aging

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“…8 Thus, we decided to compare the survival of mice after grafting two neonatal thymi into the axillary cavities, as previously suggested for the transplant of other tissues with an endocrine role. 14 Also, in this case, conventional nonparametric tests did not show any significant change in survival between grafted old mice versus controls; however, survival analysis performed with a Piantanelli-sensitive parametric model 15,16 suggests that this kind of approach may be considered as a starting point for rejuvenating interventions. The very small difference between the two curves, which is not statistically significant according to the Kaplan-Meier analysis with log rank test, would have hardly an interest per se.…”

Section: Discussionmentioning

confidence: 73%

“…Survival data were analyzed using both Kaplan-Meier analysis (SPSS 14.0 package) and a parametric mathematical model of survivorship proposed by Piantanelli et al 15,16 The method is based on two parameters as described in Box 1.…”

Section: Survival Analysismentioning

confidence: 99%

Noninvasive Neonatal Thymus Graft into the Axillary Cavity Extends the Lifespan of Old Mice

Basso

Malavolta

Piacenza

et al. 2010

Rejuvenation Research

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Neonatal thymus grafts exert a rejuvenating action on various immunological and nonimmunological functions found altered in old mice. Commonly, half of a thymus is grafted under the kidney capsule. The invasiveness of the surgical procedure and the use of limited thymus tissue may explain why precedent survival kinetics remain unaffected. In this trial, we grafted two neonatal thymi into the axillary cavity of old mice, thus reducing the invasiveness of the intervention and increasing the amount of grafted neonatal tissue. Using a Piantanelli parametric model of survivorship, we found a significant change in mortality rate between the two groups (thymus graft and controls).

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“…The application of the Weibull distribution function approaches multiple clinical applications and it is well established theoretically and practically [9][10][11][12]. It has been used for a long time for survival description in gerontology [13,14] and in oncology [15] as well.…”

Section: Methodsmentioning

confidence: 99%

Oncothermia as Personalized Treatment Option

Szász

Andócs

Meggyesházi

2013

Conference Papers in Medicine

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Oncothermia is a nanoheating technology personalized for individual status depending on the state, stage, grade, and other personal factors. The guiding line of the treatment keeps the homeostatic control as much effective as possible. One of the crucial points is the surface heat regulation, which has to be carefully done by the electrode systems. The applied stepup heating supports the physiological selection. Recognizing the hysteresis type of SAR-temperature, development of the protocol could be well conducted. Using the Weibull distribution function of the transport processes as well as considering the typical physiological relaxation time of the tissues, special protocols can be developed. It has wide-range applicability for every solid tumor, irrespective of its primary or metastatic form. It could be applied complementary to all the known oncotherapy methods. It is applicable in higher lines of the therapy protocols, even in the refractory and relapsed cases as well.

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A mathematical model of survival kinetics. I. Theoretical basis

Cited by 26 publications

References 19 publications

Nonlinear time course of brain volume loss in cognitively normal and impaired elders

Nonlinear time course of brain volume loss in cognitively normal and impaired elders

Noninvasive Neonatal Thymus Graft into the Axillary Cavity Extends the Lifespan of Old Mice

Oncothermia as Personalized Treatment Option

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