The neoclassical theory of population dynamics in spatially homogeneous environments. (I) Derivation of universal laws and monotonic growth

Vadász, Péter; Vadasz, Alisa S.

doi:10.1016/s0378-4371(02)00586-1

Cited by 17 publications

(32 citation statements)

References 14 publications

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“…(a) e curves correspond to equation(3)and closely describe the trend of the experimental data reported in[15]. (b) e same data gathered in a single master plot of reduced variables, according to equation(8), matched with those relevant to E. coli (full circles) reported inFigure 3.…”

mentioning

confidence: 53%

“…e proposed model therefore seems suitable to describe the lag phase and the overall increase of the population density up to N max but cannot describe what happens later, when growth and death counterbalance each other and the overall average number of viable cells remains constant (actually, fluctuations do occur [8,9]) for some time span and eventually starts to decline. e present paper completes the description including the decay phase which again requires a model to describe the behavior of many microbial species gathering all them in the same master plot representation.…”

Section: Introductionmentioning

confidence: 99%

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Growth and Decay of a Planktonic Microbial Culture

Schiraldi

2020

International Journal of Microbiology

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The paper shows that the phenomenological trends of both growth and decay of a microbial population in a given medium are easily reproducible with simple equations that allow gathering the experimental data (plate counts) related to different microbial species, in different mediums and even at different temperatures, in a single master plot. The guideline of the proposed approach is that microbes and surrounding medium form a system where they affect each other and that the so-called “growth curve” is just the phenomenological appearance of such interaction. The whole system (cells and medium) changes following a definite pathway described as the evolution of a “virtual” microbial population in planktonic conditions. The proposed equations come from the assumption of a duplication mechanism with a variable generation time for the growth and of an exponential-like decline with a linear increase of the rate for the decay. The intermediate phase between growth and decay is a time span during which growth and death counterbalance each other and age differences within the virtual cell population tend to level off. The proposed approach does not provide an a priori description of this phase but allows the fit of the whole evolution trend of a microbial culture whenever the experimental data are available. Deviations of such a trend concern microbes able to form spores, modify their metabolism, or express phenotypic heterogeneity, to counterbalance adverse medium conditions.

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confidence: 53%

Section: Introductionmentioning

confidence: 99%

Growth and Decay of a Planktonic Microbial Culture

Schiraldi

2020

International Journal of Microbiology

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“…D 0 is the diffusion coefficient, Q the activation energy, T the SHT temperature and R GC is the universal gas constant. The dissolving rate of precipitates can be modelled using a modified form of the Pearl's growth rate equation [16].…”

Section: Dissolve Of Precipitates During Sht Of 6xxx Al-alloysmentioning

confidence: 99%

Modelling of microstructure evolution in hot forming using unified constitutive equations

Lin

Dean

2005

Journal of Materials Processing Technology

165

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“…The tendency of this classical definition of the LAG is to overestimate the LAG duration as observed in figure 2, where λ cl is clearly positioned within the LogEx phase, while in reality, it should be the border point between the LAG and LogEx phases. Vadasz & Vadasz [6,27] redefined the LAG duration as presented in figure 2, the latter being linked with the only models that can reproduce the LAG phase in a predictive manner, such as Baranyi & Roberts [28] and Vadasz & Vadasz [4,5].…”

Section: Introductionmentioning

confidence: 99%

“…Vadasz & Vadasz [6] proposed an autonomous ‘Neoclassical Model’ based on Vadasz & Vadasz [4,5] that captures ALL qualitative features that appear in experiments for monotonic growth of microorganisms, such as LAG, LIP, concave-down and concave-up curves on the phase diagram, as well as the LGM and the Gompertz model [30] as special cases. The model proposed by Vadasz & Vadasz [6] was shown to fit very well experimental results for distinct sets of data by using three parameters only and two initial conditions.…”

Section: Introductionmentioning

confidence: 99%

On habit and habitat

Vadász

Vadasz

2021

Proc. R. Soc. A.

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Scientific theories based on mathematical models are frequently used in sciences to reveal natural behaviour of systems and eventually to be able in predicting such behaviour once the system's parameters and relevant conditions are known and can be specified. The integration of accumulated theoretical as well as experimental knowledge allows us to present such a unifying theory underlying the equivalence between habit and habitat in population growth. While the focus of the initial development was derived from microorganisms, the theory is extended to other population types too. The biological interpretation of ‘inertia’ or ‘habit’-based processes is provided as a consequence of this theory, and its relationship to the population ‘resource utilization’ available in the ‘habitat’ is derived. This paper focuses on the link between the ‘resource utilization’, which is related to the ‘habitat’, and ‘biological inertia’, which is related to population ‘habit’. This link extends the context of population growth and predictive modelling of microorganisms.

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The neoclassical theory of population dynamics in spatially homogeneous environments. (I) Derivation of universal laws and monotonic growth

Cited by 17 publications

References 14 publications

Growth and Decay of a Planktonic Microbial Culture

Growth and Decay of a Planktonic Microbial Culture

Modelling of microstructure evolution in hot forming using unified constitutive equations

On habit and habitat

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