Metabolic Mass Transfer Effect in Monotonic and Non-Monotonic Growth of Micro-Organisms

Theoretical Results ◽

A proposed Neoclassical growth theory of micro-organisms is shown to apply in a much wider variety of cases, from micro-level organisms via animal and human cell growth and up to the macro-level populations encountered in ecology. Including the metabolic mass transfer effects, that are an essential ingredient of the Neoclassical Theory, allows for the recovery of substantial and distinct phenomena observed experimentally. The proposed theory identifies the mechanism controlling the Lag phase, a result that holds impressive future potential in diverse applications. Different theoretical results are presented and compared with experimental data to substantiate the claim that the model based on the Neoclassical Growth Theory is the only available model that produces results, which are consistent with all experimental evidence.

LINEAR STABILITY ANALYSIS OF THE NEOCLASSICAL GROWTH MODEL TO SPATIALLY HOMOGENEOUS PERTURBATIONS

Journal of Mechanics in Medicine and Biology ◽

10.1142/s0219519404001107 ◽

2004 ◽

Vol 04 (03) ◽

pp. 361-387 ◽

Cited By ~ 1

Author(s):

ALISA S. VADASZ ◽

MILAN CARSKY ◽

ABIN S. GUPTHAR ◽

PETER VADASZ

Keyword(s):

Stability Analysis ◽

Linear Stability ◽

Linear Stability Analysis ◽

Stationary Solutions ◽

Lag Phase ◽

Future Potential ◽

Spatially Homogeneous ◽

The Stability ◽

A linear stability analysis of the stationary solutions for growth of populations with respect to Spatially Homogeneous Perturbations (SHoP) is presented. The Neoclassical growth theory is extended to apply to spatially heterogeneous populations. The latter includes the metabolic mass transfer effects and allows for the recovery of substantial and distinct phenomena observed experimentally, such as the mechanism controlling the LAG phase, a result that holds impressive future potential in diverse applications. The stability conditions are expressed explicitly in terms of the primitive parameters of the original nonlinear system. The results are necessary when undertaking a corresponding linear stability analysis for growth of populations with respect to Spatially Heterogeneous Perturbations (SHeP).

Extensions to Neoclassical Growth Theory

Springer Texts in Business and Economics - Economic Growth and Development ◽

10.1007/978-3-319-14265-4_3 ◽

2015 ◽

pp. 51-89

Author(s):

Sibabrata Das ◽

Alex Mourmouras ◽

Peter C. Rangazas

Keyword(s):

Growth Theory ◽

Endogenous growth theory and regional development policy

Spatium ◽

10.2298/spat1534010c ◽

2015 ◽

pp. 10-17

Author(s):

Slobodan Cvetanovic ◽

Milorad Filipovic ◽

Miroljub Nikolic ◽

Dusko Belovic

Keyword(s):

Economic Growth ◽

Regional Development ◽

Endogenous Growth ◽

Driving Forces ◽

Growth Theory ◽

Regional Competitiveness ◽

Endogenous Growth Theory ◽

The numerous versions of endogenous explanations of economic growth emphasize the importance of technological change driving forces, as well as the existence of appropriate institutional arrangements. Endogenous growth theory contributes to a better understanding of various experiences with long-term growth of countries and regions. It changes the key assumptions of the Neoclassical growth theory and participates in the modern regional development physiology explanation. Based on these conclusions, the paper: a) explicates the most important theoretical postulates of the theory, b) explains the most important factors of economic growth in the regions in light of the Endogenous growth theory messages and c) emphasizes the key determinants of regional competitiveness which in our view is conceptually between the phenomena of micro- and macro-competitiveness and represents their necessary and unique connection. First of all, micro-competitiveness is transformed into a regional competitiveness; then regional competitiveness is transformed into a macro-competitiveness. In turn, macro - influences the microeconomic competitiveness, and the circle is closed. After that, the process starts over again.