Chemical Potential-Induced Wall State Transitions in Plant Cell Growth

摘要: The pH/T duality of acidic pH and temperature (T) action for the growth grass shoots was examined in order to derive phenomenological equation wall properties living plants. By considering non-meristematic as a dynamic series state transitions (STs) extending primary wall, critical exponents were identified, which exhibit singular behaviour at temperature, chemical potential (μ) form four power laws: $$f_{\pi } \left( \tau \right) \propto \left| \right|^{\beta - 1}$$ , $$f_{\tau (\pi ) \pi \right|^{1 \alpha }$$ $$g_{\mu (\tau \right|^{ 2 + 2\beta $$g_{\tau (\mu \mu \right|^{2 . indices α β are constants, while π τ represent reduced respectively. convexity relation α + β ≥ 2 practical pH-based analysis β ≡ 2 “mean-field” value microscopic representation derived. In this scenario, magnitude that is decisive H+ ions, force subsequent STs growth. Furthermore, observation rate generally proportional product Euler beta functions T pH, allowed determine hidden content Lockhart constant Ф. It turned out pH-dependent time evolution explains either monotonic or periodic extension usually observed—like one detected pollen tubes—in unified account.