2015 (74th) Society for Investigative Dermatology (SID) Annual Meeting, Atlanta, USA, May 6-9, 2015, 




695, Rapid hair cycle pattern breakdown during mouse development revealed with the aid of mathematical modeling

J Oh, Q Wang, Q Nie and M Plikus

University of California, Irvine, Irvine, CA

Recognized for its periodicity, excitability, and patterning, the hair follicle (HF) is becoming a preferred biological system for the mathematical modeling of regeneration. Cyclic growth of HFs is regulated both by signaling interactions within the HF (signaling micro-environment) and long-range signals between neighboring HFs and other skin cells (macro-environment). Herein, we developed a mathematical model based on the molecular dynamics of parallel activator/inhibitor pathways, where both single HF and population level behaviors emerge naturally upon scaling. We modeled the phenomenon of age-dependent hair cycle pattern breakdown, wherein highly synchronous hair growth in the first two cycles is thought to become replaced by the asymmetric hair growth waves in the third cycle. Surprisingly, our modeling shows that the breakdown in the hair growth symmetry requires approximately ten hair cycles, far more than the observable two cycles. Additional simulations predicted two new requirements for the rapid hair growth pattern evolution: (i) hair growth asynchrony must already exist during the first, morphogenetic hair cycle; and (ii) two or more HF populations with distinct hair cycle parameters must interact with one another. Next, we performed a detailed hair growth pattern analysis during the first two hair cycles. Indeed, we found previously unrecognized spatial-temporal wave of hair morphogenesis. Furthermore, we identified previously unknown interactions between anatomically distinct HF populations at the onset of the second anagen. Taken together, here we applied a Systems Biology approach to reveal previously unrecognized hair cycle dynamics that contribute to rapid hair growth pattern evolution in mouse skin. Our findings challenge the prevailing view that the first two hair cycles as been synchronous. They have important implications for designing and interpreting future hair cycle experiments.

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693, Studying hair cycle clock with the aid of multi-scale diffusion-based mathematical modeling

J Oh, Q Wang, Q Nie and M Plikus

University of California, Irvine, Irvine, CA

Hair follicle (HF) is the model system of choice for studying mechanisms of regeneration. Each HF features a prominent stem cell compartment and a tractable regeneration cycle, consisting of the anagen, catagen, and telogen phases. To-date, the fundamental mechanism underlying the timing of hair growth, aka “hair cycle clock” remains largely unknown. One possibility is that the hair cycle clock is composed of two or more activator and inhibitor signaling pathway pairs and that key hair cycle phase transitions occur at certain cumulative thresholds for these pathway activities. Herein we developed a mathematical model that accounts for natural HF geometry and cell dynamics. Incorporating activator/inhibitor signals in the context of this model produces stable periodicity and excitability – hallmark features of the natural hair cycle. In the context of our model, activator/inhibitor signals were predicted to have opposing effects on anagen and telogen phase periodicity. Increasing activator levels was predicted to shorten telogen and lengthen anagen. The inverse effects were modeled for an inhibitor. Here, we focused on anagen phase length and validated these predictions for BMP/WNT signaling pair. Using mouse models we show that decreasing inhibitory BMP signaling leads to the production of longer hairs, thus indicating a longer anagen. We also demonstrate that decreasing activating WNT signaling in mutant mice results in shorter hairs. Finally, we showed that some hair types were the most sensitive to changes in BMP levels than others, suggesting differential effects of BMP modulation. Simulations of this phenomenon suggests that changes in just one background model parameter is sufficient to recapitulate differential sensitivity of hair types to the same net change in the activator/inhibitor signaling levels. Taken together, we provide the first example of a diffusion-based mathematical model that accounts for realistic changes in HF geometry, displays stable periodicity and excitability. It creates a novel opportunity for studying the hair cycle clock mechanism using Systems Biology approach.

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Hair Biologist, Hair Transplantation Surgeon, Medical Scientist