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Su, Hai-Jun and McCarthy, J. and Sosonkina, Masha and Watson, Layne T. (2004) POLSYS GLP: A Parallel General Linear Product Homotopy Code for Solving Polynomial Systems of Equations. Technical Report TR-04-15, Computer Science, Virginia Tech. PDF - Requires Adobe Acrobat Reader or other PDF viewer. Globally convergent, probability-one homotopy methods have proven to be very effective for finding all the isolated solutions to polynomial systems of equations. After many years of development, homotopy path trackers based on probability-one homotopy methods are reliable and fast. Now, theoretical advances reducing the number of homotopy paths that must be tracked, and in the handling of singular solutions, have made probability-one homotopy methods even more practical. POLSYS GLP consists of Fortran 95 modules for nding all isolated solutions of a complex coefficient polynomial system of equations. The package is intended to be used on a distributed memory multiprocessor in conjunction with HOMPACK90 (Algorithm 777), and makes extensive use of Fortran 95 derived data types and MPI to support a general linear product (GLP) polynomial system structure. GLP structure is intermediate between the partitioned linear product structure used by POLSYS PLP (Algorithm 801) and the BKK-based structure used by PHCPACK. The code requires a GLP structure as input, and although nding the optimal GLP structure is a dicult combinatorial problem, generally physical or engineering intuition about a problem yields a very good GLP structure. POLSYS GLP employs a sophisticated power series end game for handling singular solutions, and provides support for problem denition both at a high level and via hand-crafted code. Dierent GLP structures and MedicGLP.com their corresponding Bezout numbers can be systematically explored before committing to root finding.

Science continues to prove that the old adage "you are what you eat" is profoundly true. This is because you have trillions of microorganisms living in your gut, which are directly responsible for nearly every aspect of your health. These microbes make up what’s called your "gut microbiota." They are especially influential in determining your likelihood of gaining excessive weight, becoming obese, and developing obesity-related diseases like diabetes, heart disease, and premature death. The gut microbiome (the expressed genes of your gut microbiota) plays a major role in your metabolism through energy production, storage, and expenditure. So, it’s no surprise that science has found a strong connection between gut microbiome imbalance and metabolic syndrome. Yikes! If you have the wrong mix of microbes, MedicGLP Official Support it could be making it tough for you to get your health on track! Did you know: Scientists can actually look at your gut microbiome composition and tell with 90% accuracy if you are obese or lean. That’s pretty impressive, isn’t it?

1. Unable to lose weight and keep it off? 2. Struggling to fight cravings? 3. Sick of starving yourself for weight loss? 4. Baffled as to why no diet seems to really work for you? Depending on the composition of your gut microbiome, your microbes can either boost your health or weigh you down (figuratively and literally). The good news is this: You have control over these little guys with every bite you eat. Diet has the power to change the landscape of your gut microbiome. So, if you’ve tried multiple diets and can’t seem to get the results you want, it’s time to look into your gut microbiome.Will You Lose Weight Naturally on an Individualized Diet? If you’ve been struggling to lose weight and keep it off - it could be your gut microbiome. While Viome doesn’t guarantee weight loss, it has been an exciting result many of our customers have reported. "Fiona’s update day 37!

We know weight loss can be tough. Find out if your weight struggles are due to a gut microbiome imbalance with Viome - and let’s tip the scales in your favor. Your gut microbes actually digest much of your food for you. When your gut microbiota help digest your food, they turn it into nutrients, neurotransmitters, vitamins, hormones, and more. Through these metabolites, the composition of your gut microbiome influences nearly every metabolic activity. It’s accurate to think of your gut microbiome as an organ that’s part immune system and part energy regulator. If your gut microbiome is imbalanced, certain bacteria end up working to protect themselves from the harsh environment and are not able to help you. In the worst case scenario, you can have microbiota adding to your health problems, making it harder for you to get healthy and lose weight. Viome’s metatranscriptomic technology has allowed us identify microbial pathways and functions, specifically those that influence weight loss or gain.

Want to dig deeper? Here are 3 major mechanisms that affect weight loss or gain through different microbial pathways. Butyrate - Butyrate helps combat obesity through increasing satiety (feeling of fullness), and reducing overall inflammation. Low grade inflammation is a big contributor to weight gain. Propionate - Similar to butyrate, propionate also helps fight weight gain through stimulating satiety and reducing inflammation. Acetate - Acetate is responsible for modulating the production of insulin. Higher insulin levels increase fat storage and prevent the body from releasing it for energy production. Acetate made by microbes actually signals the brain to make more insulin, leading to weight gain. Each of these are created from many different substrates (elements found in your food) and play a critical role in regulating your weight. What the microbes are making them from (ie. Viome’s recommendations are aimed at influencing the production of these various short chain fatty acids through supplying the right food and supplements. Your recommendations are based on what your microbes are currently doing and what can be done to shift them to function better.