Tuesday, October 15, 2019

Range expansion shifts clonal interference patterns in evolving populations

While Nikhil was trying to sort out a simulation of Michael Baym's beautiful megaplate experiment, we started wondering about the comparison of effective population size and agents in his (Nikhil’s) individual based model. The struggle was that to 'realistically' simulate this in a CA model would require order 10^10 agents, something that is not feasible. We were looking at something more like order 10^4... so what did that mean? Each CA element was something like 10^6 bugs? If that was the case -- what does 'mutation' mean in terms of our CA model?


Figure 1B from Baym's science paper (link above). The real size is on the order of feet...  that is a LOT of bugs.

What it would mean is that instantly, all 10^6 or so bugs would change their genotype... well, this was clearly crazy wrong :)

So, we started thinking about how populations spread in space (Fisher-like waves), and we found the wonderful body of work from the Gore, Hallatschek and Korolev labs thinking about mutational surfing (essentially at the wave tip there is a changed effective population size so the balance between drift and selection can change)


Image


Formulating a model of (stochastic) mutation dynamics in a Fisher-like wave like those before us yielded known results. For a range of parameters, fixation of mutants can be promoted near the wave front - often called "mutations surfing on a wave".

Image

So far, all this is known. Let's also recall from standard (well mixed) popgen (think Kimura) that depending on the relationship between the average time to establishment of a mutant, and the time to fixation, we can have qualitatively different evolutionary dynamics (e.g. strong selection weak mutation (SSWM) when the time to establishment is far larger than time to fixation; and weak selection strong mutation (WSSM) or strong selection strong mutation (SSSM) when the opposite is true, of if they are comparable). This is where we started to wonder...




we think a lot about strong selection (like in the form of experimental evolution in antibiotics or associated mathematical models of similar systems) and often make the assumption that our dynamics are in the SSWM regime -- but this need not always be the case (in fact, it likely isn't).

So, to really get at this, Nikhil defined a 'clonal interference index' as the log of the ratio of the fixation and establishment time, and calculated this all along the wavefront. What popped out is a pretty fun result: depending where are you on the wave front, you experience qualitatively different evolutionary dynamics.




This is our first real effort working in the range expansion space -- so we are very eager for any feedback (in particular if we've missed key references or if this is already a solved problem!).

Please check out the full preprint on bioRxiv for more details, and drop us a line if you have comments/questions.



52 comments:

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    ReplyDelete
  11. A MIRACLE TESTIMONY FOR WHAT Dr SAY0 HAS DONE FOR ME!!  
    Human PapilomaVirus (HPV) Cure Found By Dr Sayo If you're wondering why am here or why am doing this!, i just want to show appreciation to God, and i want other persons who is suffering from this deadly illness, ( Herpes, Coronary Artery Disease (Ischemic Heart Disease), Hiv/AID, Stroke, Trachea, Bronchus, and Lung Cancers, Diarrhea Diseases, Diabetes Mellitus, Dengue, Rota-virus, Other STD and others ) maybe because of ignorance. if you see this don't ignore, i was a victim of hpv, some one introduced him to me, i wrote him, told him what i was going through,  i was not too sure he could help, because i seen other persons, or post but no good outcome, he told me he could help, like others, i got the medicine or the herb whatever you may want to call it, he didn't even charge me a lot, to God i didn't want to use it, but i did, to God be the glory am the one sending this post today in good health and sound mind, ..smile.. i seek for him, i didn't mind the distance so i could show appreciation, i meet with Dr Sayo he didn't ask for anything, all he said is, 'It's God doing. I saw him treat people with different situation and problem maybe worse than yours, tell others. so am telling you today, don't ignore this, if you see this post, tell the next person who you think might need this. contact him,on email (sayoherbalhealer@gmail.com) check his FB page:  https://www.facebook.com/Sayo-Herbal-Healer-100145798345000/ OR visit his websites website; http://sayoherbalhealer.website2.me/  check blog: https://sayoherbalhealer.blogspot.com/

    ReplyDelete
  12. HOW I WAS ABLE TO FLUSH OUT THE HERPES VIRUS WITH THE HELP OF DR. KHAM NATURAL PRODUCT, HIS EMAIL dr.khamcaregiver@gmail.com. I was diagnosed with Herpes a year ago. It’s the worst thing that’s ever happened to me and  I feel like my life is over. Living with constant pain is something no one should have to go through, Herpes has also had a huge impact on my sleep . Since being diagnosed I’ve fallen so far into depression I see no way out because i have been to different hospital. I’m taking a high dose of antidepressants, as well as sedatives and sleeping-pills. I don’t know how I’ll ever accept that this is my life now…I keep asking why me because know changes? But I guess reading your testimony really made me feel happy because i believe what i had from people out there who you also help to cure the herpes virus, and i believe so much with your herbal medicine i am going to be out of this bad situation like others you also help before, what we i have done if not for the herbal medicine that i requested for that was able to flush out the bad virus that was making me go crazy. people out there how will i thank this man called DR. KHAM, i will advice you to email him direct if you have disease like herpes etc. dr.khamcaregiver@gmail.com or whatsapp him +2348159922297

    ReplyDelete
  13. Irrespective of receiving daily oral or future injectable depot therapies, these require health care visits for medication and monitoring of safety and response. If patients are treated early enough, before a lot of immune system damage has occurred, life expectancy is close to normal, as long as they remain on successful treatment. However, when patients stop therapy, virus rebounds to high levels in most patients, sometimes associated with severe illness because i have gone through this and even an increased risk of death. The aim of “cure”is ongoing but i still do believe my government made millions of ARV drugs instead of finding a cure. for ongoing therapy and monitoring. ARV alone cannot cure HIV as among the cells that are infected are very long-living CD4 memory cells and possibly other cells that act as long-term reservoirs. HIV can hide in these cells without being detected by the body’s immune system. Therefore even when ART completely blocks subsequent rounds of infection of cells, reservoirs that have been infected before therapy initiation persist and from these reservoirs HIV rebounds if therapy is stopped. “Cure” could either mean an eradication cure, which means to completely rid the body of reservoir virus or a functional HIV cure, where HIV may remain in reservoir cells but rebound to high levels is prevented after therapy interruption.Dr Afrid Herbal Medicine makes me believes there is a hope for people suffering from,Parkinson's disease,Schizophrenia,Cancer,Scoliosis,Fibromyalgia,Fluoroquinolone Toxicity
    Syndrome Fibrodysplasia Ossificans Progressiva.Fatal Familial Insomnia Factor V Leiden Mutation ,Epilepsy Dupuytren's disease,Desmoplastic small-round-cell tumor Diabetes ,Coeliac disease,Creutzfeldt–Jakob disease,Cerebral Amyloid Angiopathy, Ataxia,Arthritis,Amyotrophic Lateral Sclerosis,Alzheimer's disease,Adrenocortical carcinoma.Asthma,Allergic diseases.Hiv_ Aids,Herpes,Inflammatory bowel disease ,Copd,Diabetes,Hepatitis,I read about him online how he cure Tasha and Tara so i contacted him on drafridherbalhome@gmail.com even talked on whatsapps +2349057260738 believe me it was easy i drank his herbal medicine for two weeks and i was cured just like that isn't Dr Afrid a wonder man? Yes he is! I thank him so much so i will advise if you are suffering from one of those diseases please do contact him he's a nice man.

    ReplyDelete
  14. Irrespective of receiving daily oral or future injectable depot therapies, these require health care visits for medication and monitoring of safety and response. If patients are treated early enough, before a lot of immune system damage has occurred, life expectancy is close to normal, as long as they remain on successful treatment. However, when patients stop therapy, virus rebounds to high levels in most patients, sometimes associated with severe illness because i have gone through this and even an increased risk of death. The aim of “cure”is ongoing but i still do believe my government made millions of ARV drugs instead of finding a cure. for ongoing therapy and monitoring. ARV alone cannot cure HIV as among the cells that are infected are very long-living CD4 memory cells and possibly other cells that act as long-term reservoirs. HIV can hide in these cells without being detected by the body’s immune system. Therefore even when ART completely blocks subsequent rounds of infection of cells, reservoirs that have been infected before therapy initiation persist and from these reservoirs HIV rebounds if therapy is stopped. “Cure” could either mean an eradication cure, which means to completely rid the body of reservoir virus or a functional HIV cure, where HIV may remain in reservoir cells but rebound to high levels is prevented after therapy interruption.Dr Afrid Herbal Medicine makes me believes there is a hope for people suffering from,Parkinson's disease,Schizophrenia,Cancer,Scoliosis,Fibromyalgia,Fluoroquinolone Toxicity
    Syndrome Fibrodysplasia Ossificans Progressiva.Fatal Familial Insomnia Factor V Leiden Mutation ,Epilepsy Dupuytren's disease,Desmoplastic small-round-cell tumor Diabetes ,Coeliac disease,Creutzfeldt–Jakob disease,Cerebral Amyloid Angiopathy, Ataxia,Arthritis,Amyotrophic Lateral Sclerosis,Alzheimer's disease,Adrenocortical carcinoma.Asthma,Allergic diseases.Hiv_ Aids,Herpes,Inflammatory bowel disease ,Copd,Diabetes,Hepatitis,I read about him online how he cure Tasha and Tara so i contacted him on drafridherbalhome@gmail.com even talked on whatsapps +2349057260738 believe me it was easy i drank his herbal medicine for two weeks and i was cured just like that isn't Dr Afrid a wonder man? Yes he is! I thank him so much so i will advise if you are suffering from one of those diseases please do contact him he's a nice man.

    ReplyDelete
  15. Greetings everyone.

    i am very happy to share this little awesome testimony about Dr OKISIN a great herbal doctor who help me enlarge my penis size.3.2 cm to 8.3 cm longer with his herbal cream mixture, my girlfriend is now so amazed with the autonomous size of my penis , if you you are also in need of help on how to enlarge your penis to become bigger and stronger I advIce you to contact Dr OKISIN on his email (dr.okisinsolutiontemple@gmail.com) ) or contact him on whatsapp number +2348149508633 because he is one of the best herbal doctor that i can only show you up to, if your penis is 4.2 cm and want to get it reach 9.2 cm within three weeks i recommend Dr OKISIN he is also specialized on  breast and boobs enlargement i will advise you to contact him for help   DR OKISIN whatsapp number +2348149508633...........  

    ReplyDelete
  16. My husband left me for another woman after one year of our marriage. I needed him back desperately because i loved him so much. I became very worried and needed help. On this faithful day  as i was browsing through the internet, I came across a particular testimony about this good DR IROSI help get ex back fast and stop a divorce or breakup and so on , So I felt I should give him a try. I contacted him and he told me what to do and i did it then he did a (return Love spell) for me. 48 hours later, my husband came back to me crying and begging for my forgiveness. Today I’m so happy and i want to recommend this great spell caster to anyone that truly needs an urgent solution to his or her broken relationships and marriage email him at:(DRIROSISOLUTIONCENTER@GMAIL.COM) Simply contact the great “DR IROSI” If you have any problem contact him and i guarantee you that he will help you., do not cry anymore-contact this powerful spell caster now. Thank you DR IROSI for saving my broken relationships and brought my husband back to me!” email him at: (DRIROSISOLUTIONCENTER@GMAIL.COM) or call/whatsapp him via: +2348118829771.    

    ReplyDelete
  17. Never give up in life they all say no cure to HSV 2 which is a big lie I have pass through many process also i never believe there is really cure to HERPES until I meet Dr. Sayo the doctor that have been helping many people for many years, I come across this doctor online when I was searching for cure online I found out about this man, and to my greatest surprise this man have the herbal medicine which I have been looking for years I explain my problem to him through the email I found on someone who testify about him also, Dr.Sayo reply and explain how the process work so after ordering for the medicine I got it within 4 days and I took it according to the way Dr.Sayo instructed, I was so happy after two week I took the medicine there was very big change in my health when I was done with the process I go for test, I found out I am negative that was the day I have the tears of joy you can also get in contact with my doctor through his email now (sayoherbalhealer@gmail. com) OR Contact Sayo by check FB Page https://www.facebook.com/Sayo-Herbal-Healer-100145798345000/  check website; http://sayoherbalhealer.website2.me/  check blog: https://sayoherbalhealer.blogspot.com/  And He also have herbs medicine to cured the following diseases; eczema,urethra wart,chronic problems.Herpes, Cancer, Als,Hepatitis, Diabetes, HPV,Infections,ulcer  ETC 

    ReplyDelete
  18. hello everyone here i am Jack Mark a medical doctor from United Kingdom , i want to share a great testimony of how Dr AKIOYA herbal mixture cream saves me from shame and disgrace, my penis size was a big problem to me as the size was really so embarrassing and discouraging, a 39 year old full grown man like me having 4 inches penis and to worsen it i don't last in sex i cant even last two minutes it was really a thing of shame my wife was really tired of me because my sex life was very poor , she never enjoyed sex, i was always thinking and searching for solutions everywhere until last two months when i saw a testimony of how Dr AKIOYA herbal mixture cream have been helping people from the globe,i saw one MR KENNETH BERTNEY testifying of how Dr AKIOYA helped him enlarge his penis size so i decided to give him a try ,i visited his website link https://drakioyaherbalhome.blogspot.com/ we talked and he gave me steps to follow which i did and to my greatest surprise in less than two weeks of taking the herbal mixture cream my penis grow to 8 inches i couldn't believe my eyes and as i speak now my penis is now 10.5 inches long and i was amazed when my wife said i satisfy her so well now all thanks to Dr AKIOYA herbal mixture cream,i will forever be grateful To him i also learnt that Dr AKIOYA also have the herbal cure to problems like

    PENIS ENLARGEMENT
    ERECTILE DYSFUNCTION
    DIABETES type 1 and type 2
    HERPES GENITAL WART
    LOW SPERM COUNT
    WEAK ERECTION
    BREAST ENLARGEMENT
    PROSTRATE CANCER
    HIV/AIDS
    SPELL OF ALL KINDS LIKE EX BACK,CANCEL DIVORCE,BREAK UP SPELL ,PREGNANCY SPELL,PROMOTION SPELL,JOB SPELL
    ALS
    HPV 123
    PILE
    ASTHMA
    HEART FAILURE
    PREMATURE EJACULATION
    HEPATITIS A,B,C AND MANY MORE
    so if you you are suffering from any of this problems please do not hesitate to contact him now email drakioya17spellhome@gmail.com website http://drakioyaherbalcenter.home.blog
    https://drakioyaherbalhome.blogspot.com/ you can call him or Whatsapp Dr AKIOYA via whatsapp +2348105257464 thanks

    ReplyDelete







  19. Hi Friends i am so glad to writing this article today to tell the world how Dr Sayo cured my HSV VIRUS,i have been detected with HSV-1 AND HSV-2 since five years ago, ever since then my life has been in complete bizarre and agony,i have used so many drugs that was prescribed to me by several doctors,but it didn't cure my HSV VIRUS neither did it reduce the pain,until a certain i was checking for solution in the internet,then miraculously came across Dr Sayo the powerful herbalist that cure numerous individuals HSV-1 AND HSV-2 INFECTION,then i contacted his email: sayoherbalhealer@gmail.com i explained everything to him and prepared a cure that cure my HSV-1 AND HSV-2 disease totally after receiving his herbal medicine, so my friends viewers why wait and be suffer when there is someone like Dr Sayo that can cure any disease HIV/ CANCER/ HEPATITIS B VIRUS, you can contact his via email: (sayoherbalhealer@gmail.com) check his FB page:  https://www.facebook.com/Sayo-Herbal-Healer-100145798345000/ OR visit his websites website; http://sayoherbalhealer.website2.me/  check blog: https://sayoherbalhealer.blogspot.com/  




















    Hi Friends i am so glad to writing this article today to tell the world how Dr Sayo cured my HSV VIRUS,i have been detected with HSV-1 AND HSV-2 since five years ago, ever since then my life has been in complete bizarre and agony,i have used so many drugs that was prescribed to me by several doctors,but it didn't cure my HSV VIRUS neither did it reduce the pain,until a certain i was checking for solution in the internet,then miraculously came across Dr Sayo the powerful herbalist that cure numerous individuals HSV-1 AND HSV-2 INFECTION,then i contacted his email: sayoherbalhealer@gmail.com i explained everything to him and prepared a cure that cure my HSV-1 AND HSV-2 disease totally after receiving his herbal medicine, so my friends viewers why wait and be suffer when there is someone like Dr Sayo that can cure any disease HIV/ CANCER/ HEPATITIS B VIRUS, you can contact his via email: (sayoherbalhealer@gmail.com) check his FB page:  https://www.facebook.com/Sayo-Herbal-Healer-100145798345000/ OR visit his websites website; http://sayoherbalhealer.website2.me/  check blog: https://sayoherbalhealer.blogspot.com/  




    ReplyDelete
  20. Dr. Kham herbal medicine is the best remedy for Herpes and HIV/AIDS, I was a carrier of Herpes and I saw a testimony on how Dr. Kham cure Herpes, I decided to have a contact with him and asked him for help and he started the remedies for my health and prepare the herbal medicine for me which i use to cure myself. Thank God, now everything is fine, I’m cured by Dr. Kham herbal medicine, I’m very thankful to Dr.Kham and i will not stop publishing his name on the internet because of the good work he did for me, You can reach him on his email: dr.khamcaregiver@gmail.com Or you can call and WhatsApp him on +2348159922297, You can also visit his website: https://drkhamherbalhealingcenter.wordpress.com/    


    DOCTOR KHAM CAN AS WELL CURE THE FOLLOWING DISEASE:-

    1. HIV/AIDS
    2. HERPES
    3. CANCER OF ALL KINDS
    4. HSV
    5. Hepatitis A,B,C
    6. Diabetes
    7. CHRONIC DISEASE

    Natural remedy for curing HERPES and HIV. Call and whatsapp Dr Kham on +2348159922297  

    ReplyDelete
  21. I’m Blessing by name, i was diagnosed with Herpes virus for 3 years, i lived in pain with the knowledge that i wasn’t going to ever be well again i contacted so many herbal doctors on this issue and wasted a large sum of money but my condition never got better i was determined to get my life back so one day i saw Mr Brown post on how Dr Akuza saved him from the VIRUS with herbal medicine i contacted Dr Akuza. on his email address  (drakuzasolutioncenter@gmail.com)  we spoke on the issue i told him all that i went through and he told me not to worry that everything will be fine again so he prepared the medicine and send it to me through courier service and told me how to use it, after 14 days of usage I went to see the doctor for test, then the result was negative, am the happiest woman on earth now. This testimony is real. thanks to Dr Akuza. God bless you. you can also reach him on his whatsApp number +2348072437003.,

    ReplyDelete
  22. 5 years ago I had warts, I was treated with some liquid applied to the warts they continued to grow and spread... The next 2 doctors did laser surgery to remove them. 1 year after the surgery, they grew back close to where the 1st ones were' so I was finally told it was hpv. I have had it for very long time, I contract it from my cheated boyfriend and I found out he was also infected and I end up the relationship between us. the warts was so embarrasses because it started spreading all over I have be dealing with this things for very long time the last treatment I take was About 2 years ago I applied natural treatment from Dr onokun herbal cure, a week after applying the treatment all the warts was gone. it's now 2 years and some months I don't have single wart or any symptoms of hpv. wow"" it's great, Dr onokun has finally cured me. Anyone living with hpv contact Dr onokun for natural treatment.
    His email address: dronokunherbalcure@gm‎ail.com or his website at www.Dronokunherbalcure.wordpress.com or https://www.facebook.com/naturaltreatmentcenter1/    

    ReplyDelete
  23. I have been suffering from Herpes for the past 3 years and 8 months, and ever since then i have been taking series of treatment but there was no improvement until i came across testimonies of Dr Sayo on how he has been curing different people from different diseases all over the world, then i contacted him as well. After our conversation he sent me the medicine which i took according to his instructions. When i was done taking the herbal medicine i went for a medical checkup and to my greatest surprise i was cured from Herpes. My heart is so filled with joy. If you are suffering from Herpes or any other disease you can contact Dr Sayo today on this Email address: (sayoherbalhealer@gmail.com) or WhatsApp him on this Number +2349012175679 Visit his FB page: https://www.facebook.com/Sayo-Herbal-Healer-100145798345000/    also visit website: http://sayoherbalhealinghome.com/ or check blogs: https://naturerootandherbscures.blogspot.com/

    ReplyDelete
  24. NATURAL HERBS  AND REMEDIES FOR CURING HIV, HERPES, HPV, HSV1&2, CANCER AND DIABETES I just experienced the wonders of Dr. Kham herbs. God will continue to bless you Dr. Kham more abundantly for the good work you are doing in people's life by curing them from different types of diseases. I will keep on testifying about your good work. I was diagnosed with herpes 6 months ago and my doctor told me that there is no cure. I did not believe him and I keep my faith up hoping that one day I will be cured from this horrible disease. One day I saw a post on the Herpes Virus Blog forum about a herbal doctor called Dr. Kham on how he cures people from diseases with his herbs and I quickly contacted Dr. Kham on his email explained my problem to him and he told me not to worry that he is going to cure me and truly he prepared the cure and sent it to me through UPS and gave me instructions on how to take it. After two weeks of taking the herbal Medication, I went to my doctor for a checkup and my results showed Negative and my doctor told me that there is no trace of herpes in my body and the virus is completely gone from my body. Everybody at the clinic rejoices with me and they all ask for Dr. Kham contact. You can contact Dr. Kham on his email: dr.khamcaregiver@gmail.com or add whats-app +2348159922297  and you can get in touch with him on his website: https://drkhamherbalhealingcenter.wordpress.com/   or https://drkhamcaregiver.wixsite.com/drkhamcaregiverherba , He also have herbs medicine to cured the following diseases: [eczema], [urethra wart], [chronic problems], [Herpes], [Cancer], [Als], [Hepatitis], [Diabetes], [HPV], [Infertility/PCOS Infections] , [ulcer  ETC......

    ReplyDelete
  25. Am Laura Mildred by name, i was diagnosed with Herpes 4 years ago i lived in pain with the knowledge that i wasn't going to ever be well again i contacted so many herbal doctors on this issue and wasted a large sum of money but my condition never got better i was determined to get my life back so one day i saw Mr. Morrison Hansen post on how Dr. Emu saved him from Herpes with herbal medicine i contacted Dr. Emu on his Email: Emutemple@gmail.com we spoke on the issue i told him all that i went through and he told me not to worry that everything will be fine again so he prepared the medicine and send it to me and told me how to use it, after 14 days of usage I went to see the doctor for test,then the result was negative, am the happiest woman on earth now thanks to Dr. Emu God bless you. Email him at: Emutemple@gmail.com Whats-app or Call him: +2347012841542 

    ReplyDelete

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    ReplyDelete
  27. I was cured of CANCER with the used of natural herbs. My name is Mella Ken and am from US. I love herbs so much. Most times, injection and drugs are just a waste of time. I was cured 8 months ago, i suffered from CANCER for 3 yrs but with the help of Dr.Sayo herbal medicine, i was cured within few weeks of drinking the herbs he sent to me through courier delivery service. This same doctor also cured my Aunty from FIBROID, as soon as i heard she had FIBROID, i quickly refer her to Dr.Sayo and she was cured too after drinking his herbs.I have referred more than 15 persons to Dr.Sayo and they were all cured from their various illness. Have you taken herbs before?. You have spent so much money on drugs,injections,surgeries etc and yet you have no good result to show for it. Contact Dr. Sayo now, he is a herbalist doctor, i assured you of a cure if you drink his natural herbs. Dr.Sayo have herbs that cures Hiv, Herpes, diabetics, asthma, hepatitis, HBP, STD, cancer, chronic, etc. Contact Dr Sayo through his Email address on: sayoherbalhealer@gmail.com or WHATSAPP/CALL him on+2349012175679 Visit his FB page: https://www.facebook.com/Sayo-Herbal-Healer-100145798345000/    
    also visit website: http://sayoherbalhealinghome.com/ or check blogs: https://naturerootandherbscures.blogspot.com/ Please share the good news to other people once you are cured    

    ReplyDelete
  28. hello everyone here i want to tell the whole world about Dr AKIOYA herbal mixture cream ...Dr AKIOYA penis enlargement herbal cream in Africa.This is the only Male Penis Enlargement Cream has been used by men around the world like USA,CANADA,AUSTRALIA,BELGIUM,SWEDEN,GERMANY,UK,SINGAPORE,MALAYSIA AND SO MANY MORE supplement that has been PROVEN to-enlarge your penis – safely, quickly, and importantly – PERMANENTLY.Full Dr AKIOYA Penis Enlargement Cream when used will Increase in penis length by 1-5 inches Increase in penis width by 20%helps in preventing Premature Ejaculation.Achieved longer, rock hard erections All gains in penis length and width are 100% permanent Full AKIOYA Penis Enlargement Cream is also:100% Herbal, 100% Safest with no side effect and its of two types I have the one for enlargement and for reduction and your advised to use it by message 100% Satisfaction and Money Back Guarantee. DR. AKIOYA , About my products i have herbal cream and oil 100% Permanent Guaranteed resulting it on your body where you feel you want to reduce or enlarge which will help you to be strong and you get the desirable size you want-within 3-5 days and when you get your desirable size you are advised to stop using it and the results you gain will remain permanent We also do deliveries all over AFRICA, and worldwide so i would like to know first when do you need the product.for more information call or whatsapp Dr.AKIOYA +2348105257464 email drakioya17spellhome@gmail.com or visit his website http://drakioyaherbalcenter.home.blog
    https://drakioyaherbalhome.blogspot.com/ NOTE DR SALATO OF AFRICA ALSO HAVE HERBAL REMEDIES TO TO SICKNESSES OR DISEASES BELOW PENIS ENLARGEMENT,ERECTILE DYSFUNCTION,DIABETES type 1 and type 2 HERPES GENITAL WART,LOW SPERM COUNT,WEAK ERECTION,BREAST ENLARGEMENT,PROSTRATE CANCER,HIV/AIDS SPELL OF ALL KINDS LIKE EX BACK,CANCEL DIVORCE,BREAK UP SPELL ,PREGNANCY SPELL,PROMOTION SPELL,JOB SPELL, ALS, HPV 123,PILE,ASTHMA,HEART FAILURE,PREMATURE EJACULATION,HEPATITIS A,B,C AND MANY MORE.

    ReplyDelete
  29. I was cured of CANCER with the used of natural herbs. My name is Mella Ken and am from US. I love herbs so much. Most times, injection and drugs are just a waste of time. I was cured 8 months ago, i suffered from CANCER for 3 yrs but with the help of Dr.Sayo herbal medicine, i was cured within few weeks of drinking the herbs he sent to me through courier delivery service. This same doctor also cured my Aunty from FIBROID, as soon as i heard she had FIBROID, i quickly refer her to Dr.Sayo and she was cured too after drinking his herbs.I have referred more than 15 persons to Dr.Sayo and they were all cured from their various illness. Have you taken herbs before?. You have spent so much money on drugs,injections,surgeries etc and yet you have no good result to show for it. Contact Dr. Sayo now, he is a herbalist doctor, i assured you of a cure if you drink his natural herbs. Dr.Sayo have herbs that cures Hiv, Herpes, diabetics, asthma, hepatitis, HBP, STD, cancer, chronic, etc. Contact Dr Sayo through his Email address on: sayoherbalhealer@gmail.com or WHATSAPP/CALL him on+2349012175679 Visit his FB page: https://www.facebook.com/Sayo-Herbal-Healer-100145798345000/    
    also visit website: http://sayoherbalhealinghome.com/ or check blogs: https://naturerootandherbscures.blogspot.com/ Please share the good news to other people once you are cured    

    ReplyDelete
  30. DR Akioya Penis Enlargement Cream and pills has been used by men around the world This is the only Male enlargement supplement that has been PROVEN to enlarge your penis – safely, quickly, and importantly – PERMANENTLY. Full Penis Enlargement Cream and pills when used will; * Increase in penis length by 1-5 inches * Increase in penis width by 20%. * Helps in preventing Premature Ejaculation. * Achieved longer, rock hard erections * All gains in penis length and width are 100% permanent. Penis Enlargement Cream and pills is also: * 100% Herbal, 100% Safe * Very Discrete packaging and billing * 100% Satisfaction Guarantee ,We have the highest quality products Worldwide to improve your Love Life and your Fitness & Well being. We offer excellent value for money and provide you with a fast, efficient and friendly service. We supply men with alternative Herbal Medicine for ailments like Impotence (Erectile dysfunction),premature ejaculation, Fertility problems and other serious issues manhood Contact us right non via whatsapp him +23481052527464 or  Email Drakioya17spellhome@gmail.com
    you can checkout  is website; http://drakioyaherbalcenter.home.blog
    https://drakioyaherbalhome.blogspot.com/    

    ReplyDelete
  31. just wanna say a big thank you patrice cythia for introducing me to Dr Akioya the great HERBALIST that helped me prepare home remedies that cured my herpes simplex virus (HSV1&2) I was infected with herpes for the past two years and i was not happy all day so i was desperate to get a cure so that i can live normal and get healthy. One day i was less busy so i decided to make latest research on herpes cure and i found a site were everyone was talking about Dr Akioya and has ability to cure Herpes, HIV, HPV, Cancer, ALS, COPD, Anthrax, genital wart, cold sore, Arthritis skin tag and all manners of diseases and virus. So i discussed with cythia and she explained to me that its very easy working with Dr Akioya so i contacted Dr Akioya via email dr.akioya17spellhome@gmail.com and he helped me just as he has helped others now I am now cured from herpes am very happy now. and i can also assure you that he can also help you. so if you need the service of DR Akioya kindly contact him drakioya17spellhome@gmail.com. or whatsapp +2348105257464.He can also cure so many sickness

    ReplyDelete
  32. just wanna say a big thank you patrice cythia for introducing me to Dr Akioya the great HERBALIST that helped me prepare home remedies that cured my herpes simplex virus (HSV1&2) I was infected with herpes for the past two years and i was not happy all day so i was desperate to get a cure so that i can live normal and get healthy. One day i was less busy so i decided to make latest research on herpes cure and i found a site were everyone was talking about Dr Akioya and has ability to cure Herpes, HIV, HPV, Cancer, ALS, COPD, Anthrax, genital wart, cold sore, Arthritis skin tag and all manners of diseases and virus. So i discussed with cythia and she explained to me that its very easy working with Dr Akioya so i contacted Dr Akioya via email dr.akioya17spellhome@gmail.com and he helped me just as he has helped others now I am now cured from herpes am very happy now. and i can also assure you that he can also help you. so if you need the service of DR Akioya kindly contact him drakioya17spellhome@gmail.com. or whatsapp +2348105257464.He can also cure so many sickness

    ReplyDelete
  33. I want to use this opportunity to thank Dr Oyagu for the grate work he has done for me and my cousin sister, I was cured from herpes virus through his herbal remedy and my cousin sisters was also cured from Cancer. This is a grate testimony for what Dr Oyagu Has done for me and my entire generation. I’m giving this testimony so that those of you out there can contact him while he keeps saving my relatives. Send him a Dm and get a better health totally. Contact him via WhatsApp +2348101755322 or Email address:oyaguherbalhome@gmail.com you can also reach him on his website https://oyaguspellcaster.wixsite.com/oyaguherbalhome

    ReplyDelete
  34. i want to tell the whole world of great Herbalist herbal mixture CREAM. i was unhappy ever since my girlfriend back then in college mocked me of having a small penis and weak in bed ,ever since then i have been trying to improve my sex life but all effort failed ..but it got worse when i got married ,my wife is so angry with me and Threatened to leave me if i do not find a way out and i love my wife so much, so one faithful day i was reading some comments on a blog then i saw a comment of someone testifying of how Herbalist Dr helped him enlarge his penis and Fertilize his sperm count so i quickly contacted him by his email and he got back to me and i did as he said ..to my greatest surprise i got 10 inches within two weeks of using his herbal mixture cream and now its just 3 weeks i am having 10.5 inches i am so happy now..my wife told me am so much good in bed now all thanks to OGODO herbal mixture cream for saving my marriage and disgrace. NOTE: he also cure sicknesses and diseases like
    PENIS ENLARGEMENT ERECTILE DYSFUNCTION DIABETES type 1 and type 2 HERPES GENITAL WART
    LOW SPERM COUNT WEAK ERECTION
    BREAST ENLARGEMENT
    PROSTRATE CANCER
    HIV/AIDS
    PREMATURE EJACULATION
    LOVE SPELL AND BRING YOUR EX BACK
    You can reach him via email OGODOHERBALHOMESOLUTION@GMAIL.COM or WHATAPP HIM +23490440680467 You Can check his website on his Facebook page https://www.facebook.com/oogoherbalhomesolution/

    ReplyDelete
  35. Before people said there is no cure for herpes virus but today many people have now believe that there is a cure,herpes virus can be cured through Africans roots and herbs, Dr.chala he is the one of the great herbal doctor in Africa and he has the cure on this virus last month he share his herbal medicine in some medical hospital and now he is well recognize as one of the best in Africa, you don’t have to be sad any more or share your tears any more on this virus when the cure have already be find by Dr.Chala email him on dr.chalaherbalhome@gmail.com or https://
    drchalaherbalhome.godaddysites.com or https://mywa.link/dr.chalaherbalhome

    ReplyDelete
  36. I want to share this wonderful testimony to the Good people all over the world on how I was able to Enlarge my Penis by Dr. Aziba. I was living a shameful life from my young age, just last month as I was browsing on the internet about Penis size  and Enlargement Products, I saw a testimony of a Man called Tim James testifying of how he was able to get his penis Enlarged by Dr. Aziba and I decided to also Email Dr. Aziba for my small penis size and he quickly respond to me and gave me the normal instructions which i did and then he shipped the product to me here in the united state which i received in just 3 working days and today i am very happy because i started seeing positive changes in my penis size in just 7 days of use.  Dr Aziba herbal product is the best recommended for you and to whom ever suffering from this shame or having any other diseases as well should Contact this great herbal doctor via his Email : Priestazibasolutioncenter@gmail.com and WhatsApp Him on +2348100368288

    ReplyDelete
  37. I want to share this wonderful testimony to the Good people all over the world on how I was able to Enlarge my Penis by Dr. Aziba. I was living a shameful life from my young age, just last month as I was browsing on the internet about Penis size  and Enlargement Products, I saw a testimony of a Man called Tim James testifying of how he was able to get his penis Enlarged by Dr. Aziba and I decided to also Email Dr. Aziba for my small penis size and he quickly respond to me and gave me the normal instructions which i did and then he shipped the product to me here in the united state which i received in just 3 working days and today i am very happy because i started seeing positive changes in my penis size in just 7 days of use.  Dr Aziba herbal product is the best recommended for you and to whom ever suffering from this shame or having any other diseases as well should Contact this great herbal doctor via his Email : Priestazibasolutioncenter@gmail.com and WhatsApp Him on +2348100368288

    ReplyDelete
  38. HERBAL DR EMU WHO PREPARE HERBAL MEDICINE TO CURE ALL KINDS OF DISEASES INCLUDING HERPES DISEASE.   
     I have been battling this Herpes disease for almost 3 years now....I tried all possible means to get cure from my Herpes Disease but all to be in vain until i saw a post in a health forum about a herbal Dr Emu who prepare herbal medicine to cure all kind of diseases including Herpes Disease, at first i doubted if it was real but decided to give it a try...when i contact Dr Emu via his email (emutemple@gmail.com)  write him and reply me explain how the process work so after ordering for the medicine I got it within 3/4 working days through DHL Delivery and I took it according to the way Dr Emu instructed, I was so happy after 2 week I took the medicine there was very big change in my health when I was done with the process I go for test, I found out I am negative...Herpes patients should also get in touch with this herbalist Dr Emu to get rid of these Herpes Virus forever his whatsapp number +2347012841542. Website: https://emutemple.wordpress.com/ 

    ReplyDelete
  39. i want to tell the whole world of great Herbalist herbal mixture CREAM. i was unhappy ever since my girlfriend back then in college mocked me of having a small penis and weak in bed ,ever since then i have been trying to improve my sex life but all effort failed ..but it got worse when i got married ,my wife was so angry with me and Threatened to leave me if i do not find a way out and i love my wife so much, so one faithful day i was reading some comments on a blog then i saw a comment of someone testifying of how Herbalist Dr helped him enlarge his penis and Fertilize his sperm count so i quickly contacted him by his email and he got back to me and i did as he said ..to my greatest surprise i got 10 inches within two weeks of using his herbal mixture cream and now its just 3 weeks i am having 10.5 inches i am so happy now..my wife told me am so much good in bed now all thanks to OGODO herbal mixture cream for saving my marriage and disgrace. NOTE: he also cure sicknesses and diseases like
    PENIS ENLARGEMENT ERECTILE DYSFUNCTION DIABETES type 1 and type 2 HERPES GENITAL WART
    LOW SPERM COUNT WEAK ERECTION
    BREAST ENLARGEMENT
    PROSTRATE CANCER
    HIV/AIDS
    PREMATURE EJACULATION
    LOVE SPELL AND BRING YOUR EX BACK
    You can reach him via email Ogodoherbalhomesolution@gmail.com or WHATAPP HIM +2348124774363You Can check his website on his Facebook page https://www.facebook.com/oogoherbalhomesolution/

    ReplyDelete
  40. I have been a herpes carrier for 2 years and I tried every possible means
    of curing but all of no useful until I saw a health promotion on a
    herbalist from Africa who prepares herbal medicines to cure all sorts of
    diseases including cancer and many others sickness, I first doubted It was
    not true but decided to try, when I contacted this herbal physician via his
    email, I purchased herpes herbal medicine and received it within 7 days
    and used it as prescribed, I tested negative within 3 weeks of use, do not
    lose hope to contact him early If you need help, am convinced he can help you too,
    He is also special in curing 1.
    HIV/AIDS 2. HERPES 3. CANCER 4. ALS 5. HEPATITIS B 6. DIABETES 7. HUMAN
    PAPILLOMAVIRUS DISEASE(HPV) 8. ALZHEIMER 9. LUPUS (Lupus Vulgaris or Lupus Eratosthenes)ETC,,,,,, You can also visit his website:
    http://drchalaherbalhome.godaddysites.com
     email him on dr.chalaherbalhome@gmail.com

    ReplyDelete
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  42. To know more about Chief Dr Lucky you can visit his website (https://chiefdrluckyherbaltherapy.wordpress.com/)
     
     A friend that suffered from Herpes and was cure with the help of this great herbal doctor Chief Lucky so i decided to contact him for help in getting rid of my families genital herpes virus 1/2 which i did and all i was told to provide was just some useful information and some materials used in preparation of the natural cure and that i did and now i am the happiest person on earth because i am writing this testimony of mine with joy and happiness in my heart to the whole world to know that natural remedy is real because i am a living testimony of Chief Lucky traditional herbal cure and i want you all to contact Chief Lucky via his email: chiefdrlucky@gmail.com or WhatsApp him +2348132777335 am sure he will help you too.

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